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	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1jkjjjnaajk.jpg&amp;diff=108747</id>
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		<updated>2010-03-26T14:23:38Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108746</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108746"/>
		<updated>2010-03-26T14:23:23Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file:[[Mod:iijjjimjkioopp|Anti 2 BBS]] ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039; &#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair Opt 1 {{DOI|10042/to-4790}}&lt;br /&gt;
Chair Opt 2 {{DOI|10042/to-4791}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output File&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Boat Opt 1 (Failure) {{DOI|10042/to-4792}}&lt;br /&gt;
Boat Opt 2 {{DOI|10042/to-4793}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjnjk.jpg|thumb|350px|IRC Output from Chair Transition Graphs|centre]]&lt;br /&gt;
&lt;br /&gt;
As can be seen from the above graphs the IRC showed a continuous pathway to the output with each step lowering the energy until a minima was reached in 47 steps. This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This output postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjnaajk.jpg|thumb|350px|IRC Output from Boat Transition Graphs|centre]]&lt;br /&gt;
&lt;br /&gt;
Again the above IRC graphs show a continuous pathway to the outputted structure through energy minimisation and reached a minima after 66 iterations. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair IRC {{DOI|10042/to-4794}}&lt;br /&gt;
Boat IRC {{DOI|10042/to-4795}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair DFT {{DOI|10042/to-4796}}&lt;br /&gt;
Boat DFT {{DOI|10042/to-4797}}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108721</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108721"/>
		<updated>2010-03-26T14:11:47Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file:[[Mod:iijjjimjkioopp|Anti 2 BBS]] ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039; &#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair Opt 1 {{DOI|10042/to-4790}}&lt;br /&gt;
Chair Opt 2 {{DOI|10042/to-4791}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output File&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Boat Opt 1 (Failure) {{DOI|10042/to-4792}}&lt;br /&gt;
Boat Opt 2 {{DOI|10042/to-4793}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjnjk.jpg|thumb|350px|IRC Output from Chair Transition Graphs|centre]]&lt;br /&gt;
&lt;br /&gt;
As can be seen from the above graphs the IRC showed a continuous pathway to the output with each step lowering the energy until a minima was reached in 47 steps. This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
Again the IRC calculation had a continuous pathway to the output formed. This output postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair IRC {{DOI|10042/to-4794}}&lt;br /&gt;
Boat IRC {{DOI|10042/to-4795}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair DFT {{DOI|10042/to-4796}}&lt;br /&gt;
Boat DFT {{DOI|10042/to-4797}}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1jkjjjnjk.jpg&amp;diff=108720</id>
		<title>File:ITV1jkjjjnjk.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1jkjjjnjk.jpg&amp;diff=108720"/>
		<updated>2010-03-26T14:10:14Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108718</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108718"/>
		<updated>2010-03-26T14:09:57Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file:[[Mod:iijjjimjkioopp|Anti 2 BBS]] ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039; &#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair Opt 1 {{DOI|10042/to-4790}}&lt;br /&gt;
Chair Opt 2 {{DOI|10042/to-4791}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output File&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Boat Opt 1 (Failure) {{DOI|10042/to-4792}}&lt;br /&gt;
Boat Opt 2 {{DOI|10042/to-4793}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjnjk.jpg|thumb|350px|IRC Output from Chair Transition Graphs|centre]]&lt;br /&gt;
&lt;br /&gt;
As can be seen from the above graphs the IRC showed a continuous pathway to the output with each step lowering the energy until a minima was reached. This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair IRC {{DOI|10042/to-4794}}&lt;br /&gt;
Boat IRC {{DOI|10042/to-4795}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair DFT {{DOI|10042/to-4796}}&lt;br /&gt;
Boat DFT {{DOI|10042/to-4797}}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108527</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108527"/>
		<updated>2010-03-26T12:16:52Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file:[[Mod:iijjjimjkioopp|Anti 2 BBS]] ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039; &#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair Opt 1 {{DOI|10042/to-4790}}&lt;br /&gt;
Chair Opt 2 {{DOI|10042/to-4791}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output File&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Boat Opt 1 (Failure) {{DOI|10042/to-4792}}&lt;br /&gt;
Boat Opt 2 {{DOI|10042/to-4793}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair IRC {{DOI|10042/to-4794}}&lt;br /&gt;
Boat IRC {{DOI|10042/to-4795}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair DFT {{DOI|10042/to-4796}}&lt;br /&gt;
Boat DFT {{DOI|10042/to-4797}}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108520</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108520"/>
		<updated>2010-03-26T12:13:28Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file:[[Mod:iijjjimjkioopp|Anti 2 BBS]] ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039; &#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair Opt 1 {{DOI|10042/to-4790}}&lt;br /&gt;
Chair Opt 2 {{DOI|10042/to-4791}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output File&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Boat Opt 1 (Failure) {{DOI|10042/to-4792}}&lt;br /&gt;
Boat Opt 2 {{DOI|10042/to-4793}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108516</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108516"/>
		<updated>2010-03-26T12:11:27Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file:[[Mod:iijjjimjkioopp|Anti 2 BBS]] ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039; &#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Chair Opt 1 {{DOI|10042/to-4790}}&lt;br /&gt;
Chair Opt 2 {{DOI|10042/to-4791}}&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iijjjimjkioopp&amp;diff=108515</id>
		<title>Rep:Mod:iijjjimjkioopp</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iijjjimjkioopp&amp;diff=108515"/>
		<updated>2010-03-26T12:08:44Z</updated>

		<summary type="html">&lt;p&gt;Tb607: New page:  Entering Gaussian System, Link 0=g03  Initial command:  /apps/gaussian/g09/g09/l1.exe /home/scan-user-1/run/26371/Gau-14108.inp -scrdir=/home/scan-user-1/run/26371/  Entering Link 1 = /ap...&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Entering Gaussian System, Link 0=g03&lt;br /&gt;
 Initial command:&lt;br /&gt;
 /apps/gaussian/g09/g09/l1.exe /home/scan-user-1/run/26371/Gau-14108.inp -scrdir=/home/scan-user-1/run/26371/&lt;br /&gt;
 Entering Link 1 = /apps/gaussian/g09/g09/l1.exe PID=     14109.&lt;br /&gt;
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 Cite this work as:&lt;br /&gt;
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 G. A. Petersson, H. Nakatsuji, M. Caricato, X. Li, H. P. Hratchian, &lt;br /&gt;
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 and D. J. Fox, Gaussian, Inc., Wallingford CT, 2009.&lt;br /&gt;
 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 Gaussian 09:  EM64L-G09RevA.02 11-Jun-2009&lt;br /&gt;
                18-Mar-2010 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 %nprocshared=4&lt;br /&gt;
 Will use up to    4 processors via shared memory.&lt;br /&gt;
 %mem=7000MB&lt;br /&gt;
 %NoSave&lt;br /&gt;
 %Chk=chk.chk&lt;br /&gt;
 %rwf=/tmp/pbs.3660465.cx1/rwf&lt;br /&gt;
 --------------------------------------&lt;br /&gt;
 # opt b3lyp/6-31g(d) geom=connectivity&lt;br /&gt;
 --------------------------------------&lt;br /&gt;
 1/14=-1,18=20,19=15,26=3,38=1,57=2/1,3;&lt;br /&gt;
 2/9=110,12=2,17=6,18=5,40=1/2;&lt;br /&gt;
 3/5=1,6=6,7=1,11=2,16=1,25=1,30=1,71=1,74=-5/1,2,3;&lt;br /&gt;
 4//1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,28=1/1;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/14=-1,18=20,19=15/3(2);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 99//99;&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 3/5=1,6=6,7=1,11=2,16=1,25=1,30=1,71=1,74=-5/1,2,3;&lt;br /&gt;
 4/5=5,16=3/1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/14=-1,18=20,19=15/3(-5);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,19=2,28=1/1;&lt;br /&gt;
 99/9=1/99;&lt;br /&gt;
 ----------------------------------&lt;br /&gt;
 hexadiene structure 3 optimization&lt;br /&gt;
 ----------------------------------&lt;br /&gt;
 Symbolic Z-matrix:&lt;br /&gt;
 Charge =  0 Multiplicity = 1&lt;br /&gt;
 C&lt;br /&gt;
 C                    1    B1&lt;br /&gt;
 C                    2    B2       1    A1&lt;br /&gt;
 C                    3    B3       2    A2       1    D1       0&lt;br /&gt;
 C                    4    B4       3    A3       2    D2       0&lt;br /&gt;
 C                    5    B5       4    A4       3    D3       0&lt;br /&gt;
 H                    1    B6       2    A5       3    D4       0&lt;br /&gt;
 H                    1    B7       2    A6       3    D5       0&lt;br /&gt;
 H                    2    B8       1    A7       3    D6       0&lt;br /&gt;
 H                    3    B9       2    A8       1    D7       0&lt;br /&gt;
 H                    3    B10      2    A9       1    D8       0&lt;br /&gt;
 H                    4    B11      3    A10      2    D9       0&lt;br /&gt;
 H                    4    B12      3    A11      2    D10      0&lt;br /&gt;
 H                    5    B13      4    A12      3    D11      0&lt;br /&gt;
 H                    6    B14      5    A13      4    D12      0&lt;br /&gt;
 H                    6    B15      5    A14      4    D13      0&lt;br /&gt;
       Variables:&lt;br /&gt;
  B1                    1.31615                  &lt;br /&gt;
  B2                    1.50886                  &lt;br /&gt;
  B3                    1.55305                  &lt;br /&gt;
  B4                    1.50886                  &lt;br /&gt;
  B5                    1.31615                  &lt;br /&gt;
  B6                    1.07465                  &lt;br /&gt;
  B7                    1.07338                  &lt;br /&gt;
  B8                    1.07694                  &lt;br /&gt;
  B9                    1.08555                  &lt;br /&gt;
  B10                   1.08474                  &lt;br /&gt;
  B11                   1.08474                  &lt;br /&gt;
  B12                   1.08555                  &lt;br /&gt;
  B13                   1.07694                  &lt;br /&gt;
  B14                   1.07338                  &lt;br /&gt;
  B15                   1.07465                  &lt;br /&gt;
  A1                  124.81499                  &lt;br /&gt;
  A2                  111.34556                  &lt;br /&gt;
  A3                  111.34477                  &lt;br /&gt;
  A4                  124.81481                  &lt;br /&gt;
  A5                  121.82303                  &lt;br /&gt;
  A6                  121.86725                  &lt;br /&gt;
  A7                  119.67676                  &lt;br /&gt;
  A8                  109.97707                  &lt;br /&gt;
  A9                  109.97427                  &lt;br /&gt;
  A10                 109.39523                  &lt;br /&gt;
  A11                 108.33882                  &lt;br /&gt;
  A12                 115.49973                  &lt;br /&gt;
  A13                 121.86681                  &lt;br /&gt;
  A14                 121.82336                  &lt;br /&gt;
  D1                 -114.68416                  &lt;br /&gt;
  D2                 -180.                       &lt;br /&gt;
  D3                  114.69447                  &lt;br /&gt;
  D4                   -1.08454                  &lt;br /&gt;
  D5                  179.08518                  &lt;br /&gt;
  D6                 -178.9112                   &lt;br /&gt;
  D7                  125.21458                  &lt;br /&gt;
  D8                    6.74182                  &lt;br /&gt;
  D9                  -58.23485                  &lt;br /&gt;
  D10                  58.93788                  &lt;br /&gt;
  D11                 -64.2758                   &lt;br /&gt;
  D12                -179.11596                  &lt;br /&gt;
  D13                   1.09121                  &lt;br /&gt;
 &lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Initialization pass.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !    Initial Parameters    !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.3162         estimate D2E/DX2                !&lt;br /&gt;
 ! R2    R(1,7)                  1.0747         estimate D2E/DX2                !&lt;br /&gt;
 ! R3    R(1,8)                  1.0734         estimate D2E/DX2                !&lt;br /&gt;
 ! R4    R(2,3)                  1.5089         estimate D2E/DX2                !&lt;br /&gt;
 ! R5    R(2,9)                  1.0769         estimate D2E/DX2                !&lt;br /&gt;
 ! R6    R(3,4)                  1.553          estimate D2E/DX2                !&lt;br /&gt;
 ! R7    R(3,10)                 1.0855         estimate D2E/DX2                !&lt;br /&gt;
 ! R8    R(3,11)                 1.0847         estimate D2E/DX2                !&lt;br /&gt;
 ! R9    R(4,5)                  1.5089         estimate D2E/DX2                !&lt;br /&gt;
 ! R10   R(4,12)                 1.0847         estimate D2E/DX2                !&lt;br /&gt;
 ! R11   R(4,13)                 1.0855         estimate D2E/DX2                !&lt;br /&gt;
 ! R12   R(5,6)                  1.3162         estimate D2E/DX2                !&lt;br /&gt;
 ! R13   R(5,14)                 1.0769         estimate D2E/DX2                !&lt;br /&gt;
 ! R14   R(6,15)                 1.0734         estimate D2E/DX2                !&lt;br /&gt;
 ! R15   R(6,16)                 1.0747         estimate D2E/DX2                !&lt;br /&gt;
 ! A1    A(2,1,7)              121.823          estimate D2E/DX2                !&lt;br /&gt;
 ! A2    A(2,1,8)              121.8673         estimate D2E/DX2                !&lt;br /&gt;
 ! A3    A(7,1,8)              116.3095         estimate D2E/DX2                !&lt;br /&gt;
 ! A4    A(1,2,3)              124.815          estimate D2E/DX2                !&lt;br /&gt;
 ! A5    A(1,2,9)              119.6768         estimate D2E/DX2                !&lt;br /&gt;
 ! A6    A(3,2,9)              115.5001         estimate D2E/DX2                !&lt;br /&gt;
 ! A7    A(2,3,4)              111.3456         estimate D2E/DX2                !&lt;br /&gt;
 ! A8    A(2,3,10)             109.9771         estimate D2E/DX2                !&lt;br /&gt;
 ! A9    A(2,3,11)             109.9743         estimate D2E/DX2                !&lt;br /&gt;
 ! A10   A(4,3,10)             108.3405         estimate D2E/DX2                !&lt;br /&gt;
 ! A11   A(4,3,11)             109.395          estimate D2E/DX2                !&lt;br /&gt;
 ! A12   A(10,3,11)            107.7219         estimate D2E/DX2                !&lt;br /&gt;
 ! A13   A(3,4,5)              111.3448         estimate D2E/DX2                !&lt;br /&gt;
 ! A14   A(3,4,12)             109.3952         estimate D2E/DX2                !&lt;br /&gt;
 ! A15   A(3,4,13)             108.3388         estimate D2E/DX2                !&lt;br /&gt;
 ! A16   A(5,4,12)             109.9763         estimate D2E/DX2                !&lt;br /&gt;
 ! A17   A(5,4,13)             109.9773         estimate D2E/DX2                !&lt;br /&gt;
 ! A18   A(12,4,13)            107.7218         estimate D2E/DX2                !&lt;br /&gt;
 ! A19   A(4,5,6)              124.8148         estimate D2E/DX2                !&lt;br /&gt;
 ! A20   A(4,5,14)             115.4997         estimate D2E/DX2                !&lt;br /&gt;
 ! A21   A(6,5,14)             119.6776         estimate D2E/DX2                !&lt;br /&gt;
 ! A22   A(5,6,15)             121.8668         estimate D2E/DX2                !&lt;br /&gt;
 ! A23   A(5,6,16)             121.8234         estimate D2E/DX2                !&lt;br /&gt;
 ! A24   A(15,6,16)            116.3095         estimate D2E/DX2                !&lt;br /&gt;
 ! D1    D(7,1,2,3)             -1.0845         estimate D2E/DX2                !&lt;br /&gt;
 ! D2    D(7,1,2,9)           -179.9957         estimate D2E/DX2                !&lt;br /&gt;
 ! D3    D(8,1,2,3)            179.0852         estimate D2E/DX2                !&lt;br /&gt;
 ! D4    D(8,1,2,9)              0.174          estimate D2E/DX2                !&lt;br /&gt;
 ! D5    D(1,2,3,4)           -114.6842         estimate D2E/DX2                !&lt;br /&gt;
 ! D6    D(1,2,3,10)           125.2146         estimate D2E/DX2                !&lt;br /&gt;
 ! D7    D(1,2,3,11)             6.7418         estimate D2E/DX2                !&lt;br /&gt;
 ! D8    D(9,2,3,4)             64.2678         estimate D2E/DX2                !&lt;br /&gt;
 ! D9    D(9,2,3,10)           -55.8335         estimate D2E/DX2                !&lt;br /&gt;
 ! D10   D(9,2,3,11)          -174.3063         estimate D2E/DX2                !&lt;br /&gt;
 ! D11   D(2,3,4,5)            180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D12   D(2,3,4,12)           -58.2349         estimate D2E/DX2                !&lt;br /&gt;
 ! D13   D(2,3,4,13)            58.9379         estimate D2E/DX2                !&lt;br /&gt;
 ! D14   D(10,3,4,5)           -58.9366         estimate D2E/DX2                !&lt;br /&gt;
 ! D15   D(10,3,4,12)           62.8286         estimate D2E/DX2                !&lt;br /&gt;
 ! D16   D(10,3,4,13)         -179.9987         estimate D2E/DX2                !&lt;br /&gt;
 ! D17   D(11,3,4,5)            58.2371         estimate D2E/DX2                !&lt;br /&gt;
 ! D18   D(11,3,4,12)         -179.9978         estimate D2E/DX2                !&lt;br /&gt;
 ! D19   D(11,3,4,13)          -62.825          estimate D2E/DX2                !&lt;br /&gt;
 ! D20   D(3,4,5,6)            114.6945         estimate D2E/DX2                !&lt;br /&gt;
 ! D21   D(3,4,5,14)           -64.2758         estimate D2E/DX2                !&lt;br /&gt;
 ! D22   D(12,4,5,6)            -6.7327         estimate D2E/DX2                !&lt;br /&gt;
 ! D23   D(12,4,5,14)          174.297          estimate D2E/DX2                !&lt;br /&gt;
 ! D24   D(13,4,5,6)          -125.2067         estimate D2E/DX2                !&lt;br /&gt;
 ! D25   D(13,4,5,14)           55.823          estimate D2E/DX2                !&lt;br /&gt;
 ! D26   D(4,5,6,15)          -179.116          estimate D2E/DX2                !&lt;br /&gt;
 ! D27   D(4,5,6,16)             1.0912         estimate D2E/DX2                !&lt;br /&gt;
 ! D28   D(14,5,6,15)           -0.1857         estimate D2E/DX2                !&lt;br /&gt;
 ! D29   D(14,5,6,16)         -179.9786         estimate D2E/DX2                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 Trust Radius=3.00D-01 FncErr=1.00D-07 GrdErr=1.00D-06&lt;br /&gt;
 Number of steps in this run=  78 maximum allowed number of steps= 100.&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        0.000000    0.000000    0.000000&lt;br /&gt;
      2          6           0        0.000000    0.000000    1.316151&lt;br /&gt;
      3          6           0        1.238775    0.000000    2.177603&lt;br /&gt;
      4          6           0        1.357993   -1.314334    2.996301&lt;br /&gt;
      5          6           0        2.596769   -1.314315    3.857743&lt;br /&gt;
      6          6           0        2.596773   -1.314500    5.173893&lt;br /&gt;
      7          1           0        0.912948    0.017283   -0.566661&lt;br /&gt;
      8          1           0       -0.911474   -0.014554   -0.566692&lt;br /&gt;
      9          1           0       -0.935509   -0.017780    1.849349&lt;br /&gt;
     10          1           0        1.207380    0.833525    2.872342&lt;br /&gt;
     11          1           0        2.121024    0.119684    1.557945&lt;br /&gt;
     12          1           0        0.475726   -1.434042    3.615934&lt;br /&gt;
     13          1           0        1.389410   -2.147839    2.301536&lt;br /&gt;
     14          1           0        3.532276   -1.296666    3.324530&lt;br /&gt;
     15          1           0        3.508259   -1.300412    5.740578&lt;br /&gt;
     16          1           0        1.683834   -1.332072    5.740559&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316151   0.000000&lt;br /&gt;
     3  C    2.505298   1.508861   0.000000&lt;br /&gt;
     4  C    3.542519   2.528740   1.553046   0.000000&lt;br /&gt;
     5  C    4.832475   3.863978   2.528724   1.508857   0.000000&lt;br /&gt;
     6  C    5.936355   4.832527   3.542573   2.505291   1.316150&lt;br /&gt;
     7  H    1.074652   2.092547   2.763593   3.829617   4.917699&lt;br /&gt;
     8  H    1.073376   2.091912   3.486394   4.419823   5.794202&lt;br /&gt;
     9  H    2.072579   1.076937   2.198994   2.873448   4.265166&lt;br /&gt;
    10  H    3.225349   2.138752   1.085547   2.156699   2.741284&lt;br /&gt;
    11  H    2.634437   2.138113   1.084741   2.169675   2.751683&lt;br /&gt;
    12  H    3.918899   2.751689   2.169681   1.084745   2.138138&lt;br /&gt;
    13  H    3.441038   2.741287   2.156678   1.085548   2.138751&lt;br /&gt;
    14  H    5.021037   4.265197   2.873488   2.198989   1.076940&lt;br /&gt;
    15  H    6.852240   5.794351   4.420002   3.486386   2.091907&lt;br /&gt;
    16  H    6.128926   4.917835   3.829772   2.763592   2.092550&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.128856   0.000000&lt;br /&gt;
     8  H    6.852151   1.824699   0.000000&lt;br /&gt;
     9  H    5.021064   3.042224   2.416163   0.000000&lt;br /&gt;
    10  H    3.441157   3.546785   4.127437   2.522539   0.000000&lt;br /&gt;
    11  H    3.918967   2.446198   3.705151   3.073467   1.752699&lt;br /&gt;
    12  H    2.634458   4.448776   4.629647   2.667996   2.496018&lt;br /&gt;
    13  H    3.225308   3.625097   4.251083   3.185416   3.040968&lt;br /&gt;
    14  H    2.072590   4.871213   6.044199   4.875737   3.185487&lt;br /&gt;
    15  H    1.073376   6.946454   7.808273   6.044326   4.251413&lt;br /&gt;
    16  H    1.074652   6.495849   6.946431   4.871328   3.625395&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.058821   0.000000&lt;br /&gt;
    13  H    2.495966   1.752703   0.000000&lt;br /&gt;
    14  H    2.668052   3.073482   2.522476   0.000000&lt;br /&gt;
    15  H    4.629850   3.705162   4.127306   2.416170   0.000000&lt;br /&gt;
    16  H    4.448932   2.446213   3.546694   3.042234   1.824699&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.956461   -0.218776   -0.146646&lt;br /&gt;
      2          6           0        1.870265    0.453966    0.169346&lt;br /&gt;
      3          6           0        0.544023   -0.170182    0.527372&lt;br /&gt;
      4          6           0       -0.544005    0.170188   -0.527283&lt;br /&gt;
      5          6           0       -1.870235   -0.453967   -0.169240&lt;br /&gt;
      6          6           0       -2.956481    0.218776    0.146573&lt;br /&gt;
      7          1           0        2.975297   -1.293234   -0.154617&lt;br /&gt;
      8          1           0        3.872962    0.275058   -0.407971&lt;br /&gt;
      9          1           0        1.890118    1.530715    0.166051&lt;br /&gt;
     10          1           0        0.210226    0.196471    1.493062&lt;br /&gt;
     11          1           0        0.649359   -1.247245    0.601546&lt;br /&gt;
     12          1           0       -0.649318    1.247255   -0.601489&lt;br /&gt;
     13          1           0       -0.210192   -0.196497   -1.492957&lt;br /&gt;
     14          1           0       -1.890110   -1.530719   -0.166075&lt;br /&gt;
     15          1           0       -3.873107   -0.275064    0.407449&lt;br /&gt;
     16          1           0       -2.975403    1.293233    0.154268&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.9067655      1.3637481      1.3465298&lt;br /&gt;
 Standard basis: 6-31G(d) (6D, 7F)&lt;br /&gt;
 There are   110 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    131072 words long.&lt;br /&gt;
 Raffenetti 2 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
   110 basis functions,   208 primitive gaussians,   110 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.0910898601 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=   110 RedAO= T  NBF=   110&lt;br /&gt;
 NBsUse=   110 1.00D-06 NBFU=   110&lt;br /&gt;
 Harris functional with IExCor=  402 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.61D-01 ExpMax= 3.05D+03 ExpMxC= 4.57D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  402 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state of the initial guess is 1-A.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=19759229.&lt;br /&gt;
 Integral accuracy reduced to 1.0D-05 until final iterations.&lt;br /&gt;
 Initial convergence to 1.0D-05 achieved.  Increase integral accuracy.&lt;br /&gt;
 SCF Done:  E(RB3LYP) =  -234.609548003     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.2496D-08             -V/T =  2.0091&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -10.18344 -10.18326 -10.18231 -10.18231 -10.17030&lt;br /&gt;
 Alpha  occ. eigenvalues --  -10.17029  -0.81015  -0.77125  -0.71178  -0.63160&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.55833  -0.54966  -0.47881  -0.46003  -0.44103&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.40209  -0.40159  -0.38034  -0.35148  -0.34131&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.32616  -0.26174  -0.24778&lt;br /&gt;
 Alpha virt. eigenvalues --    0.02332   0.03337   0.11079   0.11818   0.13258&lt;br /&gt;
 Alpha virt. eigenvalues --    0.15107   0.15610   0.16312   0.19168   0.19232&lt;br /&gt;
 Alpha virt. eigenvalues --    0.19685   0.20901   0.24091   0.29672   0.31580&lt;br /&gt;
 Alpha virt. eigenvalues --    0.37759   0.38180   0.48662   0.50992   0.53036&lt;br /&gt;
 Alpha virt. eigenvalues --    0.53214   0.54911   0.58115   0.60417   0.60607&lt;br /&gt;
 Alpha virt. eigenvalues --    0.65290   0.67154   0.68469   0.69640   0.70100&lt;br /&gt;
 Alpha virt. eigenvalues --    0.75215   0.76893   0.79561   0.84321   0.85745&lt;br /&gt;
 Alpha virt. eigenvalues --    0.87448   0.88791   0.90956   0.91333   0.94481&lt;br /&gt;
 Alpha virt. eigenvalues --    0.94558   0.96766   0.97902   1.00199   1.11371&lt;br /&gt;
 Alpha virt. eigenvalues --    1.18440   1.19739   1.31237   1.32488   1.34805&lt;br /&gt;
 Alpha virt. eigenvalues --    1.37442   1.47133   1.49154   1.60038   1.61924&lt;br /&gt;
 Alpha virt. eigenvalues --    1.68264   1.71868   1.75973   1.84554   1.91068&lt;br /&gt;
 Alpha virt. eigenvalues --    1.92664   1.95279   2.00598   2.00712   2.02946&lt;br /&gt;
 Alpha virt. eigenvalues --    2.10828   2.14549   2.21389   2.25219   2.26400&lt;br /&gt;
 Alpha virt. eigenvalues --    2.37026   2.38054   2.43405   2.47887   2.51599&lt;br /&gt;
 Alpha virt. eigenvalues --    2.61150   2.64053   2.79180   2.80635   2.87306&lt;br /&gt;
 Alpha virt. eigenvalues --    2.94874   4.11921   4.14379   4.19006   4.33364&lt;br /&gt;
 Alpha virt. eigenvalues --    4.40024   4.51778&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    4.993771   0.696103  -0.032578  -0.002430  -0.000024  -0.000002&lt;br /&gt;
     2  C    0.696103   4.758257   0.389234  -0.043162   0.004241  -0.000024&lt;br /&gt;
     3  C   -0.032578   0.389234   5.051685   0.355082  -0.043168  -0.002426&lt;br /&gt;
     4  C   -0.002430  -0.043162   0.355082   5.051675   0.389237  -0.032576&lt;br /&gt;
     5  C   -0.000024   0.004241  -0.043168   0.389237   4.758249   0.696101&lt;br /&gt;
     6  C   -0.000002  -0.000024  -0.002426  -0.032576   0.696101   4.993774&lt;br /&gt;
     7  H    0.370515  -0.035487  -0.013610   0.000233  -0.000013   0.000000&lt;br /&gt;
     8  H    0.366700  -0.024937   0.005339  -0.000113   0.000002   0.000000&lt;br /&gt;
     9  H   -0.049096   0.368938  -0.057397  -0.001893   0.000008   0.000001&lt;br /&gt;
    10  H    0.001487  -0.031326   0.364677  -0.043123   0.000367   0.002027&lt;br /&gt;
    11  H   -0.007219  -0.037329   0.369314  -0.038306  -0.002160   0.000078&lt;br /&gt;
    12  H    0.000078  -0.002160  -0.038308   0.369316  -0.037328  -0.007219&lt;br /&gt;
    13  H    0.002028   0.000367  -0.043124   0.364677  -0.031323   0.001484&lt;br /&gt;
    14  H    0.000001   0.000008  -0.001893  -0.057395   0.368938  -0.049095&lt;br /&gt;
    15  H    0.000000   0.000002  -0.000113   0.005339  -0.024936   0.366699&lt;br /&gt;
    16  H    0.000000  -0.000013   0.000233  -0.013610  -0.035486   0.370516&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C    0.370515   0.366700  -0.049096   0.001487  -0.007219   0.000078&lt;br /&gt;
     2  C   -0.035487  -0.024937   0.368938  -0.031326  -0.037329  -0.002160&lt;br /&gt;
     3  C   -0.013610   0.005339  -0.057397   0.364677   0.369314  -0.038308&lt;br /&gt;
     4  C    0.000233  -0.000113  -0.001893  -0.043123  -0.038306   0.369316&lt;br /&gt;
     5  C   -0.000013   0.000002   0.000008   0.000367  -0.002160  -0.037328&lt;br /&gt;
     6  C    0.000000   0.000000   0.000001   0.002027   0.000078  -0.007219&lt;br /&gt;
     7  H    0.575950  -0.045748   0.006652   0.000174   0.007238   0.000025&lt;br /&gt;
     8  H   -0.045748   0.570545  -0.008987  -0.000224   0.000047   0.000005&lt;br /&gt;
     9  H    0.006652  -0.008987   0.610607  -0.002376   0.005550   0.003956&lt;br /&gt;
    10  H    0.000174  -0.000224  -0.002376   0.592099  -0.035772  -0.004711&lt;br /&gt;
    11  H    0.007238   0.000047   0.005550  -0.035772   0.594854   0.005536&lt;br /&gt;
    12  H    0.000025   0.000005   0.003956  -0.004711   0.005536   0.594850&lt;br /&gt;
    13  H    0.000100  -0.000066  -0.000183   0.006381  -0.004712  -0.035772&lt;br /&gt;
    14  H    0.000000   0.000000   0.000006  -0.000183   0.003955   0.005550&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000  -0.000066   0.000005   0.000047&lt;br /&gt;
    16  H    0.000000   0.000000   0.000000   0.000100   0.000025   0.007238&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C    0.002028   0.000001   0.000000   0.000000&lt;br /&gt;
     2  C    0.000367   0.000008   0.000002  -0.000013&lt;br /&gt;
     3  C   -0.043124  -0.001893  -0.000113   0.000233&lt;br /&gt;
     4  C    0.364677  -0.057395   0.005339  -0.013610&lt;br /&gt;
     5  C   -0.031323   0.368938  -0.024936  -0.035486&lt;br /&gt;
     6  C    0.001484  -0.049095   0.366699   0.370516&lt;br /&gt;
     7  H    0.000100   0.000000   0.000000   0.000000&lt;br /&gt;
     8  H   -0.000066   0.000000   0.000000   0.000000&lt;br /&gt;
     9  H   -0.000183   0.000006   0.000000   0.000000&lt;br /&gt;
    10  H    0.006381  -0.000183  -0.000066   0.000100&lt;br /&gt;
    11  H   -0.004712   0.003955   0.000005   0.000025&lt;br /&gt;
    12  H   -0.035772   0.005550   0.000047   0.007238&lt;br /&gt;
    13  H    0.592097  -0.002377  -0.000224   0.000174&lt;br /&gt;
    14  H   -0.002377   0.610603  -0.008987   0.006652&lt;br /&gt;
    15  H   -0.000224  -0.008987   0.570544  -0.045748&lt;br /&gt;
    16  H    0.000174   0.006652  -0.045748   0.575946&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.339333&lt;br /&gt;
     2  C   -0.042711&lt;br /&gt;
     3  C   -0.302950&lt;br /&gt;
     4  C   -0.302950&lt;br /&gt;
     5  C   -0.042705&lt;br /&gt;
     6  C   -0.339337&lt;br /&gt;
     7  H    0.133969&lt;br /&gt;
     8  H    0.137437&lt;br /&gt;
     9  H    0.124215&lt;br /&gt;
    10  H    0.150471&lt;br /&gt;
    11  H    0.138896&lt;br /&gt;
    12  H    0.138897&lt;br /&gt;
    13  H    0.150473&lt;br /&gt;
    14  H    0.124219&lt;br /&gt;
    15  H    0.137437&lt;br /&gt;
    16  H    0.133972&lt;br /&gt;
 Sum of Mulliken atomic charges =   0.00000&lt;br /&gt;
 Mulliken charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.067927&lt;br /&gt;
     2  C    0.081504&lt;br /&gt;
     3  C   -0.013582&lt;br /&gt;
     4  C   -0.013581&lt;br /&gt;
     5  C    0.081514&lt;br /&gt;
     6  C   -0.067928&lt;br /&gt;
 Sum of Mulliken charges with hydrogens summed into heavy atoms =   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=            908.2463&lt;br /&gt;
 Charge=              0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=             -0.0002    Y=              0.0000    Z=             -0.0005  Tot=              0.0006&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=            -38.4340   YY=            -35.6275   ZZ=            -40.3325&lt;br /&gt;
   XY=              0.1200   XZ=             -1.2071   YZ=              0.2634&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=             -0.3027   YY=              2.5039   ZZ=             -2.2012&lt;br /&gt;
   XY=              0.1200   XZ=             -1.2071   YZ=              0.2634&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=             -0.0068  YYY=              0.0000  ZZZ=             -0.0006  XYY=             -0.0004&lt;br /&gt;
  XXY=              0.0003  XXZ=             -0.0070  XZZ=              0.0014  YZZ=              0.0000&lt;br /&gt;
  YYZ=             -0.0008  XYZ=              0.0003&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX=          -1015.0361 YYYY=            -98.7742 ZZZZ=            -86.3242 XXXY=              6.3086&lt;br /&gt;
 XXXZ=            -27.8182 YYYX=             -0.9424 YYYZ=              0.2376 ZZZX=              0.0999&lt;br /&gt;
 ZZZY=              1.1443 XXYY=           -182.6478 XXZZ=           -209.6792 YYZZ=            -33.1651&lt;br /&gt;
 XXYZ=             -1.1526 YYXZ=             -0.2609 ZZXY=              0.1620&lt;br /&gt;
 N-N= 2.130910898601D+02 E-N=-9.683825114608D+02  KE= 2.325010550495D+02&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.001422260    0.000016490   -0.011669328&lt;br /&gt;
      2        6           0.011664290    0.001825144    0.016605296&lt;br /&gt;
      3        6          -0.010611532   -0.011319331   -0.001582737&lt;br /&gt;
      4        6           0.010605291    0.011333839    0.001576355&lt;br /&gt;
      5        6          -0.011663855   -0.001841524   -0.016605807&lt;br /&gt;
      6        6           0.001425210   -0.000048966    0.011670289&lt;br /&gt;
      7        1           0.008541809    0.000244946   -0.005220828&lt;br /&gt;
      8        1          -0.008416218   -0.000187533   -0.005497207&lt;br /&gt;
      9        1          -0.009048068   -0.000370770    0.004812633&lt;br /&gt;
     10        1           0.000549990    0.006670496    0.005288536&lt;br /&gt;
     11        1           0.006653601    0.001755030   -0.004644403&lt;br /&gt;
     12        1          -0.006649754   -0.001754432    0.004644853&lt;br /&gt;
     13        1          -0.000547947   -0.006671437   -0.005285506&lt;br /&gt;
     14        1           0.009045686    0.000379892   -0.004810227&lt;br /&gt;
     15        1           0.008415885    0.000201131    0.005497697&lt;br /&gt;
     16        1          -0.008542126   -0.000232977    0.005220383&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.016605807 RMS     0.007201995&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.022389859 RMS     0.005332988&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   1 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- RFO/linear search&lt;br /&gt;
 Second derivative matrix not updated -- first step.&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00649   0.00649   0.01716   0.01716&lt;br /&gt;
     Eigenvalues ---    0.03198   0.03198   0.03198   0.03198   0.04206&lt;br /&gt;
     Eigenvalues ---    0.04207   0.05450   0.05450   0.09091   0.09091&lt;br /&gt;
     Eigenvalues ---    0.12675   0.12675   0.15998   0.15998   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16000   0.21957   0.21957&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22000   0.27394   0.31465   0.31466&lt;br /&gt;
     Eigenvalues ---    0.35332   0.35332   0.35427   0.35428   0.36367&lt;br /&gt;
     Eigenvalues ---    0.36367   0.36648   0.36648   0.36807   0.36807&lt;br /&gt;
     Eigenvalues ---    0.62900   0.629001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-4.26703668D-03 EMin= 2.30000000D-03&lt;br /&gt;
 Linear search not attempted -- first point.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.02350248 RMS(Int)=  0.00008654&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00008875 RMS(Int)=  0.00001744&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000001 RMS(Int)=  0.00001744&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.48717   0.02239   0.00000   0.03535   0.03535   2.52252&lt;br /&gt;
    R2        2.03080   0.01001   0.00000   0.02701   0.02701   2.05781&lt;br /&gt;
    R3        2.02839   0.01005   0.00000   0.02700   0.02700   2.05539&lt;br /&gt;
    R4        2.85133  -0.00052   0.00000  -0.00164  -0.00164   2.84969&lt;br /&gt;
    R5        2.03512   0.01025   0.00000   0.02786   0.02786   2.06297&lt;br /&gt;
    R6        2.93483   0.00000   0.00000  -0.00001  -0.00001   2.93482&lt;br /&gt;
    R7        2.05139   0.00849   0.00000   0.02374   0.02374   2.07513&lt;br /&gt;
    R8        2.04986   0.00826   0.00000   0.02303   0.02303   2.07289&lt;br /&gt;
    R9        2.85133  -0.00052   0.00000  -0.00164  -0.00164   2.84969&lt;br /&gt;
   R10        2.04987   0.00825   0.00000   0.02302   0.02302   2.07289&lt;br /&gt;
   R11        2.05139   0.00849   0.00000   0.02374   0.02374   2.07513&lt;br /&gt;
   R12        2.48716   0.02239   0.00000   0.03536   0.03536   2.52252&lt;br /&gt;
   R13        2.03512   0.01025   0.00000   0.02785   0.02785   2.06297&lt;br /&gt;
   R14        2.02839   0.01005   0.00000   0.02700   0.02700   2.05539&lt;br /&gt;
   R15        2.03080   0.01001   0.00000   0.02701   0.02701   2.05780&lt;br /&gt;
    A1        2.12621  -0.00025   0.00000  -0.00149  -0.00149   2.12472&lt;br /&gt;
    A2        2.12698   0.00035   0.00000   0.00213   0.00213   2.12912&lt;br /&gt;
    A3        2.02998  -0.00011   0.00000  -0.00064  -0.00064   2.02934&lt;br /&gt;
    A4        2.17843   0.00155   0.00000   0.00692   0.00692   2.18535&lt;br /&gt;
    A5        2.08875  -0.00108   0.00000  -0.00533  -0.00533   2.08342&lt;br /&gt;
    A6        2.01586  -0.00047   0.00000  -0.00163  -0.00163   2.01422&lt;br /&gt;
    A7        1.94335   0.00304   0.00000   0.01631   0.01628   1.95962&lt;br /&gt;
    A8        1.91946  -0.00055   0.00000  -0.00059  -0.00060   1.91886&lt;br /&gt;
    A9        1.91941  -0.00121   0.00000  -0.00435  -0.00442   1.91499&lt;br /&gt;
   A10        1.89090  -0.00107   0.00000  -0.00498  -0.00500   1.88590&lt;br /&gt;
   A11        1.90930  -0.00023   0.00000   0.00244   0.00241   1.91172&lt;br /&gt;
   A12        1.88010  -0.00007   0.00000  -0.00966  -0.00968   1.87042&lt;br /&gt;
   A13        1.94333   0.00305   0.00000   0.01634   0.01631   1.95964&lt;br /&gt;
   A14        1.90931  -0.00023   0.00000   0.00244   0.00241   1.91172&lt;br /&gt;
   A15        1.89087  -0.00107   0.00000  -0.00496  -0.00497   1.88590&lt;br /&gt;
   A16        1.91945  -0.00121   0.00000  -0.00438  -0.00445   1.91500&lt;br /&gt;
   A17        1.91947  -0.00056   0.00000  -0.00062  -0.00063   1.91884&lt;br /&gt;
   A18        1.88010  -0.00007   0.00000  -0.00966  -0.00968   1.87042&lt;br /&gt;
   A19        2.17843   0.00156   0.00000   0.00692   0.00692   2.18535&lt;br /&gt;
   A20        2.01585  -0.00047   0.00000  -0.00163  -0.00163   2.01422&lt;br /&gt;
   A21        2.08877  -0.00108   0.00000  -0.00534  -0.00535   2.08342&lt;br /&gt;
   A22        2.12698   0.00035   0.00000   0.00214   0.00214   2.12912&lt;br /&gt;
   A23        2.12622  -0.00025   0.00000  -0.00150  -0.00150   2.12472&lt;br /&gt;
   A24        2.02998  -0.00011   0.00000  -0.00064  -0.00064   2.02934&lt;br /&gt;
    D1       -0.01893  -0.00010   0.00000  -0.00341  -0.00341  -0.02234&lt;br /&gt;
    D2       -3.14152  -0.00004   0.00000  -0.00047  -0.00047   3.14119&lt;br /&gt;
    D3        3.12563  -0.00008   0.00000  -0.00287  -0.00287   3.12276&lt;br /&gt;
    D4        0.00304  -0.00002   0.00000   0.00006   0.00006   0.00310&lt;br /&gt;
    D5       -2.00162  -0.00030   0.00000  -0.01145  -0.01143  -2.01305&lt;br /&gt;
    D6        2.18541  -0.00055   0.00000  -0.01537  -0.01537   2.17004&lt;br /&gt;
    D7        0.11767   0.00061   0.00000  -0.00049  -0.00050   0.11716&lt;br /&gt;
    D8        1.12168  -0.00036   0.00000  -0.01432  -0.01431   1.10738&lt;br /&gt;
    D9       -0.97448  -0.00062   0.00000  -0.01823  -0.01824  -0.99272&lt;br /&gt;
   D10       -3.04222   0.00054   0.00000  -0.00336  -0.00337  -3.04559&lt;br /&gt;
   D11       -3.14159   0.00000   0.00000   0.00000   0.00000   3.14159&lt;br /&gt;
   D12       -1.01639   0.00032   0.00000   0.00685   0.00689  -1.00950&lt;br /&gt;
   D13        1.02866  -0.00050   0.00000  -0.00616  -0.00613   1.02253&lt;br /&gt;
   D14       -1.02864   0.00050   0.00000   0.00615   0.00612  -1.02252&lt;br /&gt;
   D15        1.09657   0.00082   0.00000   0.01300   0.01302   1.10958&lt;br /&gt;
   D16       -3.14157   0.00000   0.00000   0.00000   0.00000  -3.14157&lt;br /&gt;
   D17        1.01643  -0.00032   0.00000  -0.00688  -0.00692   1.00951&lt;br /&gt;
   D18       -3.14155   0.00000   0.00000  -0.00002  -0.00002  -3.14158&lt;br /&gt;
   D19       -1.09650  -0.00082   0.00000  -0.01303  -0.01304  -1.10955&lt;br /&gt;
   D20        2.00180   0.00029   0.00000   0.01127   0.01125   2.01305&lt;br /&gt;
   D21       -1.12182   0.00037   0.00000   0.01453   0.01451  -1.10731&lt;br /&gt;
   D22       -0.11751  -0.00061   0.00000   0.00031   0.00032  -0.11719&lt;br /&gt;
   D23        3.04206  -0.00054   0.00000   0.00357   0.00358   3.04564&lt;br /&gt;
   D24       -2.18527   0.00055   0.00000   0.01521   0.01522  -2.17005&lt;br /&gt;
   D25        0.97430   0.00062   0.00000   0.01847   0.01848   0.99277&lt;br /&gt;
   D26       -3.12616   0.00010   0.00000   0.00350   0.00350  -3.12266&lt;br /&gt;
   D27        0.01905   0.00009   0.00000   0.00326   0.00326   0.02231&lt;br /&gt;
   D28       -0.00324   0.00003   0.00000   0.00016   0.00016  -0.00308&lt;br /&gt;
   D29       -3.14122   0.00002   0.00000  -0.00008  -0.00008  -3.14130&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.022390     0.000450     NO &lt;br /&gt;
 RMS     Force            0.005333     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.072616     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.023467     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.160407D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -0.010567    0.009184   -0.027340&lt;br /&gt;
      2          6           0       -0.003257    0.001192    1.307476&lt;br /&gt;
      3          6           0        1.233560   -0.005255    2.170192&lt;br /&gt;
      4          6           0        1.363216   -1.309248    3.003697&lt;br /&gt;
      5          6           0        2.600029   -1.315721    3.866416&lt;br /&gt;
      6          6           0        2.607336   -1.323721    5.201232&lt;br /&gt;
      7          1           0        0.912183    0.032366   -0.605088&lt;br /&gt;
      8          1           0       -0.936060   -0.003814   -0.598572&lt;br /&gt;
      9          1           0       -0.951457   -0.021923    1.847978&lt;br /&gt;
     10          1           0        1.208548    0.843022    2.867078&lt;br /&gt;
     11          1           0        2.123976    0.118288    1.541586&lt;br /&gt;
     12          1           0        0.472794   -1.432803    3.632292&lt;br /&gt;
     13          1           0        1.388246   -2.157520    2.306806&lt;br /&gt;
     14          1           0        3.548227   -1.292550    3.325915&lt;br /&gt;
     15          1           0        3.532826   -1.310657    5.772466&lt;br /&gt;
     16          1           0        1.684583   -1.346862    5.778977&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.334860   0.000000&lt;br /&gt;
     3  C    2.525314   1.507991   0.000000&lt;br /&gt;
     4  C    3.579487   2.541981   1.553042   0.000000&lt;br /&gt;
     5  C    4.871542   3.880661   2.541994   1.507989   0.000000&lt;br /&gt;
     6  C    5.997334   4.871542   3.579499   2.525313   1.334860&lt;br /&gt;
     7  H    1.088944   2.120590   2.794079   3.876427   4.965935&lt;br /&gt;
     8  H    1.087664   2.122066   3.517572   4.468464   5.844754&lt;br /&gt;
     9  H    2.098347   1.091678   2.208710   2.889741   4.284980&lt;br /&gt;
    10  H    3.249490   2.146977   1.098111   2.162141   2.755915&lt;br /&gt;
    11  H    2.651360   2.143278   1.096928   2.180455   2.772696&lt;br /&gt;
    12  H    3.963064   2.772677   2.180458   1.096927   2.143280&lt;br /&gt;
    13  H    3.478437   2.755899   2.162137   1.098111   2.146957&lt;br /&gt;
    14  H    5.060024   4.284963   2.889725   2.208705   1.091677&lt;br /&gt;
    15  H    6.923538   5.844739   4.468454   3.517570   2.122066&lt;br /&gt;
    16  H    6.198848   4.965922   3.876424   2.794078   2.120590&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.198860   0.000000&lt;br /&gt;
     8  H    6.923549   1.848609   0.000000&lt;br /&gt;
     9  H    5.060039   3.081174   2.446666   0.000000&lt;br /&gt;
    10  H    3.478456   3.577839   4.162596   2.540141   0.000000&lt;br /&gt;
    11  H    3.963084   2.466583   3.736176   3.093837   1.766402&lt;br /&gt;
    12  H    2.651366   4.505016   4.682637   2.683813   2.511229&lt;br /&gt;
    13  H    3.249477   3.674420   4.299078   3.200860   3.057687&lt;br /&gt;
    14  H    2.098348   4.914968   6.096825   4.903667   3.200828&lt;br /&gt;
    15  H    1.087664   7.024577   7.891066   6.096822   4.299057&lt;br /&gt;
    16  H    1.088943   6.576865   7.024577   4.914970   3.674420&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.082749   0.000000&lt;br /&gt;
    13  H    2.511207   1.766403   0.000000&lt;br /&gt;
    14  H    2.683800   3.093837   2.540133   0.000000&lt;br /&gt;
    15  H    4.682637   3.736183   4.162595   2.446667   0.000000&lt;br /&gt;
    16  H    4.505021   2.466592   3.577842   3.081174   1.848609&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.987207   -0.217542   -0.145809&lt;br /&gt;
      2          6           0        1.878462    0.455347    0.170034&lt;br /&gt;
      3          6           0        0.551555   -0.170165    0.519446&lt;br /&gt;
      4          6           0       -0.551552    0.170161   -0.519433&lt;br /&gt;
      5          6           0       -1.878467   -0.455345   -0.170046&lt;br /&gt;
      6          6           0       -2.987212    0.217546    0.145789&lt;br /&gt;
      7          1           0        3.014017   -1.306129   -0.153419&lt;br /&gt;
      8          1           0        3.913910    0.288711   -0.406465&lt;br /&gt;
      9          1           0        1.895046    1.546890    0.165678&lt;br /&gt;
     10          1           0        0.215891    0.187697    1.501848&lt;br /&gt;
     11          1           0        0.663349   -1.258944    0.592347&lt;br /&gt;
     12          1           0       -0.663338    1.258939   -0.592350&lt;br /&gt;
     13          1           0       -0.215892   -0.187719   -1.501829&lt;br /&gt;
     14          1           0       -1.895036   -1.546888   -0.165637&lt;br /&gt;
     15          1           0       -3.913898   -0.288705    0.406508&lt;br /&gt;
     16          1           0       -3.014008    1.306133    0.153437&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.8651445      1.3408102      1.3226950&lt;br /&gt;
 Standard basis: 6-31G(d) (6D, 7F)&lt;br /&gt;
 There are   110 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    131072 words long.&lt;br /&gt;
 Raffenetti 2 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
   110 basis functions,   208 primitive gaussians,   110 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.4188071261 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=   110 RedAO= T  NBF=   110&lt;br /&gt;
 NBsUse=   110 1.00D-06 NBFU=   110&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  402 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.61D-01 ExpMax= 3.05D+03 ExpMxC= 4.57D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  402 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=19759229.&lt;br /&gt;
 Integral accuracy reduced to 1.0D-05 until final iterations.&lt;br /&gt;
 Initial convergence to 1.0D-05 achieved.  Increase integral accuracy.&lt;br /&gt;
 SCF Done:  E(RB3LYP) =  -234.611612865     A.U. after   11 cycles&lt;br /&gt;
             Convg  =    0.1805D-08             -V/T =  2.0104&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.000518628    0.000073526    0.001001185&lt;br /&gt;
      2        6           0.002036462    0.000123846   -0.000046405&lt;br /&gt;
      3        6          -0.002348959   -0.002640396   -0.000667245&lt;br /&gt;
      4        6           0.002350422    0.002635816    0.000666662&lt;br /&gt;
      5        6          -0.002036869   -0.000117098    0.000047200&lt;br /&gt;
      6        6           0.000519200   -0.000066935   -0.001000862&lt;br /&gt;
      7        1          -0.000068998   -0.000057162    0.000444850&lt;br /&gt;
      8        1           0.000274911    0.000162782    0.000530174&lt;br /&gt;
      9        1          -0.000373354   -0.000180001   -0.000644339&lt;br /&gt;
     10        1           0.000310955    0.000760008    0.000003504&lt;br /&gt;
     11        1           0.000517668    0.000323990    0.000015726&lt;br /&gt;
     12        1          -0.000517597   -0.000323831   -0.000015491&lt;br /&gt;
     13        1          -0.000313041   -0.000760026   -0.000004432&lt;br /&gt;
     14        1           0.000374004    0.000177261    0.000644347&lt;br /&gt;
     15        1          -0.000274976   -0.000165830   -0.000530158&lt;br /&gt;
     16        1           0.000068800    0.000054051   -0.000444716&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.002640396 RMS     0.000926252&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.001971762 RMS     0.000581251&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   2 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2&lt;br /&gt;
 DE= -2.06D-03 DEPred=-2.16D-03 R= 9.56D-01&lt;br /&gt;
 SS=  1.41D+00  RLast= 1.12D-01 DXNew= 5.0454D-01 3.3602D-01&lt;br /&gt;
 Trust test= 9.56D-01 RLast= 1.12D-01 DXMaxT set to 3.36D-01&lt;br /&gt;
 Use linear search instead of GDIIS.&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00646   0.00649   0.01713   0.01714&lt;br /&gt;
     Eigenvalues ---    0.03198   0.03198   0.03198   0.03200   0.04089&lt;br /&gt;
     Eigenvalues ---    0.04090   0.05360   0.05418   0.09241   0.09252&lt;br /&gt;
     Eigenvalues ---    0.12787   0.12804   0.15911   0.15998   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16009   0.21836   0.21956&lt;br /&gt;
     Eigenvalues ---    0.22001   0.22006   0.27292   0.30870   0.31465&lt;br /&gt;
     Eigenvalues ---    0.34860   0.35332   0.35394   0.35427   0.36367&lt;br /&gt;
     Eigenvalues ---    0.36372   0.36648   0.36699   0.36807   0.37730&lt;br /&gt;
     Eigenvalues ---    0.62900   0.671021000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-9.80999964D-05 EMin= 2.30000000D-03&lt;br /&gt;
 Quartic linear search produced a step of -0.01807.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00870046 RMS(Int)=  0.00003322&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00004524 RMS(Int)=  0.00000277&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000277&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.52252  -0.00197  -0.00064  -0.00172  -0.00236   2.52016&lt;br /&gt;
    R2        2.05781  -0.00030  -0.00049   0.00024  -0.00025   2.05756&lt;br /&gt;
    R3        2.05539  -0.00051  -0.00049  -0.00034  -0.00083   2.05456&lt;br /&gt;
    R4        2.84969  -0.00184   0.00003  -0.00579  -0.00576   2.84393&lt;br /&gt;
    R5        2.06297   0.00001  -0.00050   0.00109   0.00059   2.06356&lt;br /&gt;
    R6        2.93482  -0.00154   0.00000  -0.00553  -0.00553   2.92929&lt;br /&gt;
    R7        2.07513   0.00058  -0.00043   0.00252   0.00210   2.07722&lt;br /&gt;
    R8        2.07289   0.00045  -0.00042   0.00212   0.00170   2.07459&lt;br /&gt;
    R9        2.84969  -0.00184   0.00003  -0.00579  -0.00576   2.84393&lt;br /&gt;
   R10        2.07289   0.00045  -0.00042   0.00212   0.00170   2.07459&lt;br /&gt;
   R11        2.07513   0.00058  -0.00043   0.00253   0.00210   2.07723&lt;br /&gt;
   R12        2.52252  -0.00197  -0.00064  -0.00172  -0.00236   2.52016&lt;br /&gt;
   R13        2.06297   0.00001  -0.00050   0.00109   0.00059   2.06356&lt;br /&gt;
   R14        2.05539  -0.00051  -0.00049  -0.00034  -0.00083   2.05456&lt;br /&gt;
   R15        2.05780  -0.00030  -0.00049   0.00024  -0.00025   2.05756&lt;br /&gt;
    A1        2.12472  -0.00026   0.00003  -0.00164  -0.00161   2.12311&lt;br /&gt;
    A2        2.12912  -0.00018  -0.00004  -0.00105  -0.00109   2.12803&lt;br /&gt;
    A3        2.02934   0.00044   0.00001   0.00268   0.00269   2.03203&lt;br /&gt;
    A4        2.18535  -0.00001  -0.00013   0.00022   0.00010   2.18545&lt;br /&gt;
    A5        2.08342  -0.00076   0.00010  -0.00486  -0.00477   2.07865&lt;br /&gt;
    A6        2.01422   0.00077   0.00003   0.00469   0.00472   2.01895&lt;br /&gt;
    A7        1.95962   0.00037  -0.00029   0.00341   0.00312   1.96274&lt;br /&gt;
    A8        1.91886  -0.00021   0.00001  -0.00114  -0.00114   1.91773&lt;br /&gt;
    A9        1.91499   0.00002   0.00008   0.00115   0.00123   1.91622&lt;br /&gt;
   A10        1.88590   0.00013   0.00009   0.00122   0.00131   1.88721&lt;br /&gt;
   A11        1.91172  -0.00009  -0.00004   0.00038   0.00033   1.91205&lt;br /&gt;
   A12        1.87042  -0.00024   0.00017  -0.00545  -0.00527   1.86515&lt;br /&gt;
   A13        1.95964   0.00036  -0.00029   0.00340   0.00310   1.96274&lt;br /&gt;
   A14        1.91172  -0.00009  -0.00004   0.00037   0.00032   1.91204&lt;br /&gt;
   A15        1.88590   0.00013   0.00009   0.00122   0.00131   1.88720&lt;br /&gt;
   A16        1.91500   0.00002   0.00008   0.00115   0.00122   1.91622&lt;br /&gt;
   A17        1.91884  -0.00021   0.00001  -0.00112  -0.00111   1.91773&lt;br /&gt;
   A18        1.87042  -0.00024   0.00017  -0.00545  -0.00527   1.86515&lt;br /&gt;
   A19        2.18535  -0.00001  -0.00013   0.00023   0.00010   2.18545&lt;br /&gt;
   A20        2.01422   0.00077   0.00003   0.00470   0.00472   2.01894&lt;br /&gt;
   A21        2.08342  -0.00076   0.00010  -0.00486  -0.00477   2.07865&lt;br /&gt;
   A22        2.12912  -0.00018  -0.00004  -0.00105  -0.00109   2.12803&lt;br /&gt;
   A23        2.12472  -0.00026   0.00003  -0.00164  -0.00161   2.12311&lt;br /&gt;
   A24        2.02934   0.00044   0.00001   0.00268   0.00269   2.03203&lt;br /&gt;
    D1       -0.02234   0.00008   0.00006   0.00301   0.00307  -0.01927&lt;br /&gt;
    D2        3.14119   0.00001   0.00001  -0.00028  -0.00027   3.14093&lt;br /&gt;
    D3        3.12276   0.00017   0.00005   0.00576   0.00580   3.12856&lt;br /&gt;
    D4        0.00310   0.00010   0.00000   0.00246   0.00247   0.00557&lt;br /&gt;
    D5       -2.01305  -0.00009   0.00021  -0.01725  -0.01705  -2.03010&lt;br /&gt;
    D6        2.17004  -0.00035   0.00028  -0.02026  -0.01999   2.15005&lt;br /&gt;
    D7        0.11716   0.00006   0.00001  -0.01364  -0.01363   0.10354&lt;br /&gt;
    D8        1.10738  -0.00004   0.00026  -0.01418  -0.01392   1.09345&lt;br /&gt;
    D9       -0.99272  -0.00030   0.00033  -0.01719  -0.01686  -1.00958&lt;br /&gt;
   D10       -3.04559   0.00011   0.00006  -0.01056  -0.01050  -3.05609&lt;br /&gt;
   D11        3.14159   0.00000   0.00000   0.00001   0.00001  -3.14159&lt;br /&gt;
   D12       -1.00950   0.00022  -0.00012   0.00404   0.00391  -1.00559&lt;br /&gt;
   D13        1.02253  -0.00005   0.00011  -0.00157  -0.00146   1.02107&lt;br /&gt;
   D14       -1.02252   0.00005  -0.00011   0.00156   0.00146  -1.02106&lt;br /&gt;
   D15        1.10958   0.00027  -0.00024   0.00559   0.00536   1.11494&lt;br /&gt;
   D16       -3.14157   0.00000   0.00000  -0.00002  -0.00002  -3.14159&lt;br /&gt;
   D17        1.00951  -0.00022   0.00012  -0.00404  -0.00391   1.00560&lt;br /&gt;
   D18       -3.14158   0.00000   0.00000  -0.00001  -0.00001  -3.14159&lt;br /&gt;
   D19       -1.10955  -0.00027   0.00024  -0.00562  -0.00538  -1.11493&lt;br /&gt;
   D20        2.01305   0.00010  -0.00020   0.01728   0.01708   2.03013&lt;br /&gt;
   D21       -1.10731   0.00004  -0.00026   0.01411   0.01385  -1.09346&lt;br /&gt;
   D22       -0.11719  -0.00006  -0.00001   0.01368   0.01368  -0.10351&lt;br /&gt;
   D23        3.04564  -0.00011  -0.00006   0.01051   0.01044   3.05608&lt;br /&gt;
   D24       -2.17005   0.00035  -0.00027   0.02030   0.02003  -2.15003&lt;br /&gt;
   D25        0.99277   0.00030  -0.00033   0.01713   0.01679   1.00957&lt;br /&gt;
   D26       -3.12266  -0.00017  -0.00006  -0.00587  -0.00593  -3.12859&lt;br /&gt;
   D27        0.02231  -0.00008  -0.00006  -0.00299  -0.00305   0.01926&lt;br /&gt;
   D28       -0.00308  -0.00010   0.00000  -0.00248  -0.00249  -0.00557&lt;br /&gt;
   D29       -3.14130  -0.00001   0.00000   0.00040   0.00040  -3.14090&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.001972     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000581     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.023812     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.008701     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-5.059026D-05&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -0.010854    0.012006   -0.027494&lt;br /&gt;
      2          6           0       -0.001791   -0.005075    1.305978&lt;br /&gt;
      3          6           0        1.233561   -0.010040    2.165470&lt;br /&gt;
      4          6           0        1.363217   -1.304445    3.008415&lt;br /&gt;
      5          6           0        2.598565   -1.309410    3.867915&lt;br /&gt;
      6          6           0        2.607622   -1.326519    5.201387&lt;br /&gt;
      7          1           0        0.911893    0.041815   -0.604695&lt;br /&gt;
      8          1           0       -0.937345    0.002728   -0.596346&lt;br /&gt;
      9          1           0       -0.952064   -0.034394    1.843158&lt;br /&gt;
     10          1           0        1.212941    0.846189    2.854477&lt;br /&gt;
     11          1           0        2.124946    0.109199    1.535834&lt;br /&gt;
     12          1           0        0.471830   -1.423685    3.638046&lt;br /&gt;
     13          1           0        1.383839   -2.160673    2.319405&lt;br /&gt;
     14          1           0        3.548840   -1.280098    3.330739&lt;br /&gt;
     15          1           0        3.534111   -1.317272    5.770242&lt;br /&gt;
     16          1           0        1.684873   -1.356347    5.778582&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.333612   0.000000&lt;br /&gt;
     3  C    2.521537   1.504941   0.000000&lt;br /&gt;
     4  C    3.582996   2.539666   1.550113   0.000000&lt;br /&gt;
     5  C    4.871285   3.876424   2.539669   1.504941   0.000000&lt;br /&gt;
     6  C    5.999106   4.871290   3.583009   2.521539   1.333612&lt;br /&gt;
     7  H    1.088812   2.118416   2.789260   3.882096   4.967384&lt;br /&gt;
     8  H    1.087227   2.119942   3.512922   4.471642   5.844141&lt;br /&gt;
     9  H    2.094604   1.091989   2.209397   2.886413   4.281620&lt;br /&gt;
    10  H    3.240262   2.144312   1.099220   2.161367   2.755652&lt;br /&gt;
    11  H    2.648601   2.142173   1.097828   2.178787   2.770445&lt;br /&gt;
    12  H    3.966154   2.770436   2.178786   1.097827   2.142172&lt;br /&gt;
    13  H    3.489075   2.755651   2.161366   1.099221   2.144315&lt;br /&gt;
    14  H    5.061490   4.281626   2.886419   2.209396   1.091989&lt;br /&gt;
    15  H    6.924414   5.844153   4.471662   3.512924   2.119943&lt;br /&gt;
    16  H    6.201484   4.967390   3.882114   2.789262   2.118416&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.201485   0.000000&lt;br /&gt;
     8  H    6.924406   1.849670   0.000000&lt;br /&gt;
     9  H    5.061488   3.077682   2.439830   0.000000&lt;br /&gt;
    10  H    3.489095   3.564199   4.152509   2.546653   0.000000&lt;br /&gt;
    11  H    3.966174   2.461281   3.732982   3.095651   1.764576&lt;br /&gt;
    12  H    2.648601   4.510232   4.685136   2.679408   2.513077&lt;br /&gt;
    13  H    3.240258   3.691077   4.309270   3.194420   3.058877&lt;br /&gt;
    14  H    2.094605   4.918189   6.098646   4.901307   3.194424&lt;br /&gt;
    15  H    1.087227   7.025878   7.891118   6.098650   4.309301&lt;br /&gt;
    16  H    1.088812   6.580166   7.025868   4.918187   3.691108&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.082502   0.000000&lt;br /&gt;
    13  H    2.513074   1.764575   0.000000&lt;br /&gt;
    14  H    2.679421   3.095649   2.546651   0.000000&lt;br /&gt;
    15  H    4.685165   3.732981   4.152501   2.439831   0.000000&lt;br /&gt;
    16  H    4.510255   2.461281   3.564192   3.077682   1.849670&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.988310   -0.213273   -0.147739&lt;br /&gt;
      2          6           0        1.877126    0.450560    0.173383&lt;br /&gt;
      3          6           0        0.554233   -0.183116    0.509918&lt;br /&gt;
      4          6           0       -0.554229    0.183108   -0.509907&lt;br /&gt;
      5          6           0       -1.877126   -0.450559   -0.173370&lt;br /&gt;
      6          6           0       -2.988314    0.213280    0.147724&lt;br /&gt;
      7          1           0        3.016840   -1.301443   -0.171905&lt;br /&gt;
      8          1           0        3.914354    0.300629   -0.393522&lt;br /&gt;
      9          1           0        1.895422    1.542333    0.185147&lt;br /&gt;
     10          1           0        0.224919    0.145635    1.505789&lt;br /&gt;
     11          1           0        0.665635   -1.274328    0.555421&lt;br /&gt;
     12          1           0       -0.665626    1.274321   -0.555412&lt;br /&gt;
     13          1           0       -0.224913   -0.145645   -1.505777&lt;br /&gt;
     14          1           0       -1.895428   -1.542332   -0.185141&lt;br /&gt;
     15          1           0       -3.914368   -0.300617    0.393478&lt;br /&gt;
     16          1           0       -3.016844    1.301450    0.171870&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     16.0042326      1.3410930      1.3222279&lt;br /&gt;
 Standard basis: 6-31G(d) (6D, 7F)&lt;br /&gt;
 There are   110 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    131072 words long.&lt;br /&gt;
 Raffenetti 2 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
   110 basis functions,   208 primitive gaussians,   110 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.5711648339 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=   110 RedAO= T  NBF=   110&lt;br /&gt;
 NBsUse=   110 1.00D-06 NBFU=   110&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  402 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.61D-01 ExpMax= 3.05D+03 ExpMxC= 4.57D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  402 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=19759229.&lt;br /&gt;
 Integral accuracy reduced to 1.0D-05 until final iterations.&lt;br /&gt;
 Initial convergence to 1.0D-05 achieved.  Increase integral accuracy.&lt;br /&gt;
 SCF Done:  E(RB3LYP) =  -234.611681559     A.U. after   10 cycles&lt;br /&gt;
             Convg  =    0.5054D-08             -V/T =  2.0103&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.000170335    0.000187589   -0.000169888&lt;br /&gt;
      2        6           0.000411565    0.000111677    0.000129450&lt;br /&gt;
      3        6          -0.000640477   -0.000912114   -0.000034900&lt;br /&gt;
      4        6           0.000640192    0.000913007    0.000035094&lt;br /&gt;
      5        6          -0.000411263   -0.000113931   -0.000130049&lt;br /&gt;
      6        6           0.000170132   -0.000188810    0.000169595&lt;br /&gt;
      7        1          -0.000133723   -0.000067109    0.000144618&lt;br /&gt;
      8        1           0.000170201    0.000038133    0.000190022&lt;br /&gt;
      9        1           0.000037432   -0.000137681   -0.000208237&lt;br /&gt;
     10        1           0.000162279    0.000199162   -0.000088108&lt;br /&gt;
     11        1           0.000004823    0.000088118    0.000044419&lt;br /&gt;
     12        1          -0.000005062   -0.000088117   -0.000044303&lt;br /&gt;
     13        1          -0.000161873   -0.000198981    0.000088553&lt;br /&gt;
     14        1          -0.000037321    0.000138588    0.000208380&lt;br /&gt;
     15        1          -0.000170249   -0.000037267   -0.000190099&lt;br /&gt;
     16        1           0.000133680    0.000067737   -0.000144547&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000913007 RMS     0.000273346&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000415341 RMS     0.000141261&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   3 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3&lt;br /&gt;
 DE= -6.87D-05 DEPred=-5.06D-05 R= 1.36D+00&lt;br /&gt;
 SS=  1.41D+00  RLast= 5.87D-02 DXNew= 5.6511D-01 1.7597D-01&lt;br /&gt;
 Trust test= 1.36D+00 RLast= 5.87D-02 DXMaxT set to 3.36D-01&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00474   0.00649   0.01704   0.01707&lt;br /&gt;
     Eigenvalues ---    0.03149   0.03198   0.03198   0.03220   0.04059&lt;br /&gt;
     Eigenvalues ---    0.04060   0.04981   0.05406   0.09165   0.09291&lt;br /&gt;
     Eigenvalues ---    0.12813   0.12885   0.15542   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16031   0.21281   0.21948&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22039   0.27121   0.31465   0.31919&lt;br /&gt;
     Eigenvalues ---    0.35069   0.35332   0.35427   0.35486   0.36367&lt;br /&gt;
     Eigenvalues ---    0.36431   0.36648   0.36713   0.36807   0.37335&lt;br /&gt;
     Eigenvalues ---    0.62900   0.681691000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     3    2&lt;br /&gt;
 RFO step:  Lambda=-4.70495927D-06.&lt;br /&gt;
 DIIS coeffs:      1.50434     -0.50434&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.01142207 RMS(Int)=  0.00004642&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00006541 RMS(Int)=  0.00000287&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000287&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.52016  -0.00016  -0.00119   0.00085  -0.00034   2.51982&lt;br /&gt;
    R2        2.05756  -0.00019  -0.00013  -0.00040  -0.00052   2.05703&lt;br /&gt;
    R3        2.05456  -0.00024  -0.00042  -0.00040  -0.00082   2.05374&lt;br /&gt;
    R4        2.84393  -0.00030  -0.00291   0.00055  -0.00236   2.84157&lt;br /&gt;
    R5        2.06356  -0.00013   0.00030  -0.00043  -0.00013   2.06343&lt;br /&gt;
    R6        2.92929  -0.00042  -0.00279  -0.00036  -0.00315   2.92614&lt;br /&gt;
    R7        2.07722   0.00010   0.00106  -0.00005   0.00101   2.07824&lt;br /&gt;
    R8        2.07459  -0.00001   0.00086  -0.00039   0.00047   2.07506&lt;br /&gt;
    R9        2.84393  -0.00030  -0.00291   0.00054  -0.00236   2.84157&lt;br /&gt;
   R10        2.07459  -0.00001   0.00086  -0.00039   0.00047   2.07506&lt;br /&gt;
   R11        2.07723   0.00010   0.00106  -0.00005   0.00101   2.07824&lt;br /&gt;
   R12        2.52016  -0.00016  -0.00119   0.00085  -0.00034   2.51982&lt;br /&gt;
   R13        2.06356  -0.00013   0.00030  -0.00043  -0.00013   2.06343&lt;br /&gt;
   R14        2.05456  -0.00024  -0.00042  -0.00040  -0.00082   2.05374&lt;br /&gt;
   R15        2.05756  -0.00019  -0.00013  -0.00040  -0.00052   2.05703&lt;br /&gt;
    A1        2.12311  -0.00002  -0.00081   0.00035  -0.00046   2.12264&lt;br /&gt;
    A2        2.12803  -0.00006  -0.00055  -0.00019  -0.00074   2.12729&lt;br /&gt;
    A3        2.03203   0.00008   0.00136  -0.00015   0.00121   2.03324&lt;br /&gt;
    A4        2.18545   0.00015   0.00005   0.00105   0.00110   2.18654&lt;br /&gt;
    A5        2.07865  -0.00024  -0.00240  -0.00047  -0.00287   2.07578&lt;br /&gt;
    A6        2.01895   0.00010   0.00238  -0.00058   0.00180   2.02075&lt;br /&gt;
    A7        1.96274   0.00034   0.00157   0.00217   0.00374   1.96648&lt;br /&gt;
    A8        1.91773  -0.00010  -0.00057  -0.00008  -0.00066   1.91707&lt;br /&gt;
    A9        1.91622  -0.00012   0.00062  -0.00112  -0.00051   1.91571&lt;br /&gt;
   A10        1.88721  -0.00004   0.00066  -0.00019   0.00047   1.88768&lt;br /&gt;
   A11        1.91205  -0.00003   0.00017   0.00043   0.00059   1.91263&lt;br /&gt;
   A12        1.86515  -0.00006  -0.00266  -0.00138  -0.00404   1.86111&lt;br /&gt;
   A13        1.96274   0.00034   0.00156   0.00218   0.00374   1.96648&lt;br /&gt;
   A14        1.91204  -0.00003   0.00016   0.00043   0.00059   1.91263&lt;br /&gt;
   A15        1.88720  -0.00004   0.00066  -0.00019   0.00047   1.88768&lt;br /&gt;
   A16        1.91622  -0.00012   0.00062  -0.00111  -0.00050   1.91571&lt;br /&gt;
   A17        1.91773  -0.00010  -0.00056  -0.00010  -0.00066   1.91707&lt;br /&gt;
   A18        1.86515  -0.00006  -0.00266  -0.00138  -0.00404   1.86111&lt;br /&gt;
   A19        2.18545   0.00014   0.00005   0.00104   0.00109   2.18654&lt;br /&gt;
   A20        2.01894   0.00010   0.00238  -0.00057   0.00181   2.02075&lt;br /&gt;
   A21        2.07865  -0.00024  -0.00240  -0.00047  -0.00287   2.07578&lt;br /&gt;
   A22        2.12803  -0.00006  -0.00055  -0.00019  -0.00074   2.12729&lt;br /&gt;
   A23        2.12311  -0.00002  -0.00081   0.00035  -0.00046   2.12264&lt;br /&gt;
   A24        2.03203   0.00008   0.00136  -0.00015   0.00121   2.03324&lt;br /&gt;
    D1       -0.01927   0.00006   0.00155   0.00223   0.00378  -0.01549&lt;br /&gt;
    D2        3.14093   0.00005  -0.00013   0.00192   0.00179  -3.14047&lt;br /&gt;
    D3        3.12856   0.00004   0.00293  -0.00001   0.00291   3.13147&lt;br /&gt;
    D4        0.00557   0.00002   0.00124  -0.00032   0.00093   0.00649&lt;br /&gt;
    D5       -2.03010  -0.00009  -0.00860  -0.01284  -0.02145  -2.05155&lt;br /&gt;
    D6        2.15005  -0.00019  -0.01008  -0.01399  -0.02407   2.12598&lt;br /&gt;
    D7        0.10354   0.00002  -0.00687  -0.01160  -0.01848   0.08506&lt;br /&gt;
    D8        1.09345  -0.00007  -0.00702  -0.01254  -0.01956   1.07389&lt;br /&gt;
    D9       -1.00958  -0.00018  -0.00850  -0.01369  -0.02219  -1.03176&lt;br /&gt;
   D10       -3.05609   0.00004  -0.00529  -0.01130  -0.01659  -3.07268&lt;br /&gt;
   D11       -3.14159   0.00000   0.00001  -0.00002  -0.00001   3.14159&lt;br /&gt;
   D12       -1.00559   0.00005   0.00197   0.00036   0.00233  -1.00326&lt;br /&gt;
   D13        1.02107  -0.00006  -0.00074  -0.00116  -0.00190   1.01917&lt;br /&gt;
   D14       -1.02106   0.00006   0.00073   0.00114   0.00188  -1.01918&lt;br /&gt;
   D15        1.11494   0.00011   0.00270   0.00151   0.00422   1.11916&lt;br /&gt;
   D16       -3.14159   0.00000  -0.00001   0.00000  -0.00001   3.14159&lt;br /&gt;
   D17        1.00560  -0.00005  -0.00197  -0.00038  -0.00235   1.00325&lt;br /&gt;
   D18       -3.14159   0.00000  -0.00001   0.00000  -0.00001   3.14159&lt;br /&gt;
   D19       -1.11493  -0.00011  -0.00272  -0.00152  -0.00424  -1.11917&lt;br /&gt;
   D20        2.03013   0.00009   0.00861   0.01280   0.02142   2.05155&lt;br /&gt;
   D21       -1.09346   0.00007   0.00698   0.01260   0.01959  -1.07388&lt;br /&gt;
   D22       -0.10351  -0.00002   0.00690   0.01155   0.01845  -0.08506&lt;br /&gt;
   D23        3.05608  -0.00004   0.00527   0.01135   0.01662   3.07270&lt;br /&gt;
   D24       -2.15003   0.00019   0.01010   0.01394   0.02405  -2.12598&lt;br /&gt;
   D25        1.00957   0.00018   0.00847   0.01375   0.02221   1.03178&lt;br /&gt;
   D26       -3.12859  -0.00004  -0.00299   0.00013  -0.00286  -3.13145&lt;br /&gt;
   D27        0.01926  -0.00006  -0.00154  -0.00223  -0.00377   0.01549&lt;br /&gt;
   D28       -0.00557  -0.00002  -0.00125   0.00033  -0.00092  -0.00649&lt;br /&gt;
   D29       -3.14090  -0.00005   0.00020  -0.00203  -0.00183   3.14045&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000415     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000141     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.029918     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.011414     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.656979D-05&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -0.012703    0.017797   -0.031525&lt;br /&gt;
      2          6           0       -0.000960   -0.011190    1.301541&lt;br /&gt;
      3          6           0        1.234079   -0.015063    2.159302&lt;br /&gt;
      4          6           0        1.362690   -1.299442    3.014590&lt;br /&gt;
      5          6           0        2.597733   -1.303320    3.872346&lt;br /&gt;
      6          6           0        2.609480   -1.332303    5.205412&lt;br /&gt;
      7          1           0        0.908835    0.055887   -0.609649&lt;br /&gt;
      8          1           0       -0.940307    0.009655   -0.597745&lt;br /&gt;
      9          1           0       -0.951506   -0.050226    1.837476&lt;br /&gt;
     10          1           0        1.219089    0.849280    2.839117&lt;br /&gt;
     11          1           0        2.125204    0.097288    1.527603&lt;br /&gt;
     12          1           0        0.471567   -1.411791    3.646293&lt;br /&gt;
     13          1           0        1.377676   -2.163786    2.334777&lt;br /&gt;
     14          1           0        3.548278   -1.264272    3.336409&lt;br /&gt;
     15          1           0        3.537085   -1.324147    5.771629&lt;br /&gt;
     16          1           0        1.687944   -1.370389    5.783539&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.333433   0.000000&lt;br /&gt;
     3  C    2.520966   1.503692   0.000000&lt;br /&gt;
     4  C    3.592443   2.540408   1.548447   0.000000&lt;br /&gt;
     5  C    4.878518   3.877092   2.540408   1.503692   0.000000&lt;br /&gt;
     6  C    6.010335   4.878519   3.592441   2.520965   1.333433&lt;br /&gt;
     7  H    1.088535   2.117752   2.788890   3.895897   4.978765&lt;br /&gt;
     8  H    1.086793   2.118985   3.511392   4.479565   5.850072&lt;br /&gt;
     9  H    2.092641   1.091920   2.209432   2.881257   4.278789&lt;br /&gt;
    10  H    3.232532   2.143144   1.099755   2.160652   2.757155&lt;br /&gt;
    11  H    2.647234   2.140898   1.098076   2.177938   2.771787&lt;br /&gt;
    12  H    3.975498   2.771791   2.177938   1.098076   2.140899&lt;br /&gt;
    13  H    3.505972   2.757151   2.160653   1.099755   2.143142&lt;br /&gt;
    14  H    5.066287   4.278783   2.881252   2.209433   1.091920&lt;br /&gt;
    15  H    6.933860   5.850069   4.479558   3.511391   2.118984&lt;br /&gt;
    16  H    6.215644   4.978768   3.895894   2.788889   2.117752&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.215642   0.000000&lt;br /&gt;
     8  H    6.933864   1.849757   0.000000&lt;br /&gt;
     9  H    5.066294   3.075801   2.435983   0.000000&lt;br /&gt;
    10  H    3.505972   3.552424   4.144874   2.554189   0.000000&lt;br /&gt;
    11  H    3.975491   2.459495   3.731239   3.095792   1.762556&lt;br /&gt;
    12  H    2.647233   4.523088   4.693161   2.674101   2.514511&lt;br /&gt;
    13  H    3.232531   3.717042   4.323954   3.184263   3.059097&lt;br /&gt;
    14  H    2.092640   4.927560   6.103101   4.895790   3.184261&lt;br /&gt;
    15  H    1.086793   7.037962   7.899050   6.103105   4.323947&lt;br /&gt;
    16  H    1.088536   6.596524   7.037969   4.927570   3.717039&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.082318   0.000000&lt;br /&gt;
    13  H    2.514514   1.762556   0.000000&lt;br /&gt;
    14  H    2.674090   3.095794   2.554193   0.000000&lt;br /&gt;
    15  H    4.693148   3.731238   4.144876   2.435982   0.000000&lt;br /&gt;
    16  H    4.523081   2.459494   3.552423   3.075800   1.849757&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -2.994257    0.207756   -0.149321&lt;br /&gt;
      2          6           0       -1.878408   -0.445008    0.177519&lt;br /&gt;
      3          6           0       -0.557979    0.198805    0.498554&lt;br /&gt;
      4          6           0        0.557980   -0.198810   -0.498554&lt;br /&gt;
      5          6           0        1.878407    0.445009   -0.177523&lt;br /&gt;
      6          6           0        2.994257   -0.207751    0.149321&lt;br /&gt;
      7          1           0       -3.027258    1.294886   -0.193672&lt;br /&gt;
      8          1           0       -3.918512   -0.315212   -0.380355&lt;br /&gt;
      9          1           0       -1.894367   -1.536400    0.207484&lt;br /&gt;
     10          1           0       -0.235596   -0.094152    1.508360&lt;br /&gt;
     11          1           0       -0.670264    1.291075    0.508953&lt;br /&gt;
     12          1           0        0.670268   -1.291080   -0.508950&lt;br /&gt;
     13          1           0        0.235596    0.094143   -1.508360&lt;br /&gt;
     14          1           0        1.894361    1.536401   -0.207477&lt;br /&gt;
     15          1           0        3.918506    0.315220    0.380368&lt;br /&gt;
     16          1           0        3.027260   -1.294882    0.193676&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     16.1687654      1.3376152      1.3179206&lt;br /&gt;
 Standard basis: 6-31G(d) (6D, 7F)&lt;br /&gt;
 There are   110 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    131072 words long.&lt;br /&gt;
 Raffenetti 2 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
   110 basis functions,   208 primitive gaussians,   110 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.5515818723 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=   110 RedAO= T  NBF=   110&lt;br /&gt;
 NBsUse=   110 1.00D-06 NBFU=   110&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  402 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.61D-01 ExpMax= 3.05D+03 ExpMxC= 4.57D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  402 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=19759229.&lt;br /&gt;
 Integral accuracy reduced to 1.0D-05 until final iterations.&lt;br /&gt;
 Initial convergence to 1.0D-05 achieved.  Increase integral accuracy.&lt;br /&gt;
 SCF Done:  E(RB3LYP) =  -234.611703548     A.U. after   14 cycles&lt;br /&gt;
             Convg  =    0.2288D-08             -V/T =  2.0103&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6           0.000125103    0.000081228   -0.000091389&lt;br /&gt;
      2        6          -0.000330118   -0.000088591   -0.000066630&lt;br /&gt;
      3        6           0.000390289    0.000162207    0.000222658&lt;br /&gt;
      4        6          -0.000390154   -0.000162839   -0.000222668&lt;br /&gt;
      5        6           0.000330013    0.000089978    0.000066765&lt;br /&gt;
      6        6          -0.000125127   -0.000080472    0.000091681&lt;br /&gt;
      7        1          -0.000028873   -0.000016961   -0.000047512&lt;br /&gt;
      8        1          -0.000016763    0.000031981   -0.000026243&lt;br /&gt;
      9        1           0.000081918   -0.000043952    0.000076124&lt;br /&gt;
     10        1          -0.000033329   -0.000030590   -0.000070696&lt;br /&gt;
     11        1          -0.000078846   -0.000074417   -0.000005203&lt;br /&gt;
     12        1           0.000079015    0.000074382    0.000005120&lt;br /&gt;
     13        1           0.000033145    0.000030529    0.000070428&lt;br /&gt;
     14        1          -0.000082067    0.000043404   -0.000076210&lt;br /&gt;
     15        1           0.000016831   -0.000032492    0.000026318&lt;br /&gt;
     16        1           0.000028964    0.000016604    0.000047459&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000390289 RMS     0.000132102&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000233638 RMS     0.000065082&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   4 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3    4&lt;br /&gt;
 DE= -2.20D-05 DEPred=-1.66D-05 R= 1.33D+00&lt;br /&gt;
 SS=  1.41D+00  RLast= 7.27D-02 DXNew= 5.6511D-01 2.1815D-01&lt;br /&gt;
 Trust test= 1.33D+00 RLast= 7.27D-02 DXMaxT set to 3.36D-01&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00320   0.00649   0.01694   0.01704&lt;br /&gt;
     Eigenvalues ---    0.03131   0.03198   0.03198   0.03222   0.04028&lt;br /&gt;
     Eigenvalues ---    0.04032   0.05394   0.05427   0.09180   0.09334&lt;br /&gt;
     Eigenvalues ---    0.12841   0.12915   0.15939   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16003   0.16903   0.21800   0.21943&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22049   0.27157   0.31465   0.33717&lt;br /&gt;
     Eigenvalues ---    0.35303   0.35332   0.35427   0.35861   0.36367&lt;br /&gt;
     Eigenvalues ---    0.36533   0.36648   0.36758   0.36807   0.37487&lt;br /&gt;
     Eigenvalues ---    0.62900   0.696771000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     4    3    2&lt;br /&gt;
 RFO step:  Lambda=-7.33058009D-07.&lt;br /&gt;
 DIIS coeffs:      1.37386     -0.50015      0.12629&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00630138 RMS(Int)=  0.00001328&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00001955 RMS(Int)=  0.00000050&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000050&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.51982   0.00017   0.00017  -0.00004   0.00013   2.51996&lt;br /&gt;
    R2        2.05703   0.00000  -0.00016   0.00012  -0.00004   2.05699&lt;br /&gt;
    R3        2.05374   0.00003  -0.00020   0.00018  -0.00002   2.05372&lt;br /&gt;
    R4        2.84157   0.00023  -0.00015   0.00036   0.00020   2.84177&lt;br /&gt;
    R5        2.06343  -0.00003  -0.00012   0.00009  -0.00003   2.06339&lt;br /&gt;
    R6        2.92614   0.00000  -0.00048  -0.00036  -0.00084   2.92530&lt;br /&gt;
    R7        2.07824  -0.00007   0.00011  -0.00004   0.00007   2.07831&lt;br /&gt;
    R8        2.07506  -0.00007  -0.00004   0.00001  -0.00003   2.07504&lt;br /&gt;
    R9        2.84157   0.00023  -0.00016   0.00036   0.00020   2.84177&lt;br /&gt;
   R10        2.07506  -0.00007  -0.00004   0.00001  -0.00003   2.07504&lt;br /&gt;
   R11        2.07824  -0.00007   0.00011  -0.00004   0.00008   2.07831&lt;br /&gt;
   R12        2.51982   0.00017   0.00017  -0.00004   0.00013   2.51996&lt;br /&gt;
   R13        2.06343  -0.00003  -0.00012   0.00009  -0.00004   2.06339&lt;br /&gt;
   R14        2.05374   0.00003  -0.00020   0.00018  -0.00002   2.05372&lt;br /&gt;
   R15        2.05703   0.00000  -0.00016   0.00012  -0.00004   2.05699&lt;br /&gt;
    A1        2.12264   0.00007   0.00003   0.00032   0.00036   2.12300&lt;br /&gt;
    A2        2.12729  -0.00002  -0.00014  -0.00019  -0.00033   2.12696&lt;br /&gt;
    A3        2.03324  -0.00005   0.00011  -0.00014  -0.00003   2.03321&lt;br /&gt;
    A4        2.18654   0.00000   0.00040  -0.00029   0.00011   2.18665&lt;br /&gt;
    A5        2.07578   0.00011  -0.00047   0.00066   0.00019   2.07597&lt;br /&gt;
    A6        2.02075  -0.00011   0.00008  -0.00035  -0.00027   2.02048&lt;br /&gt;
    A7        1.96648  -0.00004   0.00100  -0.00077   0.00024   1.96671&lt;br /&gt;
    A8        1.91707  -0.00001  -0.00010  -0.00046  -0.00056   1.91651&lt;br /&gt;
    A9        1.91571  -0.00001  -0.00034   0.00008  -0.00026   1.91545&lt;br /&gt;
   A10        1.88768   0.00003   0.00001   0.00042   0.00043   1.88811&lt;br /&gt;
   A11        1.91263   0.00002   0.00018   0.00014   0.00032   1.91295&lt;br /&gt;
   A12        1.86111   0.00002  -0.00084   0.00067  -0.00018   1.86094&lt;br /&gt;
   A13        1.96648  -0.00004   0.00101  -0.00077   0.00023   1.96671&lt;br /&gt;
   A14        1.91263   0.00002   0.00018   0.00014   0.00032   1.91295&lt;br /&gt;
   A15        1.88768   0.00003   0.00001   0.00042   0.00043   1.88811&lt;br /&gt;
   A16        1.91571  -0.00001  -0.00034   0.00008  -0.00026   1.91545&lt;br /&gt;
   A17        1.91707  -0.00001  -0.00011  -0.00045  -0.00056   1.91651&lt;br /&gt;
   A18        1.86111   0.00002  -0.00084   0.00067  -0.00018   1.86093&lt;br /&gt;
   A19        2.18654   0.00000   0.00040  -0.00029   0.00011   2.18665&lt;br /&gt;
   A20        2.02075  -0.00011   0.00008  -0.00035  -0.00027   2.02048&lt;br /&gt;
   A21        2.07578   0.00011  -0.00047   0.00066   0.00019   2.07597&lt;br /&gt;
   A22        2.12729  -0.00002  -0.00014  -0.00019  -0.00033   2.12696&lt;br /&gt;
   A23        2.12264   0.00007   0.00003   0.00032   0.00036   2.12300&lt;br /&gt;
   A24        2.03324  -0.00005   0.00011  -0.00014  -0.00003   2.03321&lt;br /&gt;
    D1       -0.01549   0.00003   0.00102   0.00115   0.00218  -0.01332&lt;br /&gt;
    D2       -3.14047   0.00000   0.00070  -0.00083  -0.00012  -3.14059&lt;br /&gt;
    D3        3.13147   0.00003   0.00036   0.00232   0.00267   3.13414&lt;br /&gt;
    D4        0.00649   0.00001   0.00003   0.00034   0.00037   0.00686&lt;br /&gt;
    D5       -2.05155  -0.00005  -0.00586  -0.00649  -0.01235  -2.06390&lt;br /&gt;
    D6        2.12598  -0.00004  -0.00648  -0.00619  -0.01266   2.11332&lt;br /&gt;
    D7        0.08506  -0.00006  -0.00519  -0.00678  -0.01196   0.07309&lt;br /&gt;
    D8        1.07389  -0.00003  -0.00555  -0.00455  -0.01011   1.06378&lt;br /&gt;
    D9       -1.03176  -0.00002  -0.00617  -0.00426  -0.01042  -1.04219&lt;br /&gt;
   D10       -3.07268  -0.00003  -0.00488  -0.00485  -0.00972  -3.08241&lt;br /&gt;
   D11        3.14159   0.00000  -0.00001   0.00002   0.00001  -3.14159&lt;br /&gt;
   D12       -1.00326  -0.00002   0.00038  -0.00031   0.00006  -1.00320&lt;br /&gt;
   D13        1.01917   0.00003  -0.00052   0.00079   0.00026   1.01943&lt;br /&gt;
   D14       -1.01918  -0.00003   0.00052  -0.00077  -0.00025  -1.01943&lt;br /&gt;
   D15        1.11916  -0.00005   0.00090  -0.00110  -0.00020   1.11896&lt;br /&gt;
   D16        3.14159   0.00000   0.00000   0.00000   0.00000  -3.14159&lt;br /&gt;
   D17        1.00325   0.00002  -0.00038   0.00034  -0.00005   1.00320&lt;br /&gt;
   D18        3.14159   0.00000   0.00000   0.00001   0.00001  -3.14159&lt;br /&gt;
   D19       -1.11917   0.00005  -0.00090   0.00111   0.00021  -1.11896&lt;br /&gt;
   D20        2.05155   0.00005   0.00585   0.00651   0.01236   2.06390&lt;br /&gt;
   D21       -1.07388   0.00003   0.00557   0.00451   0.01008  -1.06380&lt;br /&gt;
   D22       -0.08506   0.00006   0.00517   0.00681   0.01198  -0.07309&lt;br /&gt;
   D23        3.07270   0.00003   0.00489   0.00480   0.00970   3.08240&lt;br /&gt;
   D24       -2.12598   0.00004   0.00646   0.00621   0.01267  -2.11331&lt;br /&gt;
   D25        1.03178   0.00002   0.00618   0.00421   0.01040   1.04218&lt;br /&gt;
   D26       -3.13145  -0.00003  -0.00032  -0.00239  -0.00271  -3.13416&lt;br /&gt;
   D27        0.01549  -0.00003  -0.00102  -0.00115  -0.00218   0.01332&lt;br /&gt;
   D28       -0.00649  -0.00001  -0.00003  -0.00034  -0.00037  -0.00687&lt;br /&gt;
   D29        3.14045   0.00000  -0.00074   0.00090   0.00016   3.14062&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000234     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000065     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.016763     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.006300     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.568693D-06&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -0.013560    0.020624   -0.033805&lt;br /&gt;
      2          6           0       -0.000617   -0.015028    1.299158&lt;br /&gt;
      3          6           0        1.235106   -0.017351    2.156128&lt;br /&gt;
      4          6           0        1.361670   -1.297149    3.017758&lt;br /&gt;
      5          6           0        2.597391   -1.299465    3.874732&lt;br /&gt;
      6          6           0        2.610330   -1.335122    5.207696&lt;br /&gt;
      7          1           0        0.907162    0.064002   -0.612810&lt;br /&gt;
      8          1           0       -0.941805    0.013371   -0.598965&lt;br /&gt;
      9          1           0       -0.950492   -0.059097    1.835856&lt;br /&gt;
     10          1           0        1.222183    0.850863    2.831098&lt;br /&gt;
     11          1           0        2.125835    0.090146    1.523051&lt;br /&gt;
     12          1           0        0.470941   -1.404646    3.650834&lt;br /&gt;
     13          1           0        1.374595   -2.165364    2.342788&lt;br /&gt;
     14          1           0        3.547268   -1.255407    3.338038&lt;br /&gt;
     15          1           0        3.538573   -1.327886    5.772858&lt;br /&gt;
     16          1           0        1.689606   -1.378512    5.786698&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.333503   0.000000&lt;br /&gt;
     3  C    2.521194   1.503800   0.000000&lt;br /&gt;
     4  C    3.597197   2.540324   1.548001   0.000000&lt;br /&gt;
     5  C    4.882250   3.877242   2.540322   1.503801   0.000000&lt;br /&gt;
     6  C    6.016327   4.882250   3.597197   2.521194   1.333503&lt;br /&gt;
     7  H    1.088512   2.118002   2.789478   3.903888   4.985374&lt;br /&gt;
     8  H    1.086783   2.118847   3.511470   4.483765   5.853496&lt;br /&gt;
     9  H    2.092804   1.091901   2.209334   2.876763   4.275863&lt;br /&gt;
    10  H    3.228627   2.142860   1.099794   2.160615   2.757586&lt;br /&gt;
    11  H    2.646818   2.140792   1.098062   2.177771   2.771965&lt;br /&gt;
    12  H    3.980289   2.771964   2.177770   1.098062   2.140791&lt;br /&gt;
    13  H    3.514785   2.757592   2.160616   1.099795   2.142864&lt;br /&gt;
    14  H    5.067255   4.275869   2.876766   2.209334   1.091901&lt;br /&gt;
    15  H    6.939271   5.853500   4.483771   3.511471   2.118847&lt;br /&gt;
    16  H    6.223875   4.985374   3.903891   2.789478   2.118002&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.223875   0.000000&lt;br /&gt;
     8  H    6.939266   1.849713   0.000000&lt;br /&gt;
     9  H    5.067248   3.076037   2.435915   0.000000&lt;br /&gt;
    10  H    3.514783   3.546673   4.141204   2.557157   0.000000&lt;br /&gt;
    11  H    3.980293   2.459217   3.730853   3.095789   1.762460&lt;br /&gt;
    12  H    2.646817   4.530550   4.697597   2.669292   2.514688&lt;br /&gt;
    13  H    3.228628   3.731505   4.332033   3.177951   3.059298&lt;br /&gt;
    14  H    2.092804   4.931551   6.104225   4.890558   3.177953&lt;br /&gt;
    15  H    1.086783   7.045456   7.903980   6.104222   4.332040&lt;br /&gt;
    16  H    1.088512   6.606570   7.045449   4.931544   3.731510&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.082294   0.000000&lt;br /&gt;
    13  H    2.514688   1.762460   0.000000&lt;br /&gt;
    14  H    2.669300   3.095788   2.557157   0.000000&lt;br /&gt;
    15  H    4.697607   3.730851   4.141202   2.435915   0.000000&lt;br /&gt;
    16  H    4.530556   2.459216   3.546672   3.076037   1.849713&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -2.997436   -0.204721    0.150055&lt;br /&gt;
      2          6           0       -1.878941    0.442343   -0.179351&lt;br /&gt;
      3          6           0       -0.559577   -0.207616   -0.492794&lt;br /&gt;
      4          6           0        0.559577    0.207612    0.492796&lt;br /&gt;
      5          6           0        1.878941   -0.442343    0.179345&lt;br /&gt;
      6          6           0        2.997435    0.204725   -0.150057&lt;br /&gt;
      7          1           0       -3.033558   -1.291268    0.204560&lt;br /&gt;
      8          1           0       -3.921100    0.322862    0.372759&lt;br /&gt;
      9          1           0       -1.892015    1.533419   -0.219733&lt;br /&gt;
     10          1           0       -0.241051    0.066786   -1.509058&lt;br /&gt;
     11          1           0       -0.672463   -1.299817   -0.483123&lt;br /&gt;
     12          1           0        0.672461    1.299813    0.483125&lt;br /&gt;
     13          1           0        0.241051   -0.066791    1.509060&lt;br /&gt;
     14          1           0        1.892021   -1.533419    0.219736&lt;br /&gt;
     15          1           0        3.921105   -0.322855   -0.372746&lt;br /&gt;
     16          1           0        3.033557    1.291272   -0.204549&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     16.2451337      1.3358306      1.3156356&lt;br /&gt;
 Standard basis: 6-31G(d) (6D, 7F)&lt;br /&gt;
 There are   110 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    131072 words long.&lt;br /&gt;
 Raffenetti 2 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
   110 basis functions,   208 primitive gaussians,   110 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.5177923012 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=   110 RedAO= T  NBF=   110&lt;br /&gt;
 NBsUse=   110 1.00D-06 NBFU=   110&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=19759229.&lt;br /&gt;
 SCF Done:  E(RB3LYP) =  -234.611708788     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.3815D-08             -V/T =  2.0103&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6           0.000065964    0.000057348    0.000015015&lt;br /&gt;
      2        6          -0.000237795    0.000010990   -0.000136790&lt;br /&gt;
      3        6           0.000287098    0.000178945    0.000112797&lt;br /&gt;
      4        6          -0.000287476   -0.000177892   -0.000112675&lt;br /&gt;
      5        6           0.000237978   -0.000012786    0.000136673&lt;br /&gt;
      6        6          -0.000066037   -0.000058638   -0.000015249&lt;br /&gt;
      7        1          -0.000010330   -0.000013892   -0.000029273&lt;br /&gt;
      8        1          -0.000019010   -0.000008317   -0.000045265&lt;br /&gt;
      9        1           0.000055958   -0.000025210    0.000060750&lt;br /&gt;
     10        1          -0.000034282   -0.000045767   -0.000033974&lt;br /&gt;
     11        1          -0.000059094   -0.000055621   -0.000001154&lt;br /&gt;
     12        1           0.000058988    0.000055610    0.000001140&lt;br /&gt;
     13        1           0.000034709    0.000045809    0.000034246&lt;br /&gt;
     14        1          -0.000055960    0.000025887   -0.000060727&lt;br /&gt;
     15        1           0.000018968    0.000009027    0.000045214&lt;br /&gt;
     16        1           0.000010321    0.000014507    0.000029273&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000287476 RMS     0.000098447&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000202949 RMS     0.000048190&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   5 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3    4    5&lt;br /&gt;
 DE= -5.24D-06 DEPred=-2.57D-06 R= 2.04D+00&lt;br /&gt;
 SS=  1.41D+00  RLast= 3.94D-02 DXNew= 5.6511D-01 1.1809D-01&lt;br /&gt;
 Trust test= 2.04D+00 RLast= 3.94D-02 DXMaxT set to 3.36D-01&lt;br /&gt;
     Eigenvalues ---    0.00226   0.00230   0.00649   0.01704   0.01748&lt;br /&gt;
     Eigenvalues ---    0.03144   0.03198   0.03198   0.03294   0.04026&lt;br /&gt;
     Eigenvalues ---    0.04029   0.05346   0.05392   0.09188   0.09338&lt;br /&gt;
     Eigenvalues ---    0.12843   0.12914   0.15978   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16024   0.16210   0.21777   0.21943&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22077   0.27504   0.31465   0.32621&lt;br /&gt;
     Eigenvalues ---    0.35124   0.35332   0.35427   0.35461   0.36367&lt;br /&gt;
     Eigenvalues ---    0.36416   0.36648   0.36707   0.36807   0.37825&lt;br /&gt;
     Eigenvalues ---    0.62900   0.685751000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     5    4    3    2&lt;br /&gt;
 RFO step:  Lambda=-3.51546211D-07.&lt;br /&gt;
 DIIS coeffs:      1.50859     -0.46282     -0.15827      0.11251&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00315740 RMS(Int)=  0.00000358&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000466 RMS(Int)=  0.00000081&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000081&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.51996   0.00006   0.00032  -0.00029   0.00003   2.51999&lt;br /&gt;
    R2        2.05699   0.00001  -0.00002   0.00001  -0.00001   2.05698&lt;br /&gt;
    R3        2.05372   0.00004   0.00005   0.00007   0.00012   2.05384&lt;br /&gt;
    R4        2.84177   0.00020   0.00064   0.00013   0.00077   2.84255&lt;br /&gt;
    R5        2.06339  -0.00002  -0.00009   0.00003  -0.00006   2.06333&lt;br /&gt;
    R6        2.92530   0.00010   0.00005   0.00010   0.00015   2.92545&lt;br /&gt;
    R7        2.07831  -0.00006  -0.00015  -0.00001  -0.00016   2.07815&lt;br /&gt;
    R8        2.07504  -0.00005  -0.00018   0.00000  -0.00018   2.07486&lt;br /&gt;
    R9        2.84177   0.00020   0.00064   0.00013   0.00077   2.84255&lt;br /&gt;
   R10        2.07504  -0.00005  -0.00018   0.00000  -0.00018   2.07486&lt;br /&gt;
   R11        2.07831  -0.00006  -0.00015  -0.00001  -0.00016   2.07815&lt;br /&gt;
   R12        2.51996   0.00006   0.00032  -0.00029   0.00003   2.51999&lt;br /&gt;
   R13        2.06339  -0.00002  -0.00009   0.00003  -0.00006   2.06333&lt;br /&gt;
   R14        2.05372   0.00004   0.00005   0.00007   0.00012   2.05384&lt;br /&gt;
   R15        2.05699   0.00001  -0.00002   0.00001  -0.00001   2.05698&lt;br /&gt;
    A1        2.12300   0.00002   0.00034  -0.00012   0.00022   2.12322&lt;br /&gt;
    A2        2.12696   0.00002  -0.00008   0.00014   0.00006   2.12702&lt;br /&gt;
    A3        2.03321  -0.00004  -0.00026  -0.00001  -0.00027   2.03294&lt;br /&gt;
    A4        2.18665   0.00000   0.00009  -0.00010   0.00000   2.18665&lt;br /&gt;
    A5        2.07597   0.00008   0.00050   0.00013   0.00064   2.07661&lt;br /&gt;
    A6        2.02048  -0.00008  -0.00059  -0.00005  -0.00064   2.01984&lt;br /&gt;
    A7        1.96671  -0.00001  -0.00006  -0.00011  -0.00016   1.96655&lt;br /&gt;
    A8        1.91651  -0.00001  -0.00019  -0.00023  -0.00042   1.91609&lt;br /&gt;
    A9        1.91545  -0.00001  -0.00029   0.00007  -0.00022   1.91523&lt;br /&gt;
   A10        1.88811   0.00000   0.00009   0.00008   0.00017   1.88828&lt;br /&gt;
   A11        1.91295   0.00001   0.00015  -0.00004   0.00012   1.91307&lt;br /&gt;
   A12        1.86094   0.00003   0.00032   0.00024   0.00056   1.86150&lt;br /&gt;
   A13        1.96671  -0.00001  -0.00006  -0.00010  -0.00016   1.96655&lt;br /&gt;
   A14        1.91295   0.00001   0.00015  -0.00003   0.00012   1.91307&lt;br /&gt;
   A15        1.88811   0.00000   0.00009   0.00008   0.00017   1.88828&lt;br /&gt;
   A16        1.91545  -0.00001  -0.00030   0.00007  -0.00022   1.91523&lt;br /&gt;
   A17        1.91651  -0.00001  -0.00019  -0.00024  -0.00043   1.91609&lt;br /&gt;
   A18        1.86093   0.00003   0.00032   0.00024   0.00056   1.86150&lt;br /&gt;
   A19        2.18665   0.00000   0.00009  -0.00010   0.00000   2.18665&lt;br /&gt;
   A20        2.02048  -0.00008  -0.00059  -0.00005  -0.00064   2.01985&lt;br /&gt;
   A21        2.07597   0.00008   0.00050   0.00013   0.00064   2.07661&lt;br /&gt;
   A22        2.12696   0.00002  -0.00008   0.00014   0.00006   2.12702&lt;br /&gt;
   A23        2.12300   0.00002   0.00034  -0.00012   0.00022   2.12322&lt;br /&gt;
   A24        2.03321  -0.00004  -0.00026  -0.00001  -0.00027   2.03294&lt;br /&gt;
    D1       -0.01332   0.00001   0.00093  -0.00016   0.00077  -0.01254&lt;br /&gt;
    D2       -3.14059   0.00002   0.00005   0.00077   0.00081  -3.13978&lt;br /&gt;
    D3        3.13414  -0.00002   0.00084  -0.00099  -0.00015   3.13399&lt;br /&gt;
    D4        0.00686  -0.00001  -0.00005  -0.00006  -0.00011   0.00675&lt;br /&gt;
    D5       -2.06390  -0.00001  -0.00534  -0.00051  -0.00586  -2.06975&lt;br /&gt;
    D6        2.11332   0.00000  -0.00529  -0.00038  -0.00567   2.10764&lt;br /&gt;
    D7        0.07309  -0.00002  -0.00540  -0.00058  -0.00598   0.06712&lt;br /&gt;
    D8        1.06378  -0.00002  -0.00447  -0.00142  -0.00589   1.05790&lt;br /&gt;
    D9       -1.04219  -0.00001  -0.00442  -0.00128  -0.00570  -1.04789&lt;br /&gt;
   D10       -3.08241  -0.00003  -0.00452  -0.00148  -0.00601  -3.08842&lt;br /&gt;
   D11       -3.14159   0.00000   0.00000  -0.00001  -0.00001   3.14159&lt;br /&gt;
   D12       -1.00320  -0.00002  -0.00030  -0.00001  -0.00032  -1.00351&lt;br /&gt;
   D13        1.01943   0.00002   0.00021   0.00030   0.00051   1.01995&lt;br /&gt;
   D14       -1.01943  -0.00002  -0.00020  -0.00032  -0.00053  -1.01995&lt;br /&gt;
   D15        1.11896  -0.00004  -0.00051  -0.00032  -0.00083   1.11813&lt;br /&gt;
   D16       -3.14159   0.00000   0.00000  -0.00001   0.00000   3.14159&lt;br /&gt;
   D17        1.00320   0.00002   0.00031  -0.00001   0.00030   1.00351&lt;br /&gt;
   D18       -3.14159   0.00000   0.00000  -0.00001   0.00000   3.14159&lt;br /&gt;
   D19       -1.11896   0.00004   0.00052   0.00031   0.00083  -1.11814&lt;br /&gt;
   D20        2.06390   0.00001   0.00534   0.00050   0.00585   2.06975&lt;br /&gt;
   D21       -1.06380   0.00002   0.00446   0.00144   0.00591  -1.05789&lt;br /&gt;
   D22       -0.07309   0.00002   0.00540   0.00057   0.00596  -0.06712&lt;br /&gt;
   D23        3.08240   0.00003   0.00452   0.00150   0.00602   3.08842&lt;br /&gt;
   D24       -2.11331   0.00000   0.00529   0.00037   0.00566  -2.10765&lt;br /&gt;
   D25        1.04218   0.00001   0.00441   0.00130   0.00572   1.04790&lt;br /&gt;
   D26       -3.13416   0.00002  -0.00084   0.00103   0.00018  -3.13398&lt;br /&gt;
   D27        0.01332  -0.00001  -0.00094   0.00016  -0.00077   0.01254&lt;br /&gt;
   D28       -0.00687   0.00001   0.00005   0.00006   0.00011  -0.00675&lt;br /&gt;
   D29        3.14062  -0.00002  -0.00005  -0.00080  -0.00085   3.13977&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000203     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000048     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.008643     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.003157     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-7.910864D-07&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -0.014045    0.022388   -0.034989&lt;br /&gt;
      2          6           0       -0.000511   -0.016385    1.297897&lt;br /&gt;
      3          6           0        1.235887   -0.018251    2.154615&lt;br /&gt;
      4          6           0        1.360883   -1.296254    3.019277&lt;br /&gt;
      5          6           0        2.597284   -1.298123    3.875991&lt;br /&gt;
      6          6           0        2.610821   -1.336891    5.208877&lt;br /&gt;
      7          1           0        0.906254    0.068268   -0.614466&lt;br /&gt;
      8          1           0       -0.942512    0.014472   -0.599898&lt;br /&gt;
      9          1           0       -0.949713   -0.063670    1.835442&lt;br /&gt;
     10          1           0        1.223890    0.851594    2.827359&lt;br /&gt;
     11          1           0        2.126294    0.086384    1.520770&lt;br /&gt;
     12          1           0        0.470478   -1.400888    3.653123&lt;br /&gt;
     13          1           0        1.372879   -2.166100    2.346533&lt;br /&gt;
     14          1           0        3.546484   -1.250835    3.338443&lt;br /&gt;
     15          1           0        3.539289   -1.328967    5.773783&lt;br /&gt;
     16          1           0        1.690523   -1.382764    5.788356&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.333519   0.000000&lt;br /&gt;
     3  C    2.521576   1.504210   0.000000&lt;br /&gt;
     4  C    3.599692   2.540592   1.548081   0.000000&lt;br /&gt;
     5  C    4.884522   3.877880   2.540592   1.504210   0.000000&lt;br /&gt;
     6  C    6.019609   4.884522   3.599691   2.521576   1.333519&lt;br /&gt;
     7  H    1.088507   2.118141   2.789973   3.908029   4.989069&lt;br /&gt;
     8  H    1.086846   2.118948   3.511955   4.485761   5.855479&lt;br /&gt;
     9  H    2.093178   1.091868   2.209249   2.873949   4.274213&lt;br /&gt;
    10  H    3.226934   2.142848   1.099709   2.160753   2.758101&lt;br /&gt;
    11  H    2.646797   2.140918   1.097967   2.177857   2.772319&lt;br /&gt;
    12  H    3.982794   2.772322   2.177858   1.097967   2.140919&lt;br /&gt;
    13  H    3.519188   2.758099   2.160753   1.099709   2.142847&lt;br /&gt;
    14  H    5.067397   4.274210   2.873947   2.209250   1.091868&lt;br /&gt;
    15  H    6.942203   5.855477   4.485757   3.511955   2.118948&lt;br /&gt;
    16  H    6.228271   4.989069   3.908026   2.789973   2.118141&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.228270   0.000000&lt;br /&gt;
     8  H    6.942205   1.849606   0.000000&lt;br /&gt;
     9  H    5.067401   3.076373   2.436604   0.000000&lt;br /&gt;
    10  H    3.519187   3.544101   4.140067   2.558546   0.000000&lt;br /&gt;
    11  H    3.982790   2.459280   3.730947   3.095699   1.762684&lt;br /&gt;
    12  H    2.646797   4.534384   4.699784   2.666281   2.514596&lt;br /&gt;
    13  H    3.226934   3.738670   4.335594   3.174249   3.059390&lt;br /&gt;
    14  H    2.093178   4.933188   6.104311   4.887143   3.174249&lt;br /&gt;
    15  H    1.086846   7.049459   7.906653   6.104313   4.335589&lt;br /&gt;
    16  H    1.088507   6.611861   7.049463   4.933192   3.738664&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.082310   0.000000&lt;br /&gt;
    13  H    2.514597   1.762684   0.000000&lt;br /&gt;
    14  H    2.666277   3.095700   2.558546   0.000000&lt;br /&gt;
    15  H    4.699776   3.730948   4.140069   2.436603   0.000000&lt;br /&gt;
    16  H    4.534378   2.459281   3.544103   3.076373   1.849606&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.999175    0.203173    0.150323&lt;br /&gt;
      2          6           0        1.879458   -0.441048   -0.180564&lt;br /&gt;
      3          6           0        0.560298    0.212136   -0.490104&lt;br /&gt;
      4          6           0       -0.560299   -0.212140    0.490105&lt;br /&gt;
      5          6           0       -1.879458    0.441049    0.180567&lt;br /&gt;
      6          6           0       -2.999175   -0.203170   -0.150325&lt;br /&gt;
      7          1           0        3.036868    1.289392    0.209947&lt;br /&gt;
      8          1           0        3.922397   -0.326538    0.370098&lt;br /&gt;
      9          1           0        1.890332   -1.531936   -0.225525&lt;br /&gt;
     10          1           0        0.243596   -0.053252   -1.509236&lt;br /&gt;
     11          1           0        0.673512    1.304066   -0.470047&lt;br /&gt;
     12          1           0       -0.673515   -1.304070    0.470046&lt;br /&gt;
     13          1           0       -0.243596    0.053247    1.509236&lt;br /&gt;
     14          1           0       -1.890329    1.531936    0.225527&lt;br /&gt;
     15          1           0       -3.922394    0.326544   -0.370106&lt;br /&gt;
     16          1           0       -3.036869   -1.289388   -0.209955&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     16.2772774      1.3347691      1.3143452&lt;br /&gt;
 Standard basis: 6-31G(d) (6D, 7F)&lt;br /&gt;
 There are   110 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    131072 words long.&lt;br /&gt;
 Raffenetti 2 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
   110 basis functions,   208 primitive gaussians,   110 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.4859449805 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=   110 RedAO= T  NBF=   110&lt;br /&gt;
 NBsUse=   110 1.00D-06 NBFU=   110&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=19759229.&lt;br /&gt;
 SCF Done:  E(RB3LYP) =  -234.611710349     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.2412D-08             -V/T =  2.0103&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.000005203   -0.000009581    0.000017618&lt;br /&gt;
      2        6          -0.000007999   -0.000020532   -0.000027718&lt;br /&gt;
      3        6           0.000025289    0.000031850    0.000012186&lt;br /&gt;
      4        6          -0.000025072   -0.000032245   -0.000012215&lt;br /&gt;
      5        6           0.000007874    0.000021256    0.000027772&lt;br /&gt;
      6        6           0.000005231    0.000010066   -0.000017554&lt;br /&gt;
      7        1           0.000004456    0.000005792   -0.000003703&lt;br /&gt;
      8        1           0.000002974    0.000012389   -0.000009308&lt;br /&gt;
      9        1           0.000004995    0.000014173    0.000012040&lt;br /&gt;
     10        1           0.000007318   -0.000004373    0.000004672&lt;br /&gt;
     11        1          -0.000004565   -0.000008622   -0.000000785&lt;br /&gt;
     12        1           0.000004607    0.000008628    0.000000789&lt;br /&gt;
     13        1          -0.000007464    0.000004345   -0.000004799&lt;br /&gt;
     14        1          -0.000005039   -0.000014442   -0.000012058&lt;br /&gt;
     15        1          -0.000002933   -0.000012689    0.000009345&lt;br /&gt;
     16        1          -0.000004471   -0.000006017    0.000003718&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000032245 RMS     0.000013542&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000015837 RMS     0.000006595&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   6 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3    4    5&lt;br /&gt;
                                                      6&lt;br /&gt;
 DE= -1.56D-06 DEPred=-7.91D-07 R= 1.97D+00&lt;br /&gt;
 SS=  1.41D+00  RLast= 2.05D-02 DXNew= 5.6511D-01 6.1505D-02&lt;br /&gt;
 Trust test= 1.97D+00 RLast= 2.05D-02 DXMaxT set to 3.36D-01&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00232   0.00649   0.01705   0.01762&lt;br /&gt;
     Eigenvalues ---    0.03144   0.03198   0.03198   0.03334   0.04028&lt;br /&gt;
     Eigenvalues ---    0.04033   0.04855   0.05392   0.09209   0.09337&lt;br /&gt;
     Eigenvalues ---    0.12842   0.12935   0.14608   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16006   0.16091   0.21601   0.21944&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22058   0.27213   0.30211   0.31465&lt;br /&gt;
     Eigenvalues ---    0.35064   0.35332   0.35425   0.35427   0.36367&lt;br /&gt;
     Eigenvalues ---    0.36423   0.36648   0.36709   0.36807   0.37874&lt;br /&gt;
     Eigenvalues ---    0.62900   0.680871000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     6    5    4    3    2&lt;br /&gt;
 RFO step:  Lambda= 0.00000000D+00.&lt;br /&gt;
 DIIS coeffs:      0.90098      0.20288     -0.13899      0.03082      0.00432&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00008738 RMS(Int)=  0.00000013&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000001 RMS(Int)=  0.00000013&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.51999   0.00000   0.00003  -0.00004  -0.00001   2.51997&lt;br /&gt;
    R2        2.05698   0.00000   0.00002   0.00000   0.00001   2.05699&lt;br /&gt;
    R3        2.05384   0.00000   0.00002  -0.00001   0.00001   2.05385&lt;br /&gt;
    R4        2.84255   0.00001   0.00005   0.00002   0.00007   2.84261&lt;br /&gt;
    R5        2.06333   0.00000   0.00000   0.00000   0.00000   2.06333&lt;br /&gt;
    R6        2.92545   0.00000   0.00003   0.00000   0.00004   2.92549&lt;br /&gt;
    R7        2.07815   0.00000  -0.00002   0.00001  -0.00001   2.07813&lt;br /&gt;
    R8        2.07486  -0.00001  -0.00001  -0.00002  -0.00002   2.07483&lt;br /&gt;
    R9        2.84255   0.00001   0.00005   0.00002   0.00007   2.84261&lt;br /&gt;
   R10        2.07486  -0.00001  -0.00001  -0.00002  -0.00002   2.07483&lt;br /&gt;
   R11        2.07815   0.00000  -0.00002   0.00001  -0.00001   2.07813&lt;br /&gt;
   R12        2.51999   0.00000   0.00003  -0.00004  -0.00001   2.51997&lt;br /&gt;
   R13        2.06333   0.00000   0.00000   0.00000   0.00000   2.06333&lt;br /&gt;
   R14        2.05384   0.00000   0.00002  -0.00001   0.00001   2.05385&lt;br /&gt;
   R15        2.05698   0.00000   0.00002   0.00000   0.00001   2.05699&lt;br /&gt;
    A1        2.12322   0.00000   0.00004  -0.00006  -0.00003   2.12319&lt;br /&gt;
    A2        2.12702   0.00001  -0.00001   0.00009   0.00008   2.12710&lt;br /&gt;
    A3        2.03294  -0.00001  -0.00003  -0.00003  -0.00006   2.03288&lt;br /&gt;
    A4        2.18665   0.00000  -0.00003   0.00002  -0.00001   2.18664&lt;br /&gt;
    A5        2.07661   0.00001   0.00008   0.00002   0.00010   2.07671&lt;br /&gt;
    A6        2.01984  -0.00001  -0.00005  -0.00004  -0.00009   2.01976&lt;br /&gt;
    A7        1.96655  -0.00002  -0.00010   0.00000  -0.00010   1.96645&lt;br /&gt;
    A8        1.91609   0.00001   0.00001   0.00007   0.00008   1.91617&lt;br /&gt;
    A9        1.91523   0.00000   0.00001  -0.00003  -0.00002   1.91521&lt;br /&gt;
   A10        1.88828   0.00000   0.00001  -0.00002  -0.00002   1.88827&lt;br /&gt;
   A11        1.91307   0.00000   0.00000  -0.00002  -0.00002   1.91305&lt;br /&gt;
   A12        1.86150   0.00000   0.00009   0.00000   0.00009   1.86158&lt;br /&gt;
   A13        1.96655  -0.00002  -0.00010   0.00000  -0.00010   1.96645&lt;br /&gt;
   A14        1.91307   0.00000   0.00000  -0.00002  -0.00002   1.91305&lt;br /&gt;
   A15        1.88828   0.00000   0.00001  -0.00002  -0.00002   1.88827&lt;br /&gt;
   A16        1.91523   0.00000   0.00001  -0.00003  -0.00003   1.91521&lt;br /&gt;
   A17        1.91609   0.00001   0.00001   0.00007   0.00008   1.91617&lt;br /&gt;
   A18        1.86150   0.00000   0.00009   0.00000   0.00009   1.86158&lt;br /&gt;
   A19        2.18665   0.00000  -0.00003   0.00002  -0.00001   2.18664&lt;br /&gt;
   A20        2.01985  -0.00001  -0.00005  -0.00004  -0.00009   2.01976&lt;br /&gt;
   A21        2.07661   0.00001   0.00008   0.00002   0.00010   2.07671&lt;br /&gt;
   A22        2.12702   0.00001  -0.00001   0.00009   0.00008   2.12710&lt;br /&gt;
   A23        2.12322   0.00000   0.00004  -0.00006  -0.00003   2.12319&lt;br /&gt;
   A24        2.03294  -0.00001  -0.00003  -0.00003  -0.00006   2.03288&lt;br /&gt;
    D1       -0.01254   0.00000   0.00000  -0.00005  -0.00004  -0.01259&lt;br /&gt;
    D2       -3.13978  -0.00001  -0.00016  -0.00010  -0.00025  -3.14003&lt;br /&gt;
    D3        3.13399   0.00001   0.00016   0.00004   0.00021   3.13420&lt;br /&gt;
    D4        0.00675   0.00000   0.00001  -0.00001   0.00000   0.00675&lt;br /&gt;
    D5       -2.06975   0.00000   0.00012  -0.00004   0.00008  -2.06967&lt;br /&gt;
    D6        2.10764   0.00000   0.00018  -0.00007   0.00011   2.10776&lt;br /&gt;
    D7        0.06712  -0.00001   0.00006  -0.00008  -0.00003   0.06709&lt;br /&gt;
    D8        1.05790   0.00000   0.00028   0.00001   0.00029   1.05819&lt;br /&gt;
    D9       -1.04789   0.00001   0.00033  -0.00002   0.00032  -1.04757&lt;br /&gt;
   D10       -3.08842   0.00000   0.00021  -0.00004   0.00018  -3.08824&lt;br /&gt;
   D11        3.14159   0.00000   0.00000   0.00000   0.00000  -3.14159&lt;br /&gt;
   D12       -1.00351  -0.00001  -0.00006  -0.00005  -0.00011  -1.00362&lt;br /&gt;
   D13        1.01995   0.00000   0.00005  -0.00008  -0.00003   1.01992&lt;br /&gt;
   D14       -1.01995   0.00000  -0.00005   0.00008   0.00003  -1.01992&lt;br /&gt;
   D15        1.11813   0.00000  -0.00011   0.00003  -0.00008   1.11805&lt;br /&gt;
   D16        3.14159   0.00000   0.00000   0.00000   0.00000  -3.14159&lt;br /&gt;
   D17        1.00351   0.00001   0.00006   0.00005   0.00012   1.00362&lt;br /&gt;
   D18        3.14159   0.00000   0.00000   0.00000   0.00000  -3.14159&lt;br /&gt;
   D19       -1.11814   0.00000   0.00011  -0.00002   0.00009  -1.11805&lt;br /&gt;
   D20        2.06975   0.00000  -0.00012   0.00004  -0.00008   2.06967&lt;br /&gt;
   D21       -1.05789   0.00000  -0.00029  -0.00001  -0.00029  -1.05819&lt;br /&gt;
   D22       -0.06712   0.00001  -0.00005   0.00009   0.00003  -0.06709&lt;br /&gt;
   D23        3.08842   0.00000  -0.00022   0.00004  -0.00018   3.08824&lt;br /&gt;
   D24       -2.10765   0.00000  -0.00018   0.00007  -0.00011  -2.10776&lt;br /&gt;
   D25        1.04790  -0.00001  -0.00034   0.00002  -0.00032   1.04757&lt;br /&gt;
   D26       -3.13398  -0.00001  -0.00017  -0.00005  -0.00022  -3.13420&lt;br /&gt;
   D27        0.01254   0.00000   0.00000   0.00005   0.00004   0.01259&lt;br /&gt;
   D28       -0.00675   0.00000  -0.00001   0.00000   0.00000  -0.00675&lt;br /&gt;
   D29        3.13977   0.00001   0.00016   0.00010   0.00026   3.14003&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000016     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000229     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000087     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.672863D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !   Optimized Parameters   !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.3335         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R2    R(1,7)                  1.0885         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R3    R(1,8)                  1.0868         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R4    R(2,3)                  1.5042         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R5    R(2,9)                  1.0919         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R6    R(3,4)                  1.5481         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R7    R(3,10)                 1.0997         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R8    R(3,11)                 1.098          -DE/DX =    0.0                 !&lt;br /&gt;
 ! R9    R(4,5)                  1.5042         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R10   R(4,12)                 1.098          -DE/DX =    0.0                 !&lt;br /&gt;
 ! R11   R(4,13)                 1.0997         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R12   R(5,6)                  1.3335         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R13   R(5,14)                 1.0919         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R14   R(6,15)                 1.0868         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R15   R(6,16)                 1.0885         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A1    A(2,1,7)              121.6515         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A2    A(2,1,8)              121.8691         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A3    A(7,1,8)              116.4789         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A4    A(1,2,3)              125.2857         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A5    A(1,2,9)              118.981          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A6    A(3,2,9)              115.7286         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A7    A(2,3,4)              112.6751         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A8    A(2,3,10)             109.7837         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A9    A(2,3,11)             109.7346         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A10   A(4,3,10)             108.1907         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A11   A(4,3,11)             109.611          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A12   A(10,3,11)            106.6559         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A13   A(3,4,5)              112.6751         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A14   A(3,4,12)             109.611          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A15   A(3,4,13)             108.1907         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A16   A(5,4,12)             109.7346         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A17   A(5,4,13)             109.7836         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A18   A(12,4,13)            106.6559         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A19   A(4,5,6)              125.2857         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A20   A(4,5,14)             115.7286         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A21   A(6,5,14)             118.981          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A22   A(5,6,15)             121.8691         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A23   A(5,6,16)             121.6515         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A24   A(15,6,16)            116.4789         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D1    D(7,1,2,3)             -0.7187         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D2    D(7,1,2,9)           -179.8961         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D3    D(8,1,2,3)            179.5644         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D4    D(8,1,2,9)              0.387          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D5    D(1,2,3,4)           -118.5881         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D6    D(1,2,3,10)           120.7591         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D7    D(1,2,3,11)             3.8456         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D8    D(9,2,3,4)             60.6131         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D9    D(9,2,3,10)           -60.0398         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D10   D(9,2,3,11)          -176.9532         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D11   D(2,3,4,5)           -180.0002         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D12   D(2,3,4,12)           -57.497          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D13   D(2,3,4,13)            58.4386         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D14   D(10,3,4,5)           -58.4389         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D15   D(10,3,4,12)           64.0642         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D16   D(10,3,4,13)         -180.0001         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D17   D(11,3,4,5)            57.4967         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D18   D(11,3,4,12)         -180.0001         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D19   D(11,3,4,13)          -64.0645         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D20   D(3,4,5,6)            118.5878         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D21   D(3,4,5,14)           -60.6128         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D22   D(12,4,5,6)            -3.8459         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D23   D(12,4,5,14)          176.9534         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D24   D(13,4,5,6)          -120.7594         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D25   D(13,4,5,14)           60.04           -DE/DX =    0.0                 !&lt;br /&gt;
 ! D26   D(4,5,6,15)          -179.5638         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D27   D(4,5,6,16)             0.7187         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D28   D(14,5,6,15)           -0.3869         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D29   D(14,5,6,16)          179.8956         -DE/DX =    0.0                 !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -0.014045    0.022388   -0.034989&lt;br /&gt;
      2          6           0       -0.000511   -0.016385    1.297897&lt;br /&gt;
      3          6           0        1.235887   -0.018251    2.154615&lt;br /&gt;
      4          6           0        1.360883   -1.296254    3.019277&lt;br /&gt;
      5          6           0        2.597284   -1.298123    3.875991&lt;br /&gt;
      6          6           0        2.610821   -1.336891    5.208877&lt;br /&gt;
      7          1           0        0.906254    0.068268   -0.614466&lt;br /&gt;
      8          1           0       -0.942512    0.014472   -0.599898&lt;br /&gt;
      9          1           0       -0.949713   -0.063670    1.835442&lt;br /&gt;
     10          1           0        1.223890    0.851594    2.827359&lt;br /&gt;
     11          1           0        2.126294    0.086384    1.520770&lt;br /&gt;
     12          1           0        0.470478   -1.400888    3.653123&lt;br /&gt;
     13          1           0        1.372879   -2.166100    2.346533&lt;br /&gt;
     14          1           0        3.546484   -1.250835    3.338443&lt;br /&gt;
     15          1           0        3.539289   -1.328967    5.773783&lt;br /&gt;
     16          1           0        1.690523   -1.382764    5.788356&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.333519   0.000000&lt;br /&gt;
     3  C    2.521576   1.504210   0.000000&lt;br /&gt;
     4  C    3.599692   2.540592   1.548081   0.000000&lt;br /&gt;
     5  C    4.884522   3.877880   2.540592   1.504210   0.000000&lt;br /&gt;
     6  C    6.019609   4.884522   3.599691   2.521576   1.333519&lt;br /&gt;
     7  H    1.088507   2.118141   2.789973   3.908029   4.989069&lt;br /&gt;
     8  H    1.086846   2.118948   3.511955   4.485761   5.855479&lt;br /&gt;
     9  H    2.093178   1.091868   2.209249   2.873949   4.274213&lt;br /&gt;
    10  H    3.226934   2.142848   1.099709   2.160753   2.758101&lt;br /&gt;
    11  H    2.646797   2.140918   1.097967   2.177857   2.772319&lt;br /&gt;
    12  H    3.982794   2.772322   2.177858   1.097967   2.140919&lt;br /&gt;
    13  H    3.519188   2.758099   2.160753   1.099709   2.142847&lt;br /&gt;
    14  H    5.067397   4.274210   2.873947   2.209250   1.091868&lt;br /&gt;
    15  H    6.942203   5.855477   4.485757   3.511955   2.118948&lt;br /&gt;
    16  H    6.228271   4.989069   3.908026   2.789973   2.118141&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.228270   0.000000&lt;br /&gt;
     8  H    6.942205   1.849606   0.000000&lt;br /&gt;
     9  H    5.067401   3.076373   2.436604   0.000000&lt;br /&gt;
    10  H    3.519187   3.544101   4.140067   2.558546   0.000000&lt;br /&gt;
    11  H    3.982790   2.459280   3.730947   3.095699   1.762684&lt;br /&gt;
    12  H    2.646797   4.534384   4.699784   2.666281   2.514596&lt;br /&gt;
    13  H    3.226934   3.738670   4.335594   3.174249   3.059390&lt;br /&gt;
    14  H    2.093178   4.933188   6.104311   4.887143   3.174249&lt;br /&gt;
    15  H    1.086846   7.049459   7.906653   6.104313   4.335589&lt;br /&gt;
    16  H    1.088507   6.611861   7.049463   4.933192   3.738664&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.082310   0.000000&lt;br /&gt;
    13  H    2.514597   1.762684   0.000000&lt;br /&gt;
    14  H    2.666277   3.095700   2.558546   0.000000&lt;br /&gt;
    15  H    4.699776   3.730948   4.140069   2.436603   0.000000&lt;br /&gt;
    16  H    4.534378   2.459281   3.544103   3.076373   1.849606&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.999175    0.203173    0.150323&lt;br /&gt;
      2          6           0        1.879458   -0.441048   -0.180564&lt;br /&gt;
      3          6           0        0.560298    0.212136   -0.490104&lt;br /&gt;
      4          6           0       -0.560299   -0.212140    0.490105&lt;br /&gt;
      5          6           0       -1.879458    0.441049    0.180567&lt;br /&gt;
      6          6           0       -2.999175   -0.203170   -0.150325&lt;br /&gt;
      7          1           0        3.036868    1.289392    0.209947&lt;br /&gt;
      8          1           0        3.922397   -0.326538    0.370098&lt;br /&gt;
      9          1           0        1.890332   -1.531936   -0.225525&lt;br /&gt;
     10          1           0        0.243596   -0.053252   -1.509236&lt;br /&gt;
     11          1           0        0.673512    1.304066   -0.470047&lt;br /&gt;
     12          1           0       -0.673515   -1.304070    0.470046&lt;br /&gt;
     13          1           0       -0.243596    0.053247    1.509236&lt;br /&gt;
     14          1           0       -1.890329    1.531936    0.225527&lt;br /&gt;
     15          1           0       -3.922394    0.326544   -0.370106&lt;br /&gt;
     16          1           0       -3.036869   -1.289388   -0.209955&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     16.2772774      1.3347691      1.3143452&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -10.18735 -10.18721 -10.18699 -10.18694 -10.17617&lt;br /&gt;
 Alpha  occ. eigenvalues --  -10.17617  -0.80863  -0.76793  -0.70913  -0.63050&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.55582  -0.54729  -0.47485  -0.45812  -0.43915&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.40102  -0.39953  -0.38019  -0.35062  -0.33828&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.32901  -0.25909  -0.24665&lt;br /&gt;
 Alpha virt. eigenvalues --    0.01994   0.02740   0.10998   0.11370   0.12809&lt;br /&gt;
 Alpha virt. eigenvalues --    0.14703   0.15083   0.15795   0.18784   0.18827&lt;br /&gt;
 Alpha virt. eigenvalues --    0.19139   0.20592   0.24366   0.29684   0.31244&lt;br /&gt;
 Alpha virt. eigenvalues --    0.37519   0.37742   0.48794   0.51648   0.53035&lt;br /&gt;
 Alpha virt. eigenvalues --    0.53184   0.54845   0.58048   0.60560   0.60760&lt;br /&gt;
 Alpha virt. eigenvalues --    0.65082   0.66974   0.67848   0.68781   0.70383&lt;br /&gt;
 Alpha virt. eigenvalues --    0.74651   0.76287   0.79367   0.83501   0.84898&lt;br /&gt;
 Alpha virt. eigenvalues --    0.86694   0.87552   0.90043   0.90131   0.93154&lt;br /&gt;
 Alpha virt. eigenvalues --    0.93340   0.95924   0.96570   0.99380   1.10445&lt;br /&gt;
 Alpha virt. eigenvalues --    1.17506   1.18920   1.30453   1.30960   1.33667&lt;br /&gt;
 Alpha virt. eigenvalues --    1.37832   1.47344   1.48766   1.60933   1.62171&lt;br /&gt;
 Alpha virt. eigenvalues --    1.67715   1.71123   1.75447   1.85542   1.90208&lt;br /&gt;
 Alpha virt. eigenvalues --    1.91168   1.94121   1.98934   1.99918   2.01713&lt;br /&gt;
 Alpha virt. eigenvalues --    2.08914   2.13631   2.20150   2.23356   2.25379&lt;br /&gt;
 Alpha virt. eigenvalues --    2.34890   2.35739   2.41823   2.46360   2.51944&lt;br /&gt;
 Alpha virt. eigenvalues --    2.59878   2.61720   2.78459   2.78807   2.85127&lt;br /&gt;
 Alpha virt. eigenvalues --    2.93622   4.10563   4.12832   4.18609   4.32153&lt;br /&gt;
 Alpha virt. eigenvalues --    4.39383   4.51477&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    5.007050   0.684987  -0.032343  -0.001595  -0.000045  -0.000001&lt;br /&gt;
     2  C    0.684987   4.770392   0.388361  -0.041030   0.003959  -0.000045&lt;br /&gt;
     3  C   -0.032343   0.388361   5.054532   0.351929  -0.041030  -0.001595&lt;br /&gt;
     4  C   -0.001595  -0.041030   0.351929   5.054532   0.388361  -0.032343&lt;br /&gt;
     5  C   -0.000045   0.003959  -0.041030   0.388361   4.770392   0.684987&lt;br /&gt;
     6  C   -0.000001  -0.000045  -0.001595  -0.032343   0.684987   5.007050&lt;br /&gt;
     7  H    0.368717  -0.035268  -0.012413   0.000191  -0.000008   0.000000&lt;br /&gt;
     8  H    0.365379  -0.024702   0.004904  -0.000103   0.000002   0.000000&lt;br /&gt;
     9  H   -0.047489   0.367101  -0.056899  -0.002107   0.000030   0.000000&lt;br /&gt;
    10  H    0.000816  -0.032391   0.363104  -0.044004   0.000502   0.001651&lt;br /&gt;
    11  H   -0.006775  -0.037947   0.367802  -0.038447  -0.002065   0.000082&lt;br /&gt;
    12  H    0.000082  -0.002065  -0.038447   0.367802  -0.037947  -0.006775&lt;br /&gt;
    13  H    0.001651   0.000502  -0.044004   0.363104  -0.032391   0.000816&lt;br /&gt;
    14  H    0.000000   0.000030  -0.002107  -0.056899   0.367101  -0.047489&lt;br /&gt;
    15  H    0.000000   0.000002  -0.000103   0.004904  -0.024702   0.365379&lt;br /&gt;
    16  H    0.000000  -0.000008   0.000191  -0.012413  -0.035268   0.368717&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C    0.368717   0.365379  -0.047489   0.000816  -0.006775   0.000082&lt;br /&gt;
     2  C   -0.035268  -0.024702   0.367101  -0.032391  -0.037947  -0.002065&lt;br /&gt;
     3  C   -0.012413   0.004904  -0.056899   0.363104   0.367802  -0.038447&lt;br /&gt;
     4  C    0.000191  -0.000103  -0.002107  -0.044004  -0.038447   0.367802&lt;br /&gt;
     5  C   -0.000008   0.000002   0.000030   0.000502  -0.002065  -0.037947&lt;br /&gt;
     6  C    0.000000   0.000000   0.000000   0.001651   0.000082  -0.006775&lt;br /&gt;
     7  H    0.574892  -0.043773   0.006120   0.000154   0.007093   0.000020&lt;br /&gt;
     8  H   -0.043773   0.568439  -0.008201  -0.000207   0.000054   0.000005&lt;br /&gt;
     9  H    0.006120  -0.008201   0.610143  -0.001951   0.005400   0.004042&lt;br /&gt;
    10  H    0.000154  -0.000207  -0.001951   0.596271  -0.035495  -0.004591&lt;br /&gt;
    11  H    0.007093   0.000054   0.005400  -0.035495   0.597703   0.005350&lt;br /&gt;
    12  H    0.000020   0.000005   0.004042  -0.004591   0.005350   0.597703&lt;br /&gt;
    13  H    0.000066  -0.000051  -0.000168   0.006301  -0.004591  -0.035495&lt;br /&gt;
    14  H    0.000000   0.000000   0.000006  -0.000168   0.004042   0.005400&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000  -0.000051   0.000005   0.000054&lt;br /&gt;
    16  H    0.000000   0.000000   0.000000   0.000066   0.000020   0.007093&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C    0.001651   0.000000   0.000000   0.000000&lt;br /&gt;
     2  C    0.000502   0.000030   0.000002  -0.000008&lt;br /&gt;
     3  C   -0.044004  -0.002107  -0.000103   0.000191&lt;br /&gt;
     4  C    0.363104  -0.056899   0.004904  -0.012413&lt;br /&gt;
     5  C   -0.032391   0.367101  -0.024702  -0.035268&lt;br /&gt;
     6  C    0.000816  -0.047489   0.365379   0.368717&lt;br /&gt;
     7  H    0.000066   0.000000   0.000000   0.000000&lt;br /&gt;
     8  H   -0.000051   0.000000   0.000000   0.000000&lt;br /&gt;
     9  H   -0.000168   0.000006   0.000000   0.000000&lt;br /&gt;
    10  H    0.006301  -0.000168  -0.000051   0.000066&lt;br /&gt;
    11  H   -0.004591   0.004042   0.000005   0.000020&lt;br /&gt;
    12  H   -0.035495   0.005400   0.000054   0.007093&lt;br /&gt;
    13  H    0.596271  -0.001951  -0.000207   0.000154&lt;br /&gt;
    14  H   -0.001951   0.610143  -0.008201   0.006120&lt;br /&gt;
    15  H   -0.000207  -0.008201   0.568439  -0.043773&lt;br /&gt;
    16  H    0.000154   0.006120  -0.043773   0.574892&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.340435&lt;br /&gt;
     2  C   -0.041879&lt;br /&gt;
     3  C   -0.301883&lt;br /&gt;
     4  C   -0.301883&lt;br /&gt;
     5  C   -0.041879&lt;br /&gt;
     6  C   -0.340435&lt;br /&gt;
     7  H    0.134209&lt;br /&gt;
     8  H    0.138254&lt;br /&gt;
     9  H    0.123972&lt;br /&gt;
    10  H    0.149993&lt;br /&gt;
    11  H    0.137768&lt;br /&gt;
    12  H    0.137768&lt;br /&gt;
    13  H    0.149993&lt;br /&gt;
    14  H    0.123972&lt;br /&gt;
    15  H    0.138254&lt;br /&gt;
    16  H    0.134209&lt;br /&gt;
 Sum of Mulliken atomic charges =   0.00000&lt;br /&gt;
 Mulliken charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.067972&lt;br /&gt;
     2  C    0.082093&lt;br /&gt;
     3  C   -0.014121&lt;br /&gt;
     4  C   -0.014121&lt;br /&gt;
     5  C    0.082093&lt;br /&gt;
     6  C   -0.067972&lt;br /&gt;
 Sum of Mulliken charges with hydrogens summed into heavy atoms =   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=            926.2720&lt;br /&gt;
 Charge=              0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=              0.0000    Y=              0.0000    Z=              0.0000  Tot=              0.0000&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=            -38.3820   YY=            -35.8018   ZZ=            -40.5344&lt;br /&gt;
   XY=             -0.1567   XZ=              1.1432   YZ=              0.4381&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=             -0.1426   YY=              2.4376   ZZ=             -2.2950&lt;br /&gt;
   XY=             -0.1567   XZ=              1.1432   YZ=              0.4381&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=              0.0001  YYY=              0.0000  ZZZ=              0.0000  XYY=              0.0000&lt;br /&gt;
  XXY=              0.0000  XXZ=             -0.0001  XZZ=              0.0000  YZZ=              0.0000&lt;br /&gt;
  YYZ=              0.0000  XYZ=              0.0000&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX=          -1038.5342 YYYY=           -100.4546 ZZZZ=            -83.7477 XXXY=             -8.2916&lt;br /&gt;
 XXXZ=             27.3127 YYYX=              1.1986 YYYZ=              0.9521 ZZZX=             -0.3391&lt;br /&gt;
 ZZZY=              0.9001 XXYY=           -187.1080 XXZZ=           -215.9067 YYZZ=            -33.4083&lt;br /&gt;
 XXYZ=              0.2013 YYXZ=              0.4446 ZZXY=             -0.0973&lt;br /&gt;
 N-N= 2.114859449805D+02 E-N=-9.649384716195D+02  KE= 2.322230964588D+02&lt;br /&gt;
 B after Tr=     2.453593   -1.241951    4.888622&lt;br /&gt;
         Rot=   -0.280457    0.417267    0.681066   -0.532336 Ang= 212.58 deg.&lt;br /&gt;
 Final structure in terms of initial Z-matrix:&lt;br /&gt;
 C&lt;br /&gt;
 C,1,B1&lt;br /&gt;
 C,2,B2,1,A1&lt;br /&gt;
 C,3,B3,2,A2,1,D1,0&lt;br /&gt;
 C,4,B4,3,A3,2,D2,0&lt;br /&gt;
 C,5,B5,4,A4,3,D3,0&lt;br /&gt;
 H,1,B6,2,A5,3,D4,0&lt;br /&gt;
 H,1,B7,2,A6,3,D5,0&lt;br /&gt;
 H,2,B8,1,A7,3,D6,0&lt;br /&gt;
 H,3,B9,2,A8,1,D7,0&lt;br /&gt;
 H,3,B10,2,A9,1,D8,0&lt;br /&gt;
 H,4,B11,3,A10,2,D9,0&lt;br /&gt;
 H,4,B12,3,A11,2,D10,0&lt;br /&gt;
 H,5,B13,4,A12,3,D11,0&lt;br /&gt;
 H,6,B14,5,A13,4,D12,0&lt;br /&gt;
 H,6,B15,5,A14,4,D13,0&lt;br /&gt;
      Variables:&lt;br /&gt;
 B1=1.33351905&lt;br /&gt;
 B2=1.50421024&lt;br /&gt;
 B3=1.5480812&lt;br /&gt;
 B4=1.50421027&lt;br /&gt;
 B5=1.33351898&lt;br /&gt;
 B6=1.08850738&lt;br /&gt;
 B7=1.08684605&lt;br /&gt;
 B8=1.09186788&lt;br /&gt;
 B9=1.09970908&lt;br /&gt;
 B10=1.0979668&lt;br /&gt;
 B11=1.09796682&lt;br /&gt;
 B12=1.09970897&lt;br /&gt;
 B13=1.09186792&lt;br /&gt;
 B14=1.08684599&lt;br /&gt;
 B15=1.08850734&lt;br /&gt;
 A1=125.28574165&lt;br /&gt;
 A2=112.67506725&lt;br /&gt;
 A3=112.67508009&lt;br /&gt;
 A4=125.28572265&lt;br /&gt;
 A5=121.65149968&lt;br /&gt;
 A6=121.86908514&lt;br /&gt;
 A7=118.98099642&lt;br /&gt;
 A8=109.78368291&lt;br /&gt;
 A9=109.73457988&lt;br /&gt;
 A10=109.6109992&lt;br /&gt;
 A11=108.19069394&lt;br /&gt;
 A12=115.72859454&lt;br /&gt;
 A13=121.86907927&lt;br /&gt;
 A14=121.65150125&lt;br /&gt;
 D1=-118.58807639&lt;br /&gt;
 D2=179.9998046&lt;br /&gt;
 D3=118.58782241&lt;br /&gt;
 D4=-0.71870498&lt;br /&gt;
 D5=179.56438191&lt;br /&gt;
 D6=-179.17737371&lt;br /&gt;
 D7=120.75905101&lt;br /&gt;
 D8=3.84556758&lt;br /&gt;
 D9=-57.49702794&lt;br /&gt;
 D10=58.43863105&lt;br /&gt;
 D11=-60.61284967&lt;br /&gt;
 D12=-179.56377382&lt;br /&gt;
 D13=0.71873435&lt;br /&gt;
 1\1\GINC-CX1-7-36-1\FOpt\RB3LYP\6-31G(d)\C6H10\SCAN-USER-1\18-Mar-2010&lt;br /&gt;
 \0\\# opt b3lyp/6-31g(d) geom=connectivity\\hexadiene structure 3 opti&lt;br /&gt;
 mization\\0,1\C,-0.0140449584,0.0223884592,-0.0349894318\C,-0.00051082&lt;br /&gt;
 44,-0.0163846195,1.2978971062\C,1.2358872216,-0.01825119,2.1546145753\&lt;br /&gt;
 C,1.360883103,-1.2962539641,3.0192765552\C,2.5972835024,-1.2981229552,&lt;br /&gt;
 3.8759906893\C,2.6108206416,-1.336891031,5.2088772731\H,0.9062539419,0&lt;br /&gt;
 .0682677285,-0.6144662162\H,-0.9425116857,0.0144716216,-0.5998975548\H&lt;br /&gt;
 ,-0.9497130538,-0.0636704846,1.8354421121\H,1.223890071,0.8515943911,2&lt;br /&gt;
 .8273588091\H,2.1262936693,0.0863836392,1.5207699584\H,0.4704777779,-1&lt;br /&gt;
 .4008879968,3.6531229196\H,1.3728785801,-2.1660996152,2.346532568\H,3.&lt;br /&gt;
 5464844123,-1.2508346108,3.3384434881\H,3.5392885051,-1.3289665296,5.7&lt;br /&gt;
 737833099\H,1.6905229789,-1.3827643351,5.7883564207\\Version=EM64L-G09&lt;br /&gt;
 RevA.02\State=1-A\HF=-234.6117103\RMSD=2.412e-09\RMSF=1.354e-05\Dipole&lt;br /&gt;
 =-0.0000006,0.0000042,-0.0000005\Quadrupole=1.4487971,-2.0622018,0.613&lt;br /&gt;
 4047,0.1421918,-0.6962167,0.2771167\PG=C01 [X(C6H10)]\\@&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 A warm smile is the universal language of kindness.&lt;br /&gt;
                             -- William Arthur Ward&lt;br /&gt;
 Job cpu time:  0 days  0 hours  4 minutes 38.6 seconds.&lt;br /&gt;
 File lengths (MBytes):  RWF=     10 Int=      0 D2E=      0 Chk=      2 Scr=      1&lt;br /&gt;
 Normal termination of Gaussian 09 at Thu Mar 18 14:04:42 2010.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108514</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108514"/>
		<updated>2010-03-26T12:07:12Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;Output Files&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file:[[Mod:iijjjimjkioopp|Anti 2 BBS]] ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108512</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108512"/>
		<updated>2010-03-26T12:06:34Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;e) Reoptimisation with Higher Level Basis Set&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
Output Files&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below (output file: ).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iijjimjkioopp&amp;diff=108510</id>
		<title>Rep:Mod:iijjimjkioopp</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iijjimjkioopp&amp;diff=108510"/>
		<updated>2010-03-26T12:05:49Z</updated>

		<summary type="html">&lt;p&gt;Tb607: New page:  Entering Link 1 = C:\G09W\l1.exe PID=      1184.     Copyright (c) 1988,1990,1992,1993,1995,1998,2003,2009, Gaussian, Inc.                   All Rights Reserved.     This is part of the G...&lt;/p&gt;
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&lt;div&gt; Entering Link 1 = C:\G09W\l1.exe PID=      1184.&lt;br /&gt;
  &lt;br /&gt;
 Copyright (c) 1988,1990,1992,1993,1995,1998,2003,2009, Gaussian, Inc.&lt;br /&gt;
                  All Rights Reserved.&lt;br /&gt;
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 This is part of the Gaussian(R) 09 program.  It is based on&lt;br /&gt;
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 trademark of Gaussian, Inc.&lt;br /&gt;
  &lt;br /&gt;
 This software contains proprietary and confidential information,&lt;br /&gt;
 including trade secrets, belonging to Gaussian, Inc.&lt;br /&gt;
  &lt;br /&gt;
 This software is provided under written license and may be&lt;br /&gt;
 used, copied, transmitted, or stored only in accord with that&lt;br /&gt;
 written license.&lt;br /&gt;
  &lt;br /&gt;
 The following legend is applicable only to US Government&lt;br /&gt;
 contracts under FAR:&lt;br /&gt;
  &lt;br /&gt;
                    RESTRICTED RIGHTS LEGEND&lt;br /&gt;
  &lt;br /&gt;
 Use, reproduction and disclosure by the US Government is&lt;br /&gt;
 subject to restrictions as set forth in subparagraphs (a)&lt;br /&gt;
 and (c) of the Commercial Computer Software - Restricted&lt;br /&gt;
 Rights clause in FAR 52.227-19.&lt;br /&gt;
  &lt;br /&gt;
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  &lt;br /&gt;
  &lt;br /&gt;
 ---------------------------------------------------------------&lt;br /&gt;
 Warning -- This program may not be used in any manner that&lt;br /&gt;
 competes with the business of Gaussian, Inc. or will provide&lt;br /&gt;
 assistance to any competitor of Gaussian, Inc.  The licensee&lt;br /&gt;
 of this program is prohibited from giving any competitor of&lt;br /&gt;
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 ---------------------------------------------------------------&lt;br /&gt;
  &lt;br /&gt;
&lt;br /&gt;
 Cite this work as:&lt;br /&gt;
 Gaussian 09, Revision A.02,&lt;br /&gt;
 M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, &lt;br /&gt;
 M. A. Robb, J. R. Cheeseman, G. Scalmani, V. Barone, B. Mennucci, &lt;br /&gt;
 G. A. Petersson, H. Nakatsuji, M. Caricato, X. Li, H. P. Hratchian, &lt;br /&gt;
 A. F. Izmaylov, J. Bloino, G. Zheng, J. L. Sonnenberg, M. Hada, &lt;br /&gt;
 M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, &lt;br /&gt;
 Y. Honda, O. Kitao, H. Nakai, T. Vreven, J. A. Montgomery, Jr., &lt;br /&gt;
 J. E. Peralta, F. Ogliaro, M. Bearpark, J. J. Heyd, E. Brothers, &lt;br /&gt;
 K. N. Kudin, V. N. Staroverov, R. Kobayashi, J. Normand, &lt;br /&gt;
 K. Raghavachari, A. Rendell, J. C. Burant, S. S. Iyengar, J. Tomasi, &lt;br /&gt;
 M. Cossi, N. Rega, J. M. Millam, M. Klene, J. E. Knox, J. B. Cross, &lt;br /&gt;
 V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R. E. Stratmann, &lt;br /&gt;
 O. Yazyev, A. J. Austin, R. Cammi, C. Pomelli, J. W. Ochterski, &lt;br /&gt;
 R. L. Martin, K. Morokuma, V. G. Zakrzewski, G. A. Voth, &lt;br /&gt;
 P. Salvador, J. J. Dannenberg, S. Dapprich, A. D. Daniels, &lt;br /&gt;
 O. Farkas, J. B. Foresman, J. V. Ortiz, J. Cioslowski, &lt;br /&gt;
 and D. J. Fox, Gaussian, Inc., Wallingford CT, 2009.&lt;br /&gt;
 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 Gaussian 09:  IA32W-G09RevA.02 11-Jun-2009&lt;br /&gt;
                09-Dec-2009 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 %mem=250MB&lt;br /&gt;
 %chk=D:\Module3\hexadiene\nm607_hexadiene_structure3_opt.chk&lt;br /&gt;
 --------------------------------&lt;br /&gt;
 # opt hf/3-21g geom=connectivity&lt;br /&gt;
 --------------------------------&lt;br /&gt;
 1/18=20,19=15,38=1,57=2/1,3;&lt;br /&gt;
 2/9=110,12=2,17=6,18=5,40=1/2;&lt;br /&gt;
 3/5=5,11=9,16=1,25=1,30=1,71=1/1,2,3;&lt;br /&gt;
 4//1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,28=1/1;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/18=20,19=15/3(2);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 99//99;&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 3/5=5,11=9,16=1,25=1,30=1,71=1/1,2,3;&lt;br /&gt;
 4/5=5,16=3/1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/18=20,19=15/3(-5);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,19=2,28=1/1;&lt;br /&gt;
 99/9=1/99;&lt;br /&gt;
 ----------------------------------&lt;br /&gt;
 hexadiene structure 3 optimization&lt;br /&gt;
 ----------------------------------&lt;br /&gt;
 Symbolic Z-matrix:&lt;br /&gt;
 Charge =  0 Multiplicity = 1&lt;br /&gt;
 C                     2.08404   0.74795  -1.51497 &lt;br /&gt;
 C                     1.93291   0.74795  -0.20729 &lt;br /&gt;
 C                     0.59773   0.74795   0.49756 &lt;br /&gt;
 C                     0.29654   2.10451   1.19641 &lt;br /&gt;
 C                    -1.03865   2.10451   1.90127 &lt;br /&gt;
 C                    -1.18978   2.10451   3.20894 &lt;br /&gt;
 H                     1.24238   0.76408  -2.18313 &lt;br /&gt;
 H                     3.05459   0.735    -1.97335 &lt;br /&gt;
 H                     2.80165   0.73855   0.42692 &lt;br /&gt;
 H                     0.58315  -0.03956   1.24318 &lt;br /&gt;
 H                    -0.19561   0.54825  -0.21548 &lt;br /&gt;
 H                     1.08352   2.30975   1.91395 &lt;br /&gt;
 H                     0.31668   2.88707   0.44482 &lt;br /&gt;
 H                    -1.90739   2.09511   1.26705 &lt;br /&gt;
 H                    -2.16034   2.09156   3.66733 &lt;br /&gt;
 H                    -0.34813   2.12064   3.87711 &lt;br /&gt;
 &lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Initialization pass.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !    Initial Parameters    !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.3164         estimate D2E/DX2                !&lt;br /&gt;
 ! R2    R(1,7)                  1.0747         estimate D2E/DX2                !&lt;br /&gt;
 ! R3    R(1,8)                  1.0734         estimate D2E/DX2                !&lt;br /&gt;
 ! R4    R(2,3)                  1.5098         estimate D2E/DX2                !&lt;br /&gt;
 ! R5    R(2,9)                  1.0756         estimate D2E/DX2                !&lt;br /&gt;
 ! R6    R(3,4)                  1.5554         estimate D2E/DX2                !&lt;br /&gt;
 ! R7    R(3,10)                 1.0846         estimate D2E/DX2                !&lt;br /&gt;
 ! R8    R(3,11)                 1.0852         estimate D2E/DX2                !&lt;br /&gt;
 ! R9    R(4,5)                  1.5098         estimate D2E/DX2                !&lt;br /&gt;
 ! R10   R(4,12)                 1.0846         estimate D2E/DX2                !&lt;br /&gt;
 ! R11   R(4,13)                 1.0852         estimate D2E/DX2                !&lt;br /&gt;
 ! R12   R(5,6)                  1.3164         estimate D2E/DX2                !&lt;br /&gt;
 ! R13   R(5,14)                 1.0756         estimate D2E/DX2                !&lt;br /&gt;
 ! R14   R(6,15)                 1.0734         estimate D2E/DX2                !&lt;br /&gt;
 ! R15   R(6,16)                 1.0747         estimate D2E/DX2                !&lt;br /&gt;
 ! A1    A(2,1,7)              121.8486         estimate D2E/DX2                !&lt;br /&gt;
 ! A2    A(2,1,8)              121.8707         estimate D2E/DX2                !&lt;br /&gt;
 ! A3    A(7,1,8)              116.2804         estimate D2E/DX2                !&lt;br /&gt;
 ! A4    A(1,2,3)              124.4222         estimate D2E/DX2                !&lt;br /&gt;
 ! A5    A(1,2,9)              119.5375         estimate D2E/DX2                !&lt;br /&gt;
 ! A6    A(3,2,9)              116.0379         estimate D2E/DX2                !&lt;br /&gt;
 ! A7    A(2,3,4)              112.3952         estimate D2E/DX2                !&lt;br /&gt;
 ! A8    A(2,3,10)             109.4402         estimate D2E/DX2                !&lt;br /&gt;
 ! A9    A(2,3,11)             109.8612         estimate D2E/DX2                !&lt;br /&gt;
 ! A10   A(4,3,10)             108.7708         estimate D2E/DX2                !&lt;br /&gt;
 ! A11   A(4,3,11)             108.3092         estimate D2E/DX2                !&lt;br /&gt;
 ! A12   A(10,3,11)            107.9545         estimate D2E/DX2                !&lt;br /&gt;
 ! A13   A(3,4,5)              112.3953         estimate D2E/DX2                !&lt;br /&gt;
 ! A14   A(3,4,12)             108.7708         estimate D2E/DX2                !&lt;br /&gt;
 ! A15   A(3,4,13)             108.3092         estimate D2E/DX2                !&lt;br /&gt;
 ! A16   A(5,4,12)             109.4402         estimate D2E/DX2                !&lt;br /&gt;
 ! A17   A(5,4,13)             109.8612         estimate D2E/DX2                !&lt;br /&gt;
 ! A18   A(12,4,13)            107.9545         estimate D2E/DX2                !&lt;br /&gt;
 ! A19   A(4,5,6)              124.4223         estimate D2E/DX2                !&lt;br /&gt;
 ! A20   A(4,5,14)             116.0378         estimate D2E/DX2                !&lt;br /&gt;
 ! A21   A(6,5,14)             119.5376         estimate D2E/DX2                !&lt;br /&gt;
 ! A22   A(5,6,15)             121.8708         estimate D2E/DX2                !&lt;br /&gt;
 ! A23   A(5,6,16)             121.8487         estimate D2E/DX2                !&lt;br /&gt;
 ! A24   A(15,6,16)            116.2803         estimate D2E/DX2                !&lt;br /&gt;
 ! D1    D(7,1,2,3)              1.0124         estimate D2E/DX2                !&lt;br /&gt;
 ! D2    D(7,1,2,9)           -179.5632         estimate D2E/DX2                !&lt;br /&gt;
 ! D3    D(8,1,2,3)           -179.1859         estimate D2E/DX2                !&lt;br /&gt;
 ! D4    D(8,1,2,9)              0.2385         estimate D2E/DX2                !&lt;br /&gt;
 ! D5    D(1,2,3,4)           -109.3883         estimate D2E/DX2                !&lt;br /&gt;
 ! D6    D(1,2,3,10)           129.6468         estimate D2E/DX2                !&lt;br /&gt;
 ! D7    D(1,2,3,11)            11.2831         estimate D2E/DX2                !&lt;br /&gt;
 ! D8    D(9,2,3,4)             71.1691         estimate D2E/DX2                !&lt;br /&gt;
 ! D9    D(9,2,3,10)           -49.7958         estimate D2E/DX2                !&lt;br /&gt;
 ! D10   D(9,2,3,11)          -168.1596         estimate D2E/DX2                !&lt;br /&gt;
 ! D11   D(2,3,4,5)            180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D12   D(2,3,4,12)           -58.6516         estimate D2E/DX2                !&lt;br /&gt;
 ! D13   D(2,3,4,13)            58.439          estimate D2E/DX2                !&lt;br /&gt;
 ! D14   D(10,3,4,5)           -58.6516         estimate D2E/DX2                !&lt;br /&gt;
 ! D15   D(10,3,4,12)           62.6969         estimate D2E/DX2                !&lt;br /&gt;
 ! D16   D(10,3,4,13)          179.7874         estimate D2E/DX2                !&lt;br /&gt;
 ! D17   D(11,3,4,5)            58.439          estimate D2E/DX2                !&lt;br /&gt;
 ! D18   D(11,3,4,12)          179.7874         estimate D2E/DX2                !&lt;br /&gt;
 ! D19   D(11,3,4,13)          -63.122          estimate D2E/DX2                !&lt;br /&gt;
 ! D20   D(3,4,5,6)            109.3882         estimate D2E/DX2                !&lt;br /&gt;
 ! D21   D(3,4,5,14)           -70.0541         estimate D2E/DX2                !&lt;br /&gt;
 ! D22   D(12,4,5,6)           -11.5767         estimate D2E/DX2                !&lt;br /&gt;
 ! D23   D(12,4,5,14)          168.981          estimate D2E/DX2                !&lt;br /&gt;
 ! D24   D(13,4,5,6)          -129.9404         estimate D2E/DX2                !&lt;br /&gt;
 ! D25   D(13,4,5,14)           50.6172         estimate D2E/DX2                !&lt;br /&gt;
 ! D26   D(4,5,6,15)          -179.1857         estimate D2E/DX2                !&lt;br /&gt;
 ! D27   D(4,5,6,16)             1.0125         estimate D2E/DX2                !&lt;br /&gt;
 ! D28   D(14,5,6,15)            0.2384         estimate D2E/DX2                !&lt;br /&gt;
 ! D29   D(14,5,6,16)         -179.5634         estimate D2E/DX2                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 Trust Radius=3.00D-01 FncErr=1.00D-07 GrdErr=1.00D-07&lt;br /&gt;
 Number of steps in this run=  78 maximum allowed number of steps= 100.&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.084038    0.747949   -1.514969&lt;br /&gt;
      2          6           0        1.932911    0.747948   -0.207292&lt;br /&gt;
      3          6           0        0.597725    0.747948    0.497562&lt;br /&gt;
      4          6           0        0.296536    2.104510    1.196412&lt;br /&gt;
      5          6           0       -1.038651    2.104511    1.901267&lt;br /&gt;
      6          6           0       -1.189779    2.104510    3.208942&lt;br /&gt;
      7          1           0        1.242384    0.764079   -2.183133&lt;br /&gt;
      8          1           0        3.054594    0.734997   -1.973354&lt;br /&gt;
      9          1           0        2.801647    0.738546    0.426925&lt;br /&gt;
     10          1           0        0.583152   -0.039564    1.243175&lt;br /&gt;
     11          1           0       -0.195614    0.548248   -0.215483&lt;br /&gt;
     12          1           0        1.083516    2.309754    1.913951&lt;br /&gt;
     13          1           0        0.316682    2.887071    0.444818&lt;br /&gt;
     14          1           0       -1.907386    2.095107    1.267049&lt;br /&gt;
     15          1           0       -2.160336    2.091555    3.667328&lt;br /&gt;
     16          1           0       -0.348126    2.120641    3.877108&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316381   0.000000&lt;br /&gt;
     3  C    2.501881   1.509815   0.000000&lt;br /&gt;
     4  C    3.519519   2.547228   1.555432   0.000000&lt;br /&gt;
     5  C    4.823082   3.887990   2.547230   1.509816   0.000000&lt;br /&gt;
     6  C    5.905377   4.823081   3.519519   2.501881   1.316380&lt;br /&gt;
     7  H    1.074749   2.093093   2.757167   3.756689   4.866436&lt;br /&gt;
     8  H    1.073435   2.092203   3.484508   4.419261   5.800251&lt;br /&gt;
     9  H    2.070266   1.075649   2.205073   2.955258   4.334447&lt;br /&gt;
    10  H    3.237313   2.132107   1.084586   2.163652   2.767741&lt;br /&gt;
    11  H    2.631607   2.137888   1.085219   2.158150   2.759221&lt;br /&gt;
    12  H    3.898432   2.767739   2.163652   1.084585   2.132107&lt;br /&gt;
    13  H    3.397081   2.759219   2.158150   1.085219   2.137889&lt;br /&gt;
    14  H    5.048359   4.328556   2.946613   2.205073   1.075649&lt;br /&gt;
    15  H    6.831998   5.794190   4.411303   3.484510   2.092204&lt;br /&gt;
    16  H    6.072413   4.875422   3.768322   2.757168   2.093092&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.065200   0.000000&lt;br /&gt;
     8  H    6.837139   1.824544   0.000000&lt;br /&gt;
     9  H    5.053411   3.040453   2.413572   0.000000&lt;br /&gt;
    10  H    3.406550   3.580505   4.129652   2.488662   0.000000&lt;br /&gt;
    11  H    3.890631   2.446644   3.699843   3.071233   1.754903&lt;br /&gt;
    12  H    2.624310   4.381831   4.634236   2.762591   2.493912&lt;br /&gt;
    13  H    3.243795   3.502876   4.239710   3.285046   3.045254&lt;br /&gt;
    14  H    2.070265   4.857617   6.080408   4.972027   3.280270&lt;br /&gt;
    15  H    1.073436   6.896999   7.800836   6.078825   4.236144&lt;br /&gt;
    16  H    1.074749   6.410655   6.908431   4.871860   3.531482&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.045253   0.000000&lt;br /&gt;
    13  H    2.483654   1.754902   0.000000&lt;br /&gt;
    14  H    2.742415   3.067581   2.499949   0.000000&lt;br /&gt;
    15  H    4.617159   3.693849   4.141622   2.413573   0.000000&lt;br /&gt;
    16  H    4.386910   2.437078   3.579105   3.040452   1.824543&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -2.938890    0.259409   -0.116425&lt;br /&gt;
      2          6           0       -1.878503   -0.489593    0.101364&lt;br /&gt;
      3          6           0       -0.539834    0.038437    0.558191&lt;br /&gt;
      4          6           0        0.540004   -0.038445   -0.558683&lt;br /&gt;
      5          6           0        1.878674    0.489585   -0.101857&lt;br /&gt;
      6          6           0        2.939061   -0.259416    0.115933&lt;br /&gt;
      7          1           0       -2.913979    1.326907    0.005699&lt;br /&gt;
      8          1           0       -3.875636   -0.161496   -0.428850&lt;br /&gt;
      9          1           0       -1.943234   -1.554065   -0.039096&lt;br /&gt;
     10          1           0       -0.198624   -0.534483    1.413565&lt;br /&gt;
     11          1           0       -0.637890    1.074198    0.866872&lt;br /&gt;
     12          1           0        0.646821   -1.071788   -0.870318&lt;br /&gt;
     13          1           0        0.189577    0.533691   -1.411656&lt;br /&gt;
     14          1           0        1.938160    1.551845    0.056527&lt;br /&gt;
     15          1           0        3.868584    0.158443    0.453050&lt;br /&gt;
     16          1           0        2.923148   -1.323118   -0.036938&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.4406343      1.3703547      1.3522088&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.0227722487 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  205 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state of the initial guess is 1-A.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=4687201.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692147104     A.U. after   11 cycles&lt;br /&gt;
             Convg  =    0.3604D-08             -V/T =  2.0018&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.17263 -11.17240 -11.16794 -11.16768 -11.15806&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.15804  -1.09802  -1.05420  -0.97561  -0.86694&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.75959  -0.75406  -0.66076  -0.63719  -0.61255&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.56765  -0.56197  -0.52769  -0.49871  -0.48085&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.46304  -0.37364  -0.35203&lt;br /&gt;
 Alpha virt. eigenvalues --    0.18128   0.19704   0.28051   0.28900   0.30597&lt;br /&gt;
 Alpha virt. eigenvalues --    0.32093   0.33599   0.34332   0.37345   0.37586&lt;br /&gt;
 Alpha virt. eigenvalues --    0.37895   0.39142   0.43850   0.51475   0.52730&lt;br /&gt;
 Alpha virt. eigenvalues --    0.59995   0.60452   0.85445   0.90438   0.92492&lt;br /&gt;
 Alpha virt. eigenvalues --    0.93941   0.98787   0.99747   1.01502   1.02088&lt;br /&gt;
 Alpha virt. eigenvalues --    1.09249   1.10517   1.11818   1.12338   1.12592&lt;br /&gt;
 Alpha virt. eigenvalues --    1.19363   1.21829   1.26814   1.30140   1.33122&lt;br /&gt;
 Alpha virt. eigenvalues --    1.36152   1.36958   1.39252   1.39329   1.41548&lt;br /&gt;
 Alpha virt. eigenvalues --    1.42683   1.46009   1.61962   1.65430   1.72439&lt;br /&gt;
 Alpha virt. eigenvalues --    1.76696   1.81977   1.98658   2.16890   2.23078&lt;br /&gt;
 Alpha virt. eigenvalues --    2.52601&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    5.197991   0.541531  -0.081541   0.000751  -0.000053   0.000000&lt;br /&gt;
     2  C    0.541531   5.273052   0.273500  -0.078866   0.004234  -0.000050&lt;br /&gt;
     3  C   -0.081541   0.273500   5.457678   0.234145  -0.078696   0.000624&lt;br /&gt;
     4  C    0.000751  -0.078866   0.234145   5.458187   0.273340  -0.081591&lt;br /&gt;
     5  C   -0.000053   0.004234  -0.078696   0.273340   5.272691   0.542022&lt;br /&gt;
     6  C    0.000000  -0.000050   0.000624  -0.081591   0.542022   5.197888&lt;br /&gt;
     7  H    0.399843  -0.054734  -0.001976   0.000080  -0.000002   0.000000&lt;br /&gt;
     8  H    0.395926  -0.050970   0.002617  -0.000065   0.000001   0.000000&lt;br /&gt;
     9  H   -0.041498   0.398960  -0.038920   0.000237  -0.000036   0.000002&lt;br /&gt;
    10  H    0.001339  -0.046203   0.383770  -0.047550   0.000807   0.001094&lt;br /&gt;
    11  H    0.001468  -0.049690   0.391465  -0.045759  -0.000032   0.000197&lt;br /&gt;
    12  H    0.000191   0.000008  -0.044742   0.391276  -0.050598   0.001514&lt;br /&gt;
    13  H    0.001098   0.000711  -0.048562   0.383484  -0.045507   0.001348&lt;br /&gt;
    14  H    0.000002  -0.000035   0.000171  -0.038970   0.398763  -0.041533&lt;br /&gt;
    15  H    0.000000   0.000001  -0.000065   0.002619  -0.050956   0.395946&lt;br /&gt;
    16  H    0.000000  -0.000002   0.000070  -0.001949  -0.054763   0.399768&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C    0.399843   0.395926  -0.041498   0.001339   0.001468   0.000191&lt;br /&gt;
     2  C   -0.054734  -0.050970   0.398960  -0.046203  -0.049690   0.000008&lt;br /&gt;
     3  C   -0.001976   0.002617  -0.038920   0.383770   0.391465  -0.044742&lt;br /&gt;
     4  C    0.000080  -0.000065   0.000237  -0.047550  -0.045759   0.391276&lt;br /&gt;
     5  C   -0.000002   0.000001  -0.000036   0.000807  -0.000032  -0.050598&lt;br /&gt;
     6  C    0.000000   0.000000   0.000002   0.001094   0.000197   0.001514&lt;br /&gt;
     7  H    0.469496  -0.021715   0.002302   0.000053   0.002195   0.000004&lt;br /&gt;
     8  H   -0.021715   0.466118  -0.002087  -0.000060   0.000057   0.000000&lt;br /&gt;
     9  H    0.002302  -0.002087   0.457431  -0.000890   0.002161   0.001105&lt;br /&gt;
    10  H    0.000053  -0.000060  -0.000890   0.500269  -0.022234  -0.001041&lt;br /&gt;
    11  H    0.002195   0.000057   0.002161  -0.022234   0.501361   0.002988&lt;br /&gt;
    12  H    0.000004   0.000000   0.001105  -0.001041   0.002988   0.501495&lt;br /&gt;
    13  H    0.000091  -0.000010   0.000158   0.003274  -0.001052  -0.022197&lt;br /&gt;
    14  H    0.000000   0.000000   0.000000   0.000160   0.001185   0.002206&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000  -0.000010   0.000000   0.000057&lt;br /&gt;
    16  H    0.000000   0.000000   0.000000   0.000084   0.000004   0.002270&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C    0.001098   0.000002   0.000000   0.000000&lt;br /&gt;
     2  C    0.000711  -0.000035   0.000001  -0.000002&lt;br /&gt;
     3  C   -0.048562   0.000171  -0.000065   0.000070&lt;br /&gt;
     4  C    0.383484  -0.038970   0.002619  -0.001949&lt;br /&gt;
     5  C   -0.045507   0.398763  -0.050956  -0.054763&lt;br /&gt;
     6  C    0.001348  -0.041533   0.395946   0.399768&lt;br /&gt;
     7  H    0.000091   0.000000   0.000000   0.000000&lt;br /&gt;
     8  H   -0.000010   0.000000   0.000000   0.000000&lt;br /&gt;
     9  H    0.000158   0.000000   0.000000   0.000000&lt;br /&gt;
    10  H    0.003274   0.000160  -0.000010   0.000084&lt;br /&gt;
    11  H   -0.001052   0.001185   0.000000   0.000004&lt;br /&gt;
    12  H   -0.022197   0.002206   0.000057   0.002270&lt;br /&gt;
    13  H    0.501234  -0.000804  -0.000059   0.000056&lt;br /&gt;
    14  H   -0.000804   0.457994  -0.002090   0.002306&lt;br /&gt;
    15  H   -0.000059  -0.002090   0.466019  -0.021709&lt;br /&gt;
    16  H    0.000056   0.002306  -0.021709   0.469550&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.417048&lt;br /&gt;
     2  C   -0.211448&lt;br /&gt;
     3  C   -0.449537&lt;br /&gt;
     4  C   -0.449369&lt;br /&gt;
     5  C   -0.211216&lt;br /&gt;
     6  C   -0.417230&lt;br /&gt;
     7  H    0.204362&lt;br /&gt;
     8  H    0.210188&lt;br /&gt;
     9  H    0.221074&lt;br /&gt;
    10  H    0.227139&lt;br /&gt;
    11  H    0.215684&lt;br /&gt;
    12  H    0.215461&lt;br /&gt;
    13  H    0.226737&lt;br /&gt;
    14  H    0.220643&lt;br /&gt;
    15  H    0.210247&lt;br /&gt;
    16  H    0.204314&lt;br /&gt;
 Sum of Mulliken atomic charges =   0.00000&lt;br /&gt;
 Mulliken charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.002499&lt;br /&gt;
     2  C    0.009626&lt;br /&gt;
     3  C   -0.006714&lt;br /&gt;
     4  C   -0.007171&lt;br /&gt;
     5  C    0.009427&lt;br /&gt;
     6  C   -0.002669&lt;br /&gt;
 Sum of Mulliken charges with hydrogens summed into heavy atoms =   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=            907.7893&lt;br /&gt;
 Charge=              0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=             -0.0055    Y=             -0.0027    Z=              0.0102  Tot=              0.0119&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=            -38.7967   YY=            -36.1661   ZZ=            -42.0863&lt;br /&gt;
   XY=             -0.2079   XZ=              1.5997   YZ=              0.4781&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=              0.2196   YY=              2.8503   ZZ=             -3.0699&lt;br /&gt;
   XY=             -0.2079   XZ=              1.5997   YZ=              0.4781&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=             -0.1587  YYY=              0.0018  ZZZ=              0.0468  XYY=             -0.0491&lt;br /&gt;
  XXY=             -0.1527  XXZ=              0.1513  XZZ=              0.0863  YZZ=             -0.0077&lt;br /&gt;
  YYZ=             -0.0112  XYZ=              0.1942&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX=          -1011.4536 YYYY=            -94.7066 ZZZZ=            -91.0719 XXXY=             -0.9234&lt;br /&gt;
 XXXZ=             36.7039 YYYX=             -1.3669 YYYZ=              2.2824 ZZZX=              0.8720&lt;br /&gt;
 ZZZY=             -1.0713 XXYY=           -183.4805 XXZZ=           -215.8569 YYZZ=            -32.7538&lt;br /&gt;
 XXYZ=              5.7938 YYXZ=              0.3558 ZZXY=             -0.2743&lt;br /&gt;
 N-N= 2.130227722487D+02 E-N=-9.642255363127D+02  KE= 2.312782623747D+02&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6           0.000331474    0.001035154   -0.000042057&lt;br /&gt;
      2        6          -0.001195007   -0.000533198   -0.000958561&lt;br /&gt;
      3        6          -0.004146991    0.001534719   -0.001086747&lt;br /&gt;
      4        6           0.004002032   -0.000052398    0.001478385&lt;br /&gt;
      5        6           0.000825271   -0.001159603    0.000153129&lt;br /&gt;
      6        6          -0.000234832   -0.000032811    0.000026642&lt;br /&gt;
      7        1          -0.000015153   -0.001056051    0.000072013&lt;br /&gt;
      8        1           0.000000259    0.000713913   -0.000005529&lt;br /&gt;
      9        1           0.000201872    0.000508749    0.000974202&lt;br /&gt;
     10        1          -0.001183830    0.000238156    0.000689014&lt;br /&gt;
     11        1           0.000706339   -0.001634952   -0.000156646&lt;br /&gt;
     12        1           0.000407106    0.001206260   -0.000211385&lt;br /&gt;
     13        1           0.000592537   -0.000077773    0.000075754&lt;br /&gt;
     14        1          -0.000311682   -0.000738619   -0.000927050&lt;br /&gt;
     15        1           0.000017643    0.000093113   -0.000011672&lt;br /&gt;
     16        1           0.000002963   -0.000044658   -0.000069492&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.004146991 RMS     0.001084108&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.004697201 RMS     0.001113595&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   1 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- RFO/linear search&lt;br /&gt;
 Second derivative matrix not updated -- first step.&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00636   0.00636   0.01700   0.01700&lt;br /&gt;
     Eigenvalues ---    0.03195   0.03195   0.03195   0.03195   0.04113&lt;br /&gt;
     Eigenvalues ---    0.04113   0.05437   0.05437   0.09235   0.09235&lt;br /&gt;
     Eigenvalues ---    0.12776   0.12776   0.16000   0.16000   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16000   0.21992   0.21992&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22000   0.27194   0.31369   0.31369&lt;br /&gt;
     Eigenvalues ---    0.35371   0.35371   0.35446   0.35446   0.36525&lt;br /&gt;
     Eigenvalues ---    0.36525   0.36636   0.36636   0.36799   0.36799&lt;br /&gt;
     Eigenvalues ---    0.62842   0.628421000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-6.86410604D-04 EMin= 2.30000000D-03&lt;br /&gt;
 Linear search not attempted -- first point.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.02659217 RMS(Int)=  0.00045137&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00049148 RMS(Int)=  0.00006848&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000016 RMS(Int)=  0.00006848&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.48760   0.00001   0.00000   0.00002   0.00002   2.48762&lt;br /&gt;
    R2        2.03098  -0.00005   0.00000  -0.00013  -0.00013   2.03085&lt;br /&gt;
    R3        2.02850  -0.00001   0.00000  -0.00002  -0.00002   2.02848&lt;br /&gt;
    R4        2.85314  -0.00062   0.00000  -0.00196  -0.00196   2.85117&lt;br /&gt;
    R5        2.03268   0.00073   0.00000   0.00200   0.00200   2.03468&lt;br /&gt;
    R6        2.93934  -0.00150   0.00000  -0.00550  -0.00550   2.93384&lt;br /&gt;
    R7        2.04957   0.00032   0.00000   0.00089   0.00089   2.05046&lt;br /&gt;
    R8        2.05077  -0.00011   0.00000  -0.00032  -0.00032   2.05045&lt;br /&gt;
    R9        2.85314  -0.00065   0.00000  -0.00207  -0.00207   2.85107&lt;br /&gt;
   R10        2.04957   0.00038   0.00000   0.00108   0.00108   2.05065&lt;br /&gt;
   R11        2.05077  -0.00010   0.00000  -0.00028  -0.00028   2.05049&lt;br /&gt;
   R12        2.48760  -0.00003   0.00000  -0.00005  -0.00005   2.48755&lt;br /&gt;
   R13        2.03268   0.00080   0.00000   0.00220   0.00220   2.03488&lt;br /&gt;
   R14        2.02850  -0.00002   0.00000  -0.00006  -0.00006   2.02844&lt;br /&gt;
   R15        2.03098  -0.00004   0.00000  -0.00011  -0.00011   2.03087&lt;br /&gt;
    A1        2.12666  -0.00008   0.00000  -0.00051  -0.00052   2.12614&lt;br /&gt;
    A2        2.12705   0.00005   0.00000   0.00033   0.00032   2.12737&lt;br /&gt;
    A3        2.02948   0.00003   0.00000   0.00020   0.00019   2.02967&lt;br /&gt;
    A4        2.17158   0.00088   0.00000   0.00407   0.00386   2.17544&lt;br /&gt;
    A5        2.08632   0.00023   0.00000   0.00233   0.00211   2.08844&lt;br /&gt;
    A6        2.02524  -0.00111   0.00000  -0.00608  -0.00629   2.01896&lt;br /&gt;
    A7        1.96167  -0.00422   0.00000  -0.01917  -0.01919   1.94248&lt;br /&gt;
    A8        1.91009   0.00232   0.00000   0.00896   0.00877   1.91886&lt;br /&gt;
    A9        1.91744   0.00026   0.00000   0.00203   0.00213   1.91957&lt;br /&gt;
   A10        1.89841  -0.00036   0.00000  -0.01086  -0.01088   1.88753&lt;br /&gt;
   A11        1.89035   0.00311   0.00000   0.02388   0.02396   1.91431&lt;br /&gt;
   A12        1.88416  -0.00103   0.00000  -0.00443  -0.00439   1.87977&lt;br /&gt;
   A13        1.96167  -0.00470   0.00000  -0.02145  -0.02146   1.94020&lt;br /&gt;
   A14        1.89841   0.00218   0.00000   0.01607   0.01615   1.91456&lt;br /&gt;
   A15        1.89035   0.00069   0.00000  -0.00369  -0.00377   1.88658&lt;br /&gt;
   A16        1.91009   0.00139   0.00000   0.01074   0.01083   1.92093&lt;br /&gt;
   A17        1.91744   0.00165   0.00000   0.00329   0.00313   1.92057&lt;br /&gt;
   A18        1.88416  -0.00110   0.00000  -0.00445  -0.00446   1.87971&lt;br /&gt;
   A19        2.17158   0.00068   0.00000   0.00304   0.00302   2.17460&lt;br /&gt;
   A20        2.02524  -0.00091   0.00000  -0.00515  -0.00517   2.02007&lt;br /&gt;
   A21        2.08632   0.00024   0.00000   0.00200   0.00198   2.08830&lt;br /&gt;
   A22        2.12705   0.00003   0.00000   0.00021   0.00021   2.12726&lt;br /&gt;
   A23        2.12666  -0.00007   0.00000  -0.00046  -0.00046   2.12620&lt;br /&gt;
   A24        2.02947   0.00004   0.00000   0.00024   0.00024   2.02972&lt;br /&gt;
    D1        0.01767  -0.00126   0.00000  -0.04775  -0.04780  -0.03013&lt;br /&gt;
    D2       -3.13397  -0.00056   0.00000  -0.00807  -0.00802   3.14119&lt;br /&gt;
    D3       -3.12738  -0.00096   0.00000  -0.03868  -0.03873   3.11707&lt;br /&gt;
    D4        0.00416  -0.00027   0.00000   0.00100   0.00104   0.00521&lt;br /&gt;
    D5       -1.90919  -0.00090   0.00000  -0.03048  -0.03055  -1.93974&lt;br /&gt;
    D6        2.26276   0.00072   0.00000  -0.01030  -0.01030   2.25246&lt;br /&gt;
    D7        0.19693   0.00043   0.00000  -0.01150  -0.01153   0.18540&lt;br /&gt;
    D8        1.24213  -0.00159   0.00000  -0.06894  -0.06894   1.17320&lt;br /&gt;
    D9       -0.86910   0.00004   0.00000  -0.04876  -0.04869  -0.91779&lt;br /&gt;
   D10       -2.93494  -0.00025   0.00000  -0.04995  -0.04992  -2.98486&lt;br /&gt;
   D11        3.14159  -0.00027   0.00000   0.00100   0.00097  -3.14063&lt;br /&gt;
   D12       -1.02366  -0.00007   0.00000   0.01171   0.01160  -1.01206&lt;br /&gt;
   D13        1.01995   0.00019   0.00000   0.01316   0.01303   1.03298&lt;br /&gt;
   D14       -1.02366  -0.00033   0.00000  -0.00763  -0.00749  -1.03115&lt;br /&gt;
   D15        1.09427  -0.00013   0.00000   0.00309   0.00314   1.09741&lt;br /&gt;
   D16        3.13788   0.00014   0.00000   0.00454   0.00457  -3.14073&lt;br /&gt;
   D17        1.01995  -0.00003   0.00000  -0.00566  -0.00558   1.01437&lt;br /&gt;
   D18        3.13788   0.00017   0.00000   0.00506   0.00505  -3.14025&lt;br /&gt;
   D19       -1.10169   0.00043   0.00000   0.00650   0.00648  -1.09521&lt;br /&gt;
   D20        1.90918   0.00068   0.00000   0.03392   0.03391   1.94310&lt;br /&gt;
   D21       -1.22268   0.00090   0.00000   0.04656   0.04654  -1.17614&lt;br /&gt;
   D22       -0.20205   0.00005   0.00000   0.02026   0.02029  -0.18176&lt;br /&gt;
   D23        2.94927   0.00027   0.00000   0.03290   0.03291   2.98219&lt;br /&gt;
   D24       -2.26789  -0.00042   0.00000   0.01726   0.01727  -2.25062&lt;br /&gt;
   D25        0.88344  -0.00020   0.00000   0.02990   0.02989   0.91333&lt;br /&gt;
   D26       -3.12738   0.00004   0.00000   0.00409   0.00411  -3.12327&lt;br /&gt;
   D27        0.01767   0.00008   0.00000   0.00537   0.00539   0.02306&lt;br /&gt;
   D28        0.00416  -0.00020   0.00000  -0.00900  -0.00901  -0.00485&lt;br /&gt;
   D29       -3.13397  -0.00016   0.00000  -0.00772  -0.00774   3.14148&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.004697     0.000450     NO &lt;br /&gt;
 RMS     Force            0.001114     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.099034     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.026670     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-3.506360D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.080352    0.744559   -1.514173&lt;br /&gt;
      2          6           0        1.916584    0.750312   -0.208021&lt;br /&gt;
      3          6           0        0.578251    0.750113    0.488593&lt;br /&gt;
      4          6           0        0.315425    2.102018    1.205255&lt;br /&gt;
      5          6           0       -1.022829    2.098132    1.901885&lt;br /&gt;
      6          6           0       -1.185479    2.106083    3.208129&lt;br /&gt;
      7          1           0        1.245248    0.711673   -2.189788&lt;br /&gt;
      8          1           0        3.054902    0.767322   -1.963593&lt;br /&gt;
      9          1           0        2.778194    0.783423    0.436830&lt;br /&gt;
     10          1           0        0.548764   -0.038497    1.233290&lt;br /&gt;
     11          1           0       -0.212917    0.556678   -0.228325&lt;br /&gt;
     12          1           0        1.107267    2.296361    1.921344&lt;br /&gt;
     13          1           0        0.344232    2.889846    0.459682&lt;br /&gt;
     14          1           0       -1.885235    2.066406    1.257855&lt;br /&gt;
     15          1           0       -2.159726    2.086163    3.658288&lt;br /&gt;
     16          1           0       -0.349740    2.137218    3.883056&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316391   0.000000&lt;br /&gt;
     3  C    2.503479   1.508776   0.000000&lt;br /&gt;
     4  C    3.514676   2.527482   1.552523   0.000000&lt;br /&gt;
     5  C    4.809506   3.861150   2.525472   1.508719   0.000000&lt;br /&gt;
     6  C    5.900808   4.809469   3.513584   2.502845   1.316355&lt;br /&gt;
     7  H    1.074679   2.092745   2.760450   3.784699   4.879368&lt;br /&gt;
     8  H    1.073427   2.092388   3.485300   4.396333   5.774155&lt;br /&gt;
     9  H    2.072416   1.076709   2.200804   2.897309   4.280493&lt;br /&gt;
    10  H    3.241526   2.137880   1.085058   2.153378   2.735345&lt;br /&gt;
    11  H    2.635865   2.138382   1.085051   2.173101   2.751333&lt;br /&gt;
    12  H    3.893297   2.753081   2.173364   1.085157   2.139389&lt;br /&gt;
    13  H    3.393003   2.737832   2.152686   1.085073   2.139070&lt;br /&gt;
    14  H    5.015704   4.281906   2.897094   2.201576   1.076813&lt;br /&gt;
    15  H    6.821474   5.774872   4.396420   3.484823   2.092278&lt;br /&gt;
    16  H    6.080701   4.878181   3.782540   2.759403   2.092753&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.081966   0.000000&lt;br /&gt;
     8  H    6.820544   1.824584   0.000000&lt;br /&gt;
     9  H    5.014003   3.042070   2.416373   0.000000&lt;br /&gt;
    10  H    3.392169   3.572857   4.141272   2.506044   0.000000&lt;br /&gt;
    11  H    3.893038   2.449001   3.705964   3.072554   1.752344&lt;br /&gt;
    12  H    2.636040   4.408137   4.606948   2.699029   2.497380&lt;br /&gt;
    13  H    3.241645   3.546259   4.210118   3.218961   3.035704&lt;br /&gt;
    14  H    2.072391   4.849893   6.039064   4.905883   3.218007&lt;br /&gt;
    15  H    1.073405   6.905292   7.780567   6.038044   4.210785&lt;br /&gt;
    16  H    1.074689   6.438602   6.903007   4.846979   3.544334&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.064385   0.000000&lt;br /&gt;
    13  H    2.495484   1.752400   0.000000&lt;br /&gt;
    14  H    2.699010   3.073787   2.507121   0.000000&lt;br /&gt;
    15  H    4.608161   3.705995   4.140869   2.416157   0.000000&lt;br /&gt;
    16  H    4.406845   2.448778   3.573170   3.042112   1.824604&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.937811    0.238338    0.135287&lt;br /&gt;
      2          6           0        1.866339   -0.472568   -0.146572&lt;br /&gt;
      3          6           0        0.534035    0.107993   -0.551940&lt;br /&gt;
      4          6           0       -0.534728   -0.107600    0.553317&lt;br /&gt;
      5          6           0       -1.865969    0.472777    0.144423&lt;br /&gt;
      6          6           0       -2.937440   -0.238978   -0.135119&lt;br /&gt;
      7          1           0        2.940266    1.310852    0.067150&lt;br /&gt;
      8          1           0        3.858711   -0.220770    0.440916&lt;br /&gt;
      9          1           0        1.902811   -1.545704   -0.066890&lt;br /&gt;
     10          1           0        0.182532   -0.370860   -1.459957&lt;br /&gt;
     11          1           0        0.638624    1.168286   -0.757305&lt;br /&gt;
     12          1           0       -0.638543   -1.167851    0.759851&lt;br /&gt;
     13          1           0       -0.182769    0.372312    1.460617&lt;br /&gt;
     14          1           0       -1.903921    1.546041    0.065750&lt;br /&gt;
     15          1           0       -3.859496    0.219513   -0.438101&lt;br /&gt;
     16          1           0       -2.938510   -1.311593   -0.068402&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.5310531      1.3760605      1.3598119&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.3347893389 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  205 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=4687201.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692474076     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.4747D-08             -V/T =  2.0018&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6           0.000208264   -0.000440318    0.000165295&lt;br /&gt;
      2        6          -0.000073918    0.000760765   -0.000852406&lt;br /&gt;
      3        6           0.000927125   -0.001220093    0.000652856&lt;br /&gt;
      4        6          -0.000687115    0.000518202   -0.001000086&lt;br /&gt;
      5        6           0.000123282    0.000185845    0.000977503&lt;br /&gt;
      6        6          -0.000273641    0.000227049   -0.000108321&lt;br /&gt;
      7        1          -0.000029711    0.000087615    0.000009756&lt;br /&gt;
      8        1          -0.000015729   -0.000051854    0.000020009&lt;br /&gt;
      9        1          -0.000048667    0.000035603    0.000186876&lt;br /&gt;
     10        1          -0.000197369   -0.000455121   -0.000058324&lt;br /&gt;
     11        1           0.000002002    0.000664453    0.000328937&lt;br /&gt;
     12        1          -0.000177790   -0.000685673   -0.000291607&lt;br /&gt;
     13        1           0.000024056    0.000540099    0.000186276&lt;br /&gt;
     14        1           0.000199834   -0.000124075   -0.000201889&lt;br /&gt;
     15        1           0.000008218   -0.000116615    0.000006508&lt;br /&gt;
     16        1           0.000011161    0.000074117   -0.000021382&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.001220093 RMS     0.000435733&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000664445 RMS     0.000251529&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   2 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2&lt;br /&gt;
 DE= -3.27D-04 DEPred=-3.51D-04 R= 9.33D-01&lt;br /&gt;
 SS=  1.41D+00  RLast= 1.53D-01 DXNew= 5.0454D-01 4.5999D-01&lt;br /&gt;
 Trust test= 9.33D-01 RLast= 1.53D-01 DXMaxT set to 4.60D-01&lt;br /&gt;
 Use linear search instead of GDIIS.&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00562   0.00636   0.01702   0.01772&lt;br /&gt;
     Eigenvalues ---    0.03175   0.03195   0.03195   0.03236   0.04210&lt;br /&gt;
     Eigenvalues ---    0.04536   0.05449   0.05458   0.09057   0.09089&lt;br /&gt;
     Eigenvalues ---    0.12580   0.13468   0.15788   0.16000   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16001   0.21007   0.21962&lt;br /&gt;
     Eigenvalues ---    0.22001   0.23288   0.27475   0.31369   0.31493&lt;br /&gt;
     Eigenvalues ---    0.35368   0.35385   0.35433   0.35590   0.36510&lt;br /&gt;
     Eigenvalues ---    0.36538   0.36636   0.36637   0.36799   0.36799&lt;br /&gt;
     Eigenvalues ---    0.62842   0.628491000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-5.97334774D-05 EMin= 2.30116460D-03&lt;br /&gt;
 Quartic linear search produced a step of -0.04968.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.01163604 RMS(Int)=  0.00005545&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00007652 RMS(Int)=  0.00000423&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000423&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.48762  -0.00017   0.00000  -0.00026  -0.00026   2.48736&lt;br /&gt;
    R2        2.03085   0.00001   0.00001   0.00002   0.00003   2.03088&lt;br /&gt;
    R3        2.02848  -0.00002   0.00000  -0.00006  -0.00006   2.02842&lt;br /&gt;
    R4        2.85117   0.00025   0.00010   0.00051   0.00061   2.85178&lt;br /&gt;
    R5        2.03468   0.00007  -0.00010   0.00045   0.00035   2.03504&lt;br /&gt;
    R6        2.93384   0.00046   0.00027   0.00090   0.00117   2.93502&lt;br /&gt;
    R7        2.05046   0.00030  -0.00004   0.00091   0.00086   2.05133&lt;br /&gt;
    R8        2.05045  -0.00034   0.00002  -0.00095  -0.00093   2.04952&lt;br /&gt;
    R9        2.85107   0.00024   0.00010   0.00046   0.00056   2.85163&lt;br /&gt;
   R10        2.05065  -0.00044  -0.00005  -0.00105  -0.00111   2.04954&lt;br /&gt;
   R11        2.05049   0.00026   0.00001   0.00068   0.00069   2.05118&lt;br /&gt;
   R12        2.48755  -0.00009   0.00000  -0.00014  -0.00014   2.48741&lt;br /&gt;
   R13        2.03488  -0.00004  -0.00011   0.00019   0.00008   2.03496&lt;br /&gt;
   R14        2.02844   0.00000   0.00000  -0.00001  -0.00001   2.02843&lt;br /&gt;
   R15        2.03087   0.00000   0.00001  -0.00002  -0.00002   2.03085&lt;br /&gt;
    A1        2.12614  -0.00003   0.00003  -0.00023  -0.00020   2.12594&lt;br /&gt;
    A2        2.12737   0.00000  -0.00002   0.00006   0.00004   2.12741&lt;br /&gt;
    A3        2.02967   0.00002  -0.00001   0.00017   0.00016   2.02982&lt;br /&gt;
    A4        2.17544   0.00041  -0.00019   0.00229   0.00211   2.17755&lt;br /&gt;
    A5        2.08844  -0.00002  -0.00011   0.00054   0.00044   2.08888&lt;br /&gt;
    A6        2.01896  -0.00039   0.00031  -0.00273  -0.00242   2.01654&lt;br /&gt;
    A7        1.94248  -0.00002   0.00095  -0.00260  -0.00165   1.94083&lt;br /&gt;
    A8        1.91886   0.00001  -0.00044   0.00380   0.00337   1.92223&lt;br /&gt;
    A9        1.91957   0.00025  -0.00011   0.00026   0.00014   1.91970&lt;br /&gt;
   A10        1.88753   0.00031   0.00054   0.00244   0.00299   1.89051&lt;br /&gt;
   A11        1.91431  -0.00056  -0.00119  -0.00333  -0.00453   1.90978&lt;br /&gt;
   A12        1.87977   0.00001   0.00022  -0.00048  -0.00026   1.87952&lt;br /&gt;
   A13        1.94020   0.00052   0.00107  -0.00044   0.00062   1.94082&lt;br /&gt;
   A14        1.91456  -0.00066  -0.00080  -0.00426  -0.00507   1.90949&lt;br /&gt;
   A15        1.88658   0.00032   0.00019   0.00434   0.00453   1.89111&lt;br /&gt;
   A16        1.92093   0.00001  -0.00054  -0.00014  -0.00069   1.92024&lt;br /&gt;
   A17        1.92057  -0.00031  -0.00016   0.00091   0.00076   1.92133&lt;br /&gt;
   A18        1.87971   0.00011   0.00022  -0.00036  -0.00013   1.87958&lt;br /&gt;
   A19        2.17460   0.00059  -0.00015   0.00293   0.00278   2.17738&lt;br /&gt;
   A20        2.02007  -0.00058   0.00026  -0.00367  -0.00341   2.01667&lt;br /&gt;
   A21        2.08830  -0.00001  -0.00010   0.00069   0.00060   2.08890&lt;br /&gt;
   A22        2.12726   0.00003  -0.00001   0.00018   0.00017   2.12743&lt;br /&gt;
   A23        2.12620  -0.00004   0.00002  -0.00028  -0.00026   2.12594&lt;br /&gt;
   A24        2.02972   0.00001  -0.00001   0.00010   0.00009   2.02981&lt;br /&gt;
    D1       -0.03013   0.00016   0.00237   0.00078   0.00315  -0.02697&lt;br /&gt;
    D2        3.14119  -0.00001   0.00040  -0.00352  -0.00313   3.13806&lt;br /&gt;
    D3        3.11707   0.00013   0.00192   0.00101   0.00294   3.12002&lt;br /&gt;
    D4        0.00521  -0.00004  -0.00005  -0.00329  -0.00334   0.00186&lt;br /&gt;
    D5       -1.93974   0.00011   0.00152  -0.02160  -0.02008  -1.95981&lt;br /&gt;
    D6        2.25246  -0.00027   0.00051  -0.02548  -0.02497   2.22749&lt;br /&gt;
    D7        0.18540  -0.00044   0.00057  -0.02737  -0.02680   0.15860&lt;br /&gt;
    D8        1.17320   0.00027   0.00343  -0.01741  -0.01398   1.15921&lt;br /&gt;
    D9       -0.91779  -0.00010   0.00242  -0.02129  -0.01888  -0.93667&lt;br /&gt;
   D10       -2.98486  -0.00028   0.00248  -0.02318  -0.02071  -3.00556&lt;br /&gt;
   D11       -3.14063  -0.00002  -0.00005  -0.00155  -0.00160   3.14096&lt;br /&gt;
   D12       -1.01206  -0.00011  -0.00058  -0.00492  -0.00548  -1.01754&lt;br /&gt;
   D13        1.03298  -0.00017  -0.00065  -0.00522  -0.00586   1.02712&lt;br /&gt;
   D14       -1.03115   0.00018   0.00037   0.00314   0.00350  -1.02765&lt;br /&gt;
   D15        1.09741   0.00009  -0.00016  -0.00023  -0.00038   1.09703&lt;br /&gt;
   D16       -3.14073   0.00003  -0.00023  -0.00053  -0.00076  -3.14149&lt;br /&gt;
   D17        1.01437   0.00006   0.00028   0.00212   0.00239   1.01676&lt;br /&gt;
   D18       -3.14025  -0.00002  -0.00025  -0.00124  -0.00149   3.14144&lt;br /&gt;
   D19       -1.09521  -0.00008  -0.00032  -0.00155  -0.00187  -1.09708&lt;br /&gt;
   D20        1.94310  -0.00021  -0.00168   0.01794   0.01626   1.95936&lt;br /&gt;
   D21       -1.17614  -0.00021  -0.00231   0.01994   0.01763  -1.15851&lt;br /&gt;
   D22       -0.18176   0.00027  -0.00101   0.02372   0.02271  -0.15905&lt;br /&gt;
   D23        2.98219   0.00027  -0.00164   0.02572   0.02408   3.00627&lt;br /&gt;
   D24       -2.25062   0.00032  -0.00086   0.02368   0.02283  -2.22779&lt;br /&gt;
   D25        0.91333   0.00032  -0.00149   0.02568   0.02420   0.93753&lt;br /&gt;
   D26       -3.12327   0.00011  -0.00020   0.00373   0.00352  -3.11975&lt;br /&gt;
   D27        0.02306   0.00007  -0.00027   0.00280   0.00253   0.02559&lt;br /&gt;
   D28       -0.00485   0.00010   0.00045   0.00161   0.00205  -0.00280&lt;br /&gt;
   D29        3.14148   0.00006   0.00038   0.00068   0.00107  -3.14064&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000664     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000252     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.033403     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.011630     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-3.075875D-05&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.082336    0.739285   -1.518625&lt;br /&gt;
      2          6           0        1.916097    0.757270   -0.213034&lt;br /&gt;
      3          6           0        0.577707    0.751627    0.484146&lt;br /&gt;
      4          6           0        0.316859    2.099660    1.210107&lt;br /&gt;
      5          6           0       -1.021841    2.094334    1.906515&lt;br /&gt;
      6          6           0       -1.188569    2.111739    3.212078&lt;br /&gt;
      7          1           0        1.248587    0.694104   -2.195225&lt;br /&gt;
      8          1           0        3.057506    0.763985   -1.966516&lt;br /&gt;
      9          1           0        2.776231    0.799610    0.433556&lt;br /&gt;
     10          1           0        0.543499   -0.044845    1.220899&lt;br /&gt;
     11          1           0       -0.213970    0.569950   -0.234539&lt;br /&gt;
     12          1           0        1.108598    2.280995    1.928829&lt;br /&gt;
     13          1           0        0.350840    2.896503    0.473858&lt;br /&gt;
     14          1           0       -1.881669    2.051636    1.259606&lt;br /&gt;
     15          1           0       -2.163906    2.087062    3.659621&lt;br /&gt;
     16          1           0       -0.355013    2.154894    3.889027&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316254   0.000000&lt;br /&gt;
     3  C    2.505025   1.509100   0.000000&lt;br /&gt;
     4  C    3.523281   2.526837   1.553143   0.000000&lt;br /&gt;
     5  C    4.817017   3.861568   2.526767   1.509016   0.000000&lt;br /&gt;
     6  C    5.912867   4.817150   3.522960   2.504865   1.316281&lt;br /&gt;
     7  H    1.074693   2.092520   2.762683   3.799999   4.892827&lt;br /&gt;
     8  H    1.073394   2.092261   3.486445   4.402966   5.780248&lt;br /&gt;
     9  H    2.072713   1.076894   2.199630   2.888196   4.274491&lt;br /&gt;
    10  H    3.238498   2.140930   1.085515   2.156475   2.737964&lt;br /&gt;
    11  H    2.636393   2.138396   1.084558   2.169976   2.749639&lt;br /&gt;
    12  H    3.899996   2.749794   2.169775   1.084572   2.138718&lt;br /&gt;
    13  H    3.409055   2.738278   2.156865   1.085438   2.140149&lt;br /&gt;
    14  H    5.015392   4.274000   2.887886   2.199609   1.076856&lt;br /&gt;
    15  H    6.830908   5.780331   4.402666   3.486326   2.092306&lt;br /&gt;
    16  H    6.098140   4.892668   3.798992   2.762440   2.092530&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.098225   0.000000&lt;br /&gt;
     8  H    6.831064   1.824658   0.000000&lt;br /&gt;
     9  H    5.016125   3.042255   2.416760   0.000000&lt;br /&gt;
    10  H    3.408183   3.565543   4.139330   2.513585   0.000000&lt;br /&gt;
    11  H    3.899504   2.449240   3.706743   3.072523   1.752151&lt;br /&gt;
    12  H    2.636732   4.421045   4.612296   2.685394   2.496004&lt;br /&gt;
    13  H    3.237821   3.574984   4.222452   3.206416   3.040841&lt;br /&gt;
    14  H    2.072715   4.855641   6.038323   4.893461   3.205958&lt;br /&gt;
    15  H    1.073399   6.918429   7.788908   6.039038   4.221662&lt;br /&gt;
    16  H    1.074680   6.459378   6.918620   4.856106   3.572825&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.058925   0.000000&lt;br /&gt;
    13  H    2.496735   1.752138   0.000000&lt;br /&gt;
    14  H    2.684973   3.072810   2.513025   0.000000&lt;br /&gt;
    15  H    4.611764   3.707093   4.138627   2.416814   0.000000&lt;br /&gt;
    16  H    4.419925   2.449579   3.565332   3.042236   1.824643&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.944038    0.231866    0.139671&lt;br /&gt;
      2          6           0        1.867395   -0.465743   -0.154790&lt;br /&gt;
      3          6           0        0.536829    0.129262   -0.545868&lt;br /&gt;
      4          6           0       -0.536998   -0.129876    0.545919&lt;br /&gt;
      5          6           0       -1.867267    0.465857    0.155257&lt;br /&gt;
      6          6           0       -2.944026   -0.231355   -0.139841&lt;br /&gt;
      7          1           0        2.952592    1.305656    0.096473&lt;br /&gt;
      8          1           0        3.863108   -0.239715    0.431385&lt;br /&gt;
      9          1           0        1.897987   -1.540966   -0.103195&lt;br /&gt;
     10          1           0        0.190230   -0.309566   -1.476267&lt;br /&gt;
     11          1           0        0.640277    1.197280   -0.703671&lt;br /&gt;
     12          1           0       -0.640340   -1.197966    0.703397&lt;br /&gt;
     13          1           0       -0.191014    0.308807    1.476525&lt;br /&gt;
     14          1           0       -1.897335    1.541045    0.103443&lt;br /&gt;
     15          1           0       -3.862944    0.240575   -0.431486&lt;br /&gt;
     16          1           0       -2.952391   -1.305215   -0.098697&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.6436270      1.3718061      1.3556439&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.2431049092 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  205 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=4687201.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692513621     A.U. after   10 cycles&lt;br /&gt;
             Convg  =    0.9482D-08             -V/T =  2.0018&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.000031253   -0.000280625    0.000095850&lt;br /&gt;
      2        6          -0.000002938   -0.000092396   -0.000065428&lt;br /&gt;
      3        6           0.000242001   -0.000045122   -0.000120764&lt;br /&gt;
      4        6          -0.000276729    0.000072054    0.000056121&lt;br /&gt;
      5        6           0.000035899   -0.000044732    0.000248288&lt;br /&gt;
      6        6           0.000001917    0.000163956   -0.000120616&lt;br /&gt;
      7        1          -0.000002530    0.000136046   -0.000003240&lt;br /&gt;
      8        1          -0.000000404   -0.000046424    0.000035346&lt;br /&gt;
      9        1          -0.000013590    0.000183288   -0.000005337&lt;br /&gt;
     10        1           0.000155466    0.000040819   -0.000132115&lt;br /&gt;
     11        1          -0.000111071    0.000127512   -0.000104526&lt;br /&gt;
     12        1           0.000056869   -0.000105766    0.000130736&lt;br /&gt;
     13        1          -0.000062197   -0.000044550    0.000040408&lt;br /&gt;
     14        1           0.000001465   -0.000085508   -0.000022222&lt;br /&gt;
     15        1           0.000001096    0.000054705   -0.000036801&lt;br /&gt;
     16        1           0.000005999   -0.000033257    0.000004300&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000280625 RMS     0.000107924&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000355172 RMS     0.000099650&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   3 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3&lt;br /&gt;
 DE= -3.95D-05 DEPred=-3.08D-05 R= 1.29D+00&lt;br /&gt;
 SS=  1.41D+00  RLast= 7.61D-02 DXNew= 7.7361D-01 2.2818D-01&lt;br /&gt;
 Trust test= 1.29D+00 RLast= 7.61D-02 DXMaxT set to 4.60D-01&lt;br /&gt;
     Eigenvalues ---    0.00230   0.00291   0.00636   0.01729   0.01767&lt;br /&gt;
     Eigenvalues ---    0.03193   0.03195   0.03226   0.03290   0.04216&lt;br /&gt;
     Eigenvalues ---    0.05027   0.05451   0.05527   0.09064   0.09212&lt;br /&gt;
     Eigenvalues ---    0.12736   0.13709   0.15919   0.15998   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16130   0.21864   0.22000&lt;br /&gt;
     Eigenvalues ---    0.22308   0.23453   0.27290   0.31370   0.31591&lt;br /&gt;
     Eigenvalues ---    0.35371   0.35400   0.35451   0.36481   0.36510&lt;br /&gt;
     Eigenvalues ---    0.36634   0.36636   0.36785   0.36799   0.36921&lt;br /&gt;
     Eigenvalues ---    0.62799   0.628581000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     3    2&lt;br /&gt;
 RFO step:  Lambda=-2.73919850D-06.&lt;br /&gt;
 DIIS coeffs:      1.40653     -0.40653&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.01496441 RMS(Int)=  0.00007564&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00010623 RMS(Int)=  0.00000153&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000153&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.48736  -0.00013  -0.00010  -0.00028  -0.00038   2.48698&lt;br /&gt;
    R2        2.03088   0.00000   0.00001  -0.00001   0.00000   2.03087&lt;br /&gt;
    R3        2.02842  -0.00002  -0.00003  -0.00006  -0.00009   2.02833&lt;br /&gt;
    R4        2.85178  -0.00007   0.00025  -0.00046  -0.00021   2.85158&lt;br /&gt;
    R5        2.03504  -0.00001   0.00014   0.00006   0.00021   2.03524&lt;br /&gt;
    R6        2.93502   0.00016   0.00048   0.00049   0.00097   2.93599&lt;br /&gt;
    R7        2.05133  -0.00012   0.00035  -0.00049  -0.00014   2.05119&lt;br /&gt;
    R8        2.04952   0.00013  -0.00038   0.00054   0.00017   2.04968&lt;br /&gt;
    R9        2.85163  -0.00001   0.00023  -0.00017   0.00006   2.85169&lt;br /&gt;
   R10        2.04954   0.00011  -0.00045   0.00055   0.00010   2.04964&lt;br /&gt;
   R11        2.05118  -0.00006   0.00028  -0.00030  -0.00002   2.05117&lt;br /&gt;
   R12        2.48741  -0.00015  -0.00006  -0.00034  -0.00039   2.48702&lt;br /&gt;
   R13        2.03496   0.00002   0.00003   0.00017   0.00021   2.03517&lt;br /&gt;
   R14        2.02843  -0.00002   0.00000  -0.00007  -0.00008   2.02835&lt;br /&gt;
   R15        2.03085   0.00001  -0.00001   0.00002   0.00001   2.03086&lt;br /&gt;
    A1        2.12594   0.00002  -0.00008   0.00020   0.00012   2.12606&lt;br /&gt;
    A2        2.12741  -0.00004   0.00002  -0.00036  -0.00035   2.12706&lt;br /&gt;
    A3        2.02982   0.00002   0.00006   0.00018   0.00024   2.03006&lt;br /&gt;
    A4        2.17755   0.00001   0.00086   0.00020   0.00105   2.17860&lt;br /&gt;
    A5        2.08888   0.00000   0.00018   0.00010   0.00028   2.08916&lt;br /&gt;
    A6        2.01654  -0.00001  -0.00098  -0.00031  -0.00129   2.01525&lt;br /&gt;
    A7        1.94083   0.00036  -0.00067   0.00126   0.00059   1.94141&lt;br /&gt;
    A8        1.92223  -0.00022   0.00137  -0.00242  -0.00105   1.92119&lt;br /&gt;
    A9        1.91970  -0.00005   0.00006   0.00047   0.00052   1.92023&lt;br /&gt;
   A10        1.89051  -0.00005   0.00121  -0.00115   0.00007   1.89058&lt;br /&gt;
   A11        1.90978  -0.00014  -0.00184   0.00099  -0.00085   1.90893&lt;br /&gt;
   A12        1.87952   0.00011  -0.00010   0.00082   0.00071   1.88023&lt;br /&gt;
   A13        1.94082   0.00035   0.00025   0.00106   0.00131   1.94213&lt;br /&gt;
   A14        1.90949  -0.00009  -0.00206   0.00093  -0.00113   1.90837&lt;br /&gt;
   A15        1.89111  -0.00014   0.00184  -0.00165   0.00019   1.89131&lt;br /&gt;
   A16        1.92024  -0.00012  -0.00028   0.00002  -0.00026   1.91998&lt;br /&gt;
   A17        1.92133  -0.00012   0.00031  -0.00107  -0.00076   1.92057&lt;br /&gt;
   A18        1.87958   0.00010  -0.00005   0.00068   0.00063   1.88021&lt;br /&gt;
   A19        2.17738   0.00007   0.00113   0.00051   0.00163   2.17901&lt;br /&gt;
   A20        2.01667  -0.00005  -0.00139  -0.00049  -0.00188   2.01479&lt;br /&gt;
   A21        2.08890  -0.00001   0.00024   0.00008   0.00032   2.08922&lt;br /&gt;
   A22        2.12743  -0.00004   0.00007  -0.00037  -0.00030   2.12713&lt;br /&gt;
   A23        2.12594   0.00002  -0.00011   0.00017   0.00007   2.12600&lt;br /&gt;
   A24        2.02981   0.00002   0.00004   0.00020   0.00023   2.03004&lt;br /&gt;
    D1       -0.02697   0.00013   0.00128   0.00358   0.00487  -0.02210&lt;br /&gt;
    D2        3.13806   0.00010  -0.00127   0.00391   0.00264   3.14070&lt;br /&gt;
    D3        3.12002   0.00005   0.00120   0.00065   0.00185   3.12186&lt;br /&gt;
    D4        0.00186   0.00003  -0.00136   0.00098  -0.00038   0.00148&lt;br /&gt;
    D5       -1.95981  -0.00009  -0.00816  -0.01994  -0.02810  -1.98791&lt;br /&gt;
    D6        2.22749  -0.00011  -0.01015  -0.01773  -0.02788   2.19962&lt;br /&gt;
    D7        0.15860  -0.00007  -0.01089  -0.01754  -0.02843   0.13017&lt;br /&gt;
    D8        1.15921  -0.00007  -0.00569  -0.02025  -0.02594   1.13327&lt;br /&gt;
    D9       -0.93667  -0.00009  -0.00767  -0.01804  -0.02571  -0.96238&lt;br /&gt;
   D10       -3.00556  -0.00005  -0.00842  -0.01785  -0.02627  -3.03183&lt;br /&gt;
   D11        3.14096   0.00004  -0.00065   0.00139   0.00074  -3.14148&lt;br /&gt;
   D12       -1.01754   0.00006  -0.00223   0.00273   0.00051  -1.01704&lt;br /&gt;
   D13        1.02712   0.00006  -0.00238   0.00313   0.00075   1.02787&lt;br /&gt;
   D14       -1.02765  -0.00005   0.00142  -0.00157  -0.00015  -1.02780&lt;br /&gt;
   D15        1.09703  -0.00003  -0.00016  -0.00023  -0.00038   1.09665&lt;br /&gt;
   D16       -3.14149  -0.00003  -0.00031   0.00017  -0.00014   3.14155&lt;br /&gt;
   D17        1.01676  -0.00003   0.00097  -0.00070   0.00027   1.01703&lt;br /&gt;
   D18        3.14144  -0.00001  -0.00061   0.00065   0.00004   3.14148&lt;br /&gt;
   D19       -1.09708  -0.00001  -0.00076   0.00104   0.00028  -1.09680&lt;br /&gt;
   D20        1.95936   0.00013   0.00661   0.02172   0.02833   1.98768&lt;br /&gt;
   D21       -1.15851   0.00007   0.00717   0.01718   0.02435  -1.13416&lt;br /&gt;
   D22       -0.15905   0.00009   0.00923   0.01983   0.02906  -0.12999&lt;br /&gt;
   D23        3.00627   0.00002   0.00979   0.01529   0.02508   3.03135&lt;br /&gt;
   D24       -2.22779   0.00011   0.00928   0.01963   0.02891  -2.19888&lt;br /&gt;
   D25        0.93753   0.00005   0.00984   0.01510   0.02494   0.96246&lt;br /&gt;
   D26       -3.11975  -0.00008   0.00143  -0.00473  -0.00330  -3.12305&lt;br /&gt;
   D27        0.02559  -0.00006   0.00103  -0.00379  -0.00276   0.02284&lt;br /&gt;
   D28       -0.00280  -0.00002   0.00084  -0.00003   0.00081  -0.00199&lt;br /&gt;
   D29       -3.14064   0.00000   0.00043   0.00092   0.00135  -3.13929&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000355     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000100     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.040712     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.014955     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.459196D-05&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.085974    0.731697   -1.523901&lt;br /&gt;
      2          6           0        1.915609    0.764295   -0.219330&lt;br /&gt;
      3          6           0        0.576027    0.754986    0.475279&lt;br /&gt;
      4          6           0        0.318022    2.094928    1.218137&lt;br /&gt;
      5          6           0       -1.021364    2.086563    1.913263&lt;br /&gt;
      6          6           0       -1.191777    2.119418    3.217842&lt;br /&gt;
      7          1           0        1.254627    0.674899   -2.202574&lt;br /&gt;
      8          1           0        3.062425    0.758183   -1.968780&lt;br /&gt;
      9          1           0        2.773330    0.820487    0.429588&lt;br /&gt;
     10          1           0        0.538616   -0.050621    1.201763&lt;br /&gt;
     11          1           0       -0.215484    0.585670   -0.246732&lt;br /&gt;
     12          1           0        1.109719    2.263660    1.940049&lt;br /&gt;
     13          1           0        0.355327    2.901055    0.492239&lt;br /&gt;
     14          1           0       -1.879047    2.031472    1.264265&lt;br /&gt;
     15          1           0       -2.168288    2.094683    3.662717&lt;br /&gt;
     16          1           0       -0.360424    2.176438    3.896483&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316051   0.000000&lt;br /&gt;
     3  C    2.505434   1.508989   0.000000&lt;br /&gt;
     4  C    3.535933   2.527682   1.553657   0.000000&lt;br /&gt;
     5  C    4.827556   3.862920   2.528350   1.509047   0.000000&lt;br /&gt;
     6  C    5.929042   4.827665   3.536730   2.505776   1.316073&lt;br /&gt;
     7  H    1.074691   2.092401   2.763658   3.820337   4.910503&lt;br /&gt;
     8  H    1.073348   2.091841   3.486489   4.413057   5.788970&lt;br /&gt;
     9  H    2.072790   1.077004   2.198753   2.876551   4.266607&lt;br /&gt;
    10  H    3.230415   2.140024   1.085440   2.156922   2.739950&lt;br /&gt;
    11  H    2.636131   2.138741   1.084646   2.169869   2.750945&lt;br /&gt;
    12  H    3.911384   2.749631   2.169441   1.084625   2.138596&lt;br /&gt;
    13  H    3.430170   2.739808   2.157454   1.085430   2.139622&lt;br /&gt;
    14  H    5.018433   4.266873   2.877378   2.198469   1.076965&lt;br /&gt;
    15  H    6.845251   5.789510   4.414273   3.486790   2.091911&lt;br /&gt;
    16  H    6.119861   4.910640   3.821270   2.764140   2.092386&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.119839   0.000000&lt;br /&gt;
     8  H    6.844869   1.824754   0.000000&lt;br /&gt;
     9  H    5.018331   3.042355   2.416532   0.000000&lt;br /&gt;
    10  H    3.430438   3.553668   4.132326   2.519728   0.000000&lt;br /&gt;
    11  H    3.912647   2.448367   3.706736   3.073362   1.752618&lt;br /&gt;
    12  H    2.636369   4.439198   4.621522   2.670551   2.495420&lt;br /&gt;
    13  H    3.230077   3.609228   4.239917   3.190520   3.041284&lt;br /&gt;
    14  H    2.072809   4.866125   6.040860   4.879321   3.191256&lt;br /&gt;
    15  H    1.073359   6.937850   7.801304   6.041215   4.240985&lt;br /&gt;
    16  H    1.074687   6.485484   6.937482   4.866043   3.609651&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.058402   0.000000&lt;br /&gt;
    13  H    2.496580   1.752578   0.000000&lt;br /&gt;
    14  H    2.672246   3.072998   2.518854   0.000000&lt;br /&gt;
    15  H    4.623240   3.706948   4.131682   2.416656   0.000000&lt;br /&gt;
    16  H    4.440471   2.448788   3.553343   3.042335   1.824747&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.952509   -0.222282   -0.145144&lt;br /&gt;
      2          6           0        1.869194    0.457140    0.165992&lt;br /&gt;
      3          6           0        0.541776   -0.158828    0.534222&lt;br /&gt;
      4          6           0       -0.541347    0.158481   -0.533491&lt;br /&gt;
      5          6           0       -1.869294   -0.456971   -0.166069&lt;br /&gt;
      6          6           0       -2.952716    0.222429    0.144830&lt;br /&gt;
      7          1           0        2.968775   -1.296829   -0.138409&lt;br /&gt;
      8          1           0        3.868881    0.265754   -0.417466&lt;br /&gt;
      9          1           0        1.891248    1.533781    0.148842&lt;br /&gt;
     10          1           0        0.203127    0.229348    1.489638&lt;br /&gt;
     11          1           0        0.645853   -1.233969    0.632685&lt;br /&gt;
     12          1           0       -0.645075    1.233682   -0.631444&lt;br /&gt;
     13          1           0       -0.203344   -0.229390   -1.489247&lt;br /&gt;
     14          1           0       -1.891573   -1.533585   -0.149999&lt;br /&gt;
     15          1           0       -3.869609   -0.265582    0.415481&lt;br /&gt;
     16          1           0       -2.969017    1.296970    0.137874&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.8172240      1.3662254      1.3495328&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.1346557512 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 0.00D+00&lt;br /&gt;
 HarFok:  IExCor=  205 AccDes= 0.00D+00 IRadAn=         1 IDoV= 1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 FoFCou: FMM=F IPFlag=           0 FMFlag=      100000 FMFlg1=           0&lt;br /&gt;
         NFxFlg=           0 DoJE=T BraDBF=F KetDBF=T FulRan=T&lt;br /&gt;
         Omega=  0.000000  0.000000  1.000000  0.000000  0.000000 ICntrl=     500 IOpCl=  0&lt;br /&gt;
         NMat0=    1 NMatS0=    1 NMatT0=    0 NMatD0=    1 NMtDS0=    0 NMtDT0=    0&lt;br /&gt;
         I1Cent=           4 NGrid=           0.&lt;br /&gt;
 Petite list used in FoFCou.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=4687201.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692531752     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.7175D-08             -V/T =  2.0018&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.000053829    0.000029916   -0.000103399&lt;br /&gt;
      2        6          -0.000036873   -0.000096369    0.000271490&lt;br /&gt;
      3        6          -0.000012197    0.000420250   -0.000033711&lt;br /&gt;
      4        6          -0.000041342   -0.000338305    0.000168549&lt;br /&gt;
      5        6           0.000020804    0.000032113   -0.000323888&lt;br /&gt;
      6        6           0.000091948    0.000118904    0.000063819&lt;br /&gt;
      7        1           0.000023094    0.000023369    0.000000203&lt;br /&gt;
      8        1           0.000018704   -0.000095645   -0.000008168&lt;br /&gt;
      9        1          -0.000001238    0.000050279   -0.000091144&lt;br /&gt;
     10        1           0.000088768   -0.000031674   -0.000032791&lt;br /&gt;
     11        1          -0.000001476   -0.000034929   -0.000096262&lt;br /&gt;
     12        1           0.000025109    0.000066453    0.000106679&lt;br /&gt;
     13        1          -0.000043544   -0.000013075   -0.000024064&lt;br /&gt;
     14        1          -0.000051232   -0.000086739    0.000099909&lt;br /&gt;
     15        1          -0.000010730    0.000046855   -0.000005247&lt;br /&gt;
     16        1          -0.000015967   -0.000091403    0.000008023&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000420250 RMS     0.000116053&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000269378 RMS     0.000076196&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   4 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3    4&lt;br /&gt;
 DE= -1.81D-05 DEPred=-1.46D-05 R= 1.24D+00&lt;br /&gt;
 SS=  1.41D+00  RLast= 9.38D-02 DXNew= 7.7361D-01 2.8143D-01&lt;br /&gt;
 Trust test= 1.24D+00 RLast= 9.38D-02 DXMaxT set to 4.60D-01&lt;br /&gt;
     Eigenvalues ---    0.00215   0.00230   0.00636   0.01723   0.01775&lt;br /&gt;
     Eigenvalues ---    0.03194   0.03223   0.03253   0.03288   0.04225&lt;br /&gt;
     Eigenvalues ---    0.05078   0.05452   0.05530   0.09084   0.09308&lt;br /&gt;
     Eigenvalues ---    0.12725   0.13822   0.15992   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16009   0.16486   0.21920   0.22014&lt;br /&gt;
     Eigenvalues ---    0.22482   0.23900   0.27839   0.31382   0.31770&lt;br /&gt;
     Eigenvalues ---    0.35374   0.35400   0.35478   0.36489   0.36538&lt;br /&gt;
     Eigenvalues ---    0.36634   0.36639   0.36797   0.36805   0.37166&lt;br /&gt;
     Eigenvalues ---    0.62854   0.630851000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     4    3    2&lt;br /&gt;
 RFO step:  Lambda=-1.02549477D-06.&lt;br /&gt;
 DIIS coeffs:      1.40036     -0.50199      0.10162&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00652692 RMS(Int)=  0.00001411&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00002090 RMS(Int)=  0.00000056&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000056&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.48698   0.00011  -0.00013   0.00028   0.00015   2.48713&lt;br /&gt;
    R2        2.03087  -0.00002   0.00000  -0.00006  -0.00007   2.03080&lt;br /&gt;
    R3        2.02833   0.00002  -0.00003   0.00007   0.00005   2.02838&lt;br /&gt;
    R4        2.85158  -0.00008  -0.00015  -0.00012  -0.00026   2.85131&lt;br /&gt;
    R5        2.03524  -0.00005   0.00005  -0.00014  -0.00009   2.03515&lt;br /&gt;
    R6        2.93599  -0.00018   0.00027  -0.00092  -0.00065   2.93533&lt;br /&gt;
    R7        2.05119   0.00000  -0.00014   0.00030   0.00015   2.05134&lt;br /&gt;
    R8        2.04968   0.00007   0.00016  -0.00005   0.00011   2.04979&lt;br /&gt;
    R9        2.85169  -0.00010  -0.00003  -0.00033  -0.00036   2.85132&lt;br /&gt;
   R10        2.04964   0.00010   0.00015   0.00004   0.00020   2.04984&lt;br /&gt;
   R11        2.05117   0.00000  -0.00008   0.00022   0.00014   2.05131&lt;br /&gt;
   R12        2.48702   0.00006  -0.00014   0.00021   0.00007   2.48708&lt;br /&gt;
   R13        2.03517  -0.00001   0.00007  -0.00007   0.00000   2.03517&lt;br /&gt;
   R14        2.02835   0.00001  -0.00003   0.00004   0.00001   2.02837&lt;br /&gt;
   R15        2.03086  -0.00001   0.00001  -0.00005  -0.00005   2.03082&lt;br /&gt;
    A1        2.12606   0.00002   0.00007   0.00004   0.00011   2.12617&lt;br /&gt;
    A2        2.12706   0.00000  -0.00014   0.00008  -0.00006   2.12700&lt;br /&gt;
    A3        2.03006  -0.00001   0.00008  -0.00013  -0.00005   2.03001&lt;br /&gt;
    A4        2.17860  -0.00008   0.00021  -0.00015   0.00006   2.17866&lt;br /&gt;
    A5        2.08916  -0.00003   0.00007  -0.00030  -0.00023   2.08893&lt;br /&gt;
    A6        2.01525   0.00011  -0.00027   0.00050   0.00022   2.01547&lt;br /&gt;
    A7        1.94141   0.00027   0.00040   0.00084   0.00125   1.94266&lt;br /&gt;
    A8        1.92119  -0.00014  -0.00076  -0.00035  -0.00112   1.92007&lt;br /&gt;
    A9        1.92023  -0.00012   0.00020  -0.00085  -0.00066   1.91957&lt;br /&gt;
   A10        1.89058  -0.00005  -0.00028   0.00053   0.00026   1.89084&lt;br /&gt;
   A11        1.90893  -0.00001   0.00012   0.00009   0.00021   1.90914&lt;br /&gt;
   A12        1.88023   0.00005   0.00031  -0.00027   0.00004   1.88027&lt;br /&gt;
   A13        1.94213   0.00014   0.00046   0.00040   0.00086   1.94299&lt;br /&gt;
   A14        1.90837   0.00006   0.00006   0.00057   0.00063   1.90899&lt;br /&gt;
   A15        1.89131  -0.00009  -0.00038   0.00005  -0.00033   1.89098&lt;br /&gt;
   A16        1.91998  -0.00009  -0.00004  -0.00027  -0.00030   1.91968&lt;br /&gt;
   A17        1.92057  -0.00005  -0.00038  -0.00058  -0.00096   1.91960&lt;br /&gt;
   A18        1.88021   0.00003   0.00027  -0.00017   0.00009   1.88030&lt;br /&gt;
   A19        2.17901  -0.00017   0.00037  -0.00069  -0.00032   2.17869&lt;br /&gt;
   A20        2.01479   0.00020  -0.00041   0.00101   0.00060   2.01539&lt;br /&gt;
   A21        2.08922  -0.00003   0.00007  -0.00033  -0.00026   2.08895&lt;br /&gt;
   A22        2.12713  -0.00002  -0.00014  -0.00003  -0.00017   2.12696&lt;br /&gt;
   A23        2.12600   0.00003   0.00005   0.00013   0.00019   2.12619&lt;br /&gt;
   A24        2.03004  -0.00001   0.00008  -0.00010  -0.00001   2.03003&lt;br /&gt;
    D1       -0.02210   0.00003   0.00163   0.00077   0.00240  -0.01971&lt;br /&gt;
    D2        3.14070   0.00000   0.00137  -0.00212  -0.00075   3.13995&lt;br /&gt;
    D3        3.12186   0.00010   0.00044   0.00444   0.00488   3.12675&lt;br /&gt;
    D4        0.00148   0.00007   0.00019   0.00155   0.00174   0.00322&lt;br /&gt;
    D5       -1.98791  -0.00006  -0.00921  -0.00377  -0.01298  -2.00089&lt;br /&gt;
    D6        2.19962  -0.00008  -0.00862  -0.00474  -0.01337   2.18625&lt;br /&gt;
    D7        0.13017   0.00003  -0.00866  -0.00367  -0.01233   0.11784&lt;br /&gt;
    D8        1.13327  -0.00003  -0.00896  -0.00100  -0.00996   1.12332&lt;br /&gt;
    D9       -0.96238  -0.00005  -0.00838  -0.00197  -0.01035  -0.97273&lt;br /&gt;
   D10       -3.03183   0.00006  -0.00841  -0.00090  -0.00931  -3.04114&lt;br /&gt;
   D11       -3.14148   0.00000   0.00046  -0.00101  -0.00055   3.14116&lt;br /&gt;
   D12       -1.01704   0.00002   0.00076  -0.00070   0.00006  -1.01698&lt;br /&gt;
   D13        1.02787   0.00004   0.00089  -0.00056   0.00033   1.02820&lt;br /&gt;
   D14       -1.02780  -0.00004  -0.00041  -0.00057  -0.00099  -1.02879&lt;br /&gt;
   D15        1.09665  -0.00002  -0.00011  -0.00027  -0.00038   1.09626&lt;br /&gt;
   D16        3.14155   0.00000   0.00002  -0.00013  -0.00011   3.14144&lt;br /&gt;
   D17        1.01703  -0.00002  -0.00013  -0.00055  -0.00068   1.01635&lt;br /&gt;
   D18        3.14148   0.00000   0.00017  -0.00024  -0.00007   3.14141&lt;br /&gt;
   D19       -1.09680   0.00002   0.00030  -0.00011   0.00020  -1.09661&lt;br /&gt;
   D20        1.98768   0.00008   0.00969   0.00285   0.01254   2.00022&lt;br /&gt;
   D21       -1.13416   0.00007   0.00796   0.00380   0.01176  -1.12240&lt;br /&gt;
   D22       -0.12999  -0.00003   0.00933   0.00205   0.01138  -0.11861&lt;br /&gt;
   D23        3.03135  -0.00004   0.00759   0.00300   0.01060   3.04195&lt;br /&gt;
   D24       -2.19888   0.00003   0.00926   0.00279   0.01204  -2.18684&lt;br /&gt;
   D25        0.96246   0.00002   0.00752   0.00374   0.01126   0.97372&lt;br /&gt;
   D26       -3.12305  -0.00005  -0.00168  -0.00009  -0.00177  -3.12482&lt;br /&gt;
   D27        0.02284  -0.00008  -0.00136  -0.00212  -0.00348   0.01935&lt;br /&gt;
   D28       -0.00199  -0.00003   0.00011  -0.00106  -0.00095  -0.00294&lt;br /&gt;
   D29       -3.13929  -0.00007   0.00043  -0.00309  -0.00266   3.14123&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000269     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000076     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.017515     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.006525     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.828990D-06&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.087230    0.728648   -1.526308&lt;br /&gt;
      2          6           0        1.915812    0.768445   -0.221993&lt;br /&gt;
      3          6           0        0.575959    0.757882    0.471773&lt;br /&gt;
      4          6           0        0.318428    2.093268    1.222237&lt;br /&gt;
      5          6           0       -1.021608    2.083397    1.915671&lt;br /&gt;
      6          6           0       -1.193356    2.122642    3.219933&lt;br /&gt;
      7          1           0        1.256597    0.666544   -2.205333&lt;br /&gt;
      8          1           0        3.064114    0.751982   -1.970472&lt;br /&gt;
      9          1           0        2.773090    0.829118    0.427028&lt;br /&gt;
     10          1           0        0.537606   -0.052238    1.193293&lt;br /&gt;
     11          1           0       -0.214983    0.593328   -0.252047&lt;br /&gt;
     12          1           0        1.109355    2.257598    1.946162&lt;br /&gt;
     13          1           0        0.356908    2.903492    0.500864&lt;br /&gt;
     14          1           0       -1.878678    2.022203    1.266406&lt;br /&gt;
     15          1           0       -2.170322    2.098087    3.663836&lt;br /&gt;
     16          1           0       -0.362860    2.183413    3.899257&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316133   0.000000&lt;br /&gt;
     3  C    2.505419   1.508851   0.000000&lt;br /&gt;
     4  C    3.541941   2.528357   1.553311   0.000000&lt;br /&gt;
     5  C    4.831918   3.863566   2.528646   1.508855   0.000000&lt;br /&gt;
     6  C    5.935678   4.831939   3.541953   2.505423   1.316107&lt;br /&gt;
     7  H    1.074655   2.092507   2.763784   3.829351   4.917352&lt;br /&gt;
     8  H    1.073373   2.091901   3.486476   4.419415   5.793781&lt;br /&gt;
     9  H    2.072684   1.076956   2.198741   2.873290   4.264857&lt;br /&gt;
    10  H    3.226043   2.139161   1.085521   2.156866   2.741152&lt;br /&gt;
    11  H    2.634813   2.138191   1.084704   2.169760   2.751354&lt;br /&gt;
    12  H    3.918160   2.751153   2.169673   1.084729   2.138289&lt;br /&gt;
    13  H    3.439969   2.740644   2.156959   1.085505   2.138817&lt;br /&gt;
    14  H    5.020057   4.264435   2.873185   2.198699   1.076967&lt;br /&gt;
    15  H    6.851256   5.793454   4.418990   3.486447   2.091852&lt;br /&gt;
    16  H    6.128299   4.917234   3.828991   2.763823   2.092503&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.128295   0.000000&lt;br /&gt;
     8  H    6.851647   1.824713   0.000000&lt;br /&gt;
     9  H    5.020579   3.042286   2.416330   0.000000&lt;br /&gt;
    10  H    3.440000   3.547429   4.127884   2.522170   0.000000&lt;br /&gt;
    11  H    3.917992   2.446678   3.705488   3.073324   1.752756&lt;br /&gt;
    12  H    2.634992   4.448375   4.629037   2.667646   2.495806&lt;br /&gt;
    13  H    3.225892   3.624483   4.250349   3.185344   3.041126&lt;br /&gt;
    14  H    2.072685   4.870393   6.043347   4.875137   3.185448&lt;br /&gt;
    15  H    1.073366   6.945518   7.807481   6.043553   4.249747&lt;br /&gt;
    16  H    1.074661   6.495348   6.945997   4.870798   3.623702&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.058723   0.000000&lt;br /&gt;
    13  H    2.496156   1.752782   0.000000&lt;br /&gt;
    14  H    2.667445   3.073406   2.522017   0.000000&lt;br /&gt;
    15  H    4.628368   3.705689   4.127949   2.416296   0.000000&lt;br /&gt;
    16  H    4.447872   2.446938   3.547627   3.042301   1.824725&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0       -2.956089    0.219054   -0.146641&lt;br /&gt;
      2          6           0       -1.870003   -0.454007    0.168974&lt;br /&gt;
      3          6           0       -0.543737    0.169457    0.528063&lt;br /&gt;
      4          6           0        0.543738   -0.169773   -0.527918&lt;br /&gt;
      5          6           0        1.870060    0.453998   -0.169553&lt;br /&gt;
      6          6           0        2.956153   -0.218739    0.146620&lt;br /&gt;
      7          1           0       -2.975069    1.293523   -0.152824&lt;br /&gt;
      8          1           0       -3.872802   -0.274489   -0.407755&lt;br /&gt;
      9          1           0       -1.889920   -1.530773    0.165468&lt;br /&gt;
     10          1           0       -0.209359   -0.198584    1.492995&lt;br /&gt;
     11          1           0       -0.648725    1.246423    0.603577&lt;br /&gt;
     12          1           0        0.648751   -1.246780   -0.603187&lt;br /&gt;
     13          1           0        0.209422    0.198071   -1.492928&lt;br /&gt;
     14          1           0        1.889525    1.530782   -0.165636&lt;br /&gt;
     15          1           0        3.872381    0.275101    0.408849&lt;br /&gt;
     16          1           0        2.975068   -1.293207    0.154174&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.8980944      1.3640107      1.3468721&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.0959761374 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=4687201.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692534898     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.4062D-08             -V/T =  2.0018&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.000019603   -0.000105479    0.000001121&lt;br /&gt;
      2        6           0.000034887   -0.000143282    0.000090319&lt;br /&gt;
      3        6          -0.000038423    0.000313588    0.000003642&lt;br /&gt;
      4        6           0.000003008   -0.000202609    0.000012285&lt;br /&gt;
      5        6          -0.000014434   -0.000034563   -0.000109873&lt;br /&gt;
      6        6           0.000021664   -0.000050356    0.000036707&lt;br /&gt;
      7        1          -0.000000057    0.000052038   -0.000006553&lt;br /&gt;
      8        1          -0.000001545    0.000044975   -0.000000851&lt;br /&gt;
      9        1           0.000017194    0.000042975   -0.000043727&lt;br /&gt;
     10        1           0.000036887   -0.000013339   -0.000016562&lt;br /&gt;
     11        1          -0.000015950   -0.000039600   -0.000029439&lt;br /&gt;
     12        1          -0.000006984    0.000048512    0.000024131&lt;br /&gt;
     13        1           0.000012550    0.000006197   -0.000015085&lt;br /&gt;
     14        1          -0.000017230    0.000026274    0.000048173&lt;br /&gt;
     15        1          -0.000004909    0.000033171    0.000005642&lt;br /&gt;
     16        1          -0.000007054    0.000021499    0.000000072&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000313588 RMS     0.000068007&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000127355 RMS     0.000036293&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   5 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3    4    5&lt;br /&gt;
 DE= -3.15D-06 DEPred=-2.83D-06 R= 1.11D+00&lt;br /&gt;
 SS=  1.41D+00  RLast= 4.08D-02 DXNew= 7.7361D-01 1.2248D-01&lt;br /&gt;
 Trust test= 1.11D+00 RLast= 4.08D-02 DXMaxT set to 4.60D-01&lt;br /&gt;
     Eigenvalues ---    0.00202   0.00231   0.00637   0.01716   0.01846&lt;br /&gt;
     Eigenvalues ---    0.03149   0.03195   0.03237   0.03648   0.04258&lt;br /&gt;
     Eigenvalues ---    0.05006   0.05451   0.05549   0.09032   0.09150&lt;br /&gt;
     Eigenvalues ---    0.12698   0.13848   0.15981   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16002   0.16010   0.16097   0.21399   0.21923&lt;br /&gt;
     Eigenvalues ---    0.22079   0.22829   0.27758   0.31385   0.31704&lt;br /&gt;
     Eigenvalues ---    0.35353   0.35402   0.35477   0.36447   0.36512&lt;br /&gt;
     Eigenvalues ---    0.36634   0.36638   0.36759   0.36803   0.36835&lt;br /&gt;
     Eigenvalues ---    0.62887   0.630321000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     5    4    3    2&lt;br /&gt;
 RFO step:  Lambda=-2.44343526D-07.&lt;br /&gt;
 DIIS coeffs:      0.92069      0.22293     -0.24939      0.10577&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00076890 RMS(Int)=  0.00000057&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000066 RMS(Int)=  0.00000045&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.48713   0.00000  -0.00004   0.00007   0.00003   2.48717&lt;br /&gt;
    R2        2.03080   0.00000   0.00000  -0.00001   0.00000   2.03080&lt;br /&gt;
    R3        2.02838   0.00000  -0.00001   0.00002   0.00001   2.02839&lt;br /&gt;
    R4        2.85131   0.00001  -0.00007   0.00010   0.00002   2.85134&lt;br /&gt;
    R5        2.03515  -0.00001   0.00000  -0.00004  -0.00004   2.03511&lt;br /&gt;
    R6        2.93533  -0.00013   0.00007  -0.00057  -0.00050   2.93483&lt;br /&gt;
    R7        2.05134   0.00000  -0.00012   0.00017   0.00005   2.05139&lt;br /&gt;
    R8        2.04979   0.00004   0.00011  -0.00004   0.00007   2.04986&lt;br /&gt;
    R9        2.85132   0.00001  -0.00002   0.00002   0.00000   2.85133&lt;br /&gt;
   R10        2.04984   0.00002   0.00012  -0.00009   0.00003   2.04987&lt;br /&gt;
   R11        2.05131   0.00002  -0.00009   0.00017   0.00008   2.05139&lt;br /&gt;
   R12        2.48708   0.00004  -0.00005   0.00013   0.00008   2.48716&lt;br /&gt;
   R13        2.03517  -0.00002   0.00002  -0.00007  -0.00005   2.03512&lt;br /&gt;
   R14        2.02837   0.00001  -0.00001   0.00003   0.00002   2.02839&lt;br /&gt;
   R15        2.03082   0.00000   0.00001  -0.00002  -0.00002   2.03080&lt;br /&gt;
    A1        2.12617   0.00001   0.00003   0.00002   0.00005   2.12621&lt;br /&gt;
    A2        2.12700   0.00000  -0.00005   0.00004  -0.00001   2.12698&lt;br /&gt;
    A3        2.03001   0.00000   0.00002  -0.00005  -0.00003   2.02998&lt;br /&gt;
    A4        2.17866  -0.00006  -0.00008  -0.00015  -0.00023   2.17843&lt;br /&gt;
    A5        2.08893  -0.00002   0.00001  -0.00019  -0.00018   2.08875&lt;br /&gt;
    A6        2.01547   0.00008   0.00005   0.00033   0.00039   2.01586&lt;br /&gt;
    A7        1.94266   0.00013   0.00016   0.00053   0.00069   1.94335&lt;br /&gt;
    A8        1.92007  -0.00007  -0.00042  -0.00019  -0.00061   1.91946&lt;br /&gt;
    A9        1.91957  -0.00004   0.00011  -0.00027  -0.00016   1.91941&lt;br /&gt;
   A10        1.89084  -0.00002  -0.00033   0.00039   0.00006   1.89090&lt;br /&gt;
   A11        1.90914  -0.00001   0.00034  -0.00018   0.00016   1.90930&lt;br /&gt;
   A12        1.88027   0.00001   0.00013  -0.00029  -0.00017   1.88010&lt;br /&gt;
   A13        1.94299   0.00005   0.00005   0.00029   0.00034   1.94333&lt;br /&gt;
   A14        1.90899   0.00003   0.00032  -0.00001   0.00031   1.90931&lt;br /&gt;
   A15        1.89098  -0.00003  -0.00043   0.00032  -0.00011   1.89087&lt;br /&gt;
   A16        1.91968  -0.00004   0.00006  -0.00032  -0.00026   1.91941&lt;br /&gt;
   A17        1.91960   0.00000  -0.00011   0.00001  -0.00010   1.91950&lt;br /&gt;
   A18        1.88030  -0.00001   0.00010  -0.00029  -0.00020   1.88010&lt;br /&gt;
   A19        2.17869  -0.00006  -0.00003  -0.00023  -0.00026   2.17843&lt;br /&gt;
   A20        2.01539   0.00008   0.00004   0.00042   0.00046   2.01585&lt;br /&gt;
   A21        2.08895  -0.00002   0.00000  -0.00019  -0.00019   2.08877&lt;br /&gt;
   A22        2.12696   0.00000  -0.00005   0.00006   0.00001   2.12698&lt;br /&gt;
   A23        2.12619   0.00000   0.00002   0.00001   0.00003   2.12622&lt;br /&gt;
   A24        2.03003  -0.00001   0.00003  -0.00007  -0.00005   2.02998&lt;br /&gt;
    D1       -0.01971   0.00003   0.00018   0.00060   0.00078  -0.01893&lt;br /&gt;
    D2        3.13995   0.00006   0.00077   0.00094   0.00171  -3.14152&lt;br /&gt;
    D3        3.12675  -0.00005  -0.00043  -0.00069  -0.00112   3.12563&lt;br /&gt;
    D4        0.00322  -0.00002   0.00016  -0.00035  -0.00018   0.00304&lt;br /&gt;
    D5       -2.00089   0.00000  -0.00088   0.00016  -0.00073  -2.00162&lt;br /&gt;
    D6        2.18625  -0.00001  -0.00030  -0.00054  -0.00085   2.18541&lt;br /&gt;
    D7        0.11784   0.00005  -0.00027   0.00010  -0.00017   0.11767&lt;br /&gt;
    D8        1.12332  -0.00003  -0.00146  -0.00017  -0.00163   1.12168&lt;br /&gt;
    D9       -0.97273  -0.00004  -0.00088  -0.00088  -0.00175  -0.97448&lt;br /&gt;
   D10       -3.04114   0.00002  -0.00084  -0.00023  -0.00108  -3.04222&lt;br /&gt;
   D11        3.14116   0.00002   0.00032   0.00016   0.00048  -3.14155&lt;br /&gt;
   D12       -1.01698   0.00002   0.00065  -0.00006   0.00059  -1.01639&lt;br /&gt;
   D13        1.02820   0.00001   0.00070  -0.00024   0.00046   1.02866&lt;br /&gt;
   D14       -1.02879   0.00000  -0.00031   0.00051   0.00019  -1.02859&lt;br /&gt;
   D15        1.09626   0.00000   0.00002   0.00029   0.00030   1.09657&lt;br /&gt;
   D16        3.14144  -0.00001   0.00007   0.00011   0.00018  -3.14157&lt;br /&gt;
   D17        1.01635   0.00000  -0.00016   0.00028   0.00012   1.01647&lt;br /&gt;
   D18        3.14141  -0.00001   0.00017   0.00006   0.00023  -3.14155&lt;br /&gt;
   D19       -1.09661  -0.00001   0.00022  -0.00012   0.00010  -1.09650&lt;br /&gt;
   D20        2.00022   0.00003   0.00135   0.00022   0.00157   2.00180&lt;br /&gt;
   D21       -1.12240   0.00001   0.00070  -0.00012   0.00058  -1.12182&lt;br /&gt;
   D22       -0.11861  -0.00002   0.00087   0.00026   0.00113  -0.11749&lt;br /&gt;
   D23        3.04195  -0.00004   0.00022  -0.00008   0.00013   3.04208&lt;br /&gt;
   D24       -2.18684   0.00002   0.00078   0.00081   0.00159  -2.18525&lt;br /&gt;
   D25        0.97372   0.00000   0.00013   0.00047   0.00060   0.97432&lt;br /&gt;
   D26       -3.12482  -0.00004  -0.00071  -0.00064  -0.00134  -3.12616&lt;br /&gt;
   D27        0.01935   0.00001  -0.00039   0.00008  -0.00031   0.01905&lt;br /&gt;
   D28       -0.00294  -0.00002  -0.00003  -0.00028  -0.00030  -0.00324&lt;br /&gt;
   D29        3.14123   0.00003   0.00029   0.00044   0.00073  -3.14122&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000127     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000036     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.002483     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.000769     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.136929D-07&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.087554    0.728045   -1.526397&lt;br /&gt;
      2          6           0        1.916049    0.768144   -0.222084&lt;br /&gt;
      3          6           0        0.575974    0.758106    0.471288&lt;br /&gt;
      4          6           0        0.318158    2.092717    1.222485&lt;br /&gt;
      5          6           0       -1.021889    2.082637    1.915896&lt;br /&gt;
      6          6           0       -1.193356    2.122927    3.220207&lt;br /&gt;
      7          1           0        1.256955    0.666771   -2.205534&lt;br /&gt;
      8          1           0        3.064447    0.752018   -1.970517&lt;br /&gt;
      9          1           0        2.773357    0.829554    0.426795&lt;br /&gt;
     10          1           0        0.537469   -0.052588    1.192193&lt;br /&gt;
     11          1           0       -0.214723    0.593809   -0.252914&lt;br /&gt;
     12          1           0        1.108877    2.257038    1.946662&lt;br /&gt;
     13          1           0        0.356646    2.903389    0.501552&lt;br /&gt;
     14          1           0       -1.879220    2.021334    1.267030&lt;br /&gt;
     15          1           0       -2.170255    2.099401    3.664338&lt;br /&gt;
     16          1           0       -0.362749    2.184510    3.899307&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316151   0.000000&lt;br /&gt;
     3  C    2.505298   1.508862   0.000000&lt;br /&gt;
     4  C    3.542519   2.528740   1.553046   0.000000&lt;br /&gt;
     5  C    4.832487   3.863978   2.528724   1.508856   0.000000&lt;br /&gt;
     6  C    5.936354   4.832514   3.542572   2.505290   1.316150&lt;br /&gt;
     7  H    1.074652   2.092548   2.763594   3.829618   4.917722&lt;br /&gt;
     8  H    1.073377   2.091912   3.486394   4.419823   5.794212&lt;br /&gt;
     9  H    2.072580   1.076936   2.198994   2.873448   4.265153&lt;br /&gt;
    10  H    3.225349   2.138752   1.085547   2.156699   2.741265&lt;br /&gt;
    11  H    2.634436   2.138114   1.084741   2.169675   2.751702&lt;br /&gt;
    12  H    3.918899   2.751689   2.169681   1.084745   2.138113&lt;br /&gt;
    13  H    3.441038   2.741288   2.156678   1.085548   2.138776&lt;br /&gt;
    14  H    5.021068   4.265209   2.873487   2.198988   1.076940&lt;br /&gt;
    15  H    6.852246   5.794342   4.420002   3.486386   2.091907&lt;br /&gt;
    16  H    6.128910   4.917812   3.829771   2.763592   2.092549&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.128872   0.000000&lt;br /&gt;
     8  H    6.852145   1.824699   0.000000&lt;br /&gt;
     9  H    5.021033   3.042224   2.416164   0.000000&lt;br /&gt;
    10  H    3.441142   3.546785   4.127437   2.522539   0.000000&lt;br /&gt;
    11  H    3.918991   2.446198   3.705151   3.073467   1.752699&lt;br /&gt;
    12  H    2.634422   4.448776   4.629647   2.667995   2.496018&lt;br /&gt;
    13  H    3.225323   3.625097   4.251083   3.185415   3.040968&lt;br /&gt;
    14  H    2.072590   4.871256   6.044230   4.875736   3.185458&lt;br /&gt;
    15  H    1.073377   6.946480   7.808273   6.044294   4.251391&lt;br /&gt;
    16  H    1.074652   6.495849   6.946405   4.871284   3.625392&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.058821   0.000000&lt;br /&gt;
    13  H    2.495965   1.752702   0.000000&lt;br /&gt;
    14  H    2.668072   3.073464   2.522513   0.000000&lt;br /&gt;
    15  H    4.629879   3.705127   4.127328   2.416170   0.000000&lt;br /&gt;
    16  H    4.448953   2.446174   3.546697   3.042234   1.824700&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.956466   -0.218754   -0.146644&lt;br /&gt;
      2          6           0        1.870259    0.453967    0.169354&lt;br /&gt;
      3          6           0        0.544024   -0.170207    0.527363&lt;br /&gt;
      4          6           0       -0.544004    0.170165   -0.527291&lt;br /&gt;
      5          6           0       -1.870241   -0.453966   -0.169235&lt;br /&gt;
      6          6           0       -2.956476    0.218796    0.146575&lt;br /&gt;
      7          1           0        2.975318   -1.293211   -0.154634&lt;br /&gt;
      8          1           0        3.872961    0.275098   -0.407956&lt;br /&gt;
      9          1           0        1.890096    1.530716    0.166078&lt;br /&gt;
     10          1           0        0.210217    0.196424    1.493058&lt;br /&gt;
     11          1           0        0.649376   -1.247270    0.601519&lt;br /&gt;
     12          1           0       -0.649332    1.247232   -0.601479&lt;br /&gt;
     13          1           0       -0.210181   -0.196498   -1.492970&lt;br /&gt;
     14          1           0       -1.890131   -1.530718   -0.166056&lt;br /&gt;
     15          1           0       -3.873108   -0.275027    0.407461&lt;br /&gt;
     16          1           0       -2.975383    1.293254    0.154257&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.9067773      1.3637481      1.3465298&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.0911026684 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file.&lt;br /&gt;
 B after Tr=     0.000000    0.000000    0.000000&lt;br /&gt;
         Rot=    1.000000    0.000000    0.000000    0.000000 Ang=   0.00 deg.&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 ints in memory in canonical form, NReq=4687201.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692535270     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.4050D-08             -V/T =  2.0018&lt;br /&gt;
 Calling FoFJK, ICntrl=      2127 FMM=F ISym2X=0 I1Cent= 0 IOpClX= 0 NMat=1 NMatS=1 NMatT=0.&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
      1        6          -0.000008336    0.000033274    0.000003976&lt;br /&gt;
      2        6           0.000012567    0.000014154    0.000002267&lt;br /&gt;
      3        6          -0.000020413    0.000065604    0.000020994&lt;br /&gt;
      4        6           0.000031419   -0.000084823   -0.000022525&lt;br /&gt;
      5        6          -0.000015790    0.000010439   -0.000008562&lt;br /&gt;
      6        6           0.000003871    0.000014348   -0.000004604&lt;br /&gt;
      7        1          -0.000000051   -0.000014528   -0.000001283&lt;br /&gt;
      8        1          -0.000000365   -0.000013210    0.000001278&lt;br /&gt;
      9        1           0.000004953   -0.000012067   -0.000002666&lt;br /&gt;
     10        1          -0.000006065   -0.000002896    0.000001812&lt;br /&gt;
     11        1          -0.000003646   -0.000020259   -0.000010064&lt;br /&gt;
     12        1           0.000001660    0.000019277    0.000008585&lt;br /&gt;
     13        1           0.000000484    0.000004760    0.000002346&lt;br /&gt;
     14        1          -0.000002645    0.000000108    0.000006749&lt;br /&gt;
     15        1           0.000001440   -0.000009854    0.000000205&lt;br /&gt;
     16        1           0.000000918   -0.000004327    0.000001492&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000084823 RMS     0.000019295&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Using GEDIIS/GDIIS optimizer.&lt;br /&gt;
 Internal  Forces:  Max     0.000054464 RMS     0.000009542&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   6 out of a maximum of   78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Mixed Optimization -- En-DIIS/RFO-DIIS&lt;br /&gt;
 Swaping is turned off.&lt;br /&gt;
 Update second derivatives using D2CorX and points    1    2    3    4    5&lt;br /&gt;
                                                      6&lt;br /&gt;
 DE= -3.72D-07 DEPred=-4.14D-07 R= 8.98D-01&lt;br /&gt;
 Trust test= 8.98D-01 RLast= 5.06D-03 DXMaxT set to 4.60D-01&lt;br /&gt;
     Eigenvalues ---    0.00212   0.00231   0.00637   0.01714   0.01922&lt;br /&gt;
     Eigenvalues ---    0.03193   0.03198   0.03245   0.04112   0.04608&lt;br /&gt;
     Eigenvalues ---    0.04975   0.05452   0.05544   0.08506   0.09172&lt;br /&gt;
     Eigenvalues ---    0.12784   0.13602   0.15262   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16013   0.16030   0.20327   0.22013&lt;br /&gt;
     Eigenvalues ---    0.22195   0.22730   0.27102   0.31387   0.31713&lt;br /&gt;
     Eigenvalues ---    0.35279   0.35401   0.35481   0.36415   0.36519&lt;br /&gt;
     Eigenvalues ---    0.36632   0.36640   0.36740   0.36803   0.36841&lt;br /&gt;
     Eigenvalues ---    0.62914   0.630291000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 En-DIIS/RFO-DIIS IScMMF=        0 using points:     6    5    4    3    2&lt;br /&gt;
 RFO step:  Lambda=-1.67791972D-08.&lt;br /&gt;
 DIIS coeffs:      0.97281      0.09310     -0.11200      0.04388      0.00220&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00027033 RMS(Int)=  0.00000007&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000005 RMS(Int)=  0.00000006&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                  (DIIS)     (GDIIS)  (Total)&lt;br /&gt;
    R1        2.48717  -0.00001   0.00003  -0.00004  -0.00001   2.48716&lt;br /&gt;
    R2        2.03080   0.00000   0.00000   0.00001   0.00001   2.03080&lt;br /&gt;
    R3        2.02839   0.00000   0.00001  -0.00001   0.00000   2.02838&lt;br /&gt;
    R4        2.85134   0.00001  -0.00001   0.00004   0.00003   2.85137&lt;br /&gt;
    R5        2.03511   0.00000  -0.00002   0.00002   0.00000   2.03512&lt;br /&gt;
    R6        2.93483  -0.00005  -0.00008  -0.00015  -0.00022   2.93461&lt;br /&gt;
    R7        2.05139   0.00000   0.00001   0.00000   0.00001   2.05140&lt;br /&gt;
    R8        2.04986   0.00001   0.00000   0.00004   0.00004   2.04990&lt;br /&gt;
    R9        2.85133   0.00001  -0.00003   0.00007   0.00004   2.85136&lt;br /&gt;
   R10        2.04987   0.00001   0.00001   0.00001   0.00002   2.04989&lt;br /&gt;
   R11        2.05139   0.00000   0.00001   0.00000   0.00001   2.05140&lt;br /&gt;
   R12        2.48716   0.00000   0.00002  -0.00002   0.00000   2.48716&lt;br /&gt;
   R13        2.03512   0.00000  -0.00001   0.00000  -0.00001   2.03511&lt;br /&gt;
   R14        2.02839   0.00000   0.00000   0.00000   0.00000   2.02839&lt;br /&gt;
   R15        2.03080   0.00000   0.00000   0.00001   0.00000   2.03080&lt;br /&gt;
    A1        2.12621   0.00000   0.00000   0.00001   0.00001   2.12622&lt;br /&gt;
    A2        2.12698   0.00000   0.00001  -0.00002  -0.00001   2.12698&lt;br /&gt;
    A3        2.02998   0.00000  -0.00001   0.00001   0.00000   2.02998&lt;br /&gt;
    A4        2.17843  -0.00001  -0.00004  -0.00005  -0.00009   2.17834&lt;br /&gt;
    A5        2.08875   0.00000  -0.00002   0.00001  -0.00001   2.08874&lt;br /&gt;
    A6        2.01586   0.00001   0.00007   0.00004   0.00011   2.01596&lt;br /&gt;
    A7        1.94335  -0.00001   0.00004   0.00000   0.00004   1.94338&lt;br /&gt;
    A8        1.91946   0.00001  -0.00002  -0.00001  -0.00003   1.91944&lt;br /&gt;
    A9        1.91941  -0.00001  -0.00006   0.00003  -0.00004   1.91938&lt;br /&gt;
   A10        1.89090   0.00000   0.00001  -0.00003  -0.00002   1.89088&lt;br /&gt;
   A11        1.90930   0.00002   0.00006   0.00009   0.00015   1.90945&lt;br /&gt;
   A12        1.88010  -0.00001  -0.00003  -0.00008  -0.00010   1.88000&lt;br /&gt;
   A13        1.94333   0.00000  -0.00001   0.00006   0.00005   1.94338&lt;br /&gt;
   A14        1.90931   0.00001   0.00010   0.00006   0.00016   1.90946&lt;br /&gt;
   A15        1.89087   0.00000  -0.00004   0.00004   0.00000   1.89087&lt;br /&gt;
   A16        1.91941  -0.00001   0.00000  -0.00006  -0.00006   1.91936&lt;br /&gt;
   A17        1.91950   0.00000  -0.00003  -0.00002  -0.00004   1.91946&lt;br /&gt;
   A18        1.88010  -0.00001  -0.00002  -0.00008  -0.00010   1.88000&lt;br /&gt;
   A19        2.17843  -0.00001  -0.00010   0.00001  -0.00009   2.17834&lt;br /&gt;
   A20        2.01585   0.00001   0.00012  -0.00001   0.00011   2.01596&lt;br /&gt;
   A21        2.08877   0.00000  -0.00003   0.00000  -0.00003   2.08874&lt;br /&gt;
   A22        2.12698   0.00000   0.00000   0.00000   0.00001   2.12698&lt;br /&gt;
   A23        2.12622   0.00000   0.00001  -0.00001   0.00000   2.12622&lt;br /&gt;
   A24        2.02998   0.00000  -0.00001   0.00000  -0.00001   2.02998&lt;br /&gt;
    D1       -0.01893  -0.00001  -0.00009  -0.00005  -0.00015  -0.01907&lt;br /&gt;
    D2       -3.14152  -0.00002  -0.00021  -0.00017  -0.00038   3.14129&lt;br /&gt;
    D3        3.12563   0.00001   0.00026   0.00005   0.00032   3.12594&lt;br /&gt;
    D4        0.00304   0.00001   0.00014  -0.00006   0.00008   0.00312&lt;br /&gt;
    D5       -2.00162  -0.00001   0.00050  -0.00019   0.00032  -2.00130&lt;br /&gt;
    D6        2.18541   0.00000   0.00048  -0.00014   0.00034   2.18574&lt;br /&gt;
    D7        0.11767   0.00001   0.00056  -0.00006   0.00050   0.11817&lt;br /&gt;
    D8        1.12168   0.00000   0.00061  -0.00008   0.00054   1.12222&lt;br /&gt;
    D9       -0.97448   0.00000   0.00059  -0.00003   0.00056  -0.97392&lt;br /&gt;
   D10       -3.04222   0.00001   0.00067   0.00005   0.00072  -3.04150&lt;br /&gt;
   D11       -3.14155   0.00000  -0.00008   0.00006  -0.00002  -3.14157&lt;br /&gt;
   D12       -1.01639   0.00000  -0.00002   0.00007   0.00005  -1.01634&lt;br /&gt;
   D13        1.02866   0.00000  -0.00001   0.00002   0.00001   1.02867&lt;br /&gt;
   D14       -1.02859   0.00000  -0.00007   0.00003  -0.00004  -1.02864&lt;br /&gt;
   D15        1.09657   0.00000  -0.00001   0.00004   0.00002   1.09659&lt;br /&gt;
   D16       -3.14157   0.00000   0.00000  -0.00001  -0.00001  -3.14158&lt;br /&gt;
   D17        1.01647   0.00000  -0.00007  -0.00003  -0.00009   1.01638&lt;br /&gt;
   D18       -3.14155   0.00000  -0.00001  -0.00002  -0.00003  -3.14158&lt;br /&gt;
   D19       -1.09650   0.00000   0.00000  -0.00007  -0.00007  -1.09657&lt;br /&gt;
   D20        2.00180   0.00000  -0.00056   0.00010  -0.00046   2.00134&lt;br /&gt;
   D21       -1.12182   0.00001  -0.00040   0.00005  -0.00035  -1.12218&lt;br /&gt;
   D22       -0.11749  -0.00001  -0.00067   0.00002  -0.00065  -0.11813&lt;br /&gt;
   D23        3.04208  -0.00001  -0.00051  -0.00003  -0.00054   3.04154&lt;br /&gt;
   D24       -2.18525   0.00000  -0.00063   0.00017  -0.00046  -2.18571&lt;br /&gt;
   D25        0.97432   0.00000  -0.00048   0.00012  -0.00036   0.97396&lt;br /&gt;
   D26       -3.12616   0.00001   0.00006   0.00021   0.00027  -3.12589&lt;br /&gt;
   D27        0.01905   0.00000  -0.00010   0.00015   0.00005   0.01909&lt;br /&gt;
   D28       -0.00324   0.00001  -0.00010   0.00026   0.00016  -0.00308&lt;br /&gt;
   D29       -3.14122  -0.00001  -0.00026   0.00020  -0.00006  -3.14128&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000054     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000010     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000807     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000270     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.818684D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !   Optimized Parameters   !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.3162         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R2    R(1,7)                  1.0747         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R3    R(1,8)                  1.0734         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R4    R(2,3)                  1.5089         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R5    R(2,9)                  1.0769         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R6    R(3,4)                  1.553          -DE/DX =   -0.0001              !&lt;br /&gt;
 ! R7    R(3,10)                 1.0855         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R8    R(3,11)                 1.0847         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R9    R(4,5)                  1.5089         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R10   R(4,12)                 1.0847         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R11   R(4,13)                 1.0855         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R12   R(5,6)                  1.3161         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R13   R(5,14)                 1.0769         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R14   R(6,15)                 1.0734         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R15   R(6,16)                 1.0747         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A1    A(2,1,7)              121.8231         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A2    A(2,1,8)              121.8672         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A3    A(7,1,8)              116.3095         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A4    A(1,2,3)              124.815          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A5    A(1,2,9)              119.6768         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A6    A(3,2,9)              115.5            -DE/DX =    0.0                 !&lt;br /&gt;
 ! A7    A(2,3,4)              111.3456         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A8    A(2,3,10)             109.977          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A9    A(2,3,11)             109.9742         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A10   A(4,3,10)             108.3405         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A11   A(4,3,11)             109.395          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A12   A(10,3,11)            107.722          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A13   A(3,4,5)              111.3448         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A14   A(3,4,12)             109.3952         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A15   A(3,4,13)             108.3388         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A16   A(5,4,12)             109.9744         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A17   A(5,4,13)             109.9792         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A18   A(12,4,13)            107.7218         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A19   A(4,5,6)              124.8148         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A20   A(4,5,14)             115.4997         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A21   A(6,5,14)             119.6776         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A22   A(5,6,15)             121.8668         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A23   A(5,6,16)             121.8234         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A24   A(15,6,16)            116.3095         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D1    D(7,1,2,3)             -1.0846         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D2    D(7,1,2,9)            180.0042         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D3    D(8,1,2,3)            179.0852         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D4    D(8,1,2,9)              0.174          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D5    D(1,2,3,4)           -114.6841         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D6    D(1,2,3,10)           125.2146         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D7    D(1,2,3,11)             6.7418         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D8    D(9,2,3,4)             64.2678         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D9    D(9,2,3,10)           -55.8335         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D10   D(9,2,3,11)          -174.3063         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D11   D(2,3,4,5)           -179.9975         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D12   D(2,3,4,12)           -58.2348         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D13   D(2,3,4,13)            58.9379         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D14   D(10,3,4,5)           -58.9341         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D15   D(10,3,4,12)           62.8286         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D16   D(10,3,4,13)         -179.9987         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D17   D(11,3,4,5)            58.2396         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D18   D(11,3,4,12)         -179.9977         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D19   D(11,3,4,13)          -62.825          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D20   D(3,4,5,6)            114.6944         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D21   D(3,4,5,14)           -64.2758         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D22   D(12,4,5,6)            -6.7314         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D23   D(12,4,5,14)          174.2984         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D24   D(13,4,5,6)          -125.2054         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D25   D(13,4,5,14)           55.8244         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D26   D(4,5,6,15)          -179.1159         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D27   D(4,5,6,16)             1.0912         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D28   D(14,5,6,15)           -0.1857         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D29   D(14,5,6,16)         -179.9786         -DE/DX =    0.0                 !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.087554    0.728045   -1.526397&lt;br /&gt;
      2          6           0        1.916049    0.768144   -0.222084&lt;br /&gt;
      3          6           0        0.575974    0.758106    0.471288&lt;br /&gt;
      4          6           0        0.318158    2.092717    1.222485&lt;br /&gt;
      5          6           0       -1.021889    2.082637    1.915896&lt;br /&gt;
      6          6           0       -1.193356    2.122927    3.220207&lt;br /&gt;
      7          1           0        1.256955    0.666771   -2.205534&lt;br /&gt;
      8          1           0        3.064447    0.752018   -1.970517&lt;br /&gt;
      9          1           0        2.773357    0.829554    0.426795&lt;br /&gt;
     10          1           0        0.537469   -0.052588    1.192193&lt;br /&gt;
     11          1           0       -0.214723    0.593809   -0.252914&lt;br /&gt;
     12          1           0        1.108877    2.257038    1.946662&lt;br /&gt;
     13          1           0        0.356646    2.903389    0.501552&lt;br /&gt;
     14          1           0       -1.879220    2.021334    1.267030&lt;br /&gt;
     15          1           0       -2.170255    2.099401    3.664338&lt;br /&gt;
     16          1           0       -0.362749    2.184510    3.899307&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  C    1.316151   0.000000&lt;br /&gt;
     3  C    2.505298   1.508862   0.000000&lt;br /&gt;
     4  C    3.542519   2.528740   1.553046   0.000000&lt;br /&gt;
     5  C    4.832487   3.863978   2.528724   1.508856   0.000000&lt;br /&gt;
     6  C    5.936354   4.832514   3.542572   2.505290   1.316150&lt;br /&gt;
     7  H    1.074652   2.092548   2.763594   3.829618   4.917722&lt;br /&gt;
     8  H    1.073377   2.091912   3.486394   4.419823   5.794212&lt;br /&gt;
     9  H    2.072580   1.076936   2.198994   2.873448   4.265153&lt;br /&gt;
    10  H    3.225349   2.138752   1.085547   2.156699   2.741265&lt;br /&gt;
    11  H    2.634436   2.138114   1.084741   2.169675   2.751702&lt;br /&gt;
    12  H    3.918899   2.751689   2.169681   1.084745   2.138113&lt;br /&gt;
    13  H    3.441038   2.741288   2.156678   1.085548   2.138776&lt;br /&gt;
    14  H    5.021068   4.265209   2.873487   2.198988   1.076940&lt;br /&gt;
    15  H    6.852246   5.794342   4.420002   3.486386   2.091907&lt;br /&gt;
    16  H    6.128910   4.917812   3.829771   2.763592   2.092549&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    6.128872   0.000000&lt;br /&gt;
     8  H    6.852145   1.824699   0.000000&lt;br /&gt;
     9  H    5.021033   3.042224   2.416164   0.000000&lt;br /&gt;
    10  H    3.441142   3.546785   4.127437   2.522539   0.000000&lt;br /&gt;
    11  H    3.918991   2.446198   3.705151   3.073467   1.752699&lt;br /&gt;
    12  H    2.634422   4.448776   4.629647   2.667995   2.496018&lt;br /&gt;
    13  H    3.225323   3.625097   4.251083   3.185415   3.040968&lt;br /&gt;
    14  H    2.072590   4.871256   6.044230   4.875736   3.185458&lt;br /&gt;
    15  H    1.073377   6.946480   7.808273   6.044294   4.251391&lt;br /&gt;
    16  H    1.074652   6.495849   6.946405   4.871284   3.625392&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  H    3.058821   0.000000&lt;br /&gt;
    13  H    2.495965   1.752702   0.000000&lt;br /&gt;
    14  H    2.668072   3.073464   2.522513   0.000000&lt;br /&gt;
    15  H    4.629879   3.705127   4.127328   2.416170   0.000000&lt;br /&gt;
    16  H    4.448953   2.446174   3.546697   3.042234   1.824700&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1      NOp   1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic      Atomic             Coordinates (Angstroms)&lt;br /&gt;
 Number     Number       Type             X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
      1          6           0        2.956466   -0.218754   -0.146644&lt;br /&gt;
      2          6           0        1.870259    0.453967    0.169354&lt;br /&gt;
      3          6           0        0.544024   -0.170207    0.527363&lt;br /&gt;
      4          6           0       -0.544004    0.170165   -0.527291&lt;br /&gt;
      5          6           0       -1.870241   -0.453966   -0.169235&lt;br /&gt;
      6          6           0       -2.956476    0.218796    0.146575&lt;br /&gt;
      7          1           0        2.975318   -1.293211   -0.154634&lt;br /&gt;
      8          1           0        3.872961    0.275098   -0.407956&lt;br /&gt;
      9          1           0        1.890096    1.530716    0.166078&lt;br /&gt;
     10          1           0        0.210217    0.196424    1.493058&lt;br /&gt;
     11          1           0        0.649376   -1.247270    0.601519&lt;br /&gt;
     12          1           0       -0.649332    1.247232   -0.601479&lt;br /&gt;
     13          1           0       -0.210181   -0.196498   -1.492970&lt;br /&gt;
     14          1           0       -1.890131   -1.530718   -0.166056&lt;br /&gt;
     15          1           0       -3.873108   -0.275027    0.407461&lt;br /&gt;
     16          1           0       -2.975383    1.293254    0.154257&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     15.9067773      1.3637481      1.3465298&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.17277 -11.17255 -11.16819 -11.16798 -11.15787&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.15787  -1.09909  -1.05402  -0.97642  -0.86631&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.76233  -0.75261  -0.65914  -0.63806  -0.61329&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.56626  -0.56539  -0.52793  -0.49667  -0.48258&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.46368  -0.37255  -0.35296&lt;br /&gt;
 Alpha virt. eigenvalues --    0.18370   0.19659   0.28203   0.28622   0.30479&lt;br /&gt;
 Alpha virt. eigenvalues --    0.32313   0.33425   0.34212   0.37389   0.37414&lt;br /&gt;
 Alpha virt. eigenvalues --    0.37828   0.39230   0.43778   0.51320   0.53020&lt;br /&gt;
 Alpha virt. eigenvalues --    0.60385   0.60433   0.85538   0.90358   0.92873&lt;br /&gt;
 Alpha virt. eigenvalues --    0.94066   0.98694   0.99997   1.01556   1.01843&lt;br /&gt;
 Alpha virt. eigenvalues --    1.09462   1.10503   1.11893   1.12369   1.12455&lt;br /&gt;
 Alpha virt. eigenvalues --    1.19320   1.21501   1.27303   1.30310   1.33137&lt;br /&gt;
 Alpha virt. eigenvalues --    1.36150   1.36848   1.39497   1.39601   1.42245&lt;br /&gt;
 Alpha virt. eigenvalues --    1.43029   1.46180   1.62117   1.66279   1.72136&lt;br /&gt;
 Alpha virt. eigenvalues --    1.76259   1.81097   1.98566   2.16357   2.22780&lt;br /&gt;
 Alpha virt. eigenvalues --    2.52948&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    5.195534   0.544590  -0.080071   0.000761  -0.000055   0.000000&lt;br /&gt;
     2  C    0.544590   5.268798   0.273821  -0.082145   0.004457  -0.000055&lt;br /&gt;
     3  C   -0.080071   0.273821   5.462882   0.234658  -0.082150   0.000762&lt;br /&gt;
     4  C    0.000761  -0.082145   0.234658   5.462878   0.273818  -0.080070&lt;br /&gt;
     5  C   -0.000055   0.004457  -0.082150   0.273818   5.268799   0.544592&lt;br /&gt;
     6  C    0.000000  -0.000055   0.000762  -0.080070   0.544592   5.195528&lt;br /&gt;
     7  H    0.399799  -0.054804  -0.001949   0.000056  -0.000001   0.000000&lt;br /&gt;
     8  H    0.396011  -0.051140   0.002627  -0.000070   0.000001   0.000000&lt;br /&gt;
     9  H   -0.040983   0.398236  -0.040162  -0.000141  -0.000032   0.000002&lt;br /&gt;
    10  H    0.000949  -0.045515   0.382649  -0.049114   0.000962   0.000916&lt;br /&gt;
    11  H    0.001784  -0.049628   0.391642  -0.043505  -0.000104   0.000182&lt;br /&gt;
    12  H    0.000182  -0.000105  -0.043506   0.391643  -0.049629   0.001785&lt;br /&gt;
    13  H    0.000917   0.000963  -0.049118   0.382650  -0.045510   0.000947&lt;br /&gt;
    14  H    0.000002  -0.000032  -0.000141  -0.040163   0.398236  -0.040980&lt;br /&gt;
    15  H    0.000000   0.000001  -0.000070   0.002627  -0.051141   0.396011&lt;br /&gt;
    16  H    0.000000  -0.000001   0.000056  -0.001948  -0.054804   0.399799&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C    0.399799   0.396011  -0.040983   0.000949   0.001784   0.000182&lt;br /&gt;
     2  C   -0.054804  -0.051140   0.398236  -0.045515  -0.049628  -0.000105&lt;br /&gt;
     3  C   -0.001949   0.002627  -0.040162   0.382649   0.391642  -0.043506&lt;br /&gt;
     4  C    0.000056  -0.000070  -0.000141  -0.049114  -0.043505   0.391643&lt;br /&gt;
     5  C   -0.000001   0.000001  -0.000032   0.000962  -0.000104  -0.049629&lt;br /&gt;
     6  C    0.000000   0.000000   0.000002   0.000916   0.000182   0.001785&lt;br /&gt;
     7  H    0.469532  -0.021668   0.002310   0.000058   0.002262   0.000003&lt;br /&gt;
     8  H   -0.021668   0.466146  -0.002116  -0.000059   0.000055   0.000000&lt;br /&gt;
     9  H    0.002310  -0.002116   0.459329  -0.000551   0.002211   0.001405&lt;br /&gt;
    10  H    0.000058  -0.000059  -0.000551   0.500963  -0.022569  -0.001044&lt;br /&gt;
    11  H    0.002262   0.000055   0.002211  -0.022569   0.499281   0.002814&lt;br /&gt;
    12  H    0.000003   0.000000   0.001405  -0.001044   0.002814   0.499280&lt;br /&gt;
    13  H    0.000061  -0.000010   0.000209   0.003366  -0.001044  -0.022568&lt;br /&gt;
    14  H    0.000000   0.000000   0.000000   0.000209   0.001405   0.002211&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000  -0.000010   0.000000   0.000055&lt;br /&gt;
    16  H    0.000000   0.000000   0.000000   0.000061   0.000003   0.002262&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C    0.000917   0.000002   0.000000   0.000000&lt;br /&gt;
     2  C    0.000963  -0.000032   0.000001  -0.000001&lt;br /&gt;
     3  C   -0.049118  -0.000141  -0.000070   0.000056&lt;br /&gt;
     4  C    0.382650  -0.040163   0.002627  -0.001948&lt;br /&gt;
     5  C   -0.045510   0.398236  -0.051141  -0.054804&lt;br /&gt;
     6  C    0.000947  -0.040980   0.396011   0.399799&lt;br /&gt;
     7  H    0.000061   0.000000   0.000000   0.000000&lt;br /&gt;
     8  H   -0.000010   0.000000   0.000000   0.000000&lt;br /&gt;
     9  H    0.000209   0.000000   0.000000   0.000000&lt;br /&gt;
    10  H    0.003366   0.000209  -0.000010   0.000061&lt;br /&gt;
    11  H   -0.001044   0.001405   0.000000   0.000003&lt;br /&gt;
    12  H   -0.022568   0.002211   0.000055   0.002262&lt;br /&gt;
    13  H    0.500959  -0.000551  -0.000059   0.000058&lt;br /&gt;
    14  H   -0.000551   0.459325  -0.002116   0.002310&lt;br /&gt;
    15  H   -0.000059  -0.002116   0.466145  -0.021668&lt;br /&gt;
    16  H    0.000058   0.002310  -0.021668   0.469528&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.419419&lt;br /&gt;
     2  C   -0.207440&lt;br /&gt;
     3  C   -0.451930&lt;br /&gt;
     4  C   -0.451934&lt;br /&gt;
     5  C   -0.207438&lt;br /&gt;
     6  C   -0.419420&lt;br /&gt;
     7  H    0.204341&lt;br /&gt;
     8  H    0.210223&lt;br /&gt;
     9  H    0.220282&lt;br /&gt;
    10  H    0.228729&lt;br /&gt;
    11  H    0.215211&lt;br /&gt;
    12  H    0.215211&lt;br /&gt;
    13  H    0.228730&lt;br /&gt;
    14  H    0.220285&lt;br /&gt;
    15  H    0.210224&lt;br /&gt;
    16  H    0.204343&lt;br /&gt;
 Sum of Mulliken atomic charges =   0.00000&lt;br /&gt;
 Mulliken charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.004855&lt;br /&gt;
     2  C    0.012842&lt;br /&gt;
     3  C   -0.007989&lt;br /&gt;
     4  C   -0.007993&lt;br /&gt;
     5  C    0.012847&lt;br /&gt;
     6  C   -0.004853&lt;br /&gt;
 Sum of Mulliken charges with hydrogens summed into heavy atoms =   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=            910.3233&lt;br /&gt;
 Charge=              0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=             -0.0002    Y=              0.0000    Z=             -0.0007  Tot=              0.0007&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=            -38.8999   YY=            -36.1953   ZZ=            -42.0924&lt;br /&gt;
   XY=             -0.0370   XZ=             -1.6285   YZ=              0.2411&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=              0.1626   YY=              2.8672   ZZ=             -3.0298&lt;br /&gt;
   XY=             -0.0370   XZ=             -1.6285   YZ=              0.2411&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=             -0.0086  YYY=              0.0000  ZZZ=             -0.0009  XYY=             -0.0004&lt;br /&gt;
  XXY=              0.0005  XXZ=             -0.0087  XZZ=              0.0017  YZZ=             -0.0001&lt;br /&gt;
  YYZ=             -0.0011  XYZ=              0.0005&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX=          -1018.2244 YYYY=            -93.2248 ZZZZ=            -87.8105 XXXY=              3.9159&lt;br /&gt;
 XXXZ=            -36.2360 YYYX=             -1.7156 YYYZ=              0.1358 ZZZX=             -1.0254&lt;br /&gt;
 ZZZY=              1.3293 XXYY=           -183.2170 XXZZ=           -217.9095 YYZZ=            -33.4090&lt;br /&gt;
 XXYZ=             -1.2211 YYXZ=             -0.6221 ZZXY=             -0.2025&lt;br /&gt;
 N-N= 2.130911026684D+02 E-N=-9.643569734091D+02  KE= 2.312827162750D+02&lt;br /&gt;
 1|1|UNPC-CH-LAPTOP-09|FOpt|RHF|3-21G|C6H10|NM607|09-Dec-2009|0||# opt &lt;br /&gt;
 hf/3-21g geom=connectivity||hexadiene structure 3 optimization||0,1|C,&lt;br /&gt;
 2.0875536387,0.7280446328,-1.5263966251|C,1.9160486997,0.7681439273,-0&lt;br /&gt;
 .2220837081|C,0.5759738844,0.7581057937,0.4712878449|C,0.3181580594,2.&lt;br /&gt;
 0927168655,1.2224846906|C,-1.0218892732,2.082637032,1.9158961525|C,-1.&lt;br /&gt;
 1933556944,2.1229265986,3.2202066537|H,1.2569546097,0.6667714908,-2.20&lt;br /&gt;
 55341539|H,3.0644468208,0.7520178619,-1.9705170561|H,2.773356572,0.829&lt;br /&gt;
 5541652,0.4267946066|H,0.5374693943,-0.0525882646,1.1921927177|H,-0.21&lt;br /&gt;
 47228633,0.5938085679,-0.2529140178|H,1.1088773787,2.2570383888,1.9466&lt;br /&gt;
 620764|H,0.3566456254,2.9033890626,0.5015520124|H,-1.8792200467,2.0213&lt;br /&gt;
 339657,1.2670304382|H,-2.1702546638,2.0994008645,3.6643381086|H,-0.362&lt;br /&gt;
 7494218,2.1845095172,3.8993072394||Version=IA32W-G09RevA.02|State=1-A|&lt;br /&gt;
 HF=-231.6925353|RMSD=4.050e-009|RMSF=1.929e-005|Dipole=-0.0000258,0.00&lt;br /&gt;
 02788,0.0000039|Quadrupole=1.4458279,-2.7194723,1.2736445,0.331587,0.7&lt;br /&gt;
 759623,-0.2217153|PG=C01 [X(C6H10)]||@&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 &amp;quot;TIGER, TIGER BURNING BRIGHT&lt;br /&gt;
 IN THE FOREST OF THE NIGHT.&lt;br /&gt;
 WHAT IMMORTAL HAND OR EYE&lt;br /&gt;
 CAN FRAME THY FEARFUL SYMMETRYE?&amp;quot;&lt;br /&gt;
                     - WILLIAM BLAKE&lt;br /&gt;
 Job cpu time:  0 days  0 hours  0 minutes 49.0 seconds.&lt;br /&gt;
 File lengths (MBytes):  RWF=      5 Int=      0 D2E=      0 Chk=      1 Scr=      1&lt;br /&gt;
 Normal termination of Gaussian 09 at Wed Dec 09 11:35:26 2009.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iiimjkioopp&amp;diff=108509</id>
		<title>Rep:Mod:iiimjkioopp</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iiimjkioopp&amp;diff=108509"/>
		<updated>2010-03-26T12:05:23Z</updated>

		<summary type="html">&lt;p&gt;Tb607: New page:  Entering Link 1 = C:\G03W\l1.exe PID=      5624.     Copyright (c) 1988,1990,1992,1993,1995,1998,2003,2004,2007, Gaussian, Inc.                   All Rights Reserved.     This is the Gaus...&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Entering Link 1 = C:\G03W\l1.exe PID=      5624.&lt;br /&gt;
  &lt;br /&gt;
 Copyright (c) 1988,1990,1992,1993,1995,1998,2003,2004,2007, Gaussian, Inc.&lt;br /&gt;
                  All Rights Reserved.&lt;br /&gt;
  &lt;br /&gt;
 This is the Gaussian(R) 03 program.  It is based on the&lt;br /&gt;
 the Gaussian(R) 98 system (copyright 1998, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian(R) 94 system (copyright 1995, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 92(TM) system (copyright 1992, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 90(TM) system (copyright 1990, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 88(TM) system (copyright 1988, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 86(TM) system (copyright 1986, Carnegie Mellon&lt;br /&gt;
 University), and the Gaussian 82(TM) system (copyright 1983,&lt;br /&gt;
 Carnegie Mellon University). Gaussian is a federally registered&lt;br /&gt;
 trademark of Gaussian, Inc.&lt;br /&gt;
  &lt;br /&gt;
 This software contains proprietary and confidential information,&lt;br /&gt;
 including trade secrets, belonging to Gaussian, Inc.&lt;br /&gt;
  &lt;br /&gt;
 This software is provided under written license and may be&lt;br /&gt;
 used, copied, transmitted, or stored only in accord with that&lt;br /&gt;
 written license.&lt;br /&gt;
  &lt;br /&gt;
 The following legend is applicable only to US Government&lt;br /&gt;
 contracts under FAR:&lt;br /&gt;
  &lt;br /&gt;
                    RESTRICTED RIGHTS LEGEND&lt;br /&gt;
  &lt;br /&gt;
 Use, reproduction and disclosure by the US Government is&lt;br /&gt;
 subject to restrictions as set forth in subparagraphs (a)&lt;br /&gt;
 and (c) of the Commercial Computer Software - Restricted&lt;br /&gt;
 Rights clause in FAR 52.227-19.&lt;br /&gt;
  &lt;br /&gt;
 Gaussian, Inc.&lt;br /&gt;
 340 Quinnipiac St., Bldg. 40, Wallingford CT 06492&lt;br /&gt;
  &lt;br /&gt;
  &lt;br /&gt;
 ---------------------------------------------------------------&lt;br /&gt;
 Warning -- This program may not be used in any manner that&lt;br /&gt;
 competes with the business of Gaussian, Inc. or will provide&lt;br /&gt;
 assistance to any competitor of Gaussian, Inc.  The licensee&lt;br /&gt;
 of this program is prohibited from giving any competitor of&lt;br /&gt;
 Gaussian, Inc. access to this program.  By using this program,&lt;br /&gt;
 the user acknowledges that Gaussian, Inc. is engaged in the&lt;br /&gt;
 business of creating and licensing software in the field of&lt;br /&gt;
 computational chemistry and represents and warrants to the&lt;br /&gt;
 licensee that it is not a competitor of Gaussian, Inc. and that&lt;br /&gt;
 it will not use this program in any manner prohibited above.&lt;br /&gt;
 ---------------------------------------------------------------&lt;br /&gt;
  &lt;br /&gt;
&lt;br /&gt;
 Cite this work as:&lt;br /&gt;
 Gaussian 03, Revision E.01,&lt;br /&gt;
 M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, &lt;br /&gt;
 M. A. Robb, J. R. Cheeseman, J. A. Montgomery, Jr., T. Vreven, &lt;br /&gt;
 K. N. Kudin, J. C. Burant, J. M. Millam, S. S. Iyengar, J. Tomasi, &lt;br /&gt;
 V. Barone, B. Mennucci, M. Cossi, G. Scalmani, N. Rega, &lt;br /&gt;
 G. A. Petersson, H. Nakatsuji, M. Hada, M. Ehara, K. Toyota, &lt;br /&gt;
 R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, &lt;br /&gt;
 H. Nakai, M. Klene, X. Li, J. E. Knox, H. P. Hratchian, J. B. Cross, &lt;br /&gt;
 V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R. E. Stratmann, &lt;br /&gt;
 O. Yazyev, A. J. Austin, R. Cammi, C. Pomelli, J. W. Ochterski, &lt;br /&gt;
 P. Y. Ayala, K. Morokuma, G. A. Voth, P. Salvador, J. J. Dannenberg, &lt;br /&gt;
 V. G. Zakrzewski, S. Dapprich, A. D. Daniels, M. C. Strain, &lt;br /&gt;
 O. Farkas, D. K. Malick, A. D. Rabuck, K. Raghavachari, &lt;br /&gt;
 J. B. Foresman, J. V. Ortiz, Q. Cui, A. G. Baboul, S. Clifford, &lt;br /&gt;
 J. Cioslowski, B. B. Stefanov, G. Liu, A. Liashenko, P. Piskorz, &lt;br /&gt;
 I. Komaromi, R. L. Martin, D. J. Fox, T. Keith, M. A. Al-Laham, &lt;br /&gt;
 C. Y. Peng, A. Nanayakkara, M. Challacombe, P. M. W. Gill, &lt;br /&gt;
 B. Johnson, W. Chen, M. W. Wong, C. Gonzalez, and J. A. Pople, &lt;br /&gt;
 Gaussian, Inc., Wallingford CT, 2004.&lt;br /&gt;
 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 Gaussian 03:  IA32W-G03RevE.01 11-Sep-2007&lt;br /&gt;
                18-Mar-2010 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 %chk=gauchattempt2.chk&lt;br /&gt;
 %mem=6MW&lt;br /&gt;
 %nproc=1&lt;br /&gt;
 Will use up to    1 processors via shared memory.&lt;br /&gt;
 --------------------------------&lt;br /&gt;
 # opt hf/3-21g geom=connectivity&lt;br /&gt;
 --------------------------------&lt;br /&gt;
 1/18=20,38=1,57=2/1,3;&lt;br /&gt;
 2/9=110,17=6,18=5,40=1/2;&lt;br /&gt;
 3/5=5,11=9,16=1,25=1,30=1/1,2,3;&lt;br /&gt;
 4//1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,28=1/1;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/18=20/3(3);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,19=2,28=1/1;&lt;br /&gt;
 99//99;&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 3/5=5,11=9,16=1,25=1,30=1/1,2,3;&lt;br /&gt;
 4/5=5,16=3/1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/18=20/3(-5);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,19=2,28=1/1;&lt;br /&gt;
 99/9=1/99;&lt;br /&gt;
 -------------------&lt;br /&gt;
 Title Card Required&lt;br /&gt;
 -------------------&lt;br /&gt;
 Symbolic Z-matrix:&lt;br /&gt;
 Charge =  0 Multiplicity = 1&lt;br /&gt;
 C&lt;br /&gt;
 H                    1    B1&lt;br /&gt;
 H                    1    B2       2    A1&lt;br /&gt;
 C                    1    B3       3    A2       2    D1       0&lt;br /&gt;
 H                    4    B4       1    A3       3    D2       0&lt;br /&gt;
 C                    4    B5       1    A4       3    D3       0&lt;br /&gt;
 H                    6    B6       4    A5       1    D4       0&lt;br /&gt;
 H                    6    B7       4    A6       1    D5       0&lt;br /&gt;
 C                    6    B8       4    A7       1    D6       0&lt;br /&gt;
 H                    9    B9       6    A8       4    D7       0&lt;br /&gt;
 H                    9    B10      6    A9       4    D8       0&lt;br /&gt;
 C                    9    B11      6    A10      4    D9       0&lt;br /&gt;
 H                    12   B12      9    A11      6    D10      0&lt;br /&gt;
 C                    12   B13      9    A12      6    D11      0&lt;br /&gt;
 H                    14   B14      12   A13      9    D12      0&lt;br /&gt;
 H                    14   B15      12   A14      9    D13      0&lt;br /&gt;
       Variables:&lt;br /&gt;
  B1                    1.07                     &lt;br /&gt;
  B2                    1.07                     &lt;br /&gt;
  B3                    1.3552                   &lt;br /&gt;
  B4                    1.07                     &lt;br /&gt;
  B5                    1.54                     &lt;br /&gt;
  B6                    1.07                     &lt;br /&gt;
  B7                    1.07                     &lt;br /&gt;
  B8                    1.54                     &lt;br /&gt;
  B9                    1.07                     &lt;br /&gt;
  B10                   1.07                     &lt;br /&gt;
  B11                   1.54                     &lt;br /&gt;
  B12                   1.07                     &lt;br /&gt;
  B13                   1.3552                   &lt;br /&gt;
  B14                   1.07                     &lt;br /&gt;
  B15                   1.07                     &lt;br /&gt;
  A1                  119.88653                  &lt;br /&gt;
  A2                  119.88653                  &lt;br /&gt;
  A3                  119.88653                  &lt;br /&gt;
  A4                  120.22695                  &lt;br /&gt;
  A5                  109.4712                   &lt;br /&gt;
  A6                  109.47123                  &lt;br /&gt;
  A7                  109.4712                   &lt;br /&gt;
  A8                  109.4712                   &lt;br /&gt;
  A9                  109.47123                  &lt;br /&gt;
  A10                 109.4712                   &lt;br /&gt;
  A11                 119.88653                  &lt;br /&gt;
  A12                 120.22695                  &lt;br /&gt;
  A13                 120.22695                  &lt;br /&gt;
  A14                 119.88653                  &lt;br /&gt;
  D1                  180.                       &lt;br /&gt;
  D2                 -180.                       &lt;br /&gt;
  D3                    0.                       &lt;br /&gt;
  D4                   59.88889                  &lt;br /&gt;
  D5                  -60.1111                   &lt;br /&gt;
  D6                  179.88891                  &lt;br /&gt;
  D7                 -179.99085                  &lt;br /&gt;
  D8                  -59.99086                  &lt;br /&gt;
  D9                   60.00913                  &lt;br /&gt;
  D10                  40.79999                  &lt;br /&gt;
  D11                -139.20001                  &lt;br /&gt;
  D12                -173.70011                  &lt;br /&gt;
  D13                   6.29989                  &lt;br /&gt;
 &lt;br /&gt;
     6 tetrahedral angles replaced.&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Initialization pass.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !    Initial Parameters    !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R2    R(1,3)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R3    R(1,4)                  1.3552         estimate D2E/DX2                !&lt;br /&gt;
 ! R4    R(4,5)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R5    R(4,6)                  1.54           estimate D2E/DX2                !&lt;br /&gt;
 ! R6    R(6,7)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R7    R(6,8)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R8    R(6,9)                  1.54           estimate D2E/DX2                !&lt;br /&gt;
 ! R9    R(9,10)                 1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R10   R(9,11)                 1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R11   R(9,12)                 1.54           estimate D2E/DX2                !&lt;br /&gt;
 ! R12   R(12,13)                1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R13   R(12,14)                1.3552         estimate D2E/DX2                !&lt;br /&gt;
 ! R14   R(14,15)                1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R15   R(14,16)                1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! A1    A(2,1,3)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A2    A(2,1,4)              120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A3    A(3,1,4)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A4    A(1,4,5)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A5    A(1,4,6)              120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A6    A(5,4,6)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A7    A(4,6,7)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A8    A(4,6,8)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A9    A(4,6,9)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A10   A(7,6,8)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A11   A(7,6,9)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A12   A(8,6,9)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A13   A(6,9,10)             109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A14   A(6,9,11)             109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A15   A(6,9,12)             109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A16   A(10,9,11)            109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A17   A(10,9,12)            109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A18   A(11,9,12)            109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A19   A(9,12,13)            119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A20   A(9,12,14)            120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A21   A(13,12,14)           119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A22   A(12,14,15)           120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A23   A(12,14,16)           119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A24   A(15,14,16)           119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! D1    D(2,1,4,5)              0.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D2    D(2,1,4,6)            180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D3    D(3,1,4,5)            180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D4    D(3,1,4,6)              0.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D5    D(1,4,6,7)             59.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D6    D(1,4,6,8)            -60.1111         estimate D2E/DX2                !&lt;br /&gt;
 ! D7    D(1,4,6,9)            179.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D8    D(5,4,6,7)           -120.1111         estimate D2E/DX2                !&lt;br /&gt;
 ! D9    D(5,4,6,8)            119.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D10   D(5,4,6,9)             -0.1111         estimate D2E/DX2                !&lt;br /&gt;
 ! D11   D(4,6,9,10)          -179.9909         estimate D2E/DX2                !&lt;br /&gt;
 ! D12   D(4,6,9,11)           -59.9909         estimate D2E/DX2                !&lt;br /&gt;
 ! D13   D(4,6,9,12)            60.0091         estimate D2E/DX2                !&lt;br /&gt;
 ! D14   D(7,6,9,10)           -59.9908         estimate D2E/DX2                !&lt;br /&gt;
 ! D15   D(7,6,9,11)            60.0091         estimate D2E/DX2                !&lt;br /&gt;
 ! D16   D(7,6,9,12)          -179.9909         estimate D2E/DX2                !&lt;br /&gt;
 ! D17   D(8,6,9,10)            60.0092         estimate D2E/DX2                !&lt;br /&gt;
 ! D18   D(8,6,9,11)          -179.9909         estimate D2E/DX2                !&lt;br /&gt;
 ! D19   D(8,6,9,12)           -59.9909         estimate D2E/DX2                !&lt;br /&gt;
 ! D20   D(6,9,12,13)           40.8            estimate D2E/DX2                !&lt;br /&gt;
 ! D21   D(6,9,12,14)         -139.2            estimate D2E/DX2                !&lt;br /&gt;
 ! D22   D(10,9,12,13)         -79.2            estimate D2E/DX2                !&lt;br /&gt;
 ! D23   D(10,9,12,14)         100.8            estimate D2E/DX2                !&lt;br /&gt;
 ! D24   D(11,9,12,13)         160.8            estimate D2E/DX2                !&lt;br /&gt;
 ! D25   D(11,9,12,14)         -19.2            estimate D2E/DX2                !&lt;br /&gt;
 ! D26   D(9,12,14,15)        -173.7001         estimate D2E/DX2                !&lt;br /&gt;
 ! D27   D(9,12,14,16)           6.2999         estimate D2E/DX2                !&lt;br /&gt;
 ! D28   D(13,12,14,15)          6.2999         estimate D2E/DX2                !&lt;br /&gt;
 ! D29   D(13,12,14,16)       -173.7001         estimate D2E/DX2                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 Trust Radius=3.00D-01 FncErr=1.00D-07 GrdErr=1.00D-07&lt;br /&gt;
 Number of steps in this run=  78 maximum allowed number of steps= 100.&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.000000    0.000000    0.000000&lt;br /&gt;
    2          1             0        0.000000    0.000000    1.070000&lt;br /&gt;
    3          1             0        0.927705    0.000000   -0.533164&lt;br /&gt;
    4          6             0       -1.170944    0.000000   -0.682243&lt;br /&gt;
    5          1             0       -2.098649    0.000000   -0.149080&lt;br /&gt;
    6          6             0       -1.170944    0.000000   -2.222243&lt;br /&gt;
    7          1             0       -0.664848   -0.872672   -2.578910&lt;br /&gt;
    8          1             0       -0.668237    0.874628   -2.578910&lt;br /&gt;
    9          6             0       -2.622868   -0.002815   -2.735577&lt;br /&gt;
   10          1             0       -2.622867   -0.002976   -3.805577&lt;br /&gt;
   11          1             0       -3.125622   -0.877363   -2.378779&lt;br /&gt;
   12          6             0       -3.351201    1.253295   -2.222432&lt;br /&gt;
   13          1             0       -2.844099    2.195400   -2.208745&lt;br /&gt;
   14          6             0       -4.632195    1.169553   -1.788141&lt;br /&gt;
   15          1             0       -5.171371    2.056020   -1.526673&lt;br /&gt;
   16          1             0       -5.106055    0.213687   -1.706434&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.070000   0.000000&lt;br /&gt;
     3  H    1.070000   1.852234   0.000000&lt;br /&gt;
     4  C    1.355200   2.107479   2.103938   0.000000&lt;br /&gt;
     5  H    2.103938   2.427032   3.050630   1.070000   0.000000&lt;br /&gt;
     6  C    2.511867   3.494278   2.693941   1.540000   2.271265&lt;br /&gt;
     7  H    2.802562   3.810266   2.735482   2.148263   2.953204&lt;br /&gt;
     8  H    2.803978   3.811307   2.738080   2.148263   2.952140&lt;br /&gt;
     9  C    3.789832   4.621889   4.178181   2.514809   2.639087&lt;br /&gt;
    10  H    4.621889   5.536307   4.828588   3.444314   3.693885&lt;br /&gt;
    11  H    4.024657   4.736386   4.539330   2.732904   2.606913&lt;br /&gt;
    12  C    4.211947   4.862243   4.767957   2.948974   2.727348&lt;br /&gt;
    13  H    4.217492   4.864036   4.674811   3.154272   3.101241&lt;br /&gt;
    14  C    5.101228   5.567230   5.818531   3.817213   3.236237&lt;br /&gt;
    15  H    5.770704   6.141092   6.512527   4.576428   3.945453&lt;br /&gt;
    16  H    5.387892   5.816016   6.150487   4.071821   3.393450&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.070000   0.000000&lt;br /&gt;
     8  H    1.070000   1.747303   0.000000&lt;br /&gt;
     9  C    1.540000   2.148263   2.148263   0.000000&lt;br /&gt;
    10  H    2.148263   2.468789   2.468903   1.070000   0.000000&lt;br /&gt;
    11  H    2.148263   2.468903   3.024610   1.070000   1.747303&lt;br /&gt;
    12  C    2.514809   3.444314   2.732904   1.540000   2.148263&lt;br /&gt;
    13  H    2.760328   3.781431   2.572127   2.271265   2.726109&lt;br /&gt;
    14  C    3.679205   4.531648   4.052809   2.511867   3.079329&lt;br /&gt;
    15  H    4.551313   5.476603   4.772956   3.492151   3.990957&lt;br /&gt;
    16  H    3.974521   4.654644   4.570809   2.696707   3.258767&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.148263   0.000000&lt;br /&gt;
    13  H    3.090313   1.070000   0.000000&lt;br /&gt;
    14  C    2.609306   1.355200   2.103938   0.000000&lt;br /&gt;
    15  H    3.676398   2.107479   2.429165   1.070000   0.000000&lt;br /&gt;
    16  H    2.358930   2.103938   3.048925   1.070000   1.852234&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.631396   -0.689408    0.045797&lt;br /&gt;
    2          1             0        3.040326   -1.650823   -0.185195&lt;br /&gt;
    3          1             0        3.252741    0.062634    0.485415&lt;br /&gt;
    4          6             0        1.329210   -0.420958   -0.216526&lt;br /&gt;
    5          1             0        0.707864   -1.172999   -0.656144&lt;br /&gt;
    6          6             0        0.740656    0.962761    0.115930&lt;br /&gt;
    7          1             0        1.273325    1.716380   -0.425572&lt;br /&gt;
    8          1             0        0.832115    1.146297    1.166096&lt;br /&gt;
    9          6             0       -0.746175    0.997680   -0.283712&lt;br /&gt;
   10          1             0       -1.155064    1.959147   -0.052867&lt;br /&gt;
   11          1             0       -0.837646    0.813986   -1.333850&lt;br /&gt;
   12          6             0       -1.512862   -0.086816    0.495814&lt;br /&gt;
   13          1             0       -1.292876   -0.256734    1.529078&lt;br /&gt;
   14          6             0       -2.465211   -0.826701   -0.122382&lt;br /&gt;
   15          1             0       -3.067144   -1.509009    0.440674&lt;br /&gt;
   16          1             0       -2.615723   -0.728233   -1.177157&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.4459526      1.8462552      1.5995848&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       216.2821967740 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state of the initial guess is 1-A.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.680011805     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.3148D-08             -V/T =  2.0024&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.17899 -11.17316 -11.16695 -11.16474 -11.16143&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.15592  -1.09556  -1.03729  -0.97249  -0.85551&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.76868  -0.75592  -0.64237  -0.61956  -0.61830&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.60033  -0.54668  -0.53184  -0.49328  -0.48153&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.46704  -0.35581  -0.34689&lt;br /&gt;
 Alpha virt. eigenvalues --    0.16103   0.20070   0.28941   0.29409   0.30487&lt;br /&gt;
 Alpha virt. eigenvalues --    0.31266   0.33121   0.35405   0.37208   0.37643&lt;br /&gt;
 Alpha virt. eigenvalues --    0.38720   0.39471   0.45298   0.48775   0.50589&lt;br /&gt;
 Alpha virt. eigenvalues --    0.55599   0.58039   0.88037   0.88971   0.93811&lt;br /&gt;
 Alpha virt. eigenvalues --    0.97529   0.99171   1.00866   1.02279   1.02638&lt;br /&gt;
 Alpha virt. eigenvalues --    1.05545   1.09921   1.10058   1.10313   1.17381&lt;br /&gt;
 Alpha virt. eigenvalues --    1.18706   1.22143   1.29373   1.32252   1.35593&lt;br /&gt;
 Alpha virt. eigenvalues --    1.36883   1.38177   1.38952   1.42546   1.42676&lt;br /&gt;
 Alpha virt. eigenvalues --    1.44398   1.46880   1.59909   1.64109   1.67799&lt;br /&gt;
 Alpha virt. eigenvalues --    1.73981   1.76885   2.02988   2.09321   2.21154&lt;br /&gt;
 Alpha virt. eigenvalues --    2.55576&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    5.218767   0.394615   0.400533   0.539071  -0.037784  -0.086464&lt;br /&gt;
     2  H    0.394615   0.463871  -0.019254  -0.049935  -0.001260   0.002484&lt;br /&gt;
     3  H    0.400533  -0.019254   0.467347  -0.055388   0.001928  -0.001064&lt;br /&gt;
     4  C    0.539071  -0.049935  -0.055388   5.308785   0.396238   0.264753&lt;br /&gt;
     5  H   -0.037784  -0.001260   0.001928   0.396238   0.431890  -0.033529&lt;br /&gt;
     6  C   -0.086464   0.002484  -0.001064   0.264753  -0.033529   5.463379&lt;br /&gt;
     7  H   -0.001783  -0.000016   0.000770  -0.044664   0.001548   0.389715&lt;br /&gt;
     8  H   -0.001732  -0.000019   0.000793  -0.046864   0.001587   0.387810&lt;br /&gt;
     9  C    0.003062  -0.000069   0.000002  -0.084356  -0.004923   0.246949&lt;br /&gt;
    10  H   -0.000054   0.000000   0.000001   0.004083   0.000152  -0.044824&lt;br /&gt;
    11  H    0.000019   0.000000   0.000003  -0.000936   0.001080  -0.042804&lt;br /&gt;
    12  C    0.000049  -0.000002  -0.000003  -0.005395   0.004442  -0.093327&lt;br /&gt;
    13  H   -0.000029   0.000000   0.000001   0.000358   0.000192  -0.001075&lt;br /&gt;
    14  C    0.000012   0.000000   0.000000  -0.000507   0.001523   0.002439&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000  -0.000002   0.000027  -0.000079&lt;br /&gt;
    16  H    0.000000   0.000000   0.000000   0.000005   0.000055   0.000050&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C   -0.001783  -0.001732   0.003062  -0.000054   0.000019   0.000049&lt;br /&gt;
     2  H   -0.000016  -0.000019  -0.000069   0.000000   0.000000  -0.000002&lt;br /&gt;
     3  H    0.000770   0.000793   0.000002   0.000001   0.000003  -0.000003&lt;br /&gt;
     4  C   -0.044664  -0.046864  -0.084356   0.004083  -0.000936  -0.005395&lt;br /&gt;
     5  H    0.001548   0.001587  -0.004923   0.000152   0.001080   0.004442&lt;br /&gt;
     6  C    0.389715   0.387810   0.246949  -0.044824  -0.042804  -0.093327&lt;br /&gt;
     7  H    0.483462  -0.022461  -0.039150  -0.001386  -0.001654   0.003952&lt;br /&gt;
     8  H   -0.022461   0.494514  -0.042986  -0.001451   0.003190  -0.002037&lt;br /&gt;
     9  C   -0.039150  -0.042986   5.434476   0.390510   0.391875   0.277864&lt;br /&gt;
    10  H   -0.001386  -0.001451   0.390510   0.489320  -0.021580  -0.045264&lt;br /&gt;
    11  H   -0.001654   0.003190   0.391875  -0.021580   0.490053  -0.048369&lt;br /&gt;
    12  C    0.003952  -0.002037   0.277864  -0.045264  -0.048369   5.300878&lt;br /&gt;
    13  H    0.000003   0.001825  -0.032491   0.000505   0.001759   0.396515&lt;br /&gt;
    14  C   -0.000067   0.000044  -0.083424  -0.000702   0.001223   0.535681&lt;br /&gt;
    15  H    0.000001   0.000001   0.002620  -0.000059   0.000073  -0.050894&lt;br /&gt;
    16  H    0.000000   0.000002  -0.001603   0.000108   0.002079  -0.054613&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C   -0.000029   0.000012   0.000000   0.000000&lt;br /&gt;
     2  H    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     3  H    0.000001   0.000000   0.000000   0.000000&lt;br /&gt;
     4  C    0.000358  -0.000507  -0.000002   0.000005&lt;br /&gt;
     5  H    0.000192   0.001523   0.000027   0.000055&lt;br /&gt;
     6  C   -0.001075   0.002439  -0.000079   0.000050&lt;br /&gt;
     7  H    0.000003  -0.000067   0.000001   0.000000&lt;br /&gt;
     8  H    0.001825   0.000044   0.000001   0.000002&lt;br /&gt;
     9  C   -0.032491  -0.083424   0.002620  -0.001603&lt;br /&gt;
    10  H    0.000505  -0.000702  -0.000059   0.000108&lt;br /&gt;
    11  H    0.001759   0.001223   0.000073   0.002079&lt;br /&gt;
    12  C    0.396515   0.535681  -0.050894  -0.054613&lt;br /&gt;
    13  H    0.442037  -0.038315  -0.001270   0.001999&lt;br /&gt;
    14  C   -0.038315   5.215162   0.393519   0.399446&lt;br /&gt;
    15  H   -0.001270   0.393519   0.463608  -0.018978&lt;br /&gt;
    16  H    0.001999   0.399446  -0.018978   0.463958&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.428282&lt;br /&gt;
     2  H    0.209584&lt;br /&gt;
     3  H    0.204333&lt;br /&gt;
     4  C   -0.225248&lt;br /&gt;
     5  H    0.236834&lt;br /&gt;
     6  C   -0.454411&lt;br /&gt;
     7  H    0.231732&lt;br /&gt;
     8  H    0.227784&lt;br /&gt;
     9  C   -0.458357&lt;br /&gt;
    10  H    0.230642&lt;br /&gt;
    11  H    0.223991&lt;br /&gt;
    12  C   -0.219477&lt;br /&gt;
    13  H    0.227985&lt;br /&gt;
    14  C   -0.426034&lt;br /&gt;
    15  H    0.211432&lt;br /&gt;
    16  H    0.207493&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Atomic charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.014365&lt;br /&gt;
     2  H    0.000000&lt;br /&gt;
     3  H    0.000000&lt;br /&gt;
     4  C    0.011586&lt;br /&gt;
     5  H    0.000000&lt;br /&gt;
     6  C    0.005104&lt;br /&gt;
     7  H    0.000000&lt;br /&gt;
     8  H    0.000000&lt;br /&gt;
     9  C   -0.003725&lt;br /&gt;
    10  H    0.000000&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    0.008508&lt;br /&gt;
    13  H    0.000000&lt;br /&gt;
    14  C   -0.007108&lt;br /&gt;
    15  H    0.000000&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=   791.4111&lt;br /&gt;
 Charge=     0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=    -0.1174    Y=     0.3833    Z=     0.0373  Tot=     0.4026&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=   -40.0429   YY=   -38.2156   ZZ=   -38.7022&lt;br /&gt;
   XY=     1.3318   XZ=     1.0389   YZ=     0.5336&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=    -1.0560   YY=     0.7713   ZZ=     0.2847&lt;br /&gt;
   XY=     1.3318   XZ=     1.0389   YZ=     0.5336&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=     6.6005  YYY=     1.4837  ZZZ=     0.9287  XYY=     1.3530&lt;br /&gt;
  XXY=    -5.4762  XXZ=     1.3242  XZZ=    -5.3156  YZZ=     0.5391&lt;br /&gt;
  YYZ=    -0.9851  XYZ=     2.3459&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX=  -804.6113 YYYY=  -205.2303 ZZZZ=   -80.7264 XXXY=    16.1269&lt;br /&gt;
 XXXZ=    14.1153 YYYX=    -4.4401 YYYZ=     0.9434 ZZZX=     3.7452&lt;br /&gt;
 ZZZY=     0.5319 XXYY=  -156.2937 XXZZ=  -151.7633 YYZZ=   -49.6485&lt;br /&gt;
 XXYZ=     0.5548 YYXZ=    -5.0242 ZZXY=     5.3270&lt;br /&gt;
 N-N= 2.162821967740D+02 E-N=-9.706724546924D+02  KE= 2.311285951847D+02&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.050113709   -0.000070544   -0.021421797&lt;br /&gt;
    2          1           0.004841326   -0.000220877    0.001973779&lt;br /&gt;
    3          1           0.004918243    0.000289995    0.002974656&lt;br /&gt;
    4          6           0.058398598   -0.001156413    0.011894652&lt;br /&gt;
    5          1          -0.003517135    0.000306281   -0.002606859&lt;br /&gt;
    6          6          -0.021126513   -0.004343293    0.020675281&lt;br /&gt;
    7          1           0.007279346   -0.006909453   -0.003485039&lt;br /&gt;
    8          1           0.006062354    0.007148413   -0.004153682&lt;br /&gt;
    9          6           0.008823913    0.028365447    0.013326795&lt;br /&gt;
   10          1          -0.001838593   -0.000645711   -0.011278863&lt;br /&gt;
   11          1          -0.006074853   -0.007592987    0.000930788&lt;br /&gt;
   12          6          -0.051210488   -0.025823514    0.009125922&lt;br /&gt;
   13          1           0.003495608    0.001660199   -0.006388602&lt;br /&gt;
   14          6           0.050073739    0.009795737   -0.014990663&lt;br /&gt;
   15          1          -0.003601018   -0.001354586    0.005670867&lt;br /&gt;
   16          1          -0.006410818    0.000551307   -0.002247235&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.058398598 RMS     0.017882901&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.043160641 RMS     0.009068874&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   1 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Second derivative matrix not updated -- first step.&lt;br /&gt;
     Eigenvalues ---    0.00237   0.00237   0.00237   0.01215   0.01215&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02681   0.02681   0.02681   0.04356&lt;br /&gt;
     Eigenvalues ---    0.04356   0.05410   0.05410   0.08669   0.08669&lt;br /&gt;
     Eigenvalues ---    0.12376   0.12376   0.16000   0.16000   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16000   0.21983   0.21983&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22000   0.28519   0.28519   0.28519&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.53930   0.539301000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.58282110D-02.&lt;br /&gt;
 Linear search not attempted -- first point.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.05775322 RMS(Int)=  0.00124955&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00181336 RMS(Int)=  0.00017550&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000144 RMS(Int)=  0.00017550&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00017550&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02201   0.00197   0.00000   0.00509   0.00509   2.02709&lt;br /&gt;
    R2        2.02201   0.00278   0.00000   0.00717   0.00717   2.02917&lt;br /&gt;
    R3        2.56096  -0.04316   0.00000  -0.07775  -0.07775   2.48321&lt;br /&gt;
    R4        2.02201   0.00175   0.00000   0.00451   0.00451   2.02652&lt;br /&gt;
    R5        2.91018  -0.00719   0.00000  -0.02387  -0.02387   2.88631&lt;br /&gt;
    R6        2.02201   0.01024   0.00000   0.02638   0.02638   2.04839&lt;br /&gt;
    R7        2.02201   0.01008   0.00000   0.02596   0.02596   2.04797&lt;br /&gt;
    R8        2.91018   0.00830   0.00000   0.02757   0.02757   2.93775&lt;br /&gt;
    R9        2.02201   0.01128   0.00000   0.02906   0.02906   2.05107&lt;br /&gt;
   R10        2.02201   0.00937   0.00000   0.02414   0.02414   2.04615&lt;br /&gt;
   R11        2.91018  -0.01170   0.00000  -0.03886  -0.03886   2.87132&lt;br /&gt;
   R12        2.02201   0.00304   0.00000   0.00782   0.00782   2.02983&lt;br /&gt;
   R13        2.56096  -0.04213   0.00000  -0.07589  -0.07589   2.48506&lt;br /&gt;
   R14        2.02201   0.00208   0.00000   0.00535   0.00535   2.02736&lt;br /&gt;
   R15        2.02201   0.00217   0.00000   0.00560   0.00560   2.02761&lt;br /&gt;
    A1        2.09241  -0.00665   0.00000  -0.03784  -0.03784   2.05458&lt;br /&gt;
    A2        2.09836   0.00314   0.00000   0.01784   0.01784   2.11619&lt;br /&gt;
    A3        2.09241   0.00352   0.00000   0.02000   0.02000   2.11242&lt;br /&gt;
    A4        2.09241  -0.00261   0.00000  -0.00521  -0.00521   2.08720&lt;br /&gt;
    A5        2.09836   0.01334   0.00000   0.05657   0.05657   2.15493&lt;br /&gt;
    A6        2.09241  -0.01073   0.00000  -0.05136  -0.05136   2.04105&lt;br /&gt;
    A7        1.91063  -0.00447   0.00000  -0.01952  -0.02001   1.89062&lt;br /&gt;
    A8        1.91063  -0.00295   0.00000  -0.00721  -0.00759   1.90304&lt;br /&gt;
    A9        1.91063   0.01182   0.00000   0.05770   0.05741   1.96805&lt;br /&gt;
   A10        1.91063   0.00016   0.00000  -0.02431  -0.02458   1.88605&lt;br /&gt;
   A11        1.91063  -0.00155   0.00000   0.00128   0.00128   1.91191&lt;br /&gt;
   A12        1.91063  -0.00301   0.00000  -0.00795  -0.00817   1.90246&lt;br /&gt;
   A13        1.91063  -0.00165   0.00000  -0.00021  -0.00002   1.91061&lt;br /&gt;
   A14        1.91063  -0.00191   0.00000   0.00155   0.00139   1.91203&lt;br /&gt;
   A15        1.91063   0.01128   0.00000   0.05463   0.05438   1.96501&lt;br /&gt;
   A16        1.91063   0.00019   0.00000  -0.02183  -0.02215   1.88848&lt;br /&gt;
   A17        1.91063  -0.00445   0.00000  -0.02271  -0.02311   1.88753&lt;br /&gt;
   A18        1.91063  -0.00346   0.00000  -0.01143  -0.01208   1.89855&lt;br /&gt;
   A19        2.09241  -0.01176   0.00000  -0.05654  -0.05654   2.03588&lt;br /&gt;
   A20        2.09836   0.01434   0.00000   0.06080   0.06080   2.15916&lt;br /&gt;
   A21        2.09241  -0.00257   0.00000  -0.00426  -0.00426   2.08815&lt;br /&gt;
   A22        2.09836   0.00336   0.00000   0.01912   0.01912   2.11748&lt;br /&gt;
   A23        2.09241   0.00324   0.00000   0.01844   0.01844   2.11085&lt;br /&gt;
   A24        2.09241  -0.00660   0.00000  -0.03756  -0.03756   2.05486&lt;br /&gt;
    D1        0.00000   0.00021   0.00000   0.00505   0.00506   0.00506&lt;br /&gt;
    D2        3.14159   0.00018   0.00000   0.00400   0.00399  -3.13760&lt;br /&gt;
    D3        3.14159   0.00027   0.00000   0.00649   0.00650  -3.13510&lt;br /&gt;
    D4        0.00000   0.00024   0.00000   0.00543   0.00542   0.00542&lt;br /&gt;
    D5        1.04526  -0.00231   0.00000  -0.02346  -0.02324   1.02202&lt;br /&gt;
    D6       -1.04914   0.00204   0.00000   0.02268   0.02260  -1.02653&lt;br /&gt;
    D7        3.13965   0.00030   0.00000   0.00149   0.00133   3.14098&lt;br /&gt;
    D8       -2.09633  -0.00234   0.00000  -0.02451  -0.02428  -2.12062&lt;br /&gt;
    D9        2.09246   0.00201   0.00000   0.02162   0.02156   2.11401&lt;br /&gt;
   D10       -0.00194   0.00027   0.00000   0.00044   0.00028  -0.00166&lt;br /&gt;
   D11       -3.14143   0.00140   0.00000   0.02940   0.02944  -3.11199&lt;br /&gt;
   D12       -1.04704  -0.00054   0.00000   0.00348   0.00323  -1.04381&lt;br /&gt;
   D13        1.04736   0.00096   0.00000   0.02388   0.02382   1.07118&lt;br /&gt;
   D14       -1.04704   0.00222   0.00000   0.04161   0.04188  -1.00516&lt;br /&gt;
   D15        1.04736   0.00028   0.00000   0.01569   0.01567   1.06303&lt;br /&gt;
   D16       -3.14143   0.00177   0.00000   0.03609   0.03626  -3.10518&lt;br /&gt;
   D17        1.04736  -0.00038   0.00000   0.00776   0.00784   1.05520&lt;br /&gt;
   D18       -3.14143  -0.00232   0.00000  -0.01816  -0.01837   3.12338&lt;br /&gt;
   D19       -1.04704  -0.00082   0.00000   0.00224   0.00222  -1.04482&lt;br /&gt;
   D20        0.71209   0.00040   0.00000   0.02394   0.02383   0.73592&lt;br /&gt;
   D21       -2.42950   0.00040   0.00000   0.02418   0.02407  -2.40543&lt;br /&gt;
   D22       -1.38230  -0.00177   0.00000   0.00464   0.00496  -1.37734&lt;br /&gt;
   D23        1.75929  -0.00176   0.00000   0.00489   0.00520   1.76449&lt;br /&gt;
   D24        2.80649   0.00284   0.00000   0.05229   0.05208   2.85857&lt;br /&gt;
   D25       -0.33510   0.00285   0.00000   0.05253   0.05232  -0.28278&lt;br /&gt;
   D26       -3.03164  -0.00375   0.00000  -0.08787  -0.08788  -3.11951&lt;br /&gt;
   D27        0.10995  -0.00372   0.00000  -0.08736  -0.08736   0.02259&lt;br /&gt;
   D28        0.10995  -0.00374   0.00000  -0.08763  -0.08763   0.02232&lt;br /&gt;
   D29       -3.03164  -0.00372   0.00000  -0.08712  -0.08712  -3.11876&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.043161     0.000450     NO &lt;br /&gt;
 RMS     Force            0.009069     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.161413     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.057353     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-8.609773D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.039402   -0.022075    0.005762&lt;br /&gt;
    2          1             0        0.054754   -0.044835    1.078102&lt;br /&gt;
    3          1             0        0.982697   -0.003939   -0.506972&lt;br /&gt;
    4          6             0       -1.093634   -0.014957   -0.659764&lt;br /&gt;
    5          1             0       -2.022508   -0.027451   -0.123994&lt;br /&gt;
    6          6             0       -1.174597    0.011959   -2.184747&lt;br /&gt;
    7          1             0       -0.652954   -0.857021   -2.569109&lt;br /&gt;
    8          1             0       -0.667323    0.897220   -2.550087&lt;br /&gt;
    9          6             0       -2.637976    0.014292   -2.709398&lt;br /&gt;
   10          1             0       -2.633208    0.003458   -3.794711&lt;br /&gt;
   11          1             0       -3.147982   -0.876407   -2.364501&lt;br /&gt;
   12          6             0       -3.420075    1.233946   -2.251733&lt;br /&gt;
   13          1             0       -2.905514    2.176256   -2.284225&lt;br /&gt;
   14          6             0       -4.664517    1.186670   -1.829293&lt;br /&gt;
   15          1             0       -5.187292    2.075648   -1.533667&lt;br /&gt;
   16          1             0       -5.191471    0.253993   -1.768571&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.072691   0.000000&lt;br /&gt;
     3  H    1.073793   1.837175   0.000000&lt;br /&gt;
     4  C    1.314057   2.083234   2.081974   0.000000&lt;br /&gt;
     5  H    2.065995   2.400074   3.029601   1.072387   0.000000&lt;br /&gt;
     6  C    2.504652   3.487221   2.732965   1.527368   2.228724&lt;br /&gt;
     7  H    2.794003   3.802978   2.766859   2.132808   2.922748&lt;br /&gt;
     8  H    2.806587   3.817410   2.776503   2.141759   2.928732&lt;br /&gt;
     9  C    3.813368   4.647521   4.237958   2.566486   2.657980&lt;br /&gt;
    10  H    4.646191   5.565230   4.887131   3.492638   3.721300&lt;br /&gt;
    11  H    4.062936   4.774991   4.612387   2.805097   2.647129&lt;br /&gt;
    12  C    4.317621   4.979711   4.894992   3.083254   2.841055&lt;br /&gt;
    13  H    4.330038   5.000168   4.798965   3.274630   3.209770&lt;br /&gt;
    14  C    5.191854   5.678122   5.920904   3.944986   3.370808&lt;br /&gt;
    15  H    5.838545   6.228711   6.591475   4.678929   4.052908&lt;br /&gt;
    16  H    5.530507   5.976264   6.307021   4.253711   3.581365&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083961   0.000000&lt;br /&gt;
     8  H    1.083738   1.754402   0.000000&lt;br /&gt;
     9  C    1.554588   2.172368   2.165275   0.000000&lt;br /&gt;
    10  H    2.172465   2.482726   2.492509   1.085378   0.000000&lt;br /&gt;
    11  H    2.171578   2.503478   3.055137   1.082776   1.756319&lt;br /&gt;
    12  C    2.557325   3.482790   2.789273   1.519437   2.124627&lt;br /&gt;
    13  H    2.773113   3.788926   2.591548   2.219558   2.660220&lt;br /&gt;
    14  C    3.699437   4.562525   4.071963   2.501183   3.064159&lt;br /&gt;
    15  H    4.558995   5.498446   4.780369   3.482893   3.991195&lt;br /&gt;
    16  H    4.045622   4.740607   4.635993   2.731839   3.273029&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.130807   0.000000&lt;br /&gt;
    13  H    3.063330   1.074140   0.000000&lt;br /&gt;
    14  C    2.615839   1.315039   2.068897   0.000000&lt;br /&gt;
    15  H    3.682893   2.084979   2.404157   1.072833   0.000000&lt;br /&gt;
    16  H    2.410142   2.081249   3.030940   1.072965   1.836743&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.675475   -0.664822    0.048062&lt;br /&gt;
    2          1             0        3.108235   -1.616337   -0.192780&lt;br /&gt;
    3          1             0        3.310740    0.072206    0.502219&lt;br /&gt;
    4          6             0        1.411161   -0.408144   -0.201685&lt;br /&gt;
    5          1             0        0.796163   -1.163368   -0.650492&lt;br /&gt;
    6          6             0        0.744602    0.929075    0.115167&lt;br /&gt;
    7          1             0        1.277874    1.709777   -0.415019&lt;br /&gt;
    8          1             0        0.831723    1.124512    1.177571&lt;br /&gt;
    9          6             0       -0.757490    0.961897   -0.284063&lt;br /&gt;
   10          1             0       -1.168947    1.941885   -0.064130&lt;br /&gt;
   11          1             0       -0.853551    0.785758   -1.348089&lt;br /&gt;
   12          6             0       -1.581846   -0.075301    0.459812&lt;br /&gt;
   13          1             0       -1.374267   -0.195064    1.506877&lt;br /&gt;
   14          6             0       -2.511969   -0.811931   -0.107261&lt;br /&gt;
   15          1             0       -3.085480   -1.519677    0.459442&lt;br /&gt;
   16          1             0       -2.722088   -0.724336   -1.155799&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.8293240      1.7657160      1.5491967&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       215.8868620979 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.688230922     A.U. after   11 cycles&lt;br /&gt;
             Convg  =    0.7341D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.001121020   -0.000000725    0.000251126&lt;br /&gt;
    2          1           0.002272882   -0.000035597    0.000197769&lt;br /&gt;
    3          1           0.002397665   -0.000052224    0.002103335&lt;br /&gt;
    4          6          -0.000905598    0.000393821   -0.005129769&lt;br /&gt;
    5          1          -0.002678711    0.000142006   -0.000408006&lt;br /&gt;
    6          6          -0.006691390    0.000165828    0.004571304&lt;br /&gt;
    7          1          -0.000330058    0.000401938   -0.002739222&lt;br /&gt;
    8          1           0.000872529    0.000279117   -0.001593885&lt;br /&gt;
    9          6           0.002458603    0.005564529    0.004149591&lt;br /&gt;
   10          1           0.002312767   -0.001809080   -0.000660855&lt;br /&gt;
   11          1           0.000050296   -0.002080083   -0.001472894&lt;br /&gt;
   12          6           0.002986883   -0.004707821    0.001106092&lt;br /&gt;
   13          1           0.001587680    0.001059945   -0.002300271&lt;br /&gt;
   14          6           0.001603614    0.001405166    0.000571037&lt;br /&gt;
   15          1          -0.001840203   -0.001106727    0.000647471&lt;br /&gt;
   16          1          -0.002975937    0.000379907    0.000707175&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.006691390 RMS     0.002321270&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.006750035 RMS     0.001885949&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   2 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2&lt;br /&gt;
 Trust test= 9.55D-01 RLast= 2.97D-01 DXMaxT set to 4.24D-01&lt;br /&gt;
     Eigenvalues ---    0.00236   0.00237   0.00238   0.01244   0.01248&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02681   0.02681   0.02805   0.03961&lt;br /&gt;
     Eigenvalues ---    0.03980   0.05249   0.05292   0.09226   0.09405&lt;br /&gt;
     Eigenvalues ---    0.12747   0.12791   0.14711   0.16000   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16015   0.20799   0.22000&lt;br /&gt;
     Eigenvalues ---    0.22000   0.23164   0.27959   0.28519   0.29463&lt;br /&gt;
     Eigenvalues ---    0.36672   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37230   0.37434&lt;br /&gt;
     Eigenvalues ---    0.53924   0.593591000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.83375642D-03.&lt;br /&gt;
 Quartic linear search produced a step of  0.02295.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.09060862 RMS(Int)=  0.00419853&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00554749 RMS(Int)=  0.00006170&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00001834 RMS(Int)=  0.00005926&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00005926&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02709   0.00023   0.00012   0.00093   0.00105   2.02814&lt;br /&gt;
    R2        2.02917   0.00110   0.00016   0.00342   0.00359   2.03276&lt;br /&gt;
    R3        2.48321   0.00435  -0.00178   0.00355   0.00177   2.48498&lt;br /&gt;
    R4        2.02652   0.00211   0.00010   0.00602   0.00613   2.03265&lt;br /&gt;
    R5        2.88631  -0.00299  -0.00055  -0.01202  -0.01256   2.87374&lt;br /&gt;
    R6        2.04839   0.00049   0.00061   0.00290   0.00350   2.05189&lt;br /&gt;
    R7        2.04797   0.00117   0.00060   0.00473   0.00533   2.05330&lt;br /&gt;
    R8        2.93775  -0.00675   0.00063  -0.02234  -0.02170   2.91604&lt;br /&gt;
    R9        2.05107   0.00069   0.00067   0.00360   0.00426   2.05533&lt;br /&gt;
   R10        2.04615   0.00122   0.00055   0.00475   0.00530   2.05145&lt;br /&gt;
   R11        2.87132  -0.00286  -0.00089  -0.01245  -0.01334   2.85798&lt;br /&gt;
   R12        2.02983   0.00176   0.00018   0.00526   0.00543   2.03527&lt;br /&gt;
   R13        2.48506   0.00363  -0.00174   0.00231   0.00057   2.48563&lt;br /&gt;
   R14        2.02736   0.00016   0.00012   0.00075   0.00087   2.02823&lt;br /&gt;
   R15        2.02761   0.00117   0.00013   0.00352   0.00365   2.03126&lt;br /&gt;
    A1        2.05458  -0.00356  -0.00087  -0.02456  -0.02543   2.02915&lt;br /&gt;
    A2        2.11619   0.00104   0.00041   0.00758   0.00799   2.12418&lt;br /&gt;
    A3        2.11242   0.00252   0.00046   0.01698   0.01744   2.12986&lt;br /&gt;
    A4        2.08720   0.00032  -0.00012   0.00406   0.00394   2.09114&lt;br /&gt;
    A5        2.15493   0.00280   0.00130   0.01613   0.01742   2.17235&lt;br /&gt;
    A6        2.04105  -0.00311  -0.00118  -0.02018  -0.02136   2.01969&lt;br /&gt;
    A7        1.89062   0.00267  -0.00046   0.02046   0.01995   1.91057&lt;br /&gt;
    A8        1.90304   0.00131  -0.00017   0.01137   0.01116   1.91420&lt;br /&gt;
    A9        1.96805  -0.00286   0.00132  -0.00790  -0.00655   1.96149&lt;br /&gt;
   A10        1.88605  -0.00096  -0.00056  -0.01169  -0.01242   1.87363&lt;br /&gt;
   A11        1.91191  -0.00088   0.00003  -0.01283  -0.01278   1.89913&lt;br /&gt;
   A12        1.90246   0.00078  -0.00019   0.00042   0.00022   1.90269&lt;br /&gt;
   A13        1.91061  -0.00095   0.00000  -0.01581  -0.01579   1.89483&lt;br /&gt;
   A14        1.91203   0.00045   0.00003  -0.00128  -0.00126   1.91076&lt;br /&gt;
   A15        1.96501  -0.00309   0.00125  -0.00908  -0.00780   1.95721&lt;br /&gt;
   A16        1.88848  -0.00091  -0.00051  -0.01097  -0.01173   1.87675&lt;br /&gt;
   A17        1.88753   0.00268  -0.00053   0.01946   0.01884   1.90637&lt;br /&gt;
   A18        1.89855   0.00191  -0.00028   0.01784   0.01751   1.91606&lt;br /&gt;
   A19        2.03588  -0.00335  -0.00130  -0.02146  -0.02283   2.01305&lt;br /&gt;
   A20        2.15916   0.00342   0.00140   0.01923   0.02055   2.17970&lt;br /&gt;
   A21        2.08815  -0.00006  -0.00010   0.00224   0.00206   2.09021&lt;br /&gt;
   A22        2.11748   0.00110   0.00044   0.00804   0.00848   2.12596&lt;br /&gt;
   A23        2.11085   0.00232   0.00042   0.01564   0.01606   2.12691&lt;br /&gt;
   A24        2.05486  -0.00342  -0.00086  -0.02368  -0.02455   2.03031&lt;br /&gt;
    D1        0.00506   0.00005   0.00012   0.00202   0.00214   0.00721&lt;br /&gt;
    D2       -3.13760   0.00004   0.00009   0.00129   0.00138  -3.13622&lt;br /&gt;
    D3       -3.13510  -0.00002   0.00015  -0.00014   0.00002  -3.13508&lt;br /&gt;
    D4        0.00542  -0.00003   0.00012  -0.00087  -0.00075   0.00468&lt;br /&gt;
    D5        1.02202   0.00066  -0.00053  -0.01324  -0.01371   1.00831&lt;br /&gt;
    D6       -1.02653  -0.00041   0.00052  -0.01702  -0.01656  -1.04309&lt;br /&gt;
    D7        3.14098  -0.00044   0.00003  -0.02032  -0.02030   3.12068&lt;br /&gt;
    D8       -2.12062   0.00065  -0.00056  -0.01394  -0.01443  -2.13505&lt;br /&gt;
    D9        2.11401  -0.00042   0.00049  -0.01772  -0.01728   2.09674&lt;br /&gt;
   D10       -0.00166  -0.00045   0.00001  -0.02102  -0.02103  -0.02268&lt;br /&gt;
   D11       -3.11199   0.00058   0.00068   0.02267   0.02333  -3.08867&lt;br /&gt;
   D12       -1.04381  -0.00082   0.00007  -0.00086  -0.00077  -1.04457&lt;br /&gt;
   D13        1.07118  -0.00014   0.00055   0.01488   0.01539   1.08657&lt;br /&gt;
   D14       -1.00516   0.00147   0.00096   0.03447   0.03541  -0.96975&lt;br /&gt;
   D15        1.06303   0.00006   0.00036   0.01094   0.01132   1.07435&lt;br /&gt;
   D16       -3.10518   0.00075   0.00083   0.02668   0.02748  -3.07769&lt;br /&gt;
   D17        1.05520   0.00025   0.00018   0.01315   0.01334   1.06854&lt;br /&gt;
   D18        3.12338  -0.00115  -0.00042  -0.01038  -0.01075   3.11263&lt;br /&gt;
   D19       -1.04482  -0.00047   0.00005   0.00536   0.00541  -1.03941&lt;br /&gt;
   D20        0.73592   0.00042   0.00055   0.16361   0.16407   0.89999&lt;br /&gt;
   D21       -2.40543   0.00010   0.00055   0.14048   0.14106  -2.26437&lt;br /&gt;
   D22       -1.37734   0.00174   0.00011   0.17590   0.17607  -1.20127&lt;br /&gt;
   D23        1.76449   0.00142   0.00012   0.15277   0.15305   1.91755&lt;br /&gt;
   D24        2.85857   0.00030   0.00120   0.16849   0.16954   3.02812&lt;br /&gt;
   D25       -0.28278  -0.00002   0.00120   0.14535   0.14653  -0.13625&lt;br /&gt;
   D26       -3.11951   0.00004  -0.00202   0.00386   0.00193  -3.11758&lt;br /&gt;
   D27        0.02259  -0.00013  -0.00201  -0.00226  -0.00418   0.01841&lt;br /&gt;
   D28        0.02232  -0.00029  -0.00201  -0.01993  -0.02202   0.00030&lt;br /&gt;
   D29       -3.11876  -0.00047  -0.00200  -0.02605  -0.02813   3.13630&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.006750     0.000450     NO &lt;br /&gt;
 RMS     Force            0.001886     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.418355     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.090860     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.078248D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.018529   -0.030241    0.026135&lt;br /&gt;
    2          1             0       -0.034872   -0.066054    1.098657&lt;br /&gt;
    3          1             0        0.953259   -0.010714   -0.434688&lt;br /&gt;
    4          6             0       -1.126594   -0.012138   -0.681729&lt;br /&gt;
    5          1             0       -2.079763   -0.026722   -0.183498&lt;br /&gt;
    6          6             0       -1.176663    0.031493   -2.200998&lt;br /&gt;
    7          1             0       -0.641152   -0.822142   -2.605385&lt;br /&gt;
    8          1             0       -0.675609    0.927102   -2.557981&lt;br /&gt;
    9          6             0       -2.621685    0.014255   -2.742093&lt;br /&gt;
   10          1             0       -2.584275   -0.007435   -3.828867&lt;br /&gt;
   11          1             0       -3.120318   -0.892473   -2.413923&lt;br /&gt;
   12          6             0       -3.412181    1.223602   -2.295010&lt;br /&gt;
   13          1             0       -2.941966    2.175091   -2.478120&lt;br /&gt;
   14          6             0       -4.604253    1.180344   -1.740744&lt;br /&gt;
   15          1             0       -5.130999    2.072818   -1.461479&lt;br /&gt;
   16          1             0       -5.106596    0.249974   -1.547187&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073245   0.000000&lt;br /&gt;
     3  H    1.075691   1.824997   0.000000&lt;br /&gt;
     4  C    1.314992   2.089148   2.094473   0.000000&lt;br /&gt;
     5  H    2.071869   2.413928   3.043448   1.075629   0.000000&lt;br /&gt;
     6  C    2.511017   3.492983   2.767346   1.520720   2.211173&lt;br /&gt;
     7  H    2.817740   3.828730   2.812914   2.142945   2.927085&lt;br /&gt;
     8  H    2.833004   3.842904   2.835680   2.146132   2.918835&lt;br /&gt;
     9  C    3.800195   4.631351   4.254993   2.545799   2.615677&lt;br /&gt;
    10  H    4.630832   5.548278   4.902510   3.468333   3.680166&lt;br /&gt;
    11  H    4.039606   4.747754   4.613990   2.783959   2.609038&lt;br /&gt;
    12  C    4.298454   4.958468   4.903203   3.058372   2.792334&lt;br /&gt;
    13  H    4.436356   5.125159   4.911836   3.362524   3.294945&lt;br /&gt;
    14  C    5.061249   5.522223   5.831838   3.825917   3.202355&lt;br /&gt;
    15  H    5.724788   6.090942   6.512572   4.581519   3.918079&lt;br /&gt;
    16  H    5.333131   5.729114   6.166641   4.081439   3.331356&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085815   0.000000&lt;br /&gt;
     8  H    1.086558   1.750225   0.000000&lt;br /&gt;
     9  C    1.543103   2.154242   2.157405   0.000000&lt;br /&gt;
    10  H    2.152404   2.436469   2.476190   1.087634   0.000000&lt;br /&gt;
    11  H    2.162602   2.487543   3.050936   1.085581   1.752912&lt;br /&gt;
    12  C    2.535252   3.458324   2.765121   1.512378   2.133916&lt;br /&gt;
    13  H    2.790717   3.780654   2.588480   2.200335   2.591502&lt;br /&gt;
    14  C    3.644182   4.523685   4.020728   2.508593   3.138692&lt;br /&gt;
    15  H    4.511171   5.463336   4.729216   3.489171   4.051886&lt;br /&gt;
    16  H    3.989934   4.712686   4.594982   2.767336   3.410928&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.139415   0.000000&lt;br /&gt;
    13  H    3.073415   1.077016   0.000000&lt;br /&gt;
    14  C    2.636628   1.315339   2.072786   0.000000&lt;br /&gt;
    15  H    3.707147   2.090521   2.415758   1.073294   0.000000&lt;br /&gt;
    16  H    2.449840   2.092422   3.042751   1.074897   1.825021&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.637259   -0.686727    0.061420&lt;br /&gt;
    2          1             0        3.050621   -1.651289   -0.163538&lt;br /&gt;
    3          1             0        3.311612    0.030907    0.494270&lt;br /&gt;
    4          6             0        1.376600   -0.401530   -0.180671&lt;br /&gt;
    5          1             0        0.732042   -1.148537   -0.609043&lt;br /&gt;
    6          6             0        0.728139    0.943751    0.106216&lt;br /&gt;
    7          1             0        1.262907    1.724218   -0.426596&lt;br /&gt;
    8          1             0        0.801930    1.166632    1.167106&lt;br /&gt;
    9          6             0       -0.756284    0.982032   -0.313532&lt;br /&gt;
   10          1             0       -1.141822    1.982689   -0.131891&lt;br /&gt;
   11          1             0       -0.836327    0.789170   -1.378841&lt;br /&gt;
   12          6             0       -1.591147   -0.019948    0.452189&lt;br /&gt;
   13          1             0       -1.491102    0.019899    1.523808&lt;br /&gt;
   14          6             0       -2.417706   -0.884735   -0.094673&lt;br /&gt;
   15          1             0       -3.003530   -1.560495    0.498722&lt;br /&gt;
   16          1             0       -2.547501   -0.950248   -1.159692&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.4291477      1.8346132      1.5855478&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       216.6626914468 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.689302300     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.2633D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.001096469   -0.000248024    0.000613042&lt;br /&gt;
    2          1           0.000084500    0.000066265    0.000096111&lt;br /&gt;
    3          1          -0.000147493    0.000006866    0.000204751&lt;br /&gt;
    4          6          -0.001327840   -0.000295560   -0.001489467&lt;br /&gt;
    5          1           0.000528133    0.000254793    0.000162418&lt;br /&gt;
    6          6           0.000898324    0.000189820    0.001241376&lt;br /&gt;
    7          1           0.000354640    0.000648418    0.000087884&lt;br /&gt;
    8          1          -0.000022838   -0.000438948    0.000108803&lt;br /&gt;
    9          6          -0.001707573   -0.000024833    0.000424747&lt;br /&gt;
   10          1          -0.000209651    0.000323428    0.000579839&lt;br /&gt;
   11          1          -0.000067524    0.000303363   -0.000598601&lt;br /&gt;
   12          6           0.001446021   -0.000754688   -0.003078857&lt;br /&gt;
   13          1           0.000006269   -0.000011019    0.000109530&lt;br /&gt;
   14          6          -0.001030767   -0.000098873    0.001204165&lt;br /&gt;
   15          1           0.000056599   -0.000030602    0.000313567&lt;br /&gt;
   16          1           0.000042732    0.000109594    0.000020691&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.003078857 RMS     0.000765587&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.001732291 RMS     0.000443698&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   3 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2  3&lt;br /&gt;
 Trust test= 9.94D-01 RLast= 4.06D-01 DXMaxT set to 6.00D-01&lt;br /&gt;
     Eigenvalues ---    0.00212   0.00237   0.00246   0.01259   0.01324&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02681   0.02687   0.02782   0.03965&lt;br /&gt;
     Eigenvalues ---    0.03976   0.05193   0.05344   0.09134   0.09604&lt;br /&gt;
     Eigenvalues ---    0.12715   0.12881   0.14603   0.15999   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16012   0.16085   0.20577   0.21997&lt;br /&gt;
     Eigenvalues ---    0.22014   0.23111   0.27552   0.28521   0.31184&lt;br /&gt;
     Eigenvalues ---    0.37090   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37358   0.37441&lt;br /&gt;
     Eigenvalues ---    0.53935   0.592161000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-3.71690196D-04.&lt;br /&gt;
 Quartic linear search produced a step of  0.14913.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.07653665 RMS(Int)=  0.00327681&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00490211 RMS(Int)=  0.00006111&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00001234 RMS(Int)=  0.00006038&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00006038&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02814   0.00009   0.00016   0.00030   0.00045   2.02859&lt;br /&gt;
    R2        2.03276  -0.00022   0.00053  -0.00071  -0.00017   2.03259&lt;br /&gt;
    R3        2.48498   0.00137   0.00026   0.00194   0.00221   2.48718&lt;br /&gt;
    R4        2.03265  -0.00040   0.00091  -0.00135  -0.00044   2.03221&lt;br /&gt;
    R5        2.87374  -0.00040  -0.00187  -0.00140  -0.00327   2.87047&lt;br /&gt;
    R6        2.05189  -0.00037   0.00052  -0.00094  -0.00042   2.05147&lt;br /&gt;
    R7        2.05330  -0.00041   0.00079  -0.00113  -0.00034   2.05296&lt;br /&gt;
    R8        2.91604   0.00173  -0.00324   0.00785   0.00461   2.92065&lt;br /&gt;
    R9        2.05533  -0.00059   0.00064  -0.00162  -0.00098   2.05435&lt;br /&gt;
   R10        2.05145  -0.00040   0.00079  -0.00113  -0.00034   2.05111&lt;br /&gt;
   R11        2.85798  -0.00132  -0.00199  -0.00517  -0.00716   2.85083&lt;br /&gt;
   R12        2.03527  -0.00003   0.00081  -0.00018   0.00063   2.03590&lt;br /&gt;
   R13        2.48563   0.00149   0.00008   0.00227   0.00235   2.48798&lt;br /&gt;
   R14        2.02823   0.00003   0.00013   0.00011   0.00024   2.02847&lt;br /&gt;
   R15        2.03126  -0.00011   0.00054  -0.00040   0.00015   2.03141&lt;br /&gt;
    A1        2.02915  -0.00014  -0.00379  -0.00050  -0.00429   2.02486&lt;br /&gt;
    A2        2.12418   0.00003   0.00119   0.00015   0.00134   2.12552&lt;br /&gt;
    A3        2.12986   0.00011   0.00260   0.00035   0.00295   2.13281&lt;br /&gt;
    A4        2.09114  -0.00046   0.00059  -0.00330  -0.00272   2.08842&lt;br /&gt;
    A5        2.17235   0.00015   0.00260   0.00077   0.00336   2.17572&lt;br /&gt;
    A6        2.01969   0.00031  -0.00319   0.00253  -0.00066   2.01903&lt;br /&gt;
    A7        1.91057  -0.00028   0.00298  -0.00303  -0.00007   1.91051&lt;br /&gt;
    A8        1.91420  -0.00010   0.00166  -0.00053   0.00112   1.91533&lt;br /&gt;
    A9        1.96149   0.00039  -0.00098   0.00396   0.00299   1.96448&lt;br /&gt;
   A10        1.87363  -0.00020  -0.00185  -0.00476  -0.00664   1.86699&lt;br /&gt;
   A11        1.89913   0.00016  -0.00191   0.00275   0.00084   1.89997&lt;br /&gt;
   A12        1.90269   0.00000   0.00003   0.00124   0.00127   1.90396&lt;br /&gt;
   A13        1.89483   0.00044  -0.00235   0.00326   0.00090   1.89573&lt;br /&gt;
   A14        1.91076   0.00014  -0.00019   0.00311   0.00292   1.91368&lt;br /&gt;
   A15        1.95721  -0.00028  -0.00116  -0.00034  -0.00150   1.95571&lt;br /&gt;
   A16        1.87675  -0.00015  -0.00175  -0.00136  -0.00314   1.87361&lt;br /&gt;
   A17        1.90637  -0.00037   0.00281  -0.00687  -0.00407   1.90229&lt;br /&gt;
   A18        1.91606   0.00023   0.00261   0.00212   0.00472   1.92078&lt;br /&gt;
   A19        2.01305   0.00000  -0.00340   0.00054  -0.00314   2.00990&lt;br /&gt;
   A20        2.17970   0.00006   0.00306   0.00047   0.00325   2.18295&lt;br /&gt;
   A21        2.09021  -0.00006   0.00031  -0.00009  -0.00007   2.09014&lt;br /&gt;
   A22        2.12596   0.00009   0.00126   0.00053   0.00178   2.12773&lt;br /&gt;
   A23        2.12691  -0.00001   0.00239  -0.00044   0.00194   2.12885&lt;br /&gt;
   A24        2.03031  -0.00007  -0.00366  -0.00004  -0.00372   2.02659&lt;br /&gt;
    D1        0.00721  -0.00003   0.00032  -0.00005   0.00027   0.00747&lt;br /&gt;
    D2       -3.13622  -0.00009   0.00021  -0.00494  -0.00473  -3.14096&lt;br /&gt;
    D3       -3.13508   0.00004   0.00000   0.00303   0.00303  -3.13205&lt;br /&gt;
    D4        0.00468  -0.00002  -0.00011  -0.00186  -0.00197   0.00271&lt;br /&gt;
    D5        1.00831  -0.00034  -0.00204  -0.05110  -0.05313   0.95518&lt;br /&gt;
    D6       -1.04309   0.00012  -0.00247  -0.04323  -0.04571  -1.08880&lt;br /&gt;
    D7        3.12068  -0.00008  -0.00303  -0.04710  -0.05013   3.07055&lt;br /&gt;
    D8       -2.13505  -0.00040  -0.00215  -0.05581  -0.05796  -2.19300&lt;br /&gt;
    D9        2.09674   0.00006  -0.00258  -0.04795  -0.05053   2.04620&lt;br /&gt;
   D10       -0.02268  -0.00013  -0.00314  -0.05182  -0.05496  -0.07764&lt;br /&gt;
   D11       -3.08867  -0.00004   0.00348   0.02856   0.03203  -3.05663&lt;br /&gt;
   D12       -1.04457   0.00010  -0.00011   0.03052   0.03041  -1.01416&lt;br /&gt;
   D13        1.08657   0.00030   0.00230   0.03518   0.03747   1.12404&lt;br /&gt;
   D14       -0.96975  -0.00003   0.00528   0.02920   0.03448  -0.93526&lt;br /&gt;
   D15        1.07435   0.00011   0.00169   0.03117   0.03286   1.10721&lt;br /&gt;
   D16       -3.07769   0.00032   0.00410   0.03583   0.03992  -3.03777&lt;br /&gt;
   D17        1.06854  -0.00018   0.00199   0.02574   0.02773   1.09626&lt;br /&gt;
   D18        3.11263  -0.00004  -0.00160   0.02770   0.02610   3.13873&lt;br /&gt;
   D19       -1.03941   0.00017   0.00081   0.03236   0.03316  -1.00625&lt;br /&gt;
   D20        0.89999   0.00004   0.02447   0.07831   0.10279   1.00278&lt;br /&gt;
   D21       -2.26437   0.00057   0.02104   0.12561   0.14664  -2.11773&lt;br /&gt;
   D22       -1.20127  -0.00008   0.02626   0.07908   0.10536  -1.09592&lt;br /&gt;
   D23        1.91755   0.00045   0.02283   0.12638   0.14921   2.06676&lt;br /&gt;
   D24        3.02812   0.00019   0.02528   0.08354   0.10883   3.13694&lt;br /&gt;
   D25       -0.13625   0.00072   0.02185   0.13084   0.15268   0.01643&lt;br /&gt;
   D26       -3.11758  -0.00054   0.00029  -0.03605  -0.03576   3.12984&lt;br /&gt;
   D27        0.01841  -0.00025  -0.00062  -0.02360  -0.02423  -0.00581&lt;br /&gt;
   D28        0.00030   0.00001  -0.00328   0.01321   0.00993   0.01023&lt;br /&gt;
   D29        3.13630   0.00031  -0.00420   0.02565   0.02146  -3.12543&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.001732     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000444     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.323667     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.076669     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.364937D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.054650   -0.057969    0.041305&lt;br /&gt;
    2          1             0       -0.088533   -0.103474    1.113290&lt;br /&gt;
    3          1             0        0.926213   -0.056733   -0.400076&lt;br /&gt;
    4          6             0       -1.150782   -0.004688   -0.685284&lt;br /&gt;
    5          1             0       -2.110744    0.000670   -0.200592&lt;br /&gt;
    6          6             0       -1.179078    0.060452   -2.202612&lt;br /&gt;
    7          1             0       -0.612010   -0.770316   -2.610985&lt;br /&gt;
    8          1             0       -0.693629    0.971946   -2.539866&lt;br /&gt;
    9          6             0       -2.615357    0.012524   -2.771389&lt;br /&gt;
   10          1             0       -2.557921   -0.024575   -3.856351&lt;br /&gt;
   11          1             0       -3.108107   -0.896783   -2.442070&lt;br /&gt;
   12          6             0       -3.426593    1.217277   -2.363573&lt;br /&gt;
   13          1             0       -3.007960    2.168642   -2.647010&lt;br /&gt;
   14          6             0       -4.556725    1.175447   -1.689448&lt;br /&gt;
   15          1             0       -5.087838    2.067393   -1.416339&lt;br /&gt;
   16          1             0       -4.998480    0.246945   -1.375910&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073485   0.000000&lt;br /&gt;
     3  H    1.075599   1.822683   0.000000&lt;br /&gt;
     4  C    1.316160   2.091172   2.097132   0.000000&lt;br /&gt;
     5  H    2.071105   2.413808   3.044043   1.075397   0.000000&lt;br /&gt;
     6  C    2.512673   3.494477   2.774008   1.518989   2.208994&lt;br /&gt;
     7  H    2.802273   3.819547   2.786297   2.141212   2.941193&lt;br /&gt;
     8  H    2.851572   3.855933   2.874155   2.145292   2.902377&lt;br /&gt;
     9  C    3.804397   4.635626   4.262703   2.548943   2.619880&lt;br /&gt;
    10  H    4.632408   5.549904   4.907755   3.469309   3.683093&lt;br /&gt;
    11  H    4.024221   4.731569   4.599039   2.777274   2.612350&lt;br /&gt;
    12  C    4.333554   4.997560   4.942200   3.080449   2.808928&lt;br /&gt;
    13  H    4.572404   5.274981   5.047646   3.467109   3.389699&lt;br /&gt;
    14  C    4.978504   5.427313   5.765706   3.741860   3.095096&lt;br /&gt;
    15  H    5.654633   6.008722   6.458600   4.508699   3.822627&lt;br /&gt;
    16  H    5.151983   5.516021   6.012193   3.917277   3.127466&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085593   0.000000&lt;br /&gt;
     8  H    1.086380   1.745623   0.000000&lt;br /&gt;
     9  C    1.545542   2.156841   2.160354   0.000000&lt;br /&gt;
    10  H    2.154830   2.427681   2.490336   1.087114   0.000000&lt;br /&gt;
    11  H    2.166747   2.505000   3.054736   1.085399   1.750326&lt;br /&gt;
    12  C    2.532879   3.454507   2.749611   1.508592   2.127245&lt;br /&gt;
    13  H    2.826086   3.792011   2.607621   2.195098   2.544649&lt;br /&gt;
    14  C    3.593752   4.493997   3.960825   2.508366   3.182883&lt;br /&gt;
    15  H    4.463680   5.432569   4.665982   3.488813   4.090290&lt;br /&gt;
    16  H    3.912294   4.669192   4.517982   2.771569   3.490364&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.139355   0.000000&lt;br /&gt;
    13  H    3.073899   1.077352   0.000000&lt;br /&gt;
    14  C    2.638005   1.316584   2.074135   0.000000&lt;br /&gt;
    15  H    3.709150   2.092770   2.418821   1.073423   0.000000&lt;br /&gt;
    16  H    2.453227   2.094719   3.044796   1.074974   1.823088&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.628808   -0.677980    0.068900&lt;br /&gt;
    2          1             0        3.041137   -1.647799   -0.135572&lt;br /&gt;
    3          1             0        3.312111    0.050636    0.467809&lt;br /&gt;
    4          6             0        1.361415   -0.402340   -0.154734&lt;br /&gt;
    5          1             0        0.712099   -1.164856   -0.546447&lt;br /&gt;
    6          6             0        0.710682    0.944576    0.109261&lt;br /&gt;
    7          1             0        1.262643    1.721178   -0.411067&lt;br /&gt;
    8          1             0        0.761951    1.175324    1.169614&lt;br /&gt;
    9          6             0       -0.765294    0.989513   -0.347004&lt;br /&gt;
   10          1             0       -1.140466    2.000515   -0.209387&lt;br /&gt;
   11          1             0       -0.826728    0.762924   -1.406709&lt;br /&gt;
   12          6             0       -1.629967    0.033943    0.437264&lt;br /&gt;
   13          1             0       -1.626209    0.183149    1.504227&lt;br /&gt;
   14          6             0       -2.340210   -0.944891   -0.083149&lt;br /&gt;
   15          1             0       -2.930960   -1.602928    0.525323&lt;br /&gt;
   16          1             0       -2.358186   -1.135066   -1.141015&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.2241636      1.8705917      1.6015729&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       216.8966917822 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.689512323     A.U. after   11 cycles&lt;br /&gt;
             Convg  =    0.4851D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000372613   -0.000237424   -0.000087054&lt;br /&gt;
    2          1          -0.000354326    0.000009247   -0.000082136&lt;br /&gt;
    3          1          -0.000253269   -0.000105522   -0.000265394&lt;br /&gt;
    4          6          -0.000563855    0.000104533    0.000197920&lt;br /&gt;
    5          1           0.000462672    0.000341861    0.000206284&lt;br /&gt;
    6          6           0.001398232   -0.000096865    0.000123801&lt;br /&gt;
    7          1           0.000042135    0.000136778    0.000133583&lt;br /&gt;
    8          1          -0.000535976    0.000164396    0.000177847&lt;br /&gt;
    9          6          -0.001675205   -0.001004842   -0.001456830&lt;br /&gt;
   10          1           0.000405782   -0.000096120    0.000219496&lt;br /&gt;
   11          1           0.000230044    0.000338644    0.000131166&lt;br /&gt;
   12          6           0.001136102    0.000506805    0.001593291&lt;br /&gt;
   13          1          -0.000750398   -0.000094876   -0.000501434&lt;br /&gt;
   14          6          -0.000107173    0.000033823    0.000655715&lt;br /&gt;
   15          1           0.000106022    0.000120074   -0.000366325&lt;br /&gt;
   16          1           0.000086599   -0.000120512   -0.000679930&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.001675205 RMS     0.000576052&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000728593 RMS     0.000290872&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   4 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  3  4&lt;br /&gt;
 Trust test= 8.88D-01 RLast= 3.60D-01 DXMaxT set to 8.49D-01&lt;br /&gt;
     Eigenvalues ---    0.00119   0.00240   0.00343   0.01257   0.01682&lt;br /&gt;
     Eigenvalues ---    0.02678   0.02681   0.02759   0.02963   0.03941&lt;br /&gt;
     Eigenvalues ---    0.04025   0.05259   0.05333   0.09170   0.09786&lt;br /&gt;
     Eigenvalues ---    0.12779   0.12997   0.14990   0.15995   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16005   0.16021   0.20670   0.21953&lt;br /&gt;
     Eigenvalues ---    0.22052   0.23106   0.27576   0.28558   0.30586&lt;br /&gt;
     Eigenvalues ---    0.36932   0.37224   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37262   0.37432&lt;br /&gt;
     Eigenvalues ---    0.53928   0.596941000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-2.40782457D-04.&lt;br /&gt;
 Quartic linear search produced a step of -0.01116.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.06514613 RMS(Int)=  0.00204593&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00287028 RMS(Int)=  0.00001064&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000280 RMS(Int)=  0.00001026&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00001026&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02859  -0.00007  -0.00001   0.00004   0.00004   2.02863&lt;br /&gt;
    R2        2.03259  -0.00012   0.00000  -0.00046  -0.00046   2.03213&lt;br /&gt;
    R3        2.48718  -0.00042  -0.00002   0.00050   0.00047   2.48766&lt;br /&gt;
    R4        2.03221  -0.00032   0.00000  -0.00113  -0.00113   2.03108&lt;br /&gt;
    R5        2.87047  -0.00004   0.00004  -0.00166  -0.00163   2.86885&lt;br /&gt;
    R6        2.05147  -0.00013   0.00000  -0.00064  -0.00063   2.05084&lt;br /&gt;
    R7        2.05296  -0.00016   0.00000  -0.00068  -0.00068   2.05228&lt;br /&gt;
    R8        2.92065   0.00069  -0.00005   0.00501   0.00496   2.92561&lt;br /&gt;
    R9        2.05435  -0.00019   0.00001  -0.00110  -0.00109   2.05325&lt;br /&gt;
   R10        2.05111  -0.00035   0.00000  -0.00116  -0.00116   2.04995&lt;br /&gt;
   R11        2.85083   0.00029   0.00008  -0.00261  -0.00253   2.84830&lt;br /&gt;
   R12        2.03590  -0.00024  -0.00001  -0.00037  -0.00037   2.03553&lt;br /&gt;
   R13        2.48798  -0.00027  -0.00003   0.00085   0.00082   2.48881&lt;br /&gt;
   R14        2.02847  -0.00005   0.00000   0.00000  -0.00001   2.02847&lt;br /&gt;
   R15        2.03141  -0.00013   0.00000  -0.00031  -0.00031   2.03110&lt;br /&gt;
    A1        2.02486   0.00047   0.00005   0.00088   0.00093   2.02579&lt;br /&gt;
    A2        2.12552  -0.00025  -0.00001  -0.00089  -0.00090   2.12462&lt;br /&gt;
    A3        2.13281  -0.00022  -0.00003   0.00001  -0.00002   2.13278&lt;br /&gt;
    A4        2.08842  -0.00008   0.00003  -0.00243  -0.00240   2.08601&lt;br /&gt;
    A5        2.17572  -0.00060  -0.00004  -0.00109  -0.00113   2.17459&lt;br /&gt;
    A6        2.01903   0.00068   0.00001   0.00352   0.00352   2.02255&lt;br /&gt;
    A7        1.91051  -0.00009   0.00000  -0.00030  -0.00030   1.91021&lt;br /&gt;
    A8        1.91533  -0.00012  -0.00001  -0.00079  -0.00081   1.91452&lt;br /&gt;
    A9        1.96448   0.00029  -0.00003   0.00251   0.00248   1.96695&lt;br /&gt;
   A10        1.86699   0.00019   0.00007  -0.00123  -0.00116   1.86583&lt;br /&gt;
   A11        1.89997  -0.00009  -0.00001   0.00058   0.00057   1.90054&lt;br /&gt;
   A12        1.90396  -0.00018  -0.00001  -0.00095  -0.00097   1.90299&lt;br /&gt;
   A13        1.89573  -0.00019  -0.00001  -0.00124  -0.00125   1.89448&lt;br /&gt;
   A14        1.91368   0.00011  -0.00003   0.00074   0.00071   1.91440&lt;br /&gt;
   A15        1.95571  -0.00054   0.00002  -0.00357  -0.00355   1.95216&lt;br /&gt;
   A16        1.87361   0.00006   0.00004   0.00066   0.00070   1.87430&lt;br /&gt;
   A17        1.90229   0.00048   0.00005   0.00147   0.00151   1.90380&lt;br /&gt;
   A18        1.92078   0.00010  -0.00005   0.00207   0.00202   1.92280&lt;br /&gt;
   A19        2.00990   0.00048   0.00004   0.00128   0.00129   2.01120&lt;br /&gt;
   A20        2.18295  -0.00030  -0.00004   0.00015   0.00009   2.18305&lt;br /&gt;
   A21        2.09014  -0.00017   0.00000  -0.00120  -0.00122   2.08892&lt;br /&gt;
   A22        2.12773  -0.00013  -0.00002   0.00006   0.00000   2.12774&lt;br /&gt;
   A23        2.12885  -0.00035  -0.00002  -0.00126  -0.00132   2.12752&lt;br /&gt;
   A24        2.02659   0.00049   0.00004   0.00128   0.00128   2.02787&lt;br /&gt;
    D1        0.00747  -0.00001   0.00000  -0.00043  -0.00043   0.00704&lt;br /&gt;
    D2       -3.14096   0.00001   0.00005  -0.00188  -0.00183   3.14040&lt;br /&gt;
    D3       -3.13205  -0.00011  -0.00003  -0.00259  -0.00263  -3.13468&lt;br /&gt;
    D4        0.00271  -0.00010   0.00002  -0.00405  -0.00403  -0.00132&lt;br /&gt;
    D5        0.95518  -0.00025   0.00059  -0.12343  -0.12283   0.83235&lt;br /&gt;
    D6       -1.08880  -0.00035   0.00051  -0.12130  -0.12079  -1.20958&lt;br /&gt;
    D7        3.07055  -0.00023   0.00056  -0.12122  -0.12066   2.94988&lt;br /&gt;
    D8       -2.19300  -0.00023   0.00065  -0.12485  -0.12420  -2.31721&lt;br /&gt;
    D9        2.04620  -0.00034   0.00056  -0.12272  -0.12216   1.92404&lt;br /&gt;
   D10       -0.07764  -0.00022   0.00061  -0.12265  -0.12203  -0.19968&lt;br /&gt;
   D11       -3.05663   0.00000  -0.00036   0.01449   0.01413  -3.04250&lt;br /&gt;
   D12       -1.01416   0.00002  -0.00034   0.01499   0.01465  -0.99951&lt;br /&gt;
   D13        1.12404  -0.00014  -0.00042   0.01573   0.01531   1.13935&lt;br /&gt;
   D14       -0.93526   0.00002  -0.00038   0.01617   0.01578  -0.91948&lt;br /&gt;
   D15        1.10721   0.00004  -0.00037   0.01667   0.01630   1.12351&lt;br /&gt;
   D16       -3.03777  -0.00012  -0.00045   0.01741   0.01696  -3.02081&lt;br /&gt;
   D17        1.09626   0.00009  -0.00031   0.01449   0.01418   1.11045&lt;br /&gt;
   D18        3.13873   0.00011  -0.00029   0.01499   0.01470  -3.12975&lt;br /&gt;
   D19       -1.00625  -0.00005  -0.00037   0.01573   0.01536  -0.99089&lt;br /&gt;
   D20        1.00278   0.00020  -0.00115   0.06496   0.06382   1.06660&lt;br /&gt;
   D21       -2.11773  -0.00029  -0.00164   0.05208   0.05044  -2.06729&lt;br /&gt;
   D22       -1.09592   0.00046  -0.00118   0.06780   0.06663  -1.02929&lt;br /&gt;
   D23        2.06676  -0.00004  -0.00167   0.05491   0.05325   2.12001&lt;br /&gt;
   D24        3.13694   0.00004  -0.00121   0.06493   0.06372  -3.08253&lt;br /&gt;
   D25        0.01643  -0.00045  -0.00170   0.05205   0.05034   0.06677&lt;br /&gt;
   D26        3.12984   0.00048   0.00040   0.00729   0.00769   3.13753&lt;br /&gt;
   D27       -0.00581  -0.00021   0.00027  -0.01041  -0.01014  -0.01595&lt;br /&gt;
   D28        0.01023  -0.00004  -0.00011  -0.00617  -0.00627   0.00396&lt;br /&gt;
   D29       -3.12543  -0.00073  -0.00024  -0.02387  -0.02410   3.13366&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000729     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000291     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.282825     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.065090     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.340770D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.061477   -0.110594    0.044501&lt;br /&gt;
    2          1             0       -0.097051   -0.145998    1.116832&lt;br /&gt;
    3          1             0        0.913281   -0.206398   -0.399411&lt;br /&gt;
    4          6             0       -1.150237    0.041214   -0.679718&lt;br /&gt;
    5          1             0       -2.102247    0.139255   -0.190573&lt;br /&gt;
    6          6             0       -1.175120    0.101432   -2.196446&lt;br /&gt;
    7          1             0       -0.582586   -0.713246   -2.600166&lt;br /&gt;
    8          1             0       -0.713625    1.024871   -2.533680&lt;br /&gt;
    9          6             0       -2.608639    0.013000   -2.774392&lt;br /&gt;
   10          1             0       -2.541899   -0.039688   -3.857595&lt;br /&gt;
   11          1             0       -3.084161   -0.900673   -2.434042&lt;br /&gt;
   12          6             0       -3.443265    1.207672   -2.389718&lt;br /&gt;
   13          1             0       -3.073888    2.157432   -2.738683&lt;br /&gt;
   14          6             0       -4.547797    1.160495   -1.673949&lt;br /&gt;
   15          1             0       -5.101554    2.046016   -1.426091&lt;br /&gt;
   16          1             0       -4.951933    0.231967   -1.313775&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073504   0.000000&lt;br /&gt;
     3  H    1.075355   1.823022   0.000000&lt;br /&gt;
     4  C    1.316411   2.090894   2.097139   0.000000&lt;br /&gt;
     5  H    2.069403   2.410703   3.042450   1.074801   0.000000&lt;br /&gt;
     6  C    2.511375   3.493031   2.772276   1.518128   2.210095&lt;br /&gt;
     7  H    2.762066   3.791251   2.708844   2.139990   2.973594&lt;br /&gt;
     8  H    2.891642   3.882954   2.952617   2.143685   2.864042&lt;br /&gt;
     9  C    3.801246   4.634110   4.253538   2.552527   2.635999&lt;br /&gt;
    10  H    4.624271   5.543781   4.891329   3.470184   3.697616&lt;br /&gt;
    11  H    3.987985   4.701177   4.538864   2.775765   2.660594&lt;br /&gt;
    12  C    4.370325   5.032441   4.994038   3.089127   2.788563&lt;br /&gt;
    13  H    4.686649   5.388167   5.192052   3.523940   3.392638&lt;br /&gt;
    14  C    4.969488   5.413365   5.772020   3.712775   3.037112&lt;br /&gt;
    15  H    5.675912   6.026311   6.504281   4.493240   3.762722&lt;br /&gt;
    16  H    5.087124   5.442480   5.952224   3.858926   3.064456&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085258   0.000000&lt;br /&gt;
     8  H    1.086022   1.744317   0.000000&lt;br /&gt;
     9  C    1.548165   2.159323   2.161690   0.000000&lt;br /&gt;
    10  H    2.155786   2.423575   2.495721   1.086536   0.000000&lt;br /&gt;
    11  H    2.169125   2.514081   3.055665   1.084785   1.749813&lt;br /&gt;
    12  C    2.530929   3.452202   2.739540   1.507254   2.126742&lt;br /&gt;
    13  H    2.850698   3.803494   2.625941   2.194612   2.522362&lt;br /&gt;
    14  C    3.573453   4.482374   3.931718   2.507599   3.198809&lt;br /&gt;
    15  H    4.448790   5.423379   4.639333   3.487935   4.100513&lt;br /&gt;
    16  H    3.880782   4.651819   4.481085   2.769906   3.514695&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.139168   0.000000&lt;br /&gt;
    13  H    3.073259   1.077154   0.000000&lt;br /&gt;
    14  C    2.639770   1.317020   2.073632   0.000000&lt;br /&gt;
    15  H    3.710635   2.093160   2.418004   1.073419   0.000000&lt;br /&gt;
    16  H    2.454882   2.094214   3.043819   1.074809   1.823670&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.640334   -0.660173    0.045601&lt;br /&gt;
    2          1             0        3.052474   -1.636852   -0.123664&lt;br /&gt;
    3          1             0        3.339037    0.103603    0.336887&lt;br /&gt;
    4          6             0        1.354385   -0.417179   -0.096626&lt;br /&gt;
    5          1             0        0.693287   -1.214626   -0.383374&lt;br /&gt;
    6          6             0        0.702954    0.935746    0.126848&lt;br /&gt;
    7          1             0        1.274983    1.701515   -0.387123&lt;br /&gt;
    8          1             0        0.724325    1.182035    1.184360&lt;br /&gt;
    9          6             0       -0.761450    0.983585   -0.373200&lt;br /&gt;
   10          1             0       -1.127262    2.001909   -0.274426&lt;br /&gt;
   11          1             0       -0.796433    0.727277   -1.426690&lt;br /&gt;
   12          6             0       -1.654187    0.060634    0.416102&lt;br /&gt;
   13          1             0       -1.725164    0.279331    1.468430&lt;br /&gt;
   14          6             0       -2.318360   -0.960763   -0.084063&lt;br /&gt;
   15          1             0       -2.938388   -1.588547    0.527230&lt;br /&gt;
   16          1             0       -2.278913   -1.206744   -1.129602&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.2614985      1.8725049      1.6004215&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       216.9429531857 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.689792098     A.U. after   11 cycles&lt;br /&gt;
             Convg  =    0.4434D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000051560   -0.000614801   -0.000290496&lt;br /&gt;
    2          1          -0.000227601    0.000223393   -0.000074935&lt;br /&gt;
    3          1          -0.000097886   -0.000199078   -0.000241683&lt;br /&gt;
    4          6          -0.000025443   -0.000178472    0.000441826&lt;br /&gt;
    5          1          -0.000023597    0.000759264   -0.000095688&lt;br /&gt;
    6          6           0.000956904   -0.000771485   -0.000173129&lt;br /&gt;
    7          1           0.000215445    0.000132224    0.000119821&lt;br /&gt;
    8          1          -0.000775333    0.000743764    0.000046125&lt;br /&gt;
    9          6          -0.000206923   -0.000966020   -0.000485654&lt;br /&gt;
   10          1           0.000311608   -0.000015410   -0.000045298&lt;br /&gt;
   11          1           0.000233817    0.000106988    0.000466092&lt;br /&gt;
   12          6          -0.000668541    0.000833812    0.000670142&lt;br /&gt;
   13          1          -0.000016557    0.000016624    0.000347571&lt;br /&gt;
   14          6          -0.000296737   -0.000056954   -0.000705836&lt;br /&gt;
   15          1           0.000248602    0.000098749   -0.000041182&lt;br /&gt;
   16          1           0.000320683   -0.000112599    0.000062325&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000966020 RMS     0.000417303&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000931385 RMS     0.000282782&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   5 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  4  5&lt;br /&gt;
 Trust test= 2.09D+00 RLast= 3.36D-01 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---   -0.02530   0.00024   0.00240   0.00808   0.01255&lt;br /&gt;
     Eigenvalues ---    0.01953   0.02662   0.02682   0.02763   0.03916&lt;br /&gt;
     Eigenvalues ---    0.04002   0.05183   0.05327   0.09102   0.09675&lt;br /&gt;
     Eigenvalues ---    0.12667   0.12847   0.13930   0.15408   0.15996&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16001   0.16013   0.20100   0.20681&lt;br /&gt;
     Eigenvalues ---    0.21997   0.22919   0.27489   0.28335   0.30080&lt;br /&gt;
     Eigenvalues ---    0.36366   0.37190   0.37216   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37246   0.37426&lt;br /&gt;
     Eigenvalues ---    0.53886   0.594671000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-2.53520288D-02.&lt;br /&gt;
 Skip linear search -- no minimum in search direction.&lt;br /&gt;
 Maximum step size (   1.000) exceeded in Quadratic search.&lt;br /&gt;
    -- Step size scaled by   0.044&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.11945761 RMS(Int)=  0.04579051&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.04607988 RMS(Int)=  0.00767551&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00381011 RMS(Int)=  0.00706141&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00004238 RMS(Int)=  0.00706133&lt;br /&gt;
 Iteration  5 RMS(Cart)=  0.00000114 RMS(Int)=  0.00706133&lt;br /&gt;
 Iteration  6 RMS(Cart)=  0.00000003 RMS(Int)=  0.00706133&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02863  -0.00007   0.00000   0.00032   0.00032   2.02895&lt;br /&gt;
    R2        2.03213   0.00003   0.00000   0.01233   0.01233   2.04446&lt;br /&gt;
    R3        2.48766  -0.00049   0.00000  -0.00920  -0.00920   2.47846&lt;br /&gt;
    R4        2.03108   0.00005   0.00000   0.02805   0.02805   2.05913&lt;br /&gt;
    R5        2.86885  -0.00027   0.00000  -0.02087  -0.02087   2.84797&lt;br /&gt;
    R6        2.05084  -0.00003   0.00000   0.01109   0.01109   2.06193&lt;br /&gt;
    R7        2.05228   0.00029   0.00000   0.03347   0.03347   2.08576&lt;br /&gt;
    R8        2.92561  -0.00003   0.00000  -0.07446  -0.07446   2.85115&lt;br /&gt;
    R9        2.05325   0.00007   0.00000   0.02228   0.02228   2.07553&lt;br /&gt;
   R10        2.04995  -0.00005   0.00000   0.02502   0.02502   2.07497&lt;br /&gt;
   R11        2.84830   0.00093   0.00000   0.05121   0.05121   2.89950&lt;br /&gt;
   R12        2.03553  -0.00010   0.00000   0.01200   0.01200   2.04753&lt;br /&gt;
   R13        2.48881  -0.00060   0.00000  -0.02162  -0.02162   2.46719&lt;br /&gt;
   R14        2.02847  -0.00006   0.00000  -0.00004  -0.00004   2.02843&lt;br /&gt;
   R15        2.03110   0.00000   0.00000   0.01040   0.01040   2.04150&lt;br /&gt;
    A1        2.02579   0.00034   0.00000  -0.02990  -0.03014   1.99565&lt;br /&gt;
    A2        2.12462  -0.00018   0.00000   0.01499   0.01476   2.13938&lt;br /&gt;
    A3        2.13278  -0.00016   0.00000   0.01491   0.01468   2.14746&lt;br /&gt;
    A4        2.08601   0.00041   0.00000   0.07473   0.07417   2.16018&lt;br /&gt;
    A5        2.17459  -0.00050   0.00000   0.02170   0.02128   2.19587&lt;br /&gt;
    A6        2.02255   0.00008   0.00000  -0.09682  -0.09717   1.92538&lt;br /&gt;
    A7        1.91021   0.00003   0.00000   0.02206   0.02170   1.93191&lt;br /&gt;
    A8        1.91452   0.00003   0.00000   0.01660   0.01537   1.92989&lt;br /&gt;
    A9        1.96695  -0.00005   0.00000  -0.04710  -0.04741   1.91954&lt;br /&gt;
   A10        1.86583   0.00024   0.00000   0.03095   0.03058   1.89641&lt;br /&gt;
   A11        1.90054  -0.00001   0.00000   0.00194   0.00225   1.90280&lt;br /&gt;
   A12        1.90299  -0.00022   0.00000  -0.02054  -0.02069   1.88230&lt;br /&gt;
   A13        1.89448  -0.00042   0.00000  -0.02820  -0.02776   1.86672&lt;br /&gt;
   A14        1.91440  -0.00021   0.00000  -0.03409  -0.03474   1.87966&lt;br /&gt;
   A15        1.95216   0.00034   0.00000   0.09895   0.09929   2.05144&lt;br /&gt;
   A16        1.87430   0.00026   0.00000   0.01221   0.01121   1.88551&lt;br /&gt;
   A17        1.90380   0.00014   0.00000  -0.03935  -0.03890   1.86490&lt;br /&gt;
   A18        1.92280  -0.00012   0.00000  -0.01323  -0.01325   1.90955&lt;br /&gt;
   A19        2.01120   0.00029   0.00000  -0.03681  -0.04976   1.96143&lt;br /&gt;
   A20        2.18305  -0.00024   0.00000   0.01601   0.00275   2.18579&lt;br /&gt;
   A21        2.08892  -0.00006   0.00000   0.01876   0.00403   2.09295&lt;br /&gt;
   A22        2.12774  -0.00014   0.00000   0.00358  -0.02515   2.10259&lt;br /&gt;
   A23        2.12752  -0.00020   0.00000   0.03030   0.00167   2.12919&lt;br /&gt;
   A24        2.02787   0.00035   0.00000  -0.02926  -0.06074   1.96713&lt;br /&gt;
    D1        0.00704  -0.00013   0.00000  -0.05045  -0.04901  -0.04197&lt;br /&gt;
    D2        3.14040  -0.00020   0.00000  -0.10918  -0.11061   3.02979&lt;br /&gt;
    D3       -3.13468  -0.00015   0.00000  -0.00783  -0.00640  -3.14108&lt;br /&gt;
    D4       -0.00132  -0.00022   0.00000  -0.06656  -0.06800  -0.06932&lt;br /&gt;
    D5        0.83235  -0.00036   0.00000  -0.15428  -0.15500   0.67735&lt;br /&gt;
    D6       -1.20958  -0.00069   0.00000  -0.21414  -0.21557  -1.42516&lt;br /&gt;
    D7        2.94988  -0.00039   0.00000  -0.16772  -0.16882   2.78106&lt;br /&gt;
    D8       -2.31721  -0.00043   0.00000  -0.21037  -0.20893  -2.52614&lt;br /&gt;
    D9        1.92404  -0.00076   0.00000  -0.27024  -0.26950   1.65454&lt;br /&gt;
   D10       -0.19968  -0.00046   0.00000  -0.22382  -0.22275  -0.42242&lt;br /&gt;
   D11       -3.04250   0.00000   0.00000  -0.00703  -0.00706  -3.04956&lt;br /&gt;
   D12       -0.99951  -0.00005   0.00000  -0.02760  -0.02703  -1.02654&lt;br /&gt;
   D13        1.13935  -0.00011   0.00000  -0.00114  -0.00098   1.13837&lt;br /&gt;
   D14       -0.91948   0.00000   0.00000  -0.00875  -0.00889  -0.92837&lt;br /&gt;
   D15        1.12351  -0.00005   0.00000  -0.02932  -0.02886   1.09465&lt;br /&gt;
   D16       -3.02081  -0.00012   0.00000  -0.00286  -0.00282  -3.02363&lt;br /&gt;
   D17        1.11045   0.00016   0.00000   0.01791   0.01729   1.12774&lt;br /&gt;
   D18       -3.12975   0.00010   0.00000  -0.00266  -0.00268  -3.13243&lt;br /&gt;
   D19       -0.99089   0.00004   0.00000   0.02380   0.02337  -0.96752&lt;br /&gt;
   D20        1.06660  -0.00019   0.00000  -0.31609  -0.31410   0.75250&lt;br /&gt;
   D21       -2.06729  -0.00022   0.00000  -0.00534  -0.00832  -2.07561&lt;br /&gt;
   D22       -1.02929   0.00002   0.00000  -0.31728  -0.31443  -1.34372&lt;br /&gt;
   D23        2.12001  -0.00001   0.00000  -0.00653  -0.00865   2.11136&lt;br /&gt;
   D24       -3.08253  -0.00030   0.00000  -0.30096  -0.29835   2.90231&lt;br /&gt;
   D25        0.06677  -0.00033   0.00000   0.00979   0.00743   0.07420&lt;br /&gt;
   D26        3.13753  -0.00008   0.00000  -0.31480  -0.31096   2.82657&lt;br /&gt;
   D27       -0.01595   0.00020   0.00000   0.16908   0.16182   0.14587&lt;br /&gt;
   D28        0.00396  -0.00011   0.00000   0.00899   0.01624   0.02020&lt;br /&gt;
   D29        3.13366   0.00017   0.00000   0.49287   0.48903  -2.66050&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000931     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000283     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.612566     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.139355     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.331584D-02&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.123898   -0.177016    0.040117&lt;br /&gt;
    2          1             0       -0.151221   -0.073528    1.108445&lt;br /&gt;
    3          1             0        0.827227   -0.512713   -0.351211&lt;br /&gt;
    4          6             0       -1.145843    0.123893   -0.724887&lt;br /&gt;
    5          1             0       -2.108528    0.463411   -0.343715&lt;br /&gt;
    6          6             0       -1.145610    0.137113   -2.231913&lt;br /&gt;
    7          1             0       -0.558130   -0.694263   -2.624644&lt;br /&gt;
    8          1             0       -0.718639    1.081505   -2.611456&lt;br /&gt;
    9          6             0       -2.558904    0.027944   -2.748682&lt;br /&gt;
   10          1             0       -2.494708   -0.054182   -3.842048&lt;br /&gt;
   11          1             0       -2.984368   -0.907521   -2.361968&lt;br /&gt;
   12          6             0       -3.516767    1.187534   -2.445230&lt;br /&gt;
   13          1             0       -3.050933    2.155417   -2.587290&lt;br /&gt;
   14          6             0       -4.621381    1.091408   -1.755932&lt;br /&gt;
   15          1             0       -5.083359    1.967944   -1.343084&lt;br /&gt;
   16          1             0       -4.887134    0.189812   -1.223410&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073676   0.000000&lt;br /&gt;
     3  H    1.081882   1.811308   0.000000&lt;br /&gt;
     4  C    1.311545   2.095078   2.106634   0.000000&lt;br /&gt;
     5  H    2.120432   2.495621   3.093790   1.089646   0.000000&lt;br /&gt;
     6  C    2.510914   3.491585   2.802035   1.507083   2.144521&lt;br /&gt;
     7  H    2.749010   3.806158   2.668460   2.150317   2.991084&lt;br /&gt;
     8  H    2.994734   3.936207   3.168587   2.158394   2.730656&lt;br /&gt;
     9  C    3.707919   4.548039   4.184025   2.470161   2.485223&lt;br /&gt;
    10  H    4.550499   5.477197   4.840604   3.401153   3.557439&lt;br /&gt;
    11  H    3.806040   4.556976   4.327502   2.669087   2.592276&lt;br /&gt;
    12  C    4.421596   5.054284   5.113320   3.116439   2.631322&lt;br /&gt;
    13  H    4.572860   5.199517   5.211439   3.350373   2.963889&lt;br /&gt;
    14  C    5.006200   5.435444   5.850963   3.752133   2.950112&lt;br /&gt;
    15  H    5.577665   5.873975   6.486331   4.391665   3.480226&lt;br /&gt;
    16  H    4.941607   5.285430   5.823074   3.774934   2.927349&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.091127   0.000000&lt;br /&gt;
     8  H    1.103736   1.783056   0.000000&lt;br /&gt;
     9  C    1.508764   2.130743   2.124946   0.000000&lt;br /&gt;
    10  H    2.109312   2.375312   2.441017   1.098324   0.000000&lt;br /&gt;
    11  H    2.118775   2.449716   3.025227   1.098026   1.777243&lt;br /&gt;
    12  C    2.602168   3.510966   2.805066   1.534351   2.130156&lt;br /&gt;
    13  H    2.798231   3.786309   2.567774   2.189585   2.601179&lt;br /&gt;
    14  C    3.635687   4.522531   3.995423   2.523948   3.191707&lt;br /&gt;
    15  H    4.432587   5.404390   4.630909   3.480255   4.127339&lt;br /&gt;
    16  H    3.875417   4.635226   4.483095   2.788065   3.555348&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.163247   0.000000&lt;br /&gt;
    13  H    3.071936   1.083504   0.000000&lt;br /&gt;
    14  C    2.653828   1.305581   2.071130   0.000000&lt;br /&gt;
    15  H    3.702997   2.068327   2.390387   1.073398   0.000000&lt;br /&gt;
    16  H    2.474059   2.089545   3.015860   1.080315   1.792925&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.616660   -0.696750   -0.016935&lt;br /&gt;
    2          1             0        2.990176   -1.703324   -0.025541&lt;br /&gt;
    3          1             0        3.385377    0.063908    0.013752&lt;br /&gt;
    4          6             0        1.334938   -0.419264    0.001519&lt;br /&gt;
    5          1             0        0.551013   -1.175500   -0.028430&lt;br /&gt;
    6          6             0        0.731961    0.953836    0.150896&lt;br /&gt;
    7          1             0        1.313075    1.692462   -0.403446&lt;br /&gt;
    8          1             0        0.703922    1.251672    1.213318&lt;br /&gt;
    9          6             0       -0.685175    0.953731   -0.366884&lt;br /&gt;
   10          1             0       -1.041982    1.991591   -0.323855&lt;br /&gt;
   11          1             0       -0.655341    0.648004   -1.421068&lt;br /&gt;
   12          6             0       -1.714462    0.098084    0.383229&lt;br /&gt;
   13          1             0       -1.620153    0.187793    1.458886&lt;br /&gt;
   14          6             0       -2.384206   -0.897734   -0.130904&lt;br /&gt;
   15          1             0       -2.859190   -1.620263    0.505119&lt;br /&gt;
   16          1             0       -2.165188   -1.287764   -1.114259&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.3892179      1.8672211      1.5970359&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.4290271883 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.673723482     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.4754D-08             -V/T =  2.0017&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.007684151   -0.001037678    0.006085453&lt;br /&gt;
    2          1          -0.003789864   -0.002859187    0.000478669&lt;br /&gt;
    3          1          -0.005307911    0.002351148   -0.001791189&lt;br /&gt;
    4          6          -0.008837448    0.011598159   -0.002751815&lt;br /&gt;
    5          1           0.013786777   -0.003096149    0.008055867&lt;br /&gt;
    6          6           0.013943178    0.012941834    0.001869540&lt;br /&gt;
    7          1          -0.000990207    0.005814069    0.000586925&lt;br /&gt;
    8          1           0.000684224   -0.009896149    0.006209487&lt;br /&gt;
    9          6          -0.033579468   -0.016500211   -0.028374088&lt;br /&gt;
   10          1          -0.003168131   -0.003730805    0.006111082&lt;br /&gt;
   11          1          -0.000702024    0.007052748   -0.006525842&lt;br /&gt;
   12          6           0.045535789   -0.001978756    0.013636291&lt;br /&gt;
   13          1          -0.011289451   -0.000264099   -0.013647478&lt;br /&gt;
   14          6           0.002307784    0.000997841    0.037117957&lt;br /&gt;
   15          1          -0.008202577    0.002534216   -0.010232369&lt;br /&gt;
   16          1          -0.008074822   -0.003926982   -0.016828489&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.045535789 RMS     0.012943431&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.023650328 RMS     0.007780834&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   6 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  4  6  5&lt;br /&gt;
 Trust test=-1.21D+00 RLast= 9.95D-01 DXMaxT set to 5.00D-01&lt;br /&gt;
     Eigenvalues ---    0.00024   0.00240   0.00561   0.01366   0.01942&lt;br /&gt;
     Eigenvalues ---    0.02665   0.02691   0.02712   0.03491   0.04269&lt;br /&gt;
     Eigenvalues ---    0.04816   0.05261   0.05462   0.08864   0.10261&lt;br /&gt;
     Eigenvalues ---    0.12553   0.13369   0.14283   0.15607   0.15849&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16009   0.16301   0.20629   0.22008&lt;br /&gt;
     Eigenvalues ---    0.22885   0.23288   0.27498   0.28604   0.31800&lt;br /&gt;
     Eigenvalues ---    0.36986   0.37202   0.37216   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37240   0.37401   0.37648&lt;br /&gt;
     Eigenvalues ---    0.54297   0.599111000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-8.73979354D-04.&lt;br /&gt;
 Quartic linear search produced a step of -0.96736.&lt;br /&gt;
 Maximum step size (   0.500) exceeded in Quadratic search.&lt;br /&gt;
    -- Step size scaled by   0.624&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.07704691 RMS(Int)=  0.05101027&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.04051679 RMS(Int)=  0.00490986&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00542948 RMS(Int)=  0.00045787&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00003684 RMS(Int)=  0.00045612&lt;br /&gt;
 Iteration  5 RMS(Cart)=  0.00000001 RMS(Int)=  0.00045612&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02895   0.00030  -0.00031  -0.00006  -0.00037   2.02858&lt;br /&gt;
    R2        2.04446  -0.00475  -0.01193   0.00041  -0.01152   2.03294&lt;br /&gt;
    R3        2.47846   0.00204   0.00890  -0.00049   0.00840   2.48686&lt;br /&gt;
    R4        2.05913  -0.01033  -0.02714   0.00095  -0.02619   2.03294&lt;br /&gt;
    R5        2.84797   0.01002   0.02019  -0.00437   0.01582   2.86380&lt;br /&gt;
    R6        2.06193  -0.00517  -0.01073  -0.00020  -0.01093   2.05100&lt;br /&gt;
    R7        2.08576  -0.01034  -0.03238   0.00262  -0.02976   2.05599&lt;br /&gt;
    R8        2.85115   0.02365   0.07203   0.00109   0.07312   2.92427&lt;br /&gt;
    R9        2.07553  -0.00599  -0.02155   0.00049  -0.02106   2.05447&lt;br /&gt;
   R10        2.07497  -0.00803  -0.02421   0.00045  -0.02376   2.05121&lt;br /&gt;
   R11        2.89950  -0.01267  -0.04953   0.00388  -0.04565   2.85385&lt;br /&gt;
   R12        2.04753  -0.00330  -0.01161   0.00032  -0.01129   2.03623&lt;br /&gt;
   R13        2.46719   0.01716   0.02091  -0.00103   0.01988   2.48707&lt;br /&gt;
   R14        2.02843   0.00166   0.00004  -0.00007  -0.00004   2.02839&lt;br /&gt;
   R15        2.04150  -0.00303  -0.01006   0.00046  -0.00961   2.03189&lt;br /&gt;
    A1        1.99565   0.00432   0.02915   0.00073   0.02987   2.02552&lt;br /&gt;
    A2        2.13938  -0.00092  -0.01428  -0.00071  -0.01500   2.12437&lt;br /&gt;
    A3        2.14746  -0.00332  -0.01420   0.00004  -0.01417   2.13329&lt;br /&gt;
    A4        2.16018  -0.01160  -0.07175   0.00467  -0.06698   2.09320&lt;br /&gt;
    A5        2.19587  -0.00247  -0.02058  -0.00159  -0.02208   2.17379&lt;br /&gt;
    A6        1.92538   0.01416   0.09400  -0.00338   0.09071   2.01609&lt;br /&gt;
    A7        1.93191  -0.00314  -0.02099   0.00128  -0.01974   1.91217&lt;br /&gt;
    A8        1.92989  -0.00707  -0.01486  -0.00096  -0.01557   1.91432&lt;br /&gt;
    A9        1.91954   0.01365   0.04587  -0.00084   0.04510   1.96465&lt;br /&gt;
   A10        1.89641  -0.00009  -0.02958   0.00334  -0.02623   1.87019&lt;br /&gt;
   A11        1.90280  -0.00492  -0.00218   0.00158  -0.00068   1.90212&lt;br /&gt;
   A12        1.88230   0.00153   0.02001  -0.00447   0.01563   1.89794&lt;br /&gt;
   A13        1.86672   0.00766   0.02685  -0.00525   0.02155   1.88827&lt;br /&gt;
   A14        1.87966   0.01019   0.03360  -0.00331   0.03045   1.91011&lt;br /&gt;
   A15        2.05144  -0.02279  -0.09605   0.00532  -0.09084   1.96061&lt;br /&gt;
   A16        1.88551  -0.00552  -0.01084   0.00424  -0.00645   1.87906&lt;br /&gt;
   A17        1.86490   0.00685   0.03763  -0.00128   0.03611   1.90101&lt;br /&gt;
   A18        1.90955   0.00425   0.01282   0.00038   0.01312   1.92267&lt;br /&gt;
   A19        1.96143   0.00588   0.04814   0.00157   0.04902   2.01046&lt;br /&gt;
   A20        2.18579  -0.00244  -0.00266   0.00032  -0.00302   2.18277&lt;br /&gt;
   A21        2.09295  -0.00074  -0.00390   0.00159  -0.00300   2.08995&lt;br /&gt;
   A22        2.10259   0.00417   0.02433  -0.00157   0.02475   2.12734&lt;br /&gt;
   A23        2.12919   0.00259  -0.00162  -0.00115  -0.00078   2.12842&lt;br /&gt;
   A24        1.96713   0.00326   0.05875  -0.00051   0.06024   2.02737&lt;br /&gt;
    D1       -0.04197   0.00221   0.04741  -0.00681   0.04035  -0.00162&lt;br /&gt;
    D2        3.02979   0.00449   0.10700  -0.01290   0.09436   3.12415&lt;br /&gt;
    D3       -3.14108  -0.00052   0.00619  -0.00847  -0.00253   3.13958&lt;br /&gt;
    D4       -0.06932   0.00176   0.06578  -0.01456   0.05147  -0.01784&lt;br /&gt;
    D5        0.67735  -0.00403   0.14994  -0.18503  -0.03495   0.64240&lt;br /&gt;
    D6       -1.42516   0.00281   0.20854  -0.18943   0.01932  -1.40584&lt;br /&gt;
    D7        2.78106  -0.00328   0.16331  -0.18277  -0.01928   2.76178&lt;br /&gt;
    D8       -2.52614  -0.00282   0.20211  -0.19015   0.01174  -2.51439&lt;br /&gt;
    D9        1.65454   0.00402   0.26071  -0.19455   0.06601   1.72055&lt;br /&gt;
   D10       -0.42242  -0.00207   0.21548  -0.18790   0.02741  -0.39501&lt;br /&gt;
   D11       -3.04956  -0.00113   0.00683   0.01643   0.02329  -3.02627&lt;br /&gt;
   D12       -1.02654   0.00135   0.02615   0.01707   0.04306  -0.98349&lt;br /&gt;
   D13        1.13837  -0.00111   0.00095   0.01871   0.01956   1.15793&lt;br /&gt;
   D14       -0.92837   0.00042   0.00860   0.01849   0.02720  -0.90117&lt;br /&gt;
   D15        1.09465   0.00290   0.02792   0.01913   0.04696   1.14161&lt;br /&gt;
   D16       -3.02363   0.00044   0.00273   0.02077   0.02347  -3.00016&lt;br /&gt;
   D17        1.12774  -0.00152  -0.01673   0.02083   0.00429   1.13203&lt;br /&gt;
   D18       -3.13243   0.00096   0.00259   0.02147   0.02405  -3.10837&lt;br /&gt;
   D19       -0.96752  -0.00150  -0.02260   0.02311   0.00056  -0.96696&lt;br /&gt;
   D20        0.75250   0.00505   0.30385   0.07835   0.38228   1.13478&lt;br /&gt;
   D21       -2.07561  -0.00456   0.00805   0.06568   0.07378  -2.00183&lt;br /&gt;
   D22       -1.34372   0.00462   0.30417   0.08272   0.38690  -0.95682&lt;br /&gt;
   D23        2.11136  -0.00499   0.00837   0.07005   0.07840   2.18976&lt;br /&gt;
   D24        2.90231   0.00519   0.28861   0.07823   0.36678  -3.01409&lt;br /&gt;
   D25        0.07420  -0.00442  -0.00719   0.06555   0.05828   0.13249&lt;br /&gt;
   D26        2.82657   0.01666   0.30081  -0.00233   0.29846   3.12502&lt;br /&gt;
   D27        0.14587  -0.01007  -0.15654   0.00615  -0.15040  -0.00453&lt;br /&gt;
   D28        0.02020   0.00534  -0.01571  -0.01586  -0.03157  -0.01137&lt;br /&gt;
   D29       -2.66050  -0.02139  -0.47307  -0.00738  -0.48042  -3.14092&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.023650     0.000450     NO &lt;br /&gt;
 RMS     Force            0.007781     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.506913     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.102586     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-5.787402D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.086914   -0.190423    0.046256&lt;br /&gt;
    2          1             0       -0.119784   -0.193879    1.119227&lt;br /&gt;
    3          1             0        0.857306   -0.451298   -0.398385&lt;br /&gt;
    4          6             0       -1.142766    0.115329   -0.677294&lt;br /&gt;
    5          1             0       -2.069704    0.368936   -0.193779&lt;br /&gt;
    6          6             0       -1.162644    0.161482   -2.191918&lt;br /&gt;
    7          1             0       -0.537440   -0.632437   -2.587872&lt;br /&gt;
    8          1             0       -0.740755    1.103688   -2.535385&lt;br /&gt;
    9          6             0       -2.589835    0.014947   -2.771809&lt;br /&gt;
   10          1             0       -2.510536   -0.060981   -3.853429&lt;br /&gt;
   11          1             0       -3.034510   -0.906269   -2.408715&lt;br /&gt;
   12          6             0       -3.472929    1.190471   -2.426890&lt;br /&gt;
   13          1             0       -3.171398    2.131964   -2.855537&lt;br /&gt;
   14          6             0       -4.541450    1.134246   -1.660586&lt;br /&gt;
   15          1             0       -5.125013    2.006803   -1.436442&lt;br /&gt;
   16          1             0       -4.873823    0.214180   -1.214349&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073480   0.000000&lt;br /&gt;
     3  H    1.075785   1.823216   0.000000&lt;br /&gt;
     4  C    1.315991   2.090356   2.097415   0.000000&lt;br /&gt;
     5  H    2.074115   2.417216   3.046644   1.075787   0.000000&lt;br /&gt;
     6  C    2.508077   3.489630   2.769921   1.515457   2.204168&lt;br /&gt;
     7  H    2.708686   3.756241   2.602304   2.139131   3.013679&lt;br /&gt;
     8  H    2.960929   3.927528   3.088455   2.142655   2.790894&lt;br /&gt;
     9  C    3.774689   4.613558   4.211094   2.547759   2.653693&lt;br /&gt;
    10  H    4.593282   5.519118   4.840665   3.462617   3.711092&lt;br /&gt;
    11  H    3.902260   4.631360   4.403937   2.760467   2.731839&lt;br /&gt;
    12  C    4.414569   5.072963   5.055807   3.105910   2.762381&lt;br /&gt;
    13  H    4.829899   5.524549   5.379712   3.595401   3.377419&lt;br /&gt;
    14  C    4.950853   5.389101   5.766600   3.681862   2.974349&lt;br /&gt;
    15  H    5.692859   6.035459   6.550418   4.473508   3.682626&lt;br /&gt;
    16  H    4.966621   5.311589   5.827050   3.770807   2.988076&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085341   0.000000&lt;br /&gt;
     8  H    1.087985   1.748777   0.000000&lt;br /&gt;
     9  C    1.547456   2.159922   2.158784   0.000000&lt;br /&gt;
    10  H    2.151028   2.412738   2.495159   1.087178   0.000000&lt;br /&gt;
    11  H    2.165866   2.518420   3.052422   1.085455   1.753927&lt;br /&gt;
    12  C    2.539970   3.459191   2.735704   1.510193   2.127757&lt;br /&gt;
    13  H    2.891070   3.827701   2.658547   2.197040   2.498307&lt;br /&gt;
    14  C    3.555969   4.473603   3.900191   2.509273   3.218966&lt;br /&gt;
    15  H    4.435800   5.416383   4.609231   3.489674   4.117408&lt;br /&gt;
    16  H    3.838134   4.626829   4.429290   2.771638   3.553250&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.142163   0.000000&lt;br /&gt;
    13  H    3.073963   1.077528   0.000000&lt;br /&gt;
    14  C    2.644669   1.316100   2.073739   0.000000&lt;br /&gt;
    15  H    3.715039   2.092072   2.417873   1.073379   0.000000&lt;br /&gt;
    16  H    2.462721   2.094255   3.044609   1.075230   1.823710&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.643927   -0.645113    0.001960&lt;br /&gt;
    2          1             0        3.053908   -1.631858   -0.101044&lt;br /&gt;
    3          1             0        3.356439    0.153920    0.107730&lt;br /&gt;
    4          6             0        1.345388   -0.431544   -0.002069&lt;br /&gt;
    5          1             0        0.665776   -1.258181   -0.112137&lt;br /&gt;
    6          6             0        0.697650    0.928882    0.160065&lt;br /&gt;
    7          1             0        1.297314    1.679364   -0.345055&lt;br /&gt;
    8          1             0        0.668375    1.197540    1.213952&lt;br /&gt;
    9          6             0       -0.742598    0.971894   -0.404252&lt;br /&gt;
   10          1             0       -1.094013    1.999744   -0.359666&lt;br /&gt;
   11          1             0       -0.730894    0.672811   -1.447624&lt;br /&gt;
   12          6             0       -1.691811    0.095509    0.377814&lt;br /&gt;
   13          1             0       -1.860517    0.398360    1.398053&lt;br /&gt;
   14          6             0       -2.294999   -0.974933   -0.093820&lt;br /&gt;
   15          1             0       -2.949895   -1.570519    0.513248&lt;br /&gt;
   16          1             0       -2.151834   -1.309352   -1.105643&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.2921859      1.8782483      1.6017220&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.0379138648 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.690451733     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.4050D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000286569   -0.001183349    0.000369839&lt;br /&gt;
    2          1          -0.000211815   -0.000060428    0.000010061&lt;br /&gt;
    3          1          -0.000508827    0.000157695   -0.000146472&lt;br /&gt;
    4          6          -0.000596186    0.000580985   -0.000275631&lt;br /&gt;
    5          1           0.001244263    0.001020712    0.000173555&lt;br /&gt;
    6          6           0.001224086    0.000717256    0.000052363&lt;br /&gt;
    7          1           0.000318274    0.000732992    0.000072362&lt;br /&gt;
    8          1          -0.000801131   -0.000220234    0.000617603&lt;br /&gt;
    9          6          -0.001834602   -0.001671070   -0.001458870&lt;br /&gt;
   10          1          -0.000506787   -0.000460008    0.000462154&lt;br /&gt;
   11          1           0.000186749    0.000625355   -0.000125793&lt;br /&gt;
   12          6           0.001777927   -0.000149043   -0.000862010&lt;br /&gt;
   13          1           0.000019589   -0.000108707    0.000750939&lt;br /&gt;
   14          6          -0.000392095   -0.000015564    0.001760896&lt;br /&gt;
   15          1          -0.000262634    0.000031015   -0.000638600&lt;br /&gt;
   16          1           0.000056620    0.000002393   -0.000762396&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.001834602 RMS     0.000754473&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.001558958 RMS     0.000505752&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   7 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  5  7&lt;br /&gt;
 Trust test= 1.14D+00 RLast= 5.11D-01 DXMaxT set to 7.07D-01&lt;br /&gt;
     Eigenvalues ---   -0.01213   0.00101   0.00240   0.00625   0.01301&lt;br /&gt;
     Eigenvalues ---    0.02103   0.02681   0.02697   0.02976   0.03929&lt;br /&gt;
     Eigenvalues ---    0.03989   0.05027   0.05337   0.08636   0.09123&lt;br /&gt;
     Eigenvalues ---    0.12050   0.12827   0.13805   0.14511   0.15962&lt;br /&gt;
     Eigenvalues ---    0.15999   0.16005   0.16095   0.17685   0.20998&lt;br /&gt;
     Eigenvalues ---    0.21950   0.22900   0.27008   0.28206   0.30190&lt;br /&gt;
     Eigenvalues ---    0.35754   0.37162   0.37215   0.37227   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37238   0.37253   0.37428&lt;br /&gt;
     Eigenvalues ---    0.53959   0.587371000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.28245295D-02.&lt;br /&gt;
 Skip linear search -- no minimum in search direction.&lt;br /&gt;
 Maximum step size (   0.707) exceeded in Quadratic search.&lt;br /&gt;
    -- Step size scaled by   0.165&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.10417898 RMS(Int)=  0.01051211&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.01163442 RMS(Int)=  0.00378658&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00017028 RMS(Int)=  0.00378464&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000126 RMS(Int)=  0.00378464&lt;br /&gt;
 Iteration  5 RMS(Cart)=  0.00000002 RMS(Int)=  0.00378464&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02858   0.00002   0.00000   0.00361   0.00361   2.03220&lt;br /&gt;
    R2        2.03294  -0.00042   0.00000  -0.01423  -0.01423   2.01871&lt;br /&gt;
    R3        2.48686   0.00003   0.00000   0.01535   0.01535   2.50221&lt;br /&gt;
    R4        2.03294  -0.00075   0.00000  -0.02422  -0.02422   2.00872&lt;br /&gt;
    R5        2.86380   0.00012   0.00000   0.00134   0.00134   2.86514&lt;br /&gt;
    R6        2.05100  -0.00038   0.00000  -0.00921  -0.00921   2.04178&lt;br /&gt;
    R7        2.05599  -0.00070   0.00000  -0.03256  -0.03256   2.02344&lt;br /&gt;
    R8        2.92427   0.00137   0.00000   0.04795   0.04795   2.97221&lt;br /&gt;
    R9        2.05447  -0.00046   0.00000  -0.01816  -0.01816   2.03631&lt;br /&gt;
   R10        2.05121  -0.00065   0.00000  -0.01878  -0.01878   2.03244&lt;br /&gt;
   R11        2.85385  -0.00083   0.00000  -0.08881  -0.08881   2.76504&lt;br /&gt;
   R12        2.03623  -0.00039   0.00000  -0.00874  -0.00874   2.02749&lt;br /&gt;
   R13        2.48707   0.00069   0.00000   0.02512   0.02512   2.51219&lt;br /&gt;
   R14        2.02839   0.00003   0.00000   0.00161   0.00161   2.03001&lt;br /&gt;
   R15        2.03189  -0.00034   0.00000  -0.01117  -0.01117   2.02072&lt;br /&gt;
    A1        2.02552   0.00037   0.00000  -0.00936  -0.00937   2.01615&lt;br /&gt;
    A2        2.12437  -0.00001   0.00000   0.01574   0.01574   2.14011&lt;br /&gt;
    A3        2.13329  -0.00035   0.00000  -0.00638  -0.00639   2.12690&lt;br /&gt;
    A4        2.09320  -0.00049   0.00000  -0.06038  -0.06069   2.03252&lt;br /&gt;
    A5        2.17379  -0.00010   0.00000   0.03173   0.03140   2.20519&lt;br /&gt;
    A6        2.01609   0.00060   0.00000   0.02928   0.02893   2.04502&lt;br /&gt;
    A7        1.91217  -0.00007   0.00000  -0.00317  -0.00320   1.90898&lt;br /&gt;
    A8        1.91432  -0.00056   0.00000  -0.02921  -0.03145   1.88287&lt;br /&gt;
    A9        1.96465   0.00070   0.00000   0.03976   0.03899   2.00364&lt;br /&gt;
   A10        1.87019   0.00011   0.00000  -0.04932  -0.04927   1.82092&lt;br /&gt;
   A11        1.90212  -0.00038   0.00000  -0.02243  -0.02191   1.88021&lt;br /&gt;
   A12        1.89794   0.00018   0.00000   0.06030   0.06020   1.95814&lt;br /&gt;
   A13        1.88827   0.00050   0.00000   0.06842   0.06737   1.95564&lt;br /&gt;
   A14        1.91011   0.00069   0.00000   0.06476   0.06386   1.97397&lt;br /&gt;
   A15        1.96061  -0.00156   0.00000  -0.10031  -0.09877   1.86184&lt;br /&gt;
   A16        1.87906  -0.00038   0.00000  -0.05241  -0.05467   1.82439&lt;br /&gt;
   A17        1.90101   0.00051   0.00000   0.00669   0.00864   1.90965&lt;br /&gt;
   A18        1.92267   0.00028   0.00000   0.01475   0.01648   1.93916&lt;br /&gt;
   A19        2.01046   0.00042   0.00000   0.00065  -0.00003   2.01043&lt;br /&gt;
   A20        2.18277  -0.00029   0.00000   0.00625   0.00558   2.18835&lt;br /&gt;
   A21        2.08995  -0.00013   0.00000  -0.00719  -0.00786   2.08209&lt;br /&gt;
   A22        2.12734  -0.00003   0.00000   0.01052  -0.00653   2.12081&lt;br /&gt;
   A23        2.12842  -0.00035   0.00000  -0.01466  -0.03174   2.09668&lt;br /&gt;
   A24        2.02737   0.00039   0.00000   0.00764  -0.01039   2.01698&lt;br /&gt;
    D1       -0.00162   0.00008   0.00000   0.06224   0.06295   0.06133&lt;br /&gt;
    D2        3.12415   0.00012   0.00000   0.11324   0.11253  -3.04651&lt;br /&gt;
    D3        3.13958  -0.00001   0.00000   0.05526   0.05597  -3.08764&lt;br /&gt;
    D4       -0.01784   0.00003   0.00000   0.10626   0.10555   0.08771&lt;br /&gt;
    D5        0.64240  -0.00086   0.00000  -0.23504  -0.23521   0.40719&lt;br /&gt;
    D6       -1.40584  -0.00063   0.00000  -0.15628  -0.15749  -1.56333&lt;br /&gt;
    D7        2.76178  -0.00093   0.00000  -0.23918  -0.23919   2.52259&lt;br /&gt;
    D8       -2.51439  -0.00084   0.00000  -0.18680  -0.18604  -2.70044&lt;br /&gt;
    D9        1.72055  -0.00061   0.00000  -0.10805  -0.10832   1.61223&lt;br /&gt;
   D10       -0.39501  -0.00091   0.00000  -0.19095  -0.19003  -0.58504&lt;br /&gt;
   D11       -3.02627  -0.00015   0.00000   0.00719   0.00667  -3.01960&lt;br /&gt;
   D12       -0.98349   0.00006   0.00000   0.01875   0.02062  -0.96287&lt;br /&gt;
   D13        1.15793  -0.00015   0.00000   0.01538   0.01620   1.17413&lt;br /&gt;
   D14       -0.90117  -0.00004   0.00000   0.01374   0.01263  -0.88854&lt;br /&gt;
   D15        1.14161   0.00016   0.00000   0.02530   0.02658   1.16820&lt;br /&gt;
   D16       -3.00016  -0.00004   0.00000   0.02193   0.02216  -2.97799&lt;br /&gt;
   D17        1.13203  -0.00003   0.00000  -0.02404  -0.02614   1.10588&lt;br /&gt;
   D18       -3.10837   0.00018   0.00000  -0.01248  -0.01219  -3.12057&lt;br /&gt;
   D19       -0.96696  -0.00002   0.00000  -0.01585  -0.01661  -0.98357&lt;br /&gt;
   D20        1.13478  -0.00037   0.00000  -0.12312  -0.12309   1.01169&lt;br /&gt;
   D21       -2.00183  -0.00039   0.00000  -0.05411  -0.05397  -2.05579&lt;br /&gt;
   D22       -0.95682  -0.00034   0.00000  -0.14998  -0.15043  -1.10724&lt;br /&gt;
   D23        2.18976  -0.00037   0.00000  -0.08096  -0.08131   2.10846&lt;br /&gt;
   D24       -3.01409  -0.00035   0.00000  -0.09894  -0.09869  -3.11278&lt;br /&gt;
   D25        0.13249  -0.00038   0.00000  -0.02993  -0.02957   0.10292&lt;br /&gt;
   D26        3.12502   0.00058   0.00000   0.12965   0.12726  -3.03091&lt;br /&gt;
   D27       -0.00453  -0.00048   0.00000  -0.23226  -0.22967  -0.23420&lt;br /&gt;
   D28       -0.01137   0.00055   0.00000   0.20155   0.19896   0.18759&lt;br /&gt;
   D29       -3.14092  -0.00051   0.00000  -0.16036  -0.15797   2.98430&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.001559     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000506     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.438021     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.109183     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-5.309186D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.084295   -0.220645    0.047083&lt;br /&gt;
    2          1             0       -0.118906   -0.271528    1.120712&lt;br /&gt;
    3          1             0        0.821705   -0.566372   -0.401034&lt;br /&gt;
    4          6             0       -1.095206    0.231110   -0.679036&lt;br /&gt;
    5          1             0       -1.935368    0.600727   -0.142921&lt;br /&gt;
    6          6             0       -1.184140    0.233193   -2.192589&lt;br /&gt;
    7          1             0       -0.528714   -0.527667   -2.591233&lt;br /&gt;
    8          1             0       -0.766592    1.153984   -2.545179&lt;br /&gt;
    9          6             0       -2.624452   -0.025326   -2.769182&lt;br /&gt;
   10          1             0       -2.617455   -0.134542   -3.841177&lt;br /&gt;
   11          1             0       -3.066218   -0.936972   -2.407954&lt;br /&gt;
   12          6             0       -3.437491    1.135024   -2.403799&lt;br /&gt;
   13          1             0       -3.070129    2.079328   -2.756581&lt;br /&gt;
   14          6             0       -4.514070    1.105944   -1.624426&lt;br /&gt;
   15          1             0       -5.123985    1.977802   -1.476632&lt;br /&gt;
   16          1             0       -4.976879    0.172700   -1.382960&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.075392   0.000000&lt;br /&gt;
     3  H    1.068256   1.813117   0.000000&lt;br /&gt;
     4  C    1.324112   2.108293   2.094710   0.000000&lt;br /&gt;
     5  H    2.034017   2.378473   3.005027   1.062971   0.000000&lt;br /&gt;
     6  C    2.536091   3.516736   2.805777   1.516165   2.213722&lt;br /&gt;
     7  H    2.693043   3.743272   2.573344   2.133812   3.040753&lt;br /&gt;
     8  H    3.012467   3.986269   3.174850   2.107647   2.728181&lt;br /&gt;
     9  C    3.797617   4.633535   4.216260   2.602510   2.786400&lt;br /&gt;
    10  H    4.641431   5.557145   4.883532   3.528467   3.831835&lt;br /&gt;
    11  H    3.928384   4.645531   4.391016   2.870272   2.962046&lt;br /&gt;
    12  C    4.369049   5.041188   5.004654   3.046008   2.766481&lt;br /&gt;
    13  H    4.697405   5.410143   5.262576   3.410634   3.210166&lt;br /&gt;
    14  C    4.916980   5.361966   5.723969   3.653454   3.016588&lt;br /&gt;
    15  H    5.705555   6.070955   6.555986   4.462976   3.720538&lt;br /&gt;
    16  H    5.112448   5.483212   5.927392   3.945416   3.312355&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.080466   0.000000&lt;br /&gt;
     8  H    1.070758   1.699016   0.000000&lt;br /&gt;
     9  C    1.572828   2.162435   2.211920   0.000000&lt;br /&gt;
    10  H    2.215280   2.465715   2.601077   1.077568   0.000000&lt;br /&gt;
    11  H    2.226631   2.576829   3.111142   1.075519   1.702766&lt;br /&gt;
    12  C    2.436288   3.355690   2.674705   1.463198   2.085740&lt;br /&gt;
    13  H    2.698751   3.644524   2.491432   2.151361   2.506488&lt;br /&gt;
    14  C    3.488974   4.414347   3.859233   2.482115   3.170164&lt;br /&gt;
    15  H    4.367910   5.351282   4.561506   3.454110   4.041752&lt;br /&gt;
    16  H    3.878663   4.662253   4.476627   2.737652   3.421127&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.105000   0.000000&lt;br /&gt;
    13  H    3.036383   1.072902   0.000000&lt;br /&gt;
    14  C    2.623680   1.329395   2.077069   0.000000&lt;br /&gt;
    15  H    3.687502   2.100994   2.422169   1.074232   0.000000&lt;br /&gt;
    16  H    2.435695   2.082762   3.026179   1.069319   1.813507&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.651309   -0.614035    0.083509&lt;br /&gt;
    2          1             0       -3.077434   -1.586857    0.252332&lt;br /&gt;
    3          1             0       -3.346547    0.196915    0.070326&lt;br /&gt;
    4          6             0       -1.352344   -0.423974   -0.089233&lt;br /&gt;
    5          1             0       -0.744907   -1.296019   -0.110797&lt;br /&gt;
    6          6             0       -0.648985    0.913062   -0.217215&lt;br /&gt;
    7          1             0       -1.251561    1.680900    0.246179&lt;br /&gt;
    8          1             0       -0.633365    1.178359   -1.254468&lt;br /&gt;
    9          6             0        0.782321    0.970398    0.432297&lt;br /&gt;
   10          1             0        1.191047    1.967400    0.423191&lt;br /&gt;
   11          1             0        0.786641    0.686468    1.469652&lt;br /&gt;
   12          6             0        1.638398    0.086532   -0.359450&lt;br /&gt;
   13          1             0        1.703973    0.328575   -1.402635&lt;br /&gt;
   14          6             0        2.250285   -1.002527    0.095339&lt;br /&gt;
   15          1             0        2.945005   -1.551584   -0.512835&lt;br /&gt;
   16          1             0        2.316948   -1.180891    1.147568&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.2965474      1.8964036      1.6242181&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.7222416857 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.681074512     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.7327D-08             -V/T =  2.0014&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.004768822    0.002101692   -0.009443674&lt;br /&gt;
    2          1          -0.000972731    0.005376665   -0.001657872&lt;br /&gt;
    3          1           0.003626106   -0.005368891   -0.002599793&lt;br /&gt;
    4          6           0.003144667   -0.012338247    0.009832798&lt;br /&gt;
    5          1          -0.011338676    0.003782969   -0.000393103&lt;br /&gt;
    6          6           0.007970027   -0.022360971   -0.003070838&lt;br /&gt;
    7          1           0.003798377   -0.004746288    0.002024720&lt;br /&gt;
    8          1          -0.006034244    0.013386626   -0.008564423&lt;br /&gt;
    9          6           0.016493957    0.000129661    0.005803450&lt;br /&gt;
   10          1           0.010230064    0.003058567   -0.007206922&lt;br /&gt;
   11          1           0.003608443   -0.005304268    0.009788800&lt;br /&gt;
   12          6          -0.030955296    0.019747039    0.021346569&lt;br /&gt;
   13          1           0.000110350    0.003340433   -0.001168883&lt;br /&gt;
   14          6          -0.002672222    0.001305985   -0.033421337&lt;br /&gt;
   15          1           0.005224743    0.001890194    0.007691467&lt;br /&gt;
   16          1           0.002535259   -0.004001166    0.011039040&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.033421337 RMS     0.010495750&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.033352878 RMS     0.007768240&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   8 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  5  8  7&lt;br /&gt;
 Trust test=-1.77D+00 RLast= 7.05D-01 DXMaxT set to 3.54D-01&lt;br /&gt;
     Eigenvalues ---    0.00094   0.00240   0.00356   0.01225   0.01911&lt;br /&gt;
     Eigenvalues ---    0.02683   0.02698   0.02736   0.03593   0.04317&lt;br /&gt;
     Eigenvalues ---    0.04585   0.05038   0.05264   0.08951   0.09994&lt;br /&gt;
     Eigenvalues ---    0.12309   0.13497   0.14219   0.15588   0.15978&lt;br /&gt;
     Eigenvalues ---    0.16003   0.16051   0.16143   0.20650   0.21827&lt;br /&gt;
     Eigenvalues ---    0.22754   0.23101   0.28023   0.29690   0.31592&lt;br /&gt;
     Eigenvalues ---    0.36969   0.37165   0.37217   0.37228   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37232   0.37249   0.37417   0.37792&lt;br /&gt;
     Eigenvalues ---    0.53986   0.595971000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.18448926D-03.&lt;br /&gt;
 Quartic linear search produced a step of -0.90717.&lt;br /&gt;
 Maximum step size (   0.354) exceeded in Quadratic search.&lt;br /&gt;
    -- Step size scaled by   0.606&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.07889020 RMS(Int)=  0.00731292&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00715211 RMS(Int)=  0.00012394&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00008648 RMS(Int)=  0.00009759&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000002 RMS(Int)=  0.00009759&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03220  -0.00188  -0.00328   0.00005  -0.00323   2.02896&lt;br /&gt;
    R2        2.01871   0.00590   0.01291  -0.00095   0.01196   2.03067&lt;br /&gt;
    R3        2.50221  -0.00985  -0.01392   0.00026  -0.01366   2.48855&lt;br /&gt;
    R4        2.00872   0.01008   0.02197  -0.00115   0.02082   2.02954&lt;br /&gt;
    R5        2.86514  -0.00485  -0.00121  -0.00296  -0.00417   2.86097&lt;br /&gt;
    R6        2.04178   0.00490   0.00836  -0.00112   0.00723   2.04902&lt;br /&gt;
    R7        2.02344   0.01198   0.02953  -0.00025   0.02928   2.05272&lt;br /&gt;
    R8        2.97221  -0.01259  -0.04350   0.00483  -0.03866   2.93355&lt;br /&gt;
    R9        2.03631   0.00693   0.01647  -0.00085   0.01562   2.05193&lt;br /&gt;
   R10        2.03244   0.00630   0.01703  -0.00137   0.01566   2.04810&lt;br /&gt;
   R11        2.76504   0.03335   0.08056   0.00079   0.08135   2.84640&lt;br /&gt;
   R12        2.02749   0.00336   0.00793  -0.00079   0.00714   2.03464&lt;br /&gt;
   R13        2.51219  -0.01272  -0.02279   0.00141  -0.02138   2.49081&lt;br /&gt;
   R14        2.03001  -0.00037  -0.00146   0.00014  -0.00133   2.02868&lt;br /&gt;
   R15        2.02072   0.00489   0.01013  -0.00059   0.00954   2.03026&lt;br /&gt;
    A1        2.01615   0.00194   0.00850   0.00226   0.01076   2.02691&lt;br /&gt;
    A2        2.14011  -0.00402  -0.01428  -0.00010  -0.01437   2.12574&lt;br /&gt;
    A3        2.12690   0.00208   0.00580  -0.00217   0.00363   2.13053&lt;br /&gt;
    A4        2.03252   0.01036   0.05505   0.00115   0.05608   2.08860&lt;br /&gt;
    A5        2.20519  -0.00810  -0.02848  -0.00032  -0.02892   2.17627&lt;br /&gt;
    A6        2.04502  -0.00223  -0.02624  -0.00053  -0.02689   2.01813&lt;br /&gt;
    A7        1.90898  -0.00029   0.00290   0.00092   0.00388   1.91285&lt;br /&gt;
    A8        1.88287   0.01013   0.02853  -0.00541   0.02316   1.90602&lt;br /&gt;
    A9        2.00364  -0.01019  -0.03537   0.00087  -0.03455   1.96909&lt;br /&gt;
   A10        1.82092   0.00172   0.04469   0.00399   0.04876   1.86968&lt;br /&gt;
   A11        1.88021   0.00691   0.01987   0.00102   0.02091   1.90112&lt;br /&gt;
   A12        1.95814  -0.00720  -0.05461  -0.00094  -0.05571   1.90243&lt;br /&gt;
   A13        1.95564  -0.01269  -0.06112  -0.00027  -0.06130   1.89434&lt;br /&gt;
   A14        1.97397  -0.01229  -0.05793   0.00048  -0.05738   1.91659&lt;br /&gt;
   A15        1.86184   0.02440   0.08960  -0.00163   0.08783   1.94967&lt;br /&gt;
   A16        1.82439   0.00916   0.04960   0.00043   0.05024   1.87463&lt;br /&gt;
   A17        1.90965  -0.00416  -0.00784   0.00069  -0.00733   1.90232&lt;br /&gt;
   A18        1.93916  -0.00555  -0.01495   0.00041  -0.01472   1.92444&lt;br /&gt;
   A19        2.01043   0.00035   0.00003   0.00249   0.00234   2.01276&lt;br /&gt;
   A20        2.18835   0.00133  -0.00506  -0.00160  -0.00684   2.18151&lt;br /&gt;
   A21        2.08209  -0.00164   0.00713  -0.00013   0.00683   2.08892&lt;br /&gt;
   A22        2.12081   0.00081   0.00592   0.00116   0.00730   2.12811&lt;br /&gt;
   A23        2.09668   0.00458   0.02879  -0.00017   0.02884   2.12551&lt;br /&gt;
   A24        2.01698  -0.00023   0.00942   0.00293   0.01256   2.02955&lt;br /&gt;
    D1        0.06133  -0.00329  -0.05710  -0.00487  -0.06188  -0.00055&lt;br /&gt;
    D2       -3.04651  -0.00444  -0.10208  -0.01572  -0.11790   3.11878&lt;br /&gt;
    D3       -3.08764  -0.00262  -0.05078  -0.00691  -0.05759   3.13796&lt;br /&gt;
    D4        0.08771  -0.00378  -0.09576  -0.01776  -0.11361  -0.02590&lt;br /&gt;
    D5        0.40719   0.00188   0.21338  -0.13782   0.07546   0.48264&lt;br /&gt;
    D6       -1.56333  -0.00524   0.14287  -0.14015   0.00278  -1.56056&lt;br /&gt;
    D7        2.52259   0.00360   0.21699  -0.13520   0.08164   2.60422&lt;br /&gt;
    D8       -2.70044   0.00050   0.16877  -0.14877   0.02004  -2.68040&lt;br /&gt;
    D9        1.61223  -0.00662   0.09827  -0.15110  -0.05265   1.55958&lt;br /&gt;
   D10       -0.58504   0.00222   0.17238  -0.14615   0.02621  -0.55882&lt;br /&gt;
   D11       -3.01960   0.00358  -0.00605   0.00213  -0.00383  -3.02343&lt;br /&gt;
   D12       -0.96287  -0.00189  -0.01871   0.00282  -0.01603  -0.97890&lt;br /&gt;
   D13        1.17413   0.00044  -0.01470   0.00249  -0.01224   1.16189&lt;br /&gt;
   D14       -0.88854   0.00156  -0.01146   0.00466  -0.00668  -0.89522&lt;br /&gt;
   D15        1.16820  -0.00391  -0.02412   0.00535  -0.01889   1.14931&lt;br /&gt;
   D16       -2.97799  -0.00158  -0.02011   0.00502  -0.01509  -2.99309&lt;br /&gt;
   D17        1.10588   0.00388   0.02372   0.00956   0.03343   1.13931&lt;br /&gt;
   D18       -3.12057  -0.00159   0.01106   0.01025   0.02122  -3.09934&lt;br /&gt;
   D19       -0.98357   0.00073   0.01507   0.00992   0.02502  -0.95855&lt;br /&gt;
   D20        1.01169   0.00035   0.11166   0.00460   0.11627   1.12796&lt;br /&gt;
   D21       -2.05579  -0.00019   0.04896  -0.00757   0.04137  -2.01443&lt;br /&gt;
   D22       -1.10724   0.00342   0.13646   0.00551   0.14203  -0.96521&lt;br /&gt;
   D23        2.10846   0.00289   0.07376  -0.00666   0.06713   2.17558&lt;br /&gt;
   D24       -3.11278  -0.00208   0.08953   0.00435   0.09386  -3.01892&lt;br /&gt;
   D25        0.10292  -0.00262   0.02682  -0.00782   0.01895   0.12187&lt;br /&gt;
   D26       -3.03091  -0.00790  -0.11544   0.00172  -0.11374   3.13854&lt;br /&gt;
   D27       -0.23420   0.00971   0.20835   0.01574   0.22407  -0.01013&lt;br /&gt;
   D28        0.18759  -0.00854  -0.18049  -0.01100  -0.19147  -0.00388&lt;br /&gt;
   D29        2.98430   0.00907   0.14330   0.00302   0.14634   3.13064&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.033353     0.000450     NO &lt;br /&gt;
 RMS     Force            0.007768     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.316300     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.080390     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-7.233643D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.103389   -0.244011    0.043203&lt;br /&gt;
    2          1             0       -0.121223   -0.220202    1.116472&lt;br /&gt;
    3          1             0        0.789037   -0.638835   -0.406709&lt;br /&gt;
    4          6             0       -1.119412    0.183501   -0.677289&lt;br /&gt;
    5          1             0       -1.994343    0.567764   -0.187095&lt;br /&gt;
    6          6             0       -1.153409    0.206369   -2.190692&lt;br /&gt;
    7          1             0       -0.508983   -0.573527   -2.580784&lt;br /&gt;
    8          1             0       -0.757212    1.154537   -2.542755&lt;br /&gt;
    9          6             0       -2.582931    0.011858   -2.763821&lt;br /&gt;
   10          1             0       -2.512372   -0.080861   -3.843387&lt;br /&gt;
   11          1             0       -3.007679   -0.910973   -2.386185&lt;br /&gt;
   12          6             0       -3.480277    1.174437   -2.429208&lt;br /&gt;
   13          1             0       -3.196833    2.116062   -2.867668&lt;br /&gt;
   14          6             0       -4.549953    1.107271   -1.661991&lt;br /&gt;
   15          1             0       -5.154164    1.969764   -1.453418&lt;br /&gt;
   16          1             0       -4.869054    0.183605   -1.215581&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073681   0.000000&lt;br /&gt;
     3  H    1.074585   1.823159   0.000000&lt;br /&gt;
     4  C    1.316882   2.092113   2.095622   0.000000&lt;br /&gt;
     5  H    2.070681   2.414282   3.041598   1.073989   0.000000&lt;br /&gt;
     6  C    2.509118   3.490660   2.769488   1.513958   2.202766&lt;br /&gt;
     7  H    2.675517   3.734287   2.532927   2.137523   3.039504&lt;br /&gt;
     8  H    3.011743   3.960345   3.189006   2.134025   2.724689&lt;br /&gt;
     9  C    3.754062   4.601145   4.165279   2.554401   2.700923&lt;br /&gt;
    10  H    4.575521   5.507922   4.798061   3.469063   3.749339&lt;br /&gt;
    11  H    3.844693   4.591013   4.290389   2.771958   2.837166&lt;br /&gt;
    12  C    4.419070   5.079381   5.060188   3.102395   2.757376&lt;br /&gt;
    13  H    4.859270   5.548953   5.434421   3.584442   3.320946&lt;br /&gt;
    14  C    4.950311   5.394042   5.755818   3.686678   2.999588&lt;br /&gt;
    15  H    5.714105   6.060592   6.574346   4.480215   3.681528&lt;br /&gt;
    16  H    4.947621   5.305038   5.774485   3.788082   3.077227&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084294   0.000000&lt;br /&gt;
     8  H    1.086252   1.746215   0.000000&lt;br /&gt;
     9  C    1.552368   2.162739   2.165141   0.000000&lt;br /&gt;
    10  H    2.158861   2.418771   2.509669   1.085835   0.000000&lt;br /&gt;
    11  H    2.173704   2.528877   3.058668   1.083807   1.748672&lt;br /&gt;
    12  C    2.531474   3.450643   2.725504   1.506249   2.124269&lt;br /&gt;
    13  H    2.877639   3.813230   2.642319   2.194387   2.499397&lt;br /&gt;
    14  C    3.553542   4.471990   3.893952   2.506618   3.212769&lt;br /&gt;
    15  H    4.433867   5.414516   4.602656   3.487375   4.110484&lt;br /&gt;
    16  H    3.841533   4.631116   4.428469   2.766387   3.539669&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.138723   0.000000&lt;br /&gt;
    13  H    3.070920   1.076683   0.000000&lt;br /&gt;
    14  C    2.641283   1.318082   2.074187   0.000000&lt;br /&gt;
    15  H    3.711616   2.094423   2.419226   1.073530   0.000000&lt;br /&gt;
    16  H    2.456243   2.093642   3.043042   1.074368   1.824340&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.642290   -0.638589    0.046817&lt;br /&gt;
    2          1             0       -3.057679   -1.626926    0.105423&lt;br /&gt;
    3          1             0       -3.344321    0.173530    0.095261&lt;br /&gt;
    4          6             0       -1.346621   -0.436535   -0.073989&lt;br /&gt;
    5          1             0       -0.679134   -1.276891   -0.115385&lt;br /&gt;
    6          6             0       -0.693962    0.924545   -0.190456&lt;br /&gt;
    7          1             0       -1.309117    1.666570    0.306210&lt;br /&gt;
    8          1             0       -0.637501    1.205307   -1.238276&lt;br /&gt;
    9          6             0        0.732602    0.962476    0.420544&lt;br /&gt;
   10          1             0        1.085829    1.989189    0.409176&lt;br /&gt;
   11          1             0        0.697506    0.643083    1.455626&lt;br /&gt;
   12          6             0        1.695064    0.104240   -0.357841&lt;br /&gt;
   13          1             0        1.883229    0.423788   -1.368647&lt;br /&gt;
   14          6             0        2.296410   -0.971631    0.109303&lt;br /&gt;
   15          1             0        2.972994   -1.549770   -0.491076&lt;br /&gt;
   16          1             0        2.140975   -1.314922    1.115413&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.3199348      1.8766620      1.6045372&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.0752185951 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.691245426     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.2149D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000934162   -0.001155741   -0.000745605&lt;br /&gt;
    2          1          -0.000295667    0.000092519   -0.000205493&lt;br /&gt;
    3          1           0.000350526   -0.000098728   -0.000224793&lt;br /&gt;
    4          6           0.000444765    0.000017833    0.000330196&lt;br /&gt;
    5          1          -0.000325772    0.001281738    0.000112988&lt;br /&gt;
    6          6           0.000404172   -0.002057885    0.000088801&lt;br /&gt;
    7          1           0.000963733    0.000221895    0.000065671&lt;br /&gt;
    8          1          -0.001196732    0.001040536   -0.000666474&lt;br /&gt;
    9          6           0.000913078   -0.000320310    0.000464966&lt;br /&gt;
   10          1           0.000597986   -0.000001495   -0.000432131&lt;br /&gt;
   11          1           0.000516929   -0.000178299    0.001022486&lt;br /&gt;
   12          6          -0.003128997    0.000574601    0.000728913&lt;br /&gt;
   13          1           0.000382540    0.000444749    0.000576360&lt;br /&gt;
   14          6           0.001049919    0.000368366   -0.001074380&lt;br /&gt;
   15          1           0.000199559    0.000028638   -0.000144037&lt;br /&gt;
   16          1           0.000058123   -0.000258418    0.000102533&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.003128997 RMS     0.000795904&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.001793007 RMS     0.000587487&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   9 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  8  7  9&lt;br /&gt;
 Trust test= 1.10D+00 RLast= 3.96D-01 DXMaxT set to 5.00D-01&lt;br /&gt;
 Maximum step size (   0.500) exceeded in linear search.&lt;br /&gt;
    -- Step size scaled by   0.939&lt;br /&gt;
 Quartic linear search produced a step of  1.26304.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.09461465 RMS(Int)=  0.00596008&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00849451 RMS(Int)=  0.00004742&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00003860 RMS(Int)=  0.00003591&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00003591&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02896  -0.00020   0.00048   0.00000   0.00048   2.02944&lt;br /&gt;
    R2        2.03067   0.00042  -0.00286   0.00000  -0.00286   2.02781&lt;br /&gt;
    R3        2.48855  -0.00094   0.00213   0.00000   0.00213   2.49067&lt;br /&gt;
    R4        2.02954   0.00078  -0.00429   0.00000  -0.00429   2.02525&lt;br /&gt;
    R5        2.86097  -0.00075  -0.00358   0.00000  -0.00358   2.85739&lt;br /&gt;
    R6        2.04902   0.00039  -0.00250   0.00000  -0.00250   2.04652&lt;br /&gt;
    R7        2.05272   0.00069  -0.00414   0.00000  -0.00414   2.04858&lt;br /&gt;
    R8        2.93355  -0.00108   0.01172   0.00000   0.01172   2.94527&lt;br /&gt;
    R9        2.05193   0.00047  -0.00320   0.00000  -0.00320   2.04873&lt;br /&gt;
   R10        2.04810   0.00031  -0.00393   0.00000  -0.00393   2.04416&lt;br /&gt;
   R11        2.84640   0.00179  -0.00941   0.00000  -0.00941   2.83698&lt;br /&gt;
   R12        2.03464   0.00025  -0.00202   0.00000  -0.00202   2.03262&lt;br /&gt;
   R13        2.49081  -0.00172   0.00473   0.00000   0.00473   2.49554&lt;br /&gt;
   R14        2.02868  -0.00012   0.00036   0.00000   0.00036   2.02904&lt;br /&gt;
   R15        2.03026   0.00025  -0.00206   0.00000  -0.00206   2.02820&lt;br /&gt;
    A1        2.02691   0.00025   0.00176   0.00000   0.00176   2.02867&lt;br /&gt;
    A2        2.12574  -0.00039   0.00173   0.00000   0.00172   2.12746&lt;br /&gt;
    A3        2.13053   0.00014  -0.00349   0.00000  -0.00349   2.12704&lt;br /&gt;
    A4        2.08860   0.00066  -0.00582   0.00000  -0.00583   2.08276&lt;br /&gt;
    A5        2.17627  -0.00075   0.00313   0.00000   0.00311   2.17938&lt;br /&gt;
    A6        2.01813   0.00010   0.00257   0.00000   0.00255   2.02068&lt;br /&gt;
    A7        1.91285   0.00007   0.00085   0.00000   0.00084   1.91369&lt;br /&gt;
    A8        1.90602   0.00089  -0.01048   0.00000  -0.01049   1.89553&lt;br /&gt;
    A9        1.96909  -0.00108   0.00561   0.00000   0.00562   1.97471&lt;br /&gt;
   A10        1.86968   0.00001  -0.00063   0.00000  -0.00065   1.86903&lt;br /&gt;
   A11        1.90112   0.00066  -0.00126   0.00000  -0.00127   1.89985&lt;br /&gt;
   A12        1.90243  -0.00050   0.00567   0.00000   0.00570   1.90813&lt;br /&gt;
   A13        1.89434  -0.00084   0.00766   0.00000   0.00764   1.90197&lt;br /&gt;
   A14        1.91659  -0.00084   0.00818   0.00000   0.00816   1.92474&lt;br /&gt;
   A15        1.94967   0.00123  -0.01381   0.00000  -0.01377   1.93590&lt;br /&gt;
   A16        1.87463   0.00057  -0.00560   0.00000  -0.00566   1.86897&lt;br /&gt;
   A17        1.90232  -0.00001   0.00166   0.00000   0.00171   1.90404&lt;br /&gt;
   A18        1.92444  -0.00015   0.00223   0.00000   0.00228   1.92672&lt;br /&gt;
   A19        2.01276   0.00007   0.00291   0.00000   0.00290   2.01566&lt;br /&gt;
   A20        2.18151   0.00016  -0.00159   0.00000  -0.00161   2.17990&lt;br /&gt;
   A21        2.08892  -0.00023  -0.00131   0.00000  -0.00132   2.08760&lt;br /&gt;
   A22        2.12811  -0.00021   0.00097   0.00000   0.00083   2.12893&lt;br /&gt;
   A23        2.12551  -0.00002  -0.00367   0.00000  -0.00381   2.12171&lt;br /&gt;
   A24        2.02955   0.00023   0.00275   0.00000   0.00261   2.03215&lt;br /&gt;
    D1       -0.00055  -0.00007   0.00135   0.00000   0.00133   0.00078&lt;br /&gt;
    D2        3.11878   0.00012  -0.00678   0.00000  -0.00676   3.11202&lt;br /&gt;
    D3        3.13796  -0.00005  -0.00204   0.00000  -0.00206   3.13590&lt;br /&gt;
    D4       -0.02590   0.00014  -0.01017   0.00000  -0.01015  -0.03605&lt;br /&gt;
    D5        0.48264  -0.00075  -0.20177   0.00000  -0.20176   0.28089&lt;br /&gt;
    D6       -1.56056  -0.00131  -0.19541   0.00000  -0.19543  -1.75598&lt;br /&gt;
    D7        2.60422  -0.00059  -0.19900   0.00000  -0.19897   2.40526&lt;br /&gt;
    D8       -2.68040  -0.00055  -0.20967   0.00000  -0.20968  -2.89008&lt;br /&gt;
    D9        1.55958  -0.00111  -0.20331   0.00000  -0.20335   1.35623&lt;br /&gt;
   D10       -0.55882  -0.00039  -0.20690   0.00000  -0.20689  -0.76572&lt;br /&gt;
   D11       -3.02343   0.00027   0.00359   0.00000   0.00356  -3.01987&lt;br /&gt;
   D12       -0.97890   0.00000   0.00580   0.00000   0.00584  -0.97306&lt;br /&gt;
   D13        1.16189   0.00006   0.00501   0.00000   0.00501   1.16691&lt;br /&gt;
   D14       -0.89522   0.00010   0.00751   0.00000   0.00748  -0.88775&lt;br /&gt;
   D15        1.14931  -0.00017   0.00972   0.00000   0.00975   1.15906&lt;br /&gt;
   D16       -2.99309  -0.00011   0.00893   0.00000   0.00893  -2.98416&lt;br /&gt;
   D17        1.13931   0.00020   0.00920   0.00000   0.00916   1.14847&lt;br /&gt;
   D18       -3.09934  -0.00007   0.01141   0.00000   0.01143  -3.08791&lt;br /&gt;
   D19       -0.95855   0.00000   0.01062   0.00000   0.01061  -0.94794&lt;br /&gt;
   D20        1.12796  -0.00036  -0.00861   0.00000  -0.00860   1.11936&lt;br /&gt;
   D21       -2.01443  -0.00013  -0.01592   0.00000  -0.01592  -2.03035&lt;br /&gt;
   D22       -0.96521  -0.00008  -0.01060   0.00000  -0.01061  -0.97582&lt;br /&gt;
   D23        2.17558   0.00015  -0.01791   0.00000  -0.01793   2.15766&lt;br /&gt;
   D24       -3.01892  -0.00068  -0.00610   0.00000  -0.00608  -3.02501&lt;br /&gt;
   D25        0.12187  -0.00046  -0.01341   0.00000  -0.01340   0.10847&lt;br /&gt;
   D26        3.13854  -0.00012   0.01707   0.00000   0.01706  -3.12758&lt;br /&gt;
   D27       -0.01013  -0.00006  -0.00707   0.00000  -0.00708  -0.01721&lt;br /&gt;
   D28       -0.00388   0.00011   0.00946   0.00000   0.00947   0.00559&lt;br /&gt;
   D29        3.13064   0.00017  -0.01468   0.00000  -0.01467   3.11596&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.001793     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000587     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.448631     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.096237     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-6.733723D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.141429   -0.303905    0.039266&lt;br /&gt;
    2          1             0       -0.135187   -0.247395    1.111696&lt;br /&gt;
    3          1             0        0.660469   -0.856571   -0.411287&lt;br /&gt;
    4          6             0       -1.084692    0.267208   -0.682696&lt;br /&gt;
    5          1             0       -1.869763    0.805169   -0.189908&lt;br /&gt;
    6          6             0       -1.139623    0.261281   -2.193750&lt;br /&gt;
    7          1             0       -0.472823   -0.499975   -2.579355&lt;br /&gt;
    8          1             0       -0.776793    1.216134   -2.556792&lt;br /&gt;
    9          6             0       -2.571747    0.006949   -2.753644&lt;br /&gt;
   10          1             0       -2.514319   -0.106485   -3.830303&lt;br /&gt;
   11          1             0       -2.970496   -0.917298   -2.357542&lt;br /&gt;
   12          6             0       -3.485655    1.152784   -2.428628&lt;br /&gt;
   13          1             0       -3.225917    2.094247   -2.879329&lt;br /&gt;
   14          6             0       -4.554617    1.071377   -1.657502&lt;br /&gt;
   15          1             0       -5.183772    1.920170   -1.466216&lt;br /&gt;
   16          1             0       -4.855832    0.143067   -1.210918&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073936   0.000000&lt;br /&gt;
     3  H    1.073069   1.823085   0.000000&lt;br /&gt;
     4  C    1.318008   2.094330   2.093353   0.000000&lt;br /&gt;
     5  H    2.066326   2.410564   3.035203   1.071717   0.000000&lt;br /&gt;
     6  C    2.510416   3.491936   2.768952   1.512064   2.200977&lt;br /&gt;
     7  H    2.646780   3.715058   2.472252   2.135479   3.060114&lt;br /&gt;
     8  H    3.074691   4.001423   3.311347   2.123087   2.639245&lt;br /&gt;
     9  C    3.715296   4.576284   4.084057   2.562790   2.775370&lt;br /&gt;
    10  H    4.543473   5.486664   4.725629   3.477198   3.807760&lt;br /&gt;
    11  H    3.758266   4.530272   4.120134   2.786472   2.979454&lt;br /&gt;
    12  C    4.404122   5.071492   5.029663   3.097926   2.782770&lt;br /&gt;
    13  H    4.876823   5.564547   5.468323   3.570450   3.276257&lt;br /&gt;
    14  C    4.924089   5.379497   5.697996   3.692874   3.071342&lt;br /&gt;
    15  H    5.712986   6.068953   6.555785   4.488725   3.722210&lt;br /&gt;
    16  H    4.897790   5.275556   5.662885   3.809978   3.224508&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.082970   0.000000&lt;br /&gt;
     8  H    1.084062   1.742968   0.000000&lt;br /&gt;
     9  C    1.558571   2.166294   2.173187   0.000000&lt;br /&gt;
    10  H    2.168720   2.426398   2.527874   1.084140   0.000000&lt;br /&gt;
    11  H    2.183569   2.541994   3.066524   1.081725   1.741993&lt;br /&gt;
    12  C    2.520677   3.439693   2.712632   1.501267   2.119893&lt;br /&gt;
    13  H    2.860491   3.794668   2.621702   2.191016   2.500789&lt;br /&gt;
    14  C    3.550493   4.469900   3.886082   2.503260   3.204878&lt;br /&gt;
    15  H    4.431293   5.411952   4.594180   3.484331   4.101490&lt;br /&gt;
    16  H    3.845795   4.636474   4.427348   2.759634   3.522235&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.134404   0.000000&lt;br /&gt;
    13  H    3.067068   1.075616   0.000000&lt;br /&gt;
    14  C    2.637105   1.320584   2.074745   0.000000&lt;br /&gt;
    15  H    3.707328   2.097312   2.420823   1.073721   0.000000&lt;br /&gt;
    16  H    2.448186   2.092780   3.040941   1.073278   1.825052&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.622967   -0.639196    0.108668&lt;br /&gt;
    2          1             0       -3.050043   -1.624557    0.111309&lt;br /&gt;
    3          1             0       -3.288628    0.166943    0.350562&lt;br /&gt;
    4          6             0       -1.351281   -0.432135   -0.168973&lt;br /&gt;
    5          1             0       -0.721493   -1.267927   -0.400051&lt;br /&gt;
    6          6             0       -0.689296    0.926051   -0.227648&lt;br /&gt;
    7          1             0       -1.320255    1.659935    0.258284&lt;br /&gt;
    8          1             0       -0.598501    1.221976   -1.266577&lt;br /&gt;
    9          6             0        0.718507    0.950697    0.440654&lt;br /&gt;
   10          1             0        1.076335    1.973625    0.471265&lt;br /&gt;
   11          1             0        0.653870    0.605884    1.463911&lt;br /&gt;
   12          6             0        1.694025    0.112155   -0.333306&lt;br /&gt;
   13          1             0        1.906793    0.452150   -1.331345&lt;br /&gt;
   14          6             0        2.289783   -0.972647    0.127366&lt;br /&gt;
   15          1             0        2.990861   -1.530974   -0.463934&lt;br /&gt;
   16          1             0        2.118430   -1.326601    1.126006&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.2608262      1.8853238      1.6174483&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.1805948111 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.691788798     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.2491D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.002485878   -0.000557422   -0.001986857&lt;br /&gt;
    2          1          -0.000434718    0.000136585   -0.000471954&lt;br /&gt;
    3          1           0.001395348   -0.000553167   -0.000387526&lt;br /&gt;
    4          6           0.001927126   -0.001122086    0.001089849&lt;br /&gt;
    5          1          -0.002244514    0.001852496    0.000219347&lt;br /&gt;
    6          6          -0.000525585   -0.005493268    0.000100753&lt;br /&gt;
    7          1           0.001627361   -0.000633601    0.000060216&lt;br /&gt;
    8          1          -0.001601267    0.002356132   -0.002305696&lt;br /&gt;
    9          6           0.004297473    0.001721102    0.002600549&lt;br /&gt;
   10          1           0.001917707    0.000597601   -0.001665106&lt;br /&gt;
   11          1           0.001020962   -0.001138480    0.002523292&lt;br /&gt;
   12          6          -0.009464991    0.001326978    0.002911482&lt;br /&gt;
   13          1           0.000814779    0.001154008    0.000336796&lt;br /&gt;
   14          6           0.002929844    0.000858752   -0.004751640&lt;br /&gt;
   15          1           0.000779774    0.000068281    0.000508260&lt;br /&gt;
   16          1           0.000046580   -0.000573912    0.001218235&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.009464991 RMS     0.002305438&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.005190697 RMS     0.001649480&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  10 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  9 10&lt;br /&gt;
     Eigenvalues ---    0.00102   0.00225   0.00240   0.01307   0.01851&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02694   0.02745   0.03872   0.04064&lt;br /&gt;
     Eigenvalues ---    0.04263   0.05171   0.05346   0.09117   0.09945&lt;br /&gt;
     Eigenvalues ---    0.12663   0.13364   0.14252   0.15638   0.15998&lt;br /&gt;
     Eigenvalues ---    0.16010   0.16071   0.16143   0.20677   0.21871&lt;br /&gt;
     Eigenvalues ---    0.22813   0.24298   0.28017   0.29678   0.33020&lt;br /&gt;
     Eigenvalues ---    0.37075   0.37166   0.37217   0.37228   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37231   0.37233   0.37252   0.37417   0.40164&lt;br /&gt;
     Eigenvalues ---    0.54286   0.608821000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.06690057D-03.&lt;br /&gt;
 Quartic linear search produced a step of  0.22457.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.09254826 RMS(Int)=  0.00488283&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00830152 RMS(Int)=  0.00005575&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00003320 RMS(Int)=  0.00005011&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00005011&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02944  -0.00047   0.00011  -0.00074  -0.00063   2.02882&lt;br /&gt;
    R2        2.02781   0.00149  -0.00064   0.00232   0.00167   2.02948&lt;br /&gt;
    R3        2.49067  -0.00223   0.00048  -0.00281  -0.00233   2.48834&lt;br /&gt;
    R4        2.02525   0.00267  -0.00096   0.00484   0.00388   2.02913&lt;br /&gt;
    R5        2.85739  -0.00160  -0.00080  -0.00646  -0.00727   2.85012&lt;br /&gt;
    R6        2.04652   0.00143  -0.00056   0.00184   0.00127   2.04779&lt;br /&gt;
    R7        2.04858   0.00231  -0.00093   0.00493   0.00400   2.05258&lt;br /&gt;
    R8        2.94527  -0.00413   0.00263  -0.00844  -0.00581   2.93946&lt;br /&gt;
    R9        2.04873   0.00169  -0.00072   0.00315   0.00243   2.05116&lt;br /&gt;
   R10        2.04416   0.00152  -0.00088   0.00253   0.00165   2.04581&lt;br /&gt;
   R11        2.83698   0.00519  -0.00211   0.01031   0.00820   2.84518&lt;br /&gt;
   R12        2.03262   0.00107  -0.00045   0.00199   0.00153   2.03415&lt;br /&gt;
   R13        2.49554  -0.00483   0.00106  -0.00648  -0.00542   2.49012&lt;br /&gt;
   R14        2.02904  -0.00031   0.00008  -0.00057  -0.00049   2.02854&lt;br /&gt;
   R15        2.02820   0.00099  -0.00046   0.00147   0.00101   2.02921&lt;br /&gt;
    A1        2.02867   0.00011   0.00039   0.00097   0.00136   2.03003&lt;br /&gt;
    A2        2.12746  -0.00080   0.00039  -0.00245  -0.00206   2.12540&lt;br /&gt;
    A3        2.12704   0.00069  -0.00078   0.00149   0.00070   2.12774&lt;br /&gt;
    A4        2.08276   0.00193  -0.00131   0.01018   0.00871   2.09147&lt;br /&gt;
    A5        2.17938  -0.00155   0.00070  -0.00390  -0.00336   2.17601&lt;br /&gt;
    A6        2.02068  -0.00037   0.00057  -0.00540  -0.00499   2.01569&lt;br /&gt;
    A7        1.91369   0.00026   0.00019   0.00262   0.00282   1.91651&lt;br /&gt;
    A8        1.89553   0.00275  -0.00236   0.00699   0.00452   1.90005&lt;br /&gt;
    A9        1.97471  -0.00335   0.00126  -0.01152  -0.01029   1.96441&lt;br /&gt;
   A10        1.86903  -0.00011  -0.00015   0.00749   0.00735   1.87638&lt;br /&gt;
   A11        1.89985   0.00195  -0.00029   0.00744   0.00719   1.90703&lt;br /&gt;
   A12        1.90813  -0.00135   0.00128  -0.01210  -0.01083   1.89730&lt;br /&gt;
   A13        1.90197  -0.00244   0.00172  -0.01066  -0.00897   1.89301&lt;br /&gt;
   A14        1.92474  -0.00276   0.00183  -0.01386  -0.01205   1.91269&lt;br /&gt;
   A15        1.93590   0.00464  -0.00309   0.01274   0.00968   1.94558&lt;br /&gt;
   A16        1.86897   0.00179  -0.00127   0.01091   0.00958   1.87855&lt;br /&gt;
   A17        1.90404  -0.00065   0.00038   0.00047   0.00088   1.90492&lt;br /&gt;
   A18        1.92672  -0.00071   0.00051   0.00025   0.00080   1.92752&lt;br /&gt;
   A19        2.01566  -0.00038   0.00065  -0.00127  -0.00066   2.01500&lt;br /&gt;
   A20        2.17990   0.00076  -0.00036   0.00090   0.00050   2.18040&lt;br /&gt;
   A21        2.08760  -0.00038  -0.00030   0.00050   0.00016   2.08776&lt;br /&gt;
   A22        2.12893  -0.00041   0.00019  -0.00232  -0.00217   2.12676&lt;br /&gt;
   A23        2.12171   0.00045  -0.00086   0.00172   0.00083   2.12253&lt;br /&gt;
   A24        2.03215   0.00000   0.00059   0.00104   0.00159   2.03374&lt;br /&gt;
    D1        0.00078  -0.00017   0.00030  -0.01622  -0.01599  -0.01522&lt;br /&gt;
    D2        3.11202   0.00035  -0.00152   0.02037   0.01893   3.13096&lt;br /&gt;
    D3        3.13590   0.00002  -0.00046  -0.01454  -0.01508   3.12082&lt;br /&gt;
    D4       -0.03605   0.00053  -0.00228   0.02205   0.01985  -0.01620&lt;br /&gt;
    D5        0.28089  -0.00039  -0.04531  -0.15748  -0.20272   0.07817&lt;br /&gt;
    D6       -1.75598  -0.00197  -0.04389  -0.17189  -0.21575  -1.97173&lt;br /&gt;
    D7        2.40526   0.00001  -0.04468  -0.15390  -0.19851   2.20674&lt;br /&gt;
    D8       -2.89008   0.00015  -0.04709  -0.12181  -0.16894  -3.05902&lt;br /&gt;
    D9        1.35623  -0.00143  -0.04567  -0.13623  -0.18197   1.17426&lt;br /&gt;
   D10       -0.76572   0.00055  -0.04646  -0.11823  -0.16473  -0.93045&lt;br /&gt;
   D11       -3.01987   0.00079   0.00080   0.01129   0.01210  -3.00777&lt;br /&gt;
   D12       -0.97306  -0.00008   0.00131   0.01020   0.01158  -0.96148&lt;br /&gt;
   D13        1.16691   0.00028   0.00113   0.00966   0.01082   1.17773&lt;br /&gt;
   D14       -0.88775   0.00026   0.00168   0.01226   0.01391  -0.87384&lt;br /&gt;
   D15        1.15906  -0.00061   0.00219   0.01117   0.01339   1.17245&lt;br /&gt;
   D16       -2.98416  -0.00024   0.00201   0.01062   0.01263  -2.97152&lt;br /&gt;
   D17        1.14847   0.00048   0.00206   0.01868   0.02066   1.16913&lt;br /&gt;
   D18       -3.08791  -0.00039   0.00257   0.01758   0.02014  -3.06777&lt;br /&gt;
   D19       -0.94794  -0.00002   0.00238   0.01704   0.01938  -0.92856&lt;br /&gt;
   D20        1.11936  -0.00031  -0.00193  -0.00795  -0.00987   1.10948&lt;br /&gt;
   D21       -2.03035   0.00024  -0.00358   0.01076   0.00718  -2.02317&lt;br /&gt;
   D22       -0.97582   0.00025  -0.00238  -0.00297  -0.00535  -0.98118&lt;br /&gt;
   D23        2.15766   0.00080  -0.00403   0.01573   0.01170   2.16936&lt;br /&gt;
   D24       -3.02501  -0.00113  -0.00137  -0.01666  -0.01802  -3.04303&lt;br /&gt;
   D25        0.10847  -0.00058  -0.00301   0.00204  -0.00097   0.10750&lt;br /&gt;
   D26       -3.12758  -0.00102   0.00383  -0.01618  -0.01235  -3.13993&lt;br /&gt;
   D27       -0.01721   0.00048  -0.00159   0.00133  -0.00026  -0.01747&lt;br /&gt;
   D28        0.00559  -0.00045   0.00213   0.00323   0.00536   0.01095&lt;br /&gt;
   D29        3.11596   0.00105  -0.00330   0.02074   0.01745   3.13341&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.005191     0.000450     NO &lt;br /&gt;
 RMS     Force            0.001649     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.361429     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.094654     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-6.594327D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.209334   -0.359284    0.028373&lt;br /&gt;
    2          1             0       -0.197162   -0.293793    1.099908&lt;br /&gt;
    3          1             0        0.498145   -1.034529   -0.415356&lt;br /&gt;
    4          6             0       -1.050071    0.345451   -0.699911&lt;br /&gt;
    5          1             0       -1.756542    0.996429   -0.220219&lt;br /&gt;
    6          6             0       -1.115135    0.314305   -2.206404&lt;br /&gt;
    7          1             0       -0.425038   -0.428711   -2.588477&lt;br /&gt;
    8          1             0       -0.801458    1.280262   -2.591526&lt;br /&gt;
    9          6             0       -2.545160    0.006725   -2.735549&lt;br /&gt;
   10          1             0       -2.490914   -0.134676   -3.810357&lt;br /&gt;
   11          1             0       -2.901923   -0.918278   -2.300686&lt;br /&gt;
   12          6             0       -3.498634    1.132003   -2.433086&lt;br /&gt;
   13          1             0       -3.271304    2.071087   -2.907572&lt;br /&gt;
   14          6             0       -4.549287    1.038899   -1.643257&lt;br /&gt;
   15          1             0       -5.198453    1.874628   -1.463102&lt;br /&gt;
   16          1             0       -4.809927    0.116238   -1.159687&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073604   0.000000&lt;br /&gt;
     3  H    1.073955   1.824327   0.000000&lt;br /&gt;
     4  C    1.316772   2.091754   2.093392   0.000000&lt;br /&gt;
     5  H    2.072103   2.416418   3.040803   1.073768   0.000000&lt;br /&gt;
     6  C    2.503682   3.484846   2.762223   1.508218   2.195820&lt;br /&gt;
     7  H    2.626643   3.697880   2.437568   2.134637   3.067992&lt;br /&gt;
     8  H    3.146838   4.058264   3.432628   2.124590   2.572128&lt;br /&gt;
     9  C    3.637212   4.507121   3.966007   2.548303   2.815727&lt;br /&gt;
    10  H    4.471231   5.421929   4.611967   3.461419   3.835074&lt;br /&gt;
    11  H    3.603751   4.389733   3.889530   2.754786   3.050630&lt;br /&gt;
    12  C    4.370608   5.041296   4.973866   3.101293   2.819583&lt;br /&gt;
    13  H    4.888982   5.576998   5.483133   3.575677   3.266690&lt;br /&gt;
    14  C    4.856383   5.314322   5.593158   3.689890   3.134688&lt;br /&gt;
    15  H    5.666230   6.023619   6.481682   4.486637   3.763342&lt;br /&gt;
    16  H    4.775255   5.152814   5.482146   3.794792   3.313683&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083645   0.000000&lt;br /&gt;
     8  H    1.086179   1.749940   0.000000&lt;br /&gt;
     9  C    1.555498   2.169366   2.164055   0.000000&lt;br /&gt;
    10  H    2.160328   2.418117   2.518305   1.085425   0.000000&lt;br /&gt;
    11  H    2.172731   2.541153   3.054524   1.082596   1.749876&lt;br /&gt;
    12  C    2.530036   3.450647   2.705890   1.505606   2.125288&lt;br /&gt;
    13  H    2.868273   3.801584   2.612552   2.195102   2.507871&lt;br /&gt;
    14  C    3.554655   4.478476   3.873460   2.504998   3.210997&lt;br /&gt;
    15  H    4.434026   5.418240   4.578228   3.485419   4.108244&lt;br /&gt;
    16  H    3.845300   4.643884   4.412815   2.761250   3.530839&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.139450   0.000000&lt;br /&gt;
    13  H    3.072631   1.076427   0.000000&lt;br /&gt;
    14  C    2.641319   1.317714   2.072956   0.000000&lt;br /&gt;
    15  H    3.711593   2.093262   2.416400   1.073459   0.000000&lt;br /&gt;
    16  H    2.452057   2.091127   3.040378   1.073814   1.826185&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.572629   -0.660646    0.158576&lt;br /&gt;
    2          1             0       -2.998459   -1.645373    0.118484&lt;br /&gt;
    3          1             0       -3.195700    0.111030    0.570494&lt;br /&gt;
    4          6             0       -1.351414   -0.415347   -0.268450&lt;br /&gt;
    5          1             0       -0.750413   -1.215974   -0.656744&lt;br /&gt;
    6          6             0       -0.694188    0.942076   -0.255142&lt;br /&gt;
    7          1             0       -1.345592    1.660733    0.228069&lt;br /&gt;
    8          1             0       -0.547447    1.271290   -1.279774&lt;br /&gt;
    9          6             0        0.683263    0.930926    0.467407&lt;br /&gt;
   10          1             0        1.031651    1.954832    0.558997&lt;br /&gt;
   11          1             0        0.565238    0.533970    1.467663&lt;br /&gt;
   12          6             0        1.701456    0.129668   -0.299481&lt;br /&gt;
   13          1             0        1.952303    0.511918   -1.273983&lt;br /&gt;
   14          6             0        2.273466   -0.975600    0.133601&lt;br /&gt;
   15          1             0        2.996190   -1.507748   -0.455300&lt;br /&gt;
   16          1             0        2.052515   -1.381137    1.103032&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.1070380      1.9145587      1.6445446&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.5428163746 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692521151     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.2430D-08             -V/T =  2.0017&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.001226833   -0.000080529   -0.000403912&lt;br /&gt;
    2          1          -0.000204677   -0.000194289   -0.000110576&lt;br /&gt;
    3          1           0.000941744    0.000046217   -0.000157962&lt;br /&gt;
    4          6          -0.000208448   -0.001601044    0.000567910&lt;br /&gt;
    5          1          -0.000242562    0.001213205    0.000329045&lt;br /&gt;
    6          6          -0.000195341   -0.000932296   -0.000196612&lt;br /&gt;
    7          1           0.000605565   -0.000241747   -0.000042049&lt;br /&gt;
    8          1          -0.000282069    0.000561098   -0.001491029&lt;br /&gt;
    9          6           0.002301148    0.000573543    0.000876291&lt;br /&gt;
   10          1           0.000432587    0.000107143   -0.000826595&lt;br /&gt;
   11          1           0.000182733   -0.000484196    0.001022899&lt;br /&gt;
   12          6          -0.003110340    0.000578767    0.001727585&lt;br /&gt;
   13          1           0.000319135    0.000437622   -0.000204805&lt;br /&gt;
   14          6           0.000592379    0.000189077   -0.002241721&lt;br /&gt;
   15          1           0.000240686    0.000007563    0.000434213&lt;br /&gt;
   16          1          -0.000145708   -0.000180134    0.000717319&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.003110340 RMS     0.000905806&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.002191212 RMS     0.000675554&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  11 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 10 11&lt;br /&gt;
 Trust test= 1.11D+00 RLast= 4.71D-01 DXMaxT set to 7.07D-01&lt;br /&gt;
     Eigenvalues ---    0.00124   0.00219   0.00240   0.01336   0.01891&lt;br /&gt;
     Eigenvalues ---    0.02680   0.02690   0.02729   0.03957   0.04044&lt;br /&gt;
     Eigenvalues ---    0.04248   0.05207   0.05374   0.09081   0.09745&lt;br /&gt;
     Eigenvalues ---    0.12683   0.13063   0.14158   0.15573   0.15983&lt;br /&gt;
     Eigenvalues ---    0.16004   0.16114   0.16144   0.20486   0.21467&lt;br /&gt;
     Eigenvalues ---    0.22054   0.23007   0.27977   0.29429   0.30662&lt;br /&gt;
     Eigenvalues ---    0.36356   0.37169   0.37217   0.37228   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37231   0.37231   0.37252   0.37341   0.37447&lt;br /&gt;
     Eigenvalues ---    0.54096   0.596841000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.47791172D-04.&lt;br /&gt;
 Quartic linear search produced a step of  0.41458.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.03892064 RMS(Int)=  0.00077224&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00125764 RMS(Int)=  0.00003003&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000076 RMS(Int)=  0.00003003&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02882  -0.00012  -0.00026  -0.00001  -0.00027   2.02855&lt;br /&gt;
    R2        2.02948   0.00066   0.00069   0.00102   0.00172   2.03120&lt;br /&gt;
    R3        2.48834  -0.00056  -0.00097  -0.00006  -0.00103   2.48731&lt;br /&gt;
    R4        2.02913   0.00104   0.00161   0.00147   0.00308   2.03221&lt;br /&gt;
    R5        2.85012   0.00017  -0.00301   0.00322   0.00021   2.85033&lt;br /&gt;
    R6        2.04779   0.00057   0.00053   0.00070   0.00123   2.04902&lt;br /&gt;
    R7        2.05258   0.00095   0.00166   0.00150   0.00316   2.05574&lt;br /&gt;
    R8        2.93946  -0.00150  -0.00241  -0.00257  -0.00498   2.93449&lt;br /&gt;
    R9        2.05116   0.00083   0.00101   0.00166   0.00267   2.05382&lt;br /&gt;
   R10        2.04581   0.00076   0.00068   0.00157   0.00225   2.04806&lt;br /&gt;
   R11        2.84518   0.00219   0.00340   0.00442   0.00782   2.85300&lt;br /&gt;
   R12        2.03415   0.00054   0.00064   0.00105   0.00168   2.03583&lt;br /&gt;
   R13        2.49012  -0.00120  -0.00225  -0.00006  -0.00230   2.48781&lt;br /&gt;
   R14        2.02854  -0.00007  -0.00020   0.00006  -0.00015   2.02840&lt;br /&gt;
   R15        2.02921   0.00051   0.00042   0.00095   0.00137   2.03059&lt;br /&gt;
    A1        2.03003  -0.00010   0.00056  -0.00093  -0.00040   2.02964&lt;br /&gt;
    A2        2.12540  -0.00015  -0.00085   0.00079  -0.00009   2.12531&lt;br /&gt;
    A3        2.12774   0.00024   0.00029   0.00020   0.00046   2.12820&lt;br /&gt;
    A4        2.09147   0.00033   0.00361  -0.00075   0.00279   2.09426&lt;br /&gt;
    A5        2.17601  -0.00043  -0.00139  -0.00001  -0.00147   2.17454&lt;br /&gt;
    A6        2.01569   0.00009  -0.00207   0.00081  -0.00132   2.01437&lt;br /&gt;
    A7        1.91651   0.00028   0.00117  -0.00264  -0.00152   1.91499&lt;br /&gt;
    A8        1.90005   0.00170   0.00187   0.01348   0.01531   1.91536&lt;br /&gt;
    A9        1.96441  -0.00216  -0.00427  -0.00819  -0.01248   1.95193&lt;br /&gt;
   A10        1.87638  -0.00035   0.00305  -0.00257   0.00046   1.87684&lt;br /&gt;
   A11        1.90703   0.00088   0.00298  -0.00203   0.00093   1.90796&lt;br /&gt;
   A12        1.89730  -0.00027  -0.00449   0.00228  -0.00217   1.89513&lt;br /&gt;
   A13        1.89301  -0.00070  -0.00372   0.00228  -0.00145   1.89155&lt;br /&gt;
   A14        1.91269  -0.00094  -0.00500  -0.00253  -0.00753   1.90516&lt;br /&gt;
   A15        1.94558   0.00173   0.00401   0.00415   0.00817   1.95376&lt;br /&gt;
   A16        1.87855   0.00059   0.00397   0.00102   0.00496   1.88351&lt;br /&gt;
   A17        1.90492  -0.00031   0.00037  -0.00092  -0.00055   1.90437&lt;br /&gt;
   A18        1.92752  -0.00040   0.00033  -0.00397  -0.00361   1.92391&lt;br /&gt;
   A19        2.01500  -0.00042  -0.00027  -0.00245  -0.00275   2.01225&lt;br /&gt;
   A20        2.18040   0.00050   0.00021   0.00142   0.00161   2.18201&lt;br /&gt;
   A21        2.08776  -0.00008   0.00007   0.00111   0.00115   2.08891&lt;br /&gt;
   A22        2.12676  -0.00006  -0.00090   0.00028  -0.00069   2.12607&lt;br /&gt;
   A23        2.12253   0.00038   0.00034   0.00255   0.00282   2.12535&lt;br /&gt;
   A24        2.03374  -0.00031   0.00066  -0.00257  -0.00198   2.03176&lt;br /&gt;
    D1       -0.01522   0.00023  -0.00663   0.01889   0.01222  -0.00299&lt;br /&gt;
    D2        3.13096   0.00024   0.00785   0.00589   0.01377  -3.13846&lt;br /&gt;
    D3        3.12082   0.00058  -0.00625   0.03416   0.02788  -3.13449&lt;br /&gt;
    D4       -0.01620   0.00058   0.00823   0.02117   0.02943   0.01323&lt;br /&gt;
    D5        0.07817   0.00012  -0.08404   0.01472  -0.06929   0.00888&lt;br /&gt;
    D6       -1.97173  -0.00060  -0.08945   0.01148  -0.07799  -2.04973&lt;br /&gt;
    D7        2.20674  -0.00004  -0.08230   0.00464  -0.07760   2.12915&lt;br /&gt;
    D8       -3.05902   0.00013  -0.07004   0.00224  -0.06782  -3.12684&lt;br /&gt;
    D9        1.17426  -0.00059  -0.07544  -0.00101  -0.07652   1.09774&lt;br /&gt;
   D10       -0.93045  -0.00003  -0.06829  -0.00785  -0.07612  -1.00657&lt;br /&gt;
   D11       -3.00777   0.00051   0.00502   0.00294   0.00796  -2.99980&lt;br /&gt;
   D12       -0.96148   0.00028   0.00480   0.00405   0.00888  -0.95260&lt;br /&gt;
   D13        1.17773   0.00028   0.00449   0.00005   0.00455   1.18228&lt;br /&gt;
   D14       -0.87384   0.00003   0.00577  -0.00741  -0.00164  -0.87548&lt;br /&gt;
   D15        1.17245  -0.00020   0.00555  -0.00630  -0.00072   1.17173&lt;br /&gt;
   D16       -2.97152  -0.00020   0.00524  -0.01030  -0.00506  -2.97658&lt;br /&gt;
   D17        1.16913  -0.00006   0.00857  -0.01033  -0.00180   1.16733&lt;br /&gt;
   D18       -3.06777  -0.00028   0.00835  -0.00922  -0.00088  -3.06865&lt;br /&gt;
   D19       -0.92856  -0.00028   0.00804  -0.01323  -0.00522  -0.93377&lt;br /&gt;
   D20        1.10948   0.00002  -0.00409  -0.02608  -0.03017   1.07931&lt;br /&gt;
   D21       -2.02317   0.00005   0.00298  -0.03613  -0.03315  -2.05632&lt;br /&gt;
   D22       -0.98118   0.00001  -0.00222  -0.03091  -0.03313  -1.01431&lt;br /&gt;
   D23        2.16936   0.00004   0.00485  -0.04096  -0.03611   2.13324&lt;br /&gt;
   D24       -3.04303  -0.00028  -0.00747  -0.02924  -0.03671  -3.07974&lt;br /&gt;
   D25        0.10750  -0.00025  -0.00040  -0.03929  -0.03969   0.06782&lt;br /&gt;
   D26       -3.13993  -0.00043  -0.00512  -0.00254  -0.00766   3.13559&lt;br /&gt;
   D27       -0.01747   0.00036  -0.00011   0.01426   0.01415  -0.00332&lt;br /&gt;
   D28        0.01095  -0.00040   0.00222  -0.01297  -0.01074   0.00020&lt;br /&gt;
   D29        3.13341   0.00039   0.00723   0.00383   0.01107  -3.13871&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.002191     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000676     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.149942     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.039000     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.529578D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.238116   -0.380634    0.022146&lt;br /&gt;
    2          1             0       -0.227892   -0.316679    1.093650&lt;br /&gt;
    3          1             0        0.440602   -1.087748   -0.419059&lt;br /&gt;
    4          6             0       -1.030512    0.373745   -0.709615&lt;br /&gt;
    5          1             0       -1.692959    1.075775   -0.235486&lt;br /&gt;
    6          6             0       -1.099765    0.334050   -2.215830&lt;br /&gt;
    7          1             0       -0.408932   -0.411043   -2.594354&lt;br /&gt;
    8          1             0       -0.798834    1.296889   -2.623014&lt;br /&gt;
    9          6             0       -2.532251    0.009506   -2.719853&lt;br /&gt;
   10          1             0       -2.489977   -0.147847   -3.794407&lt;br /&gt;
   11          1             0       -2.870431   -0.912255   -2.260954&lt;br /&gt;
   12          6             0       -3.501991    1.127571   -2.421763&lt;br /&gt;
   13          1             0       -3.275097    2.070799   -2.890218&lt;br /&gt;
   14          6             0       -4.562129    1.022020   -1.648378&lt;br /&gt;
   15          1             0       -5.215495    1.854146   -1.467186&lt;br /&gt;
   16          1             0       -4.818417    0.098462   -1.162587&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073461   0.000000&lt;br /&gt;
     3  H    1.074863   1.824752   0.000000&lt;br /&gt;
     4  C    1.316227   2.091088   2.093935   0.000000&lt;br /&gt;
     5  H    2.074625   2.419081   3.044111   1.075398   0.000000&lt;br /&gt;
     6  C    2.502348   3.483715   2.760910   1.508329   2.196315&lt;br /&gt;
     7  H    2.622246   3.693651   2.431367   2.134127   3.069790&lt;br /&gt;
     8  H    3.182037   4.091842   3.475646   2.137046   2.559032&lt;br /&gt;
     9  C    3.596362   4.467581   3.916054   2.535537   2.830799&lt;br /&gt;
    10  H    4.437470   5.388751   4.567787   3.452251   3.846870&lt;br /&gt;
    11  H    3.524805   4.311740   3.792930   2.728691   3.072658&lt;br /&gt;
    12  C    4.347441   5.016344   4.945958   3.099663   2.838149&lt;br /&gt;
    13  H    4.869768   5.554882   5.467126   3.559942   3.246666&lt;br /&gt;
    14  C    4.843054   5.300608   5.566836   3.711315   3.198639&lt;br /&gt;
    15  H    5.655674   6.012200   6.461017   4.503286   3.811983&lt;br /&gt;
    16  H    4.755237   5.131849   5.442169   3.824813   3.403402&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084294   0.000000&lt;br /&gt;
     8  H    1.087850   1.752107   0.000000&lt;br /&gt;
     9  C    1.552864   2.168201   2.161357   0.000000&lt;br /&gt;
    10  H    2.157967   2.416640   2.513839   1.086836   0.000000&lt;br /&gt;
    11  H    2.165773   2.534038   3.050069   1.083789   1.755148&lt;br /&gt;
    12  C    2.538262   3.458921   2.715921   1.509742   2.129557&lt;br /&gt;
    13  H    2.864117   3.802891   2.608105   2.197674   2.521182&lt;br /&gt;
    14  C    3.575371   4.494173   3.897160   2.508715   3.204348&lt;br /&gt;
    15  H    4.450887   5.431818   4.599279   3.488792   4.105165&lt;br /&gt;
    16  H    3.872105   4.664023   4.441410   2.767589   3.522610&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141405   0.000000&lt;br /&gt;
    13  H    3.075441   1.077317   0.000000&lt;br /&gt;
    14  C    2.641687   1.316495   2.073296   0.000000&lt;br /&gt;
    15  H    3.712461   2.091704   2.416010   1.073383   0.000000&lt;br /&gt;
    16  H    2.454100   2.092263   3.042476   1.074540   1.825617&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.547055   -0.680712    0.178242&lt;br /&gt;
    2          1             0       -2.966109   -1.667413    0.122273&lt;br /&gt;
    3          1             0       -3.158646    0.070538    0.643978&lt;br /&gt;
    4          6             0       -1.354914   -0.405521   -0.307065&lt;br /&gt;
    5          1             0       -0.772095   -1.180156   -0.772620&lt;br /&gt;
    6          6             0       -0.704070    0.954336   -0.259672&lt;br /&gt;
    7          1             0       -1.361686    1.657529    0.239082&lt;br /&gt;
    8          1             0       -0.540977    1.319117   -1.271478&lt;br /&gt;
    9          6             0        0.661539    0.915705    0.478573&lt;br /&gt;
   10          1             0        1.010275    1.936941    0.607696&lt;br /&gt;
   11          1             0        0.521658    0.484190    1.462863&lt;br /&gt;
   12          6             0        1.697520    0.133305   -0.292085&lt;br /&gt;
   13          1             0        1.944472    0.528744   -1.263298&lt;br /&gt;
   14          6             0        2.287538   -0.963508    0.134574&lt;br /&gt;
   15          1             0        3.014981   -1.482660   -0.459949&lt;br /&gt;
   16          1             0        2.064778   -1.388464    1.096045&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.0545646      1.9193191      1.6527026&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.5588739315 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692649182     A.U. after   11 cycles&lt;br /&gt;
             Convg  =    0.4359D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000348010    0.000335467   -0.000075269&lt;br /&gt;
    2          1          -0.000075429   -0.000119054    0.000008962&lt;br /&gt;
    3          1          -0.000335586   -0.000309208    0.000085950&lt;br /&gt;
    4          6           0.000145824    0.000997111   -0.000120177&lt;br /&gt;
    5          1          -0.000152040   -0.000544117    0.000176988&lt;br /&gt;
    6          6           0.000117449    0.000273752   -0.000170780&lt;br /&gt;
    7          1           0.000034222    0.000000002   -0.000099732&lt;br /&gt;
    8          1          -0.000025049   -0.000353747    0.000284548&lt;br /&gt;
    9          6          -0.000192177   -0.000174472    0.000038111&lt;br /&gt;
   10          1          -0.000195291    0.000008044    0.000084260&lt;br /&gt;
   11          1          -0.000028441    0.000013525   -0.000194525&lt;br /&gt;
   12          6           0.000313326   -0.000152712   -0.000094802&lt;br /&gt;
   13          1          -0.000056077   -0.000042415   -0.000023875&lt;br /&gt;
   14          6           0.000393311    0.000092863    0.000345478&lt;br /&gt;
   15          1          -0.000191980   -0.000066920   -0.000124062&lt;br /&gt;
   16          1          -0.000100071    0.000041880   -0.000121072&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000997111 RMS     0.000243492&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000537147 RMS     0.000154483&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  12 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 11 12&lt;br /&gt;
 Trust test= 8.37D-01 RLast= 2.10D-01 DXMaxT set to 7.07D-01&lt;br /&gt;
     Eigenvalues ---    0.00121   0.00221   0.00241   0.01348   0.01902&lt;br /&gt;
     Eigenvalues ---    0.02635   0.02697   0.03041   0.04022   0.04141&lt;br /&gt;
     Eigenvalues ---    0.04321   0.05218   0.05384   0.08986   0.09812&lt;br /&gt;
     Eigenvalues ---    0.12737   0.13027   0.14202   0.15711   0.15971&lt;br /&gt;
     Eigenvalues ---    0.16003   0.16103   0.16153   0.20368   0.21414&lt;br /&gt;
     Eigenvalues ---    0.21930   0.23115   0.27960   0.29585   0.30686&lt;br /&gt;
     Eigenvalues ---    0.36631   0.37182   0.37215   0.37223   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37231   0.37233   0.37257   0.37371   0.37453&lt;br /&gt;
     Eigenvalues ---    0.54074   0.596411000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-3.03107214D-05.&lt;br /&gt;
 Quartic linear search produced a step of -0.10639.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.01978637 RMS(Int)=  0.00016143&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00024276 RMS(Int)=  0.00001127&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000002 RMS(Int)=  0.00001127&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02855   0.00000   0.00003  -0.00002   0.00001   2.02855&lt;br /&gt;
    R2        2.03120  -0.00004  -0.00018   0.00011  -0.00007   2.03112&lt;br /&gt;
    R3        2.48731   0.00003   0.00011  -0.00016  -0.00005   2.48726&lt;br /&gt;
    R4        2.03221  -0.00018  -0.00033  -0.00011  -0.00044   2.03176&lt;br /&gt;
    R5        2.85033   0.00008  -0.00002  -0.00005  -0.00007   2.85026&lt;br /&gt;
    R6        2.04902   0.00006  -0.00013   0.00035   0.00021   2.04923&lt;br /&gt;
    R7        2.05574  -0.00043  -0.00034  -0.00067  -0.00101   2.05473&lt;br /&gt;
    R8        2.93449   0.00014   0.00053   0.00053   0.00106   2.93554&lt;br /&gt;
    R9        2.05382  -0.00009  -0.00028   0.00010  -0.00018   2.05364&lt;br /&gt;
   R10        2.04806  -0.00008  -0.00024   0.00001  -0.00023   2.04783&lt;br /&gt;
   R11        2.85300  -0.00033  -0.00083  -0.00012  -0.00095   2.85205&lt;br /&gt;
   R12        2.03583  -0.00004  -0.00018   0.00013  -0.00005   2.03578&lt;br /&gt;
   R13        2.48781  -0.00003   0.00025  -0.00039  -0.00015   2.48767&lt;br /&gt;
   R14        2.02840   0.00004   0.00002   0.00009   0.00010   2.02850&lt;br /&gt;
   R15        2.03059  -0.00007  -0.00015   0.00002  -0.00013   2.03046&lt;br /&gt;
    A1        2.02964  -0.00006   0.00004  -0.00034  -0.00032   2.02931&lt;br /&gt;
    A2        2.12531   0.00001   0.00001   0.00001  -0.00001   2.12530&lt;br /&gt;
    A3        2.12820   0.00005  -0.00005   0.00044   0.00036   2.12856&lt;br /&gt;
    A4        2.09426  -0.00019  -0.00030  -0.00141  -0.00175   2.09251&lt;br /&gt;
    A5        2.17454  -0.00015   0.00016  -0.00080  -0.00068   2.17386&lt;br /&gt;
    A6        2.01437   0.00034   0.00014   0.00212   0.00221   2.01658&lt;br /&gt;
    A7        1.91499   0.00014   0.00016   0.00041   0.00058   1.91557&lt;br /&gt;
    A8        1.91536  -0.00011  -0.00163   0.00185   0.00023   1.91558&lt;br /&gt;
    A9        1.95193  -0.00015   0.00133  -0.00281  -0.00148   1.95045&lt;br /&gt;
   A10        1.87684  -0.00004  -0.00005  -0.00036  -0.00041   1.87643&lt;br /&gt;
   A11        1.90796  -0.00003  -0.00010   0.00039   0.00030   1.90826&lt;br /&gt;
   A12        1.89513   0.00019   0.00023   0.00060   0.00083   1.89596&lt;br /&gt;
   A13        1.89155   0.00027   0.00015   0.00146   0.00161   1.89317&lt;br /&gt;
   A14        1.90516   0.00014   0.00080  -0.00037   0.00043   1.90558&lt;br /&gt;
   A15        1.95376  -0.00038  -0.00087  -0.00051  -0.00138   1.95238&lt;br /&gt;
   A16        1.88351  -0.00013  -0.00053  -0.00012  -0.00064   1.88286&lt;br /&gt;
   A17        1.90437  -0.00002   0.00006  -0.00062  -0.00056   1.90380&lt;br /&gt;
   A18        1.92391   0.00013   0.00038   0.00020   0.00058   1.92449&lt;br /&gt;
   A19        2.01225   0.00002   0.00029  -0.00033  -0.00004   2.01222&lt;br /&gt;
   A20        2.18201   0.00000  -0.00017   0.00059   0.00042   2.18243&lt;br /&gt;
   A21        2.08891  -0.00002  -0.00012  -0.00026  -0.00038   2.08853&lt;br /&gt;
   A22        2.12607   0.00007   0.00007   0.00037   0.00044   2.12652&lt;br /&gt;
   A23        2.12535   0.00002  -0.00030   0.00033   0.00004   2.12538&lt;br /&gt;
   A24        2.03176  -0.00008   0.00021  -0.00070  -0.00048   2.03128&lt;br /&gt;
    D1       -0.00299  -0.00002  -0.00130  -0.00325  -0.00454  -0.00753&lt;br /&gt;
    D2       -3.13846   0.00026  -0.00147   0.01493   0.01345  -3.12500&lt;br /&gt;
    D3       -3.13449  -0.00054  -0.00297  -0.01659  -0.01954   3.12915&lt;br /&gt;
    D4        0.01323  -0.00025  -0.00313   0.00159  -0.00155   0.01168&lt;br /&gt;
    D5        0.00888  -0.00016   0.00737  -0.04062  -0.03325  -0.02438&lt;br /&gt;
    D6       -2.04973  -0.00013   0.00830  -0.04153  -0.03323  -2.08296&lt;br /&gt;
    D7        2.12915  -0.00020   0.00825  -0.04171  -0.03346   2.09569&lt;br /&gt;
    D8       -3.12684   0.00011   0.00721  -0.02318  -0.01595   3.14039&lt;br /&gt;
    D9        1.09774   0.00015   0.00814  -0.02408  -0.01593   1.08181&lt;br /&gt;
   D10       -1.00657   0.00007   0.00810  -0.02426  -0.01616  -1.02273&lt;br /&gt;
   D11       -2.99980  -0.00011  -0.00085  -0.00074  -0.00159  -3.00139&lt;br /&gt;
   D12       -0.95260  -0.00004  -0.00095  -0.00026  -0.00121  -0.95380&lt;br /&gt;
   D13        1.18228  -0.00003  -0.00048  -0.00061  -0.00109   1.18119&lt;br /&gt;
   D14       -0.87548  -0.00005   0.00017  -0.00180  -0.00163  -0.87711&lt;br /&gt;
   D15        1.17173   0.00002   0.00008  -0.00133  -0.00125   1.17048&lt;br /&gt;
   D16       -2.97658   0.00003   0.00054  -0.00167  -0.00114  -2.97772&lt;br /&gt;
   D17        1.16733  -0.00001   0.00019  -0.00167  -0.00148   1.16585&lt;br /&gt;
   D18       -3.06865   0.00006   0.00009  -0.00120  -0.00110  -3.06975&lt;br /&gt;
   D19       -0.93377   0.00007   0.00056  -0.00155  -0.00099  -0.93476&lt;br /&gt;
   D20        1.07931   0.00007   0.00321   0.01434   0.01755   1.09686&lt;br /&gt;
   D21       -2.05632   0.00004   0.00353   0.01304   0.01657  -2.03975&lt;br /&gt;
   D22       -1.01431  -0.00001   0.00352   0.01325   0.01678  -0.99753&lt;br /&gt;
   D23        2.13324  -0.00005   0.00384   0.01196   0.01580   2.14904&lt;br /&gt;
   D24       -3.07974   0.00008   0.00391   0.01366   0.01756  -3.06218&lt;br /&gt;
   D25        0.06782   0.00005   0.00422   0.01236   0.01658   0.08440&lt;br /&gt;
   D26        3.13559   0.00021   0.00082   0.00191   0.00273   3.13832&lt;br /&gt;
   D27       -0.00332  -0.00010  -0.00151   0.00036  -0.00114  -0.00446&lt;br /&gt;
   D28        0.00020   0.00017   0.00114   0.00057   0.00171   0.00191&lt;br /&gt;
   D29       -3.13871  -0.00014  -0.00118  -0.00099  -0.00216  -3.14087&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000537     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000154     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.071110     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.019841     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.715594D-05&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.255898   -0.384437    0.021103&lt;br /&gt;
    2          1             0       -0.253987   -0.325293    1.092936&lt;br /&gt;
    3          1             0        0.402972   -1.112278   -0.416371&lt;br /&gt;
    4          6             0       -1.026847    0.388418   -0.714228&lt;br /&gt;
    5          1             0       -1.681974    1.097598   -0.241102&lt;br /&gt;
    6          6             0       -1.094911    0.344405   -2.220341&lt;br /&gt;
    7          1             0       -0.399334   -0.397305   -2.597142&lt;br /&gt;
    8          1             0       -0.799867    1.307475   -2.629858&lt;br /&gt;
    9          6             0       -2.526226    0.009137   -2.722391&lt;br /&gt;
   10          1             0       -2.485851   -0.149769   -3.796691&lt;br /&gt;
   11          1             0       -2.858013   -0.913937   -2.261758&lt;br /&gt;
   12          6             0       -3.501319    1.121927   -2.424580&lt;br /&gt;
   13          1             0       -3.289822    2.060945   -2.908388&lt;br /&gt;
   14          6             0       -4.549741    1.017225   -1.635401&lt;br /&gt;
   15          1             0       -5.209347    1.845136   -1.457211&lt;br /&gt;
   16          1             0       -4.792032    0.097513   -1.135485&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073465   0.000000&lt;br /&gt;
     3  H    1.074823   1.824540   0.000000&lt;br /&gt;
     4  C    1.316199   2.091061   2.094084   0.000000&lt;br /&gt;
     5  H    2.073372   2.417316   3.043234   1.075163   0.000000&lt;br /&gt;
     6  C    2.501845   3.483310   2.760414   1.508292   2.197574&lt;br /&gt;
     7  H    2.622203   3.693642   2.431182   2.134596   3.070965&lt;br /&gt;
     8  H    3.191562   4.101598   3.493072   2.136779   2.555058&lt;br /&gt;
     9  C    3.582744   4.453272   3.893007   2.534702   2.838011&lt;br /&gt;
    10  H    4.427563   5.377776   4.549537   3.452523   3.852837&lt;br /&gt;
    11  H    3.501833   4.287356   3.752175   2.728397   3.084217&lt;br /&gt;
    12  C    4.333965   5.001252   4.926262   3.096183   2.842214&lt;br /&gt;
    13  H    4.875091   5.560667   5.469573   3.568297   3.260005&lt;br /&gt;
    14  C    4.811003   5.263048   5.527222   3.695232   3.189767&lt;br /&gt;
    15  H    5.629659   5.980769   6.428667   4.490808   3.805272&lt;br /&gt;
    16  H    4.706005   5.073310   5.382266   3.799829   3.387115&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084408   0.000000&lt;br /&gt;
     8  H    1.087318   1.751506   0.000000&lt;br /&gt;
     9  C    1.553423   2.168998   2.162074   0.000000&lt;br /&gt;
    10  H    2.159584   2.419451   2.515473   1.086739   0.000000&lt;br /&gt;
    11  H    2.166488   2.534659   3.050596   1.083665   1.754559&lt;br /&gt;
    12  C    2.537135   3.458345   2.715587   1.509238   2.128632&lt;br /&gt;
    13  H    2.870114   3.807202   2.616329   2.197178   2.514500&lt;br /&gt;
    14  C    3.568009   4.489066   3.890340   2.508466   3.208222&lt;br /&gt;
    15  H    4.445575   5.428094   4.594311   3.488654   4.107340&lt;br /&gt;
    16  H    3.860903   4.655865   4.431088   2.767663   3.530105&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141284   0.000000&lt;br /&gt;
    13  H    3.074819   1.077291   0.000000&lt;br /&gt;
    14  C    2.642660   1.316417   2.072978   0.000000&lt;br /&gt;
    15  H    3.713293   2.091935   2.416001   1.073437   0.000000&lt;br /&gt;
    16  H    2.456003   2.092160   3.042184   1.074473   1.825334&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.532193   -0.685831    0.183216&lt;br /&gt;
    2          1             0       -2.946117   -1.674742    0.128008&lt;br /&gt;
    3          1             0       -3.133272    0.054493    0.679069&lt;br /&gt;
    4          6             0       -1.351889   -0.399298   -0.323897&lt;br /&gt;
    5          1             0       -0.773457   -1.168610   -0.803012&lt;br /&gt;
    6          6             0       -0.702346    0.960647   -0.263995&lt;br /&gt;
    7          1             0       -1.363589    1.661022    0.234174&lt;br /&gt;
    8          1             0       -0.532381    1.331460   -1.271899&lt;br /&gt;
    9          6             0        0.658140    0.916374    0.484497&lt;br /&gt;
   10          1             0        1.008691    1.935766    0.622175&lt;br /&gt;
   11          1             0        0.510851    0.479857    1.465359&lt;br /&gt;
   12          6             0        1.697251    0.136883   -0.283904&lt;br /&gt;
   13          1             0        1.963384    0.546890   -1.243915&lt;br /&gt;
   14          6             0        2.269952   -0.973107    0.131899&lt;br /&gt;
   15          1             0        3.002790   -1.488198   -0.459622&lt;br /&gt;
   16          1             0        2.029610   -1.411953    1.082763&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      6.9793405      1.9360855      1.6632905&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.7130944728 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692657329     A.U. after   10 cycles&lt;br /&gt;
             Convg  =    0.5006D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000179970   -0.000368939    0.000021816&lt;br /&gt;
    2          1           0.000156993    0.000121149    0.000003797&lt;br /&gt;
    3          1           0.000177369    0.000165934    0.000009069&lt;br /&gt;
    4          6          -0.000525873   -0.000139690    0.000065303&lt;br /&gt;
    5          1           0.000207714    0.000127882   -0.000049371&lt;br /&gt;
    6          6           0.000213812    0.000222963   -0.000187426&lt;br /&gt;
    7          1          -0.000065682   -0.000029510    0.000015571&lt;br /&gt;
    8          1          -0.000023193   -0.000093193    0.000057837&lt;br /&gt;
    9          6          -0.000024733   -0.000073522    0.000112229&lt;br /&gt;
   10          1           0.000005496    0.000019916    0.000043754&lt;br /&gt;
   11          1           0.000048215    0.000007355   -0.000013033&lt;br /&gt;
   12          6           0.000006040    0.000075317   -0.000219438&lt;br /&gt;
   13          1           0.000021590   -0.000004653    0.000046842&lt;br /&gt;
   14          6           0.000072275   -0.000006161    0.000171942&lt;br /&gt;
   15          1          -0.000036675   -0.000013961   -0.000027206&lt;br /&gt;
   16          1          -0.000053380   -0.000010886   -0.000051685&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000525873 RMS     0.000137006&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000299641 RMS     0.000069237&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  13 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 11 12 13&lt;br /&gt;
 Trust test= 4.75D-01 RLast= 8.02D-02 DXMaxT set to 7.07D-01&lt;br /&gt;
     Eigenvalues ---    0.00133   0.00220   0.00241   0.01569   0.01894&lt;br /&gt;
     Eigenvalues ---    0.02690   0.02770   0.03737   0.04023   0.04191&lt;br /&gt;
     Eigenvalues ---    0.04353   0.05220   0.05385   0.08959   0.09813&lt;br /&gt;
     Eigenvalues ---    0.12682   0.13017   0.14201   0.15577   0.15968&lt;br /&gt;
     Eigenvalues ---    0.16002   0.16080   0.16143   0.20096   0.21349&lt;br /&gt;
     Eigenvalues ---    0.21866   0.23045   0.27934   0.29563   0.30654&lt;br /&gt;
     Eigenvalues ---    0.36653   0.37041   0.37213   0.37223   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37231   0.37233   0.37255   0.37371   0.37454&lt;br /&gt;
     Eigenvalues ---    0.54044   0.597791000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-2.02935525D-06.&lt;br /&gt;
 Quartic linear search produced a step of -0.34280.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00725028 RMS(Int)=  0.00002285&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00003319 RMS(Int)=  0.00000209&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000209&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02855   0.00001   0.00000   0.00001   0.00001   2.02856&lt;br /&gt;
    R2        2.03112  -0.00001   0.00003  -0.00004  -0.00002   2.03110&lt;br /&gt;
    R3        2.48726   0.00016   0.00002   0.00015   0.00017   2.48743&lt;br /&gt;
    R4        2.03176  -0.00006   0.00015  -0.00027  -0.00012   2.03165&lt;br /&gt;
    R5        2.85026   0.00004   0.00002   0.00014   0.00016   2.85042&lt;br /&gt;
    R6        2.04923  -0.00003  -0.00007   0.00004  -0.00003   2.04920&lt;br /&gt;
    R7        2.05473  -0.00011   0.00034  -0.00059  -0.00025   2.05448&lt;br /&gt;
    R8        2.93554  -0.00005  -0.00036   0.00008  -0.00028   2.93526&lt;br /&gt;
    R9        2.05364  -0.00005   0.00006  -0.00016  -0.00010   2.05354&lt;br /&gt;
   R10        2.04783  -0.00003   0.00008  -0.00013  -0.00005   2.04778&lt;br /&gt;
   R11        2.85205   0.00001   0.00033  -0.00025   0.00008   2.85213&lt;br /&gt;
   R12        2.03578  -0.00002   0.00002  -0.00008  -0.00006   2.03572&lt;br /&gt;
   R13        2.48767   0.00007   0.00005   0.00001   0.00006   2.48773&lt;br /&gt;
   R14        2.02850   0.00001  -0.00004   0.00005   0.00001   2.02852&lt;br /&gt;
   R15        2.03046   0.00000   0.00004  -0.00006  -0.00002   2.03044&lt;br /&gt;
    A1        2.02931  -0.00003   0.00011  -0.00018  -0.00007   2.02925&lt;br /&gt;
    A2        2.12530   0.00002   0.00000   0.00002   0.00002   2.12532&lt;br /&gt;
    A3        2.12856   0.00001  -0.00012   0.00017   0.00005   2.12862&lt;br /&gt;
    A4        2.09251   0.00006   0.00060  -0.00030   0.00031   2.09282&lt;br /&gt;
    A5        2.17386  -0.00009   0.00023  -0.00055  -0.00031   2.17356&lt;br /&gt;
    A6        2.01658   0.00004  -0.00076   0.00086   0.00011   2.01669&lt;br /&gt;
    A7        1.91557   0.00001  -0.00020   0.00026   0.00007   1.91564&lt;br /&gt;
    A8        1.91558   0.00000  -0.00008  -0.00034  -0.00041   1.91517&lt;br /&gt;
    A9        1.95045  -0.00001   0.00051  -0.00040   0.00011   1.95056&lt;br /&gt;
   A10        1.87643   0.00002   0.00014   0.00019   0.00033   1.87676&lt;br /&gt;
   A11        1.90826  -0.00003  -0.00010  -0.00008  -0.00019   1.90807&lt;br /&gt;
   A12        1.89596   0.00001  -0.00028   0.00038   0.00010   1.89606&lt;br /&gt;
   A13        1.89317  -0.00002  -0.00055   0.00027  -0.00028   1.89288&lt;br /&gt;
   A14        1.90558  -0.00001  -0.00015   0.00028   0.00013   1.90572&lt;br /&gt;
   A15        1.95238   0.00001   0.00047  -0.00043   0.00004   1.95242&lt;br /&gt;
   A16        1.88286   0.00001   0.00022  -0.00027  -0.00005   1.88281&lt;br /&gt;
   A17        1.90380  -0.00001   0.00019  -0.00044  -0.00025   1.90355&lt;br /&gt;
   A18        1.92449   0.00003  -0.00020   0.00059   0.00039   1.92488&lt;br /&gt;
   A19        2.01222   0.00003   0.00001   0.00018   0.00019   2.01241&lt;br /&gt;
   A20        2.18243  -0.00006  -0.00014  -0.00014  -0.00029   2.18214&lt;br /&gt;
   A21        2.08853   0.00003   0.00013  -0.00004   0.00009   2.08862&lt;br /&gt;
   A22        2.12652   0.00001  -0.00015   0.00017   0.00001   2.12653&lt;br /&gt;
   A23        2.12538   0.00001  -0.00001   0.00005   0.00004   2.12542&lt;br /&gt;
   A24        2.03128  -0.00002   0.00017  -0.00022  -0.00006   2.03123&lt;br /&gt;
    D1       -0.00753  -0.00008   0.00156  -0.00199  -0.00044  -0.00797&lt;br /&gt;
    D2       -3.12500  -0.00026  -0.00461  -0.00304  -0.00765  -3.13265&lt;br /&gt;
    D3        3.12915   0.00030   0.00670   0.00019   0.00689   3.13604&lt;br /&gt;
    D4        0.01168   0.00012   0.00053  -0.00085  -0.00032   0.01136&lt;br /&gt;
    D5       -0.02438   0.00013   0.01140   0.00088   0.01228  -0.01210&lt;br /&gt;
    D6       -2.08296   0.00010   0.01139   0.00069   0.01208  -2.07088&lt;br /&gt;
    D7        2.09569   0.00009   0.01147   0.00069   0.01216   2.10785&lt;br /&gt;
    D8        3.14039  -0.00005   0.00547  -0.00012   0.00535  -3.13744&lt;br /&gt;
    D9        1.08181  -0.00008   0.00546  -0.00031   0.00515   1.08696&lt;br /&gt;
   D10       -1.02273  -0.00009   0.00554  -0.00030   0.00523  -1.01750&lt;br /&gt;
   D11       -3.00139   0.00000   0.00054  -0.00093  -0.00038  -3.00177&lt;br /&gt;
   D12       -0.95380  -0.00001   0.00041  -0.00095  -0.00053  -0.95434&lt;br /&gt;
   D13        1.18119   0.00003   0.00038  -0.00029   0.00009   1.18127&lt;br /&gt;
   D14       -0.87711  -0.00001   0.00056  -0.00091  -0.00035  -0.87746&lt;br /&gt;
   D15        1.17048  -0.00003   0.00043  -0.00093  -0.00050   1.16997&lt;br /&gt;
   D16       -2.97772   0.00001   0.00039  -0.00027   0.00012  -2.97760&lt;br /&gt;
   D17        1.16585   0.00000   0.00051  -0.00051   0.00000   1.16584&lt;br /&gt;
   D18       -3.06975  -0.00001   0.00038  -0.00053  -0.00015  -3.06991&lt;br /&gt;
   D19       -0.93476   0.00003   0.00034   0.00013   0.00047  -0.93430&lt;br /&gt;
   D20        1.09686  -0.00004  -0.00602  -0.00072  -0.00673   1.09013&lt;br /&gt;
   D21       -2.03975  -0.00002  -0.00568   0.00023  -0.00545  -2.04520&lt;br /&gt;
   D22       -0.99753  -0.00001  -0.00575  -0.00049  -0.00624  -1.00377&lt;br /&gt;
   D23        2.14904   0.00001  -0.00542   0.00046  -0.00496   2.14408&lt;br /&gt;
   D24       -3.06218  -0.00003  -0.00602  -0.00024  -0.00626  -3.06843&lt;br /&gt;
   D25        0.08440  -0.00001  -0.00568   0.00071  -0.00497   0.07942&lt;br /&gt;
   D26        3.13832   0.00003  -0.00094   0.00197   0.00103   3.13936&lt;br /&gt;
   D27       -0.00446  -0.00007   0.00039  -0.00279  -0.00240  -0.00686&lt;br /&gt;
   D28        0.00191   0.00005  -0.00059   0.00295   0.00237   0.00428&lt;br /&gt;
   D29       -3.14087  -0.00005   0.00074  -0.00181  -0.00107   3.14125&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000300     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000069     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.023814     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.007245     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-4.063410D-06&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.250075   -0.383074    0.021378&lt;br /&gt;
    2          1             0       -0.243351   -0.320733    1.093013&lt;br /&gt;
    3          1             0        0.415574   -1.103947   -0.417346&lt;br /&gt;
    4          6             0       -1.028874    0.383340   -0.712583&lt;br /&gt;
    5          1             0       -1.686035    1.090056   -0.238730&lt;br /&gt;
    6          6             0       -1.096683    0.340618   -2.218830&lt;br /&gt;
    7          1             0       -0.402840   -0.402461   -2.596082&lt;br /&gt;
    8          1             0       -0.799373    1.303379   -2.627081&lt;br /&gt;
    9          6             0       -2.528453    0.009065   -2.721591&lt;br /&gt;
   10          1             0       -2.487835   -0.148650   -3.796006&lt;br /&gt;
   11          1             0       -2.862429   -0.913852   -2.262291&lt;br /&gt;
   12          6             0       -3.501136    1.123913   -2.423377&lt;br /&gt;
   13          1             0       -3.283835    2.064629   -2.901203&lt;br /&gt;
   14          6             0       -4.553318    1.019072   -1.639179&lt;br /&gt;
   15          1             0       -5.211630    1.848013   -1.460949&lt;br /&gt;
   16          1             0       -4.801904    0.097390   -1.146052&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073468   0.000000&lt;br /&gt;
     3  H    1.074813   1.824498   0.000000&lt;br /&gt;
     4  C    1.316289   2.091158   2.094186   0.000000&lt;br /&gt;
     5  H    2.073584   2.417685   3.043404   1.075102   0.000000&lt;br /&gt;
     6  C    2.501801   3.483370   2.760260   1.508378   2.197679&lt;br /&gt;
     7  H    2.621986   3.693446   2.430797   2.134707   3.071043&lt;br /&gt;
     8  H    3.187505   4.097072   3.486294   2.136457   2.556541&lt;br /&gt;
     9  C    3.587291   4.458886   3.900722   2.534745   2.835984&lt;br /&gt;
    10  H    4.431133   5.382362   4.556064   3.452401   3.851167&lt;br /&gt;
    11  H    3.510166   4.297607   3.766332   2.728777   3.081291&lt;br /&gt;
    12  C    4.337883   5.006512   4.932356   3.096343   2.840497&lt;br /&gt;
    13  H    4.872006   5.557721   5.467637   3.563937   3.254463&lt;br /&gt;
    14  C    4.820930   5.275961   5.539853   3.699248   3.191804&lt;br /&gt;
    15  H    5.638446   5.992493   6.439611   4.494526   3.807642&lt;br /&gt;
    16  H    4.723652   5.095944   5.403360   3.808597   3.393709&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084391   0.000000&lt;br /&gt;
     8  H    1.087186   1.751597   0.000000&lt;br /&gt;
     9  C    1.553274   2.168718   2.161921   0.000000&lt;br /&gt;
    10  H    2.159206   2.418975   2.515090   1.086688   0.000000&lt;br /&gt;
    11  H    2.166436   2.534268   3.050474   1.083639   1.754462&lt;br /&gt;
    12  C    2.537082   3.458190   2.715369   1.509280   2.128451&lt;br /&gt;
    13  H    2.867313   3.805229   2.612891   2.197318   2.516524&lt;br /&gt;
    14  C    3.569960   4.490310   3.892157   2.508347   3.206508&lt;br /&gt;
    15  H    4.447405   5.429329   4.596140   3.488607   4.105875&lt;br /&gt;
    16  H    3.865058   4.658777   4.434875   2.767436   3.526713&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141584   0.000000&lt;br /&gt;
    13  H    3.075247   1.077258   0.000000&lt;br /&gt;
    14  C    2.642644   1.316451   2.073036   0.000000&lt;br /&gt;
    15  H    3.713326   2.091980   2.416122   1.073445   0.000000&lt;br /&gt;
    16  H    2.455639   2.092201   3.042223   1.074462   1.825299&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.536985   -0.683930    0.181776&lt;br /&gt;
    2          1             0       -2.953927   -1.671467    0.124649&lt;br /&gt;
    3          1             0       -3.141693    0.060364    0.667140&lt;br /&gt;
    4          6             0       -1.352274   -0.401841   -0.317727&lt;br /&gt;
    5          1             0       -0.772909   -1.173361   -0.792003&lt;br /&gt;
    6          6             0       -0.702872    0.958473   -0.262693&lt;br /&gt;
    7          1             0       -1.362894    1.659875    0.235613&lt;br /&gt;
    8          1             0       -0.535719    1.326498   -1.271945&lt;br /&gt;
    9          6             0        0.659435    0.916459    0.482301&lt;br /&gt;
   10          1             0        1.009915    1.936335    0.616122&lt;br /&gt;
   11          1             0        0.514887    0.482776    1.464797&lt;br /&gt;
   12          6             0        1.696922    0.135561   -0.286950&lt;br /&gt;
   13          1             0        1.955812    0.539699   -1.251385&lt;br /&gt;
   14          6             0        2.275197   -0.970070    0.132837&lt;br /&gt;
   15          1             0        3.007211   -1.486158   -0.458849&lt;br /&gt;
   16          1             0        2.042781   -1.402476    1.088597&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.0042541      1.9309922      1.6601167&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.6724686398 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692661087     A.U. after    9 cycles&lt;br /&gt;
             Convg  =    0.5870D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000063673    0.000038872   -0.000002749&lt;br /&gt;
    2          1          -0.000026771   -0.000043810    0.000013673&lt;br /&gt;
    3          1          -0.000006140   -0.000001771    0.000008958&lt;br /&gt;
    4          6           0.000015672    0.000033977    0.000022558&lt;br /&gt;
    5          1           0.000013525   -0.000010078   -0.000013840&lt;br /&gt;
    6          6          -0.000043947   -0.000003849   -0.000028217&lt;br /&gt;
    7          1          -0.000020644    0.000003749    0.000023136&lt;br /&gt;
    8          1           0.000005444   -0.000010561    0.000017024&lt;br /&gt;
    9          6          -0.000003059    0.000010856   -0.000039756&lt;br /&gt;
   10          1          -0.000008775   -0.000008268   -0.000015924&lt;br /&gt;
   11          1          -0.000000568    0.000014582    0.000000365&lt;br /&gt;
   12          6           0.000064744    0.000003528    0.000044787&lt;br /&gt;
   13          1           0.000003845   -0.000010444   -0.000015294&lt;br /&gt;
   14          6          -0.000084495   -0.000038827   -0.000090045&lt;br /&gt;
   15          1           0.000013251    0.000007915    0.000037313&lt;br /&gt;
   16          1           0.000014244    0.000014128    0.000038012&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000090045 RMS     0.000030335&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000070631 RMS     0.000019058&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  14 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 11 12 13 14&lt;br /&gt;
 Trust test= 9.25D-01 RLast= 2.92D-02 DXMaxT set to 7.07D-01&lt;br /&gt;
     Eigenvalues ---    0.00129   0.00223   0.00241   0.01559   0.01938&lt;br /&gt;
     Eigenvalues ---    0.02691   0.02899   0.03890   0.04103   0.04258&lt;br /&gt;
     Eigenvalues ---    0.04663   0.05224   0.05382   0.08983   0.09818&lt;br /&gt;
     Eigenvalues ---    0.12655   0.13020   0.14235   0.15583   0.15971&lt;br /&gt;
     Eigenvalues ---    0.16003   0.16081   0.16137   0.20374   0.21435&lt;br /&gt;
     Eigenvalues ---    0.21775   0.23184   0.27928   0.29519   0.30731&lt;br /&gt;
     Eigenvalues ---    0.36469   0.36990   0.37213   0.37223   0.37229&lt;br /&gt;
     Eigenvalues ---    0.37231   0.37243   0.37282   0.37321   0.37451&lt;br /&gt;
     Eigenvalues ---    0.54057   0.595321000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-3.17713702D-07.&lt;br /&gt;
 Quartic linear search produced a step of -0.06935.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00143903 RMS(Int)=  0.00000095&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000123 RMS(Int)=  0.00000014&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000014&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02856   0.00001   0.00000   0.00003   0.00002   2.02859&lt;br /&gt;
    R2        2.03110  -0.00001   0.00000  -0.00001  -0.00001   2.03109&lt;br /&gt;
    R3        2.48743   0.00003  -0.00001   0.00008   0.00007   2.48750&lt;br /&gt;
    R4        2.03165  -0.00002   0.00001  -0.00006  -0.00005   2.03160&lt;br /&gt;
    R5        2.85042   0.00003  -0.00001   0.00015   0.00014   2.85056&lt;br /&gt;
    R6        2.04920  -0.00002   0.00000  -0.00006  -0.00006   2.04914&lt;br /&gt;
    R7        2.05448  -0.00001   0.00002  -0.00006  -0.00004   2.05444&lt;br /&gt;
    R8        2.93526   0.00002   0.00002  -0.00005  -0.00003   2.93523&lt;br /&gt;
    R9        2.05354   0.00002   0.00001   0.00003   0.00004   2.05358&lt;br /&gt;
   R10        2.04778  -0.00001   0.00000  -0.00003  -0.00002   2.04776&lt;br /&gt;
   R11        2.85213  -0.00002  -0.00001  -0.00004  -0.00005   2.85208&lt;br /&gt;
   R12        2.03572   0.00000   0.00000  -0.00001  -0.00001   2.03572&lt;br /&gt;
   R13        2.48773   0.00004   0.00000   0.00007   0.00007   2.48780&lt;br /&gt;
   R14        2.02852   0.00000   0.00000   0.00001   0.00001   2.02853&lt;br /&gt;
   R15        2.03044   0.00000   0.00000   0.00000   0.00001   2.03045&lt;br /&gt;
    A1        2.02925  -0.00001   0.00000  -0.00009  -0.00008   2.02917&lt;br /&gt;
    A2        2.12532   0.00001   0.00000   0.00008   0.00008   2.12539&lt;br /&gt;
    A3        2.12862   0.00000   0.00000   0.00001   0.00001   2.12862&lt;br /&gt;
    A4        2.09282   0.00001  -0.00002   0.00010   0.00007   2.09290&lt;br /&gt;
    A5        2.17356   0.00000   0.00002  -0.00006  -0.00004   2.17352&lt;br /&gt;
    A6        2.01669   0.00000  -0.00001  -0.00003  -0.00004   2.01665&lt;br /&gt;
    A7        1.91564  -0.00003   0.00000  -0.00021  -0.00021   1.91543&lt;br /&gt;
    A8        1.91517  -0.00003   0.00003  -0.00016  -0.00013   1.91504&lt;br /&gt;
    A9        1.95056   0.00007  -0.00001   0.00034   0.00033   1.95089&lt;br /&gt;
   A10        1.87676   0.00001  -0.00002   0.00007   0.00005   1.87680&lt;br /&gt;
   A11        1.90807  -0.00002   0.00001  -0.00015  -0.00014   1.90793&lt;br /&gt;
   A12        1.89606  -0.00001  -0.00001   0.00011   0.00010   1.89616&lt;br /&gt;
   A13        1.89288   0.00001   0.00002   0.00007   0.00009   1.89297&lt;br /&gt;
   A14        1.90572   0.00000  -0.00001  -0.00001  -0.00002   1.90569&lt;br /&gt;
   A15        1.95242   0.00000   0.00000   0.00004   0.00003   1.95246&lt;br /&gt;
   A16        1.88281   0.00000   0.00000  -0.00002  -0.00002   1.88279&lt;br /&gt;
   A17        1.90355   0.00000   0.00002  -0.00001   0.00000   1.90356&lt;br /&gt;
   A18        1.92488  -0.00001  -0.00003  -0.00006  -0.00009   1.92480&lt;br /&gt;
   A19        2.01241  -0.00002  -0.00001  -0.00006  -0.00008   2.01233&lt;br /&gt;
   A20        2.18214   0.00001   0.00002  -0.00002   0.00000   2.18214&lt;br /&gt;
   A21        2.08862   0.00001  -0.00001   0.00009   0.00008   2.08870&lt;br /&gt;
   A22        2.12653   0.00001   0.00000   0.00004   0.00003   2.12657&lt;br /&gt;
   A23        2.12542   0.00001   0.00000   0.00005   0.00005   2.12547&lt;br /&gt;
   A24        2.03123  -0.00001   0.00000  -0.00008  -0.00008   2.03115&lt;br /&gt;
    D1       -0.00797   0.00004   0.00003   0.00102   0.00105  -0.00692&lt;br /&gt;
    D2       -3.13265   0.00005   0.00053   0.00069   0.00123  -3.13143&lt;br /&gt;
    D3        3.13604  -0.00001  -0.00048   0.00044  -0.00004   3.13600&lt;br /&gt;
    D4        0.01136   0.00000   0.00002   0.00011   0.00013   0.01150&lt;br /&gt;
    D5       -0.01210  -0.00001  -0.00085   0.00319   0.00234  -0.00976&lt;br /&gt;
    D6       -2.07088   0.00001  -0.00084   0.00333   0.00249  -2.06839&lt;br /&gt;
    D7        2.10785  -0.00001  -0.00084   0.00308   0.00224   2.11009&lt;br /&gt;
    D8       -3.13744   0.00000  -0.00037   0.00288   0.00251  -3.13493&lt;br /&gt;
    D9        1.08696   0.00002  -0.00036   0.00301   0.00266   1.08962&lt;br /&gt;
   D10       -1.01750   0.00000  -0.00036   0.00277   0.00240  -1.01509&lt;br /&gt;
   D11       -3.00177   0.00001   0.00003   0.00022   0.00025  -3.00152&lt;br /&gt;
   D12       -0.95434   0.00001   0.00004   0.00023   0.00027  -0.95407&lt;br /&gt;
   D13        1.18127   0.00000  -0.00001   0.00017   0.00016   1.18144&lt;br /&gt;
   D14       -0.87746   0.00000   0.00002   0.00008   0.00010  -0.87736&lt;br /&gt;
   D15        1.16997   0.00000   0.00003   0.00009   0.00012   1.17010&lt;br /&gt;
   D16       -2.97760  -0.00001  -0.00001   0.00003   0.00002  -2.97758&lt;br /&gt;
   D17        1.16584   0.00000   0.00000   0.00014   0.00014   1.16598&lt;br /&gt;
   D18       -3.06991   0.00000   0.00001   0.00014   0.00016  -3.06975&lt;br /&gt;
   D19       -0.93430   0.00000  -0.00003   0.00008   0.00005  -0.93425&lt;br /&gt;
   D20        1.09013   0.00001   0.00047  -0.00120  -0.00073   1.08940&lt;br /&gt;
   D21       -2.04520   0.00000   0.00038  -0.00171  -0.00134  -2.04654&lt;br /&gt;
   D22       -1.00377   0.00000   0.00043  -0.00130  -0.00087  -1.00464&lt;br /&gt;
   D23        2.14408  -0.00001   0.00034  -0.00182  -0.00147   2.14261&lt;br /&gt;
   D24       -3.06843   0.00001   0.00043  -0.00123  -0.00080  -3.06923&lt;br /&gt;
   D25        0.07942   0.00000   0.00034  -0.00175  -0.00140   0.07802&lt;br /&gt;
   D26        3.13936  -0.00003  -0.00007  -0.00040  -0.00047   3.13888&lt;br /&gt;
   D27       -0.00686   0.00004   0.00017   0.00108   0.00125  -0.00562&lt;br /&gt;
   D28        0.00428  -0.00004  -0.00016  -0.00094  -0.00110   0.00317&lt;br /&gt;
   D29        3.14125   0.00003   0.00007   0.00054   0.00062  -3.14132&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000071     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000019     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.005744     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.001439     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.798871D-07&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.248324   -0.382457    0.021380&lt;br /&gt;
    2          1             0       -0.242102   -0.321148    1.093091&lt;br /&gt;
    3          1             0        0.418613   -1.101905   -0.417710&lt;br /&gt;
    4          6             0       -1.028833    0.382662   -0.712183&lt;br /&gt;
    5          1             0       -1.687283    1.087943   -0.238042&lt;br /&gt;
    6          6             0       -1.097040    0.340073   -2.218491&lt;br /&gt;
    7          1             0       -0.403590   -0.403328   -2.595743&lt;br /&gt;
    8          1             0       -0.799229    1.302707   -2.626615&lt;br /&gt;
    9          6             0       -2.528877    0.009100   -2.721390&lt;br /&gt;
   10          1             0       -2.488295   -0.148742   -3.795807&lt;br /&gt;
   11          1             0       -2.863290   -0.913616   -2.262032&lt;br /&gt;
   12          6             0       -3.501160    1.124299   -2.423309&lt;br /&gt;
   13          1             0       -3.282991    2.065085   -2.900595&lt;br /&gt;
   14          6             0       -4.554302    1.019463   -1.640341&lt;br /&gt;
   15          1             0       -5.212064    1.848774   -1.461770&lt;br /&gt;
   16          1             0       -4.803430    0.097849   -1.147352&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073481   0.000000&lt;br /&gt;
     3  H    1.074807   1.824457   0.000000&lt;br /&gt;
     4  C    1.316327   2.091245   2.094219   0.000000&lt;br /&gt;
     5  H    2.073640   2.417851   3.043438   1.075076   0.000000&lt;br /&gt;
     6  C    2.501878   3.483491   2.760311   1.508453   2.197698&lt;br /&gt;
     7  H    2.621808   3.693281   2.430608   2.134598   3.070914&lt;br /&gt;
     8  H    3.186715   4.096768   3.484905   2.136411   2.557352&lt;br /&gt;
     9  C    3.588458   4.459672   3.902432   2.535074   2.835349&lt;br /&gt;
    10  H    4.432043   5.382976   4.557431   3.452703   3.850806&lt;br /&gt;
    11  H    3.512000   4.298662   3.769332   2.729030   3.079897&lt;br /&gt;
    12  C    4.339096   5.007579   4.933866   3.096834   2.840222&lt;br /&gt;
    13  H    4.872125   5.557935   5.467762   3.563836   3.254271&lt;br /&gt;
    14  C    4.823706   5.278632   5.543006   3.700801   3.192323&lt;br /&gt;
    15  H    5.640641   5.994698   6.442134   4.495641   3.807946&lt;br /&gt;
    16  H    4.727115   5.099104   5.407543   3.810260   3.393745&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084360   0.000000&lt;br /&gt;
     8  H    1.087162   1.751582   0.000000&lt;br /&gt;
     9  C    1.553258   2.168578   2.161963   0.000000&lt;br /&gt;
    10  H    2.159272   2.418876   2.515285   1.086707   0.000000&lt;br /&gt;
    11  H    2.166396   2.534143   3.050468   1.083627   1.754457&lt;br /&gt;
    12  C    2.537076   3.458080   2.715436   1.509256   2.128446&lt;br /&gt;
    13  H    2.866934   3.804858   2.612538   2.197242   2.516739&lt;br /&gt;
    14  C    3.570503   4.490605   3.892754   2.508355   3.206107&lt;br /&gt;
    15  H    4.447721   5.429482   4.596538   3.488629   4.105693&lt;br /&gt;
    16  H    3.865662   4.659143   4.435485   2.767501   3.526326&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141491   0.000000&lt;br /&gt;
    13  H    3.075153   1.077255   0.000000&lt;br /&gt;
    14  C    2.642502   1.316486   2.073113   0.000000&lt;br /&gt;
    15  H    3.713213   2.092035   2.416264   1.073450   0.000000&lt;br /&gt;
    16  H    2.455548   2.092265   3.042304   1.074466   1.825261&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.538322   -0.683364    0.181187&lt;br /&gt;
    2          1             0       -2.955112   -1.671070    0.125645&lt;br /&gt;
    3          1             0       -3.143603    0.061761    0.664544&lt;br /&gt;
    4          6             0       -1.352683   -0.402297   -0.316786&lt;br /&gt;
    5          1             0       -0.772714   -1.174572   -0.789031&lt;br /&gt;
    6          6             0       -0.702912    0.957949   -0.262382&lt;br /&gt;
    7          1             0       -1.362658    1.659428    0.236114&lt;br /&gt;
    8          1             0       -0.536381    1.325647   -1.271831&lt;br /&gt;
    9          6             0        0.659735    0.916321    0.481978&lt;br /&gt;
   10          1             0        1.010189    1.936268    0.615475&lt;br /&gt;
   11          1             0        0.515699    0.482798    1.464607&lt;br /&gt;
   12          6             0        1.696980    0.135365   -0.287492&lt;br /&gt;
   13          1             0        1.954817    0.538935   -1.252443&lt;br /&gt;
   14          6             0        2.276660   -0.969310    0.132986&lt;br /&gt;
   15          1             0        3.008124   -1.485769   -0.459065&lt;br /&gt;
   16          1             0        2.044889   -1.401411    1.089044&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.0103144      1.9295448      1.6592046&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.6578030210 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692661201     A.U. after    8 cycles&lt;br /&gt;
             Convg  =    0.8110D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000026879    0.000006076   -0.000013796&lt;br /&gt;
    2          1           0.000013111    0.000011343    0.000000191&lt;br /&gt;
    3          1          -0.000004669   -0.000002721    0.000001553&lt;br /&gt;
    4          6           0.000001079   -0.000028970    0.000005646&lt;br /&gt;
    5          1          -0.000002338   -0.000000211    0.000003447&lt;br /&gt;
    6          6           0.000010893    0.000002429   -0.000004990&lt;br /&gt;
    7          1           0.000007465    0.000004112    0.000003408&lt;br /&gt;
    8          1          -0.000001022    0.000004504   -0.000009351&lt;br /&gt;
    9          6           0.000000785    0.000011114    0.000011131&lt;br /&gt;
   10          1           0.000005623   -0.000000063    0.000000008&lt;br /&gt;
   11          1          -0.000003274   -0.000002428   -0.000002517&lt;br /&gt;
   12          6          -0.000016927   -0.000016339    0.000008812&lt;br /&gt;
   13          1          -0.000002089    0.000000002   -0.000002401&lt;br /&gt;
   14          6           0.000031577    0.000017079    0.000012825&lt;br /&gt;
   15          1          -0.000007393   -0.000003593   -0.000006717&lt;br /&gt;
   16          1          -0.000005941   -0.000002332   -0.000007251&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000031577 RMS     0.000010325&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000026192 RMS     0.000006953&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  15 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 11 12 13 14 15&lt;br /&gt;
&lt;br /&gt;
 Trust test= 6.33D-01 RLast= 7.09D-03 DXMaxT set to 7.07D-01&lt;br /&gt;
     Eigenvalues ---    0.00158   0.00219   0.00245   0.01536   0.01923&lt;br /&gt;
     Eigenvalues ---    0.02690   0.03119   0.03888   0.04072   0.04269&lt;br /&gt;
     Eigenvalues ---    0.04964   0.05223   0.05376   0.08969   0.09804&lt;br /&gt;
     Eigenvalues ---    0.12651   0.13066   0.14100   0.15491   0.15968&lt;br /&gt;
     Eigenvalues ---    0.16002   0.16059   0.16125   0.20290   0.21641&lt;br /&gt;
     Eigenvalues ---    0.21957   0.23482   0.27898   0.29418   0.30888&lt;br /&gt;
     Eigenvalues ---    0.36295   0.36948   0.37192   0.37214   0.37228&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37238   0.37248   0.37296   0.37446&lt;br /&gt;
     Eigenvalues ---    0.54051   0.600271000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.94952834D-08.&lt;br /&gt;
 Quartic linear search produced a step of -0.26828.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00089845 RMS(Int)=  0.00000032&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000044 RMS(Int)=  0.00000002&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02859   0.00000  -0.00001   0.00001   0.00001   2.02859&lt;br /&gt;
    R2        2.03109   0.00000   0.00000  -0.00001  -0.00001   2.03109&lt;br /&gt;
    R3        2.48750  -0.00003  -0.00002  -0.00002  -0.00003   2.48746&lt;br /&gt;
    R4        2.03160   0.00000   0.00001  -0.00002   0.00000   2.03160&lt;br /&gt;
    R5        2.85056   0.00000  -0.00004   0.00001  -0.00002   2.85054&lt;br /&gt;
    R6        2.04914   0.00000   0.00002  -0.00002   0.00000   2.04914&lt;br /&gt;
    R7        2.05444   0.00001   0.00001   0.00000   0.00001   2.05445&lt;br /&gt;
    R8        2.93523  -0.00001   0.00001   0.00001   0.00002   2.93525&lt;br /&gt;
    R9        2.05358   0.00000  -0.00001   0.00001   0.00000   2.05358&lt;br /&gt;
   R10        2.04776   0.00000   0.00001  -0.00001   0.00000   2.04776&lt;br /&gt;
   R11        2.85208   0.00000   0.00001  -0.00006  -0.00004   2.85204&lt;br /&gt;
   R12        2.03572   0.00000   0.00000   0.00000   0.00000   2.03572&lt;br /&gt;
   R13        2.48780  -0.00002  -0.00002   0.00000  -0.00002   2.48778&lt;br /&gt;
   R14        2.02853   0.00000   0.00000   0.00000   0.00000   2.02853&lt;br /&gt;
   R15        2.03045   0.00000   0.00000   0.00000   0.00000   2.03045&lt;br /&gt;
    A1        2.02917   0.00000   0.00002  -0.00004  -0.00002   2.02915&lt;br /&gt;
    A2        2.12539   0.00000  -0.00002   0.00003   0.00001   2.12540&lt;br /&gt;
    A3        2.12862   0.00000   0.00000   0.00001   0.00001   2.12863&lt;br /&gt;
    A4        2.09290   0.00000  -0.00002  -0.00001  -0.00003   2.09287&lt;br /&gt;
    A5        2.17352   0.00000   0.00001   0.00001   0.00002   2.17354&lt;br /&gt;
    A6        2.01665   0.00000   0.00001   0.00001   0.00002   2.01667&lt;br /&gt;
    A7        1.91543   0.00000   0.00006  -0.00008  -0.00002   1.91540&lt;br /&gt;
    A8        1.91504   0.00001   0.00003   0.00003   0.00006   1.91510&lt;br /&gt;
    A9        1.95089  -0.00003  -0.00009   0.00003  -0.00006   1.95083&lt;br /&gt;
   A10        1.87680  -0.00001  -0.00001  -0.00001  -0.00002   1.87678&lt;br /&gt;
   A11        1.90793   0.00001   0.00004   0.00002   0.00006   1.90799&lt;br /&gt;
   A12        1.89616   0.00000  -0.00003   0.00001  -0.00001   1.89615&lt;br /&gt;
   A13        1.89297   0.00000  -0.00002   0.00001  -0.00002   1.89296&lt;br /&gt;
   A14        1.90569   0.00000   0.00001   0.00000   0.00000   1.90570&lt;br /&gt;
   A15        1.95246   0.00000  -0.00001  -0.00001  -0.00002   1.95244&lt;br /&gt;
   A16        1.88279   0.00000   0.00000  -0.00001   0.00000   1.88279&lt;br /&gt;
   A17        1.90356   0.00000   0.00000   0.00004   0.00004   1.90359&lt;br /&gt;
   A18        1.92480   0.00000   0.00002  -0.00002   0.00000   1.92480&lt;br /&gt;
   A19        2.01233   0.00000   0.00002  -0.00005  -0.00003   2.01230&lt;br /&gt;
   A20        2.18214   0.00001   0.00000   0.00005   0.00005   2.18219&lt;br /&gt;
   A21        2.08870  -0.00001  -0.00002   0.00000  -0.00002   2.08868&lt;br /&gt;
   A22        2.12657   0.00000  -0.00001   0.00003   0.00002   2.12658&lt;br /&gt;
   A23        2.12547   0.00000  -0.00001   0.00001   0.00000   2.12547&lt;br /&gt;
   A24        2.03115   0.00000   0.00002  -0.00004  -0.00002   2.03113&lt;br /&gt;
    D1       -0.00692  -0.00001  -0.00028   0.00011  -0.00017  -0.00709&lt;br /&gt;
    D2       -3.13143  -0.00002  -0.00033  -0.00010  -0.00043  -3.13186&lt;br /&gt;
    D3        3.13600   0.00000   0.00001   0.00001   0.00002   3.13603&lt;br /&gt;
    D4        0.01150  -0.00001  -0.00004  -0.00020  -0.00023   0.01126&lt;br /&gt;
    D5       -0.00976   0.00000  -0.00063  -0.00035  -0.00097  -0.01073&lt;br /&gt;
    D6       -2.06839   0.00000  -0.00067  -0.00030  -0.00097  -2.06936&lt;br /&gt;
    D7        2.11009   0.00000  -0.00060  -0.00036  -0.00096   2.10913&lt;br /&gt;
    D8       -3.13493   0.00000  -0.00067  -0.00055  -0.00122  -3.13616&lt;br /&gt;
    D9        1.08962  -0.00001  -0.00071  -0.00051  -0.00122   1.08840&lt;br /&gt;
   D10       -1.01509   0.00000  -0.00065  -0.00056  -0.00121  -1.01630&lt;br /&gt;
   D11       -3.00152   0.00000  -0.00007   0.00003  -0.00004  -3.00156&lt;br /&gt;
   D12       -0.95407   0.00000  -0.00007   0.00002  -0.00005  -0.95412&lt;br /&gt;
   D13        1.18144   0.00000  -0.00004  -0.00002  -0.00006   1.18137&lt;br /&gt;
   D14       -0.87736   0.00000  -0.00003  -0.00004  -0.00007  -0.87743&lt;br /&gt;
   D15        1.17010   0.00000  -0.00003  -0.00005  -0.00008   1.17001&lt;br /&gt;
   D16       -2.97758   0.00000   0.00000  -0.00009  -0.00009  -2.97768&lt;br /&gt;
   D17        1.16598   0.00000  -0.00004  -0.00004  -0.00007   1.16590&lt;br /&gt;
   D18       -3.06975   0.00000  -0.00004  -0.00004  -0.00008  -3.06984&lt;br /&gt;
   D19       -0.93425   0.00000  -0.00001  -0.00008  -0.00009  -0.93434&lt;br /&gt;
   D20        1.08940   0.00000   0.00020   0.00111   0.00130   1.09070&lt;br /&gt;
   D21       -2.04654   0.00000   0.00036   0.00091   0.00127  -2.04526&lt;br /&gt;
   D22       -1.00464   0.00000   0.00023   0.00108   0.00131  -1.00333&lt;br /&gt;
   D23        2.14261   0.00000   0.00040   0.00089   0.00128   2.14389&lt;br /&gt;
   D24       -3.06923   0.00000   0.00021   0.00108   0.00129  -3.06794&lt;br /&gt;
   D25        0.07802   0.00000   0.00038   0.00089   0.00126   0.07928&lt;br /&gt;
   D26        3.13888   0.00001   0.00013  -0.00006   0.00007   3.13895&lt;br /&gt;
   D27       -0.00562  -0.00001  -0.00033   0.00019  -0.00014  -0.00576&lt;br /&gt;
   D28        0.00317   0.00001   0.00030  -0.00026   0.00004   0.00321&lt;br /&gt;
   D29       -3.14132  -0.00001  -0.00017  -0.00001  -0.00017  -3.14150&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000026     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.002790     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.000898     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.742773D-08&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.249222   -0.382769    0.021423&lt;br /&gt;
    2          1             0       -0.242895   -0.321212    1.093122&lt;br /&gt;
    3          1             0        0.417137   -1.102843   -0.417513&lt;br /&gt;
    4          6             0       -1.029008    0.382913   -0.712289&lt;br /&gt;
    5          1             0       -1.686866    1.088821   -0.238262&lt;br /&gt;
    6          6             0       -1.096938    0.340411   -2.218599&lt;br /&gt;
    7          1             0       -0.403231   -0.402797   -2.595756&lt;br /&gt;
    8          1             0       -0.799301    1.303129   -2.626669&lt;br /&gt;
    9          6             0       -2.528649    0.009131   -2.721690&lt;br /&gt;
   10          1             0       -2.487889   -0.148599   -3.796117&lt;br /&gt;
   11          1             0       -2.862885   -0.913715   -2.262465&lt;br /&gt;
   12          6             0       -3.501210    1.124048   -2.423578&lt;br /&gt;
   13          1             0       -3.283893    2.064584   -2.901746&lt;br /&gt;
   14          6             0       -4.553646    1.019313   -1.639668&lt;br /&gt;
   15          1             0       -5.211679    1.848431   -1.461197&lt;br /&gt;
   16          1             0       -4.802022    0.097911   -1.145903&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073484   0.000000&lt;br /&gt;
     3  H    1.074805   1.824447   0.000000&lt;br /&gt;
     4  C    1.316308   2.091237   2.094206   0.000000&lt;br /&gt;
     5  H    2.073604   2.417814   3.043411   1.075075   0.000000&lt;br /&gt;
     6  C    2.501861   3.483480   2.760311   1.508440   2.197696&lt;br /&gt;
     7  H    2.621782   3.693261   2.430599   2.134569   3.070899&lt;br /&gt;
     8  H    3.187041   4.096940   3.485512   2.136449   2.556988&lt;br /&gt;
     9  C    3.588041   4.459438   3.901714   2.535021   2.835797&lt;br /&gt;
    10  H    4.431713   5.382792   4.556833   3.452656   3.851127&lt;br /&gt;
    11  H    3.511307   4.298298   3.768044   2.728991   3.080677&lt;br /&gt;
    12  C    4.338657   5.007251   4.933232   3.096703   2.840544&lt;br /&gt;
    13  H    4.872749   5.558657   5.468239   3.564583   3.255266&lt;br /&gt;
    14  C    4.822149   5.277094   5.541290   3.699744   3.191739&lt;br /&gt;
    15  H    5.639361   5.993389   6.440719   4.494813   3.807477&lt;br /&gt;
    16  H    4.724583   5.096521   5.404811   3.808527   3.392625&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084359   0.000000&lt;br /&gt;
     8  H    1.087168   1.751574   0.000000&lt;br /&gt;
     9  C    1.553268   2.168628   2.161968   0.000000&lt;br /&gt;
    10  H    2.159268   2.418943   2.515244   1.086708   0.000000&lt;br /&gt;
    11  H    2.166408   2.534170   3.050479   1.083626   1.754456&lt;br /&gt;
    12  C    2.537050   3.458088   2.715442   1.509233   2.128453&lt;br /&gt;
    13  H    2.867444   3.805235   2.613174   2.197204   2.516288&lt;br /&gt;
    14  C    3.569999   4.490261   3.892278   2.508357   3.206500&lt;br /&gt;
    15  H    4.447344   5.429219   4.596167   3.488627   4.105973&lt;br /&gt;
    16  H    3.864858   4.658556   4.434748   2.767528   3.526984&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141470   0.000000&lt;br /&gt;
    13  H    3.075093   1.077256   0.000000&lt;br /&gt;
    14  C    2.642565   1.316475   2.073090   0.000000&lt;br /&gt;
    15  H    3.713263   2.092036   2.416249   1.073451   0.000000&lt;br /&gt;
    16  H    2.455678   2.092253   3.042286   1.074466   1.825253&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.537735   -0.683497    0.181380&lt;br /&gt;
    2          1             0       -2.954637   -1.671128    0.125309&lt;br /&gt;
    3          1             0       -3.142708    0.061293    0.665632&lt;br /&gt;
    4          6             0       -1.352446   -0.402092   -0.317187&lt;br /&gt;
    5          1             0       -0.772817   -1.174064   -0.790341&lt;br /&gt;
    6          6             0       -0.702761    0.958173   -0.262585&lt;br /&gt;
    7          1             0       -1.362688    1.659589    0.235758&lt;br /&gt;
    8          1             0       -0.535960    1.325961   -1.271963&lt;br /&gt;
    9          6             0        0.659702    0.916499    0.482129&lt;br /&gt;
   10          1             0        1.010128    1.936444    0.615727&lt;br /&gt;
   11          1             0        0.515408    0.482970    1.464716&lt;br /&gt;
   12          6             0        1.697085    0.135519   -0.287086&lt;br /&gt;
   13          1             0        1.956069    0.539801   -1.251433&lt;br /&gt;
   14          6             0        2.275656   -0.969918    0.132878&lt;br /&gt;
   15          1             0        3.007340   -1.486302   -0.458969&lt;br /&gt;
   16          1             0        2.042855   -1.402669    1.088392&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.0068966      1.9303589      1.6596576&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       217.6650904729 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692661221     A.U. after    7 cycles&lt;br /&gt;
             Convg  =    0.8300D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000002176   -0.000002013   -0.000000698&lt;br /&gt;
    2          1          -0.000001180   -0.000000735   -0.000000933&lt;br /&gt;
    3          1           0.000000371   -0.000001246   -0.000000740&lt;br /&gt;
    4          6           0.000009845    0.000015441    0.000001892&lt;br /&gt;
    5          1          -0.000006134   -0.000003703    0.000001266&lt;br /&gt;
    6          6          -0.000001134   -0.000007021   -0.000005030&lt;br /&gt;
    7          1           0.000000326   -0.000002241   -0.000001700&lt;br /&gt;
    8          1          -0.000000668    0.000000530    0.000002672&lt;br /&gt;
    9          6           0.000005396   -0.000004882    0.000004538&lt;br /&gt;
   10          1          -0.000000771    0.000000498    0.000001740&lt;br /&gt;
   11          1           0.000002086   -0.000002178    0.000000983&lt;br /&gt;
   12          6          -0.000012498    0.000003671   -0.000012733&lt;br /&gt;
   13          1           0.000001914    0.000003147    0.000005529&lt;br /&gt;
   14          6           0.000008605    0.000003467    0.000008377&lt;br /&gt;
   15          1          -0.000001436   -0.000000934   -0.000002534&lt;br /&gt;
   16          1          -0.000002545   -0.000001800   -0.000002629&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000015441 RMS     0.000004881&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000008636 RMS     0.000002183&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  16 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 11 12 13 14 15&lt;br /&gt;
                                                       16&lt;br /&gt;
 Trust test= 7.10D-01 RLast= 4.20D-03 DXMaxT set to 7.07D-01&lt;br /&gt;
     Eigenvalues ---    0.00192   0.00233   0.00267   0.01673   0.02048&lt;br /&gt;
     Eigenvalues ---    0.02690   0.03099   0.03908   0.04102   0.04289&lt;br /&gt;
     Eigenvalues ---    0.04897   0.05229   0.05368   0.08957   0.09798&lt;br /&gt;
     Eigenvalues ---    0.12662   0.13111   0.14127   0.15451   0.15959&lt;br /&gt;
     Eigenvalues ---    0.16007   0.16045   0.16129   0.20441   0.21539&lt;br /&gt;
     Eigenvalues ---    0.21859   0.23422   0.27867   0.29553   0.30801&lt;br /&gt;
     Eigenvalues ---    0.36202   0.36938   0.37213   0.37219   0.37227&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37246   0.37292   0.37295   0.37464&lt;br /&gt;
     Eigenvalues ---    0.54044   0.596521000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda= 0.00000000D+00.&lt;br /&gt;
 Quartic linear search produced a step of -0.22505.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00024342 RMS(Int)=  0.00000004&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000005 RMS(Int)=  0.00000000&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02859   0.00000   0.00000   0.00000   0.00000   2.02859&lt;br /&gt;
    R2        2.03109   0.00000   0.00000   0.00000   0.00000   2.03109&lt;br /&gt;
    R3        2.48746   0.00000   0.00001  -0.00001  -0.00001   2.48746&lt;br /&gt;
    R4        2.03160   0.00000   0.00000   0.00001   0.00001   2.03160&lt;br /&gt;
    R5        2.85054   0.00000   0.00001   0.00000   0.00001   2.85055&lt;br /&gt;
    R6        2.04914   0.00000   0.00000   0.00000   0.00000   2.04915&lt;br /&gt;
    R7        2.05445   0.00000   0.00000   0.00001   0.00000   2.05445&lt;br /&gt;
    R8        2.93525   0.00000   0.00000  -0.00001  -0.00001   2.93524&lt;br /&gt;
    R9        2.05358   0.00000   0.00000   0.00000   0.00000   2.05358&lt;br /&gt;
   R10        2.04776   0.00000   0.00000   0.00000   0.00000   2.04776&lt;br /&gt;
   R11        2.85204   0.00001   0.00001   0.00002   0.00003   2.85207&lt;br /&gt;
   R12        2.03572   0.00000   0.00000   0.00000   0.00000   2.03572&lt;br /&gt;
   R13        2.48778   0.00000   0.00000  -0.00001   0.00000   2.48777&lt;br /&gt;
   R14        2.02853   0.00000   0.00000   0.00000   0.00000   2.02853&lt;br /&gt;
   R15        2.03045   0.00000   0.00000   0.00000   0.00000   2.03045&lt;br /&gt;
    A1        2.02915   0.00000   0.00000   0.00000   0.00000   2.02915&lt;br /&gt;
    A2        2.12540   0.00000   0.00000   0.00000   0.00000   2.12540&lt;br /&gt;
    A3        2.12863   0.00000   0.00000   0.00000  -0.00001   2.12863&lt;br /&gt;
    A4        2.09287   0.00000   0.00001   0.00000   0.00001   2.09287&lt;br /&gt;
    A5        2.17354   0.00000   0.00000  -0.00001  -0.00001   2.17352&lt;br /&gt;
    A6        2.01667   0.00000   0.00000   0.00001   0.00000   2.01667&lt;br /&gt;
    A7        1.91540   0.00000   0.00001   0.00001   0.00001   1.91541&lt;br /&gt;
    A8        1.91510   0.00000  -0.00001   0.00001   0.00000   1.91510&lt;br /&gt;
    A9        1.95083   0.00000   0.00001  -0.00005  -0.00003   1.95080&lt;br /&gt;
   A10        1.87678   0.00000   0.00000   0.00001   0.00001   1.87680&lt;br /&gt;
   A11        1.90799   0.00000  -0.00001   0.00002   0.00001   1.90800&lt;br /&gt;
   A12        1.89615   0.00000   0.00000   0.00000   0.00000   1.89615&lt;br /&gt;
   A13        1.89296   0.00000   0.00000  -0.00001   0.00000   1.89295&lt;br /&gt;
   A14        1.90570   0.00000   0.00000   0.00000   0.00000   1.90570&lt;br /&gt;
   A15        1.95244   0.00000   0.00000   0.00000   0.00001   1.95245&lt;br /&gt;
   A16        1.88279   0.00000   0.00000   0.00000   0.00000   1.88279&lt;br /&gt;
   A17        1.90359   0.00000  -0.00001   0.00000  -0.00001   1.90359&lt;br /&gt;
   A18        1.92480   0.00000   0.00000   0.00001   0.00001   1.92480&lt;br /&gt;
   A19        2.01230   0.00000   0.00001   0.00000   0.00001   2.01231&lt;br /&gt;
   A20        2.18219   0.00000  -0.00001   0.00000  -0.00001   2.18218&lt;br /&gt;
   A21        2.08868   0.00000   0.00000  -0.00001   0.00000   2.08867&lt;br /&gt;
   A22        2.12658   0.00000   0.00000   0.00000   0.00000   2.12658&lt;br /&gt;
   A23        2.12547   0.00000   0.00000   0.00000   0.00000   2.12547&lt;br /&gt;
   A24        2.03113   0.00000   0.00000  -0.00001   0.00000   2.03113&lt;br /&gt;
    D1       -0.00709   0.00000   0.00004  -0.00017  -0.00013  -0.00722&lt;br /&gt;
    D2       -3.13186   0.00000   0.00010   0.00002   0.00012  -3.13174&lt;br /&gt;
    D3        3.13603   0.00000  -0.00001  -0.00013  -0.00014   3.13589&lt;br /&gt;
    D4        0.01126   0.00000   0.00005   0.00006   0.00011   0.01137&lt;br /&gt;
    D5       -0.01073   0.00000   0.00022  -0.00020   0.00002  -0.01071&lt;br /&gt;
    D6       -2.06936   0.00000   0.00022  -0.00022   0.00000  -2.06936&lt;br /&gt;
    D7        2.10913   0.00000   0.00022  -0.00019   0.00002   2.10915&lt;br /&gt;
    D8       -3.13616   0.00000   0.00027  -0.00002   0.00026  -3.13590&lt;br /&gt;
    D9        1.08840   0.00000   0.00027  -0.00004   0.00024   1.08864&lt;br /&gt;
   D10       -1.01630   0.00000   0.00027  -0.00001   0.00026  -1.01604&lt;br /&gt;
   D11       -3.00156   0.00000   0.00001  -0.00010  -0.00009  -3.00165&lt;br /&gt;
   D12       -0.95412   0.00000   0.00001  -0.00011  -0.00009  -0.95422&lt;br /&gt;
   D13        1.18137   0.00000   0.00001  -0.00010  -0.00008   1.18129&lt;br /&gt;
   D14       -0.87743   0.00000   0.00002  -0.00010  -0.00009  -0.87752&lt;br /&gt;
   D15        1.17001   0.00000   0.00002  -0.00011  -0.00009   1.16992&lt;br /&gt;
   D16       -2.97768   0.00000   0.00002  -0.00010  -0.00008  -2.97776&lt;br /&gt;
   D17        1.16590   0.00000   0.00002  -0.00008  -0.00006   1.16584&lt;br /&gt;
   D18       -3.06984   0.00000   0.00002  -0.00009  -0.00007  -3.06991&lt;br /&gt;
   D19       -0.93434   0.00000   0.00002  -0.00008  -0.00006  -0.93440&lt;br /&gt;
   D20        1.09070   0.00000  -0.00029  -0.00027  -0.00056   1.09014&lt;br /&gt;
   D21       -2.04526   0.00000  -0.00029  -0.00012  -0.00040  -2.04567&lt;br /&gt;
   D22       -1.00333   0.00000  -0.00030  -0.00026  -0.00056  -1.00388&lt;br /&gt;
   D23        2.14389   0.00000  -0.00029  -0.00011  -0.00040   2.14349&lt;br /&gt;
   D24       -3.06794   0.00000  -0.00029  -0.00026  -0.00055  -3.06849&lt;br /&gt;
   D25        0.07928   0.00000  -0.00028  -0.00011  -0.00040   0.07888&lt;br /&gt;
   D26        3.13895   0.00000  -0.00002   0.00004   0.00002   3.13897&lt;br /&gt;
   D27       -0.00576  -0.00001   0.00003  -0.00018  -0.00015  -0.00591&lt;br /&gt;
   D28        0.00321   0.00000  -0.00001   0.00019   0.00018   0.00340&lt;br /&gt;
   D29       -3.14150   0.00000   0.00004  -0.00003   0.00001  -3.14148&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000009     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000002     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001026     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000243     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.067417D-09&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !   Optimized Parameters   !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.0735         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R2    R(1,3)                  1.0748         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R3    R(1,4)                  1.3163         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R4    R(4,5)                  1.0751         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R5    R(4,6)                  1.5084         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R6    R(6,7)                  1.0844         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R7    R(6,8)                  1.0872         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R8    R(6,9)                  1.5533         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R9    R(9,10)                 1.0867         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R10   R(9,11)                 1.0836         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R11   R(9,12)                 1.5092         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R12   R(12,13)                1.0773         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R13   R(12,14)                1.3165         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R14   R(14,15)                1.0735         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R15   R(14,16)                1.0745         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A1    A(2,1,3)              116.2616         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A2    A(2,1,4)              121.7767         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A3    A(3,1,4)              121.9616         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A4    A(1,4,5)              119.9124         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A5    A(1,4,6)              124.5345         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A6    A(5,4,6)              115.5467         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A7    A(4,6,7)              109.7445         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A8    A(4,6,8)              109.7272         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A9    A(4,6,9)              111.7744         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A10   A(7,6,8)              107.5318         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A11   A(7,6,9)              109.3198         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A12   A(8,6,9)              108.6411         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A13   A(6,9,10)             108.4584         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A14   A(6,9,11)             109.1885         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A15   A(6,9,12)             111.8664         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A16   A(10,9,11)            107.8759         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A17   A(10,9,12)            109.0678         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A18   A(11,9,12)            110.2827         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A19   A(9,12,13)            115.2964         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A20   A(9,12,14)            125.0303         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A21   A(13,12,14)           119.6725         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A22   A(12,14,15)           121.8443         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A23   A(12,14,16)           121.7803         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A24   A(15,14,16)           116.3752         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D1    D(2,1,4,5)             -0.4065         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D2    D(2,1,4,6)           -179.4423         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D3    D(3,1,4,5)            179.6811         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D4    D(3,1,4,6)              0.6453         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D5    D(1,4,6,7)             -0.6147         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D6    D(1,4,6,8)           -118.5655         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D7    D(1,4,6,9)            120.8441         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D8    D(5,4,6,7)           -179.6884         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D9    D(5,4,6,8)             62.3608         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D10   D(5,4,6,9)            -58.2296         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D11   D(4,6,9,10)          -171.977          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D12   D(4,6,9,11)           -54.6671         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D13   D(4,6,9,12)            67.6878         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D14   D(7,6,9,10)           -50.273          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D15   D(7,6,9,11)            67.0369         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D16   D(7,6,9,12)          -170.6083         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D17   D(8,6,9,10)            66.8014         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D18   D(8,6,9,11)          -175.8887         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D19   D(8,6,9,12)           -53.5338         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D20   D(6,9,12,13)           62.4926         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D21   D(6,9,12,14)         -117.185          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D22   D(10,9,12,13)         -57.4863         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D23   D(10,9,12,14)         122.8361         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D24   D(11,9,12,13)        -175.7798         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D25   D(11,9,12,14)           4.5426         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D26   D(9,12,14,15)         179.8486         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D27   D(9,12,14,16)          -0.3299         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D28   D(13,12,14,15)          0.1841         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D29   D(13,12,14,16)       -179.9945         -DE/DX =    0.0                 !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.249222   -0.382769    0.021423&lt;br /&gt;
    2          1             0       -0.242895   -0.321212    1.093122&lt;br /&gt;
    3          1             0        0.417137   -1.102843   -0.417513&lt;br /&gt;
    4          6             0       -1.029008    0.382913   -0.712289&lt;br /&gt;
    5          1             0       -1.686866    1.088821   -0.238262&lt;br /&gt;
    6          6             0       -1.096938    0.340411   -2.218599&lt;br /&gt;
    7          1             0       -0.403231   -0.402797   -2.595756&lt;br /&gt;
    8          1             0       -0.799301    1.303129   -2.626669&lt;br /&gt;
    9          6             0       -2.528649    0.009131   -2.721690&lt;br /&gt;
   10          1             0       -2.487889   -0.148599   -3.796117&lt;br /&gt;
   11          1             0       -2.862885   -0.913715   -2.262465&lt;br /&gt;
   12          6             0       -3.501210    1.124048   -2.423578&lt;br /&gt;
   13          1             0       -3.283893    2.064584   -2.901746&lt;br /&gt;
   14          6             0       -4.553646    1.019313   -1.639668&lt;br /&gt;
   15          1             0       -5.211679    1.848431   -1.461197&lt;br /&gt;
   16          1             0       -4.802022    0.097911   -1.145903&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073484   0.000000&lt;br /&gt;
     3  H    1.074805   1.824447   0.000000&lt;br /&gt;
     4  C    1.316308   2.091237   2.094206   0.000000&lt;br /&gt;
     5  H    2.073604   2.417814   3.043411   1.075075   0.000000&lt;br /&gt;
     6  C    2.501861   3.483480   2.760311   1.508440   2.197696&lt;br /&gt;
     7  H    2.621782   3.693261   2.430599   2.134569   3.070899&lt;br /&gt;
     8  H    3.187041   4.096940   3.485512   2.136449   2.556988&lt;br /&gt;
     9  C    3.588041   4.459438   3.901714   2.535021   2.835797&lt;br /&gt;
    10  H    4.431713   5.382792   4.556833   3.452656   3.851127&lt;br /&gt;
    11  H    3.511307   4.298298   3.768044   2.728991   3.080677&lt;br /&gt;
    12  C    4.338657   5.007251   4.933232   3.096703   2.840544&lt;br /&gt;
    13  H    4.872749   5.558657   5.468239   3.564583   3.255266&lt;br /&gt;
    14  C    4.822149   5.277094   5.541290   3.699744   3.191739&lt;br /&gt;
    15  H    5.639361   5.993389   6.440719   4.494813   3.807477&lt;br /&gt;
    16  H    4.724583   5.096521   5.404811   3.808527   3.392625&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084359   0.000000&lt;br /&gt;
     8  H    1.087168   1.751574   0.000000&lt;br /&gt;
     9  C    1.553268   2.168628   2.161968   0.000000&lt;br /&gt;
    10  H    2.159268   2.418943   2.515244   1.086708   0.000000&lt;br /&gt;
    11  H    2.166408   2.534170   3.050479   1.083626   1.754456&lt;br /&gt;
    12  C    2.537050   3.458088   2.715442   1.509233   2.128453&lt;br /&gt;
    13  H    2.867444   3.805235   2.613174   2.197204   2.516288&lt;br /&gt;
    14  C    3.569999   4.490261   3.892278   2.508357   3.206500&lt;br /&gt;
    15  H    4.447344   5.429219   4.596167   3.488627   4.105973&lt;br /&gt;
    16  H    3.864858   4.658556   4.434748   2.767528   3.526984&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141470   0.000000&lt;br /&gt;
    13  H    3.075093   1.077256   0.000000&lt;br /&gt;
    14  C    2.642565   1.316475   2.073090   0.000000&lt;br /&gt;
    15  H    3.713263   2.092036   2.416249   1.073451   0.000000&lt;br /&gt;
    16  H    2.455678   2.092253   3.042286   1.074466   1.825253&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.537735   -0.683497    0.181380&lt;br /&gt;
    2          1             0       -2.954637   -1.671128    0.125309&lt;br /&gt;
    3          1             0       -3.142708    0.061293    0.665632&lt;br /&gt;
    4          6             0       -1.352446   -0.402092   -0.317187&lt;br /&gt;
    5          1             0       -0.772817   -1.174064   -0.790341&lt;br /&gt;
    6          6             0       -0.702761    0.958173   -0.262585&lt;br /&gt;
    7          1             0       -1.362688    1.659589    0.235758&lt;br /&gt;
    8          1             0       -0.535960    1.325961   -1.271963&lt;br /&gt;
    9          6             0        0.659702    0.916499    0.482129&lt;br /&gt;
   10          1             0        1.010128    1.936444    0.615727&lt;br /&gt;
   11          1             0        0.515408    0.482970    1.464716&lt;br /&gt;
   12          6             0        1.697085    0.135519   -0.287086&lt;br /&gt;
   13          1             0        1.956069    0.539801   -1.251433&lt;br /&gt;
   14          6             0        2.275656   -0.969918    0.132878&lt;br /&gt;
   15          1             0        3.007340   -1.486302   -0.458969&lt;br /&gt;
   16          1             0        2.042855   -1.402669    1.088392&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):      7.0068966      1.9303589      1.6596576&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.17352 -11.16858 -11.16831 -11.16781 -11.15878&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.15412  -1.09976  -1.04993  -0.97707  -0.86554&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.76629  -0.74784  -0.65285  -0.63720  -0.60048&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.59746  -0.54804  -0.52246  -0.50762  -0.47398&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.46478  -0.36990  -0.35245&lt;br /&gt;
 Alpha virt. eigenvalues --    0.18422   0.19629   0.29151   0.30100   0.30627&lt;br /&gt;
 Alpha virt. eigenvalues --    0.30957   0.33292   0.35809   0.36382   0.37591&lt;br /&gt;
 Alpha virt. eigenvalues --    0.38115   0.38941   0.43552   0.50524   0.52540&lt;br /&gt;
 Alpha virt. eigenvalues --    0.59832   0.60600   0.86677   0.87429   0.94276&lt;br /&gt;
 Alpha virt. eigenvalues --    0.95009   0.96971   1.01303   1.02700   1.04080&lt;br /&gt;
 Alpha virt. eigenvalues --    1.08679   1.10365   1.11573   1.11996   1.14073&lt;br /&gt;
 Alpha virt. eigenvalues --    1.17225   1.19479   1.29576   1.31551   1.34792&lt;br /&gt;
 Alpha virt. eigenvalues --    1.34971   1.38375   1.40007   1.40321   1.43620&lt;br /&gt;
 Alpha virt. eigenvalues --    1.44692   1.53734   1.59663   1.63879   1.66023&lt;br /&gt;
 Alpha virt. eigenvalues --    1.73924   1.77062   2.01319   2.08158   2.33007&lt;br /&gt;
 Alpha virt. eigenvalues --    2.48421&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    5.195734   0.396779   0.399796   0.544568  -0.038971  -0.080358&lt;br /&gt;
     2  H    0.396779   0.467844  -0.021972  -0.051774  -0.001941   0.002671&lt;br /&gt;
     3  H    0.399796  -0.021972   0.472546  -0.054819   0.002189  -0.001840&lt;br /&gt;
     4  C    0.544568  -0.051774  -0.054819   5.290705   0.394986   0.265658&lt;br /&gt;
     5  H   -0.038971  -0.001941   0.002189   0.394986   0.441879  -0.039532&lt;br /&gt;
     6  C   -0.080358   0.002671  -0.001840   0.265658  -0.039532   5.462617&lt;br /&gt;
     7  H    0.001973   0.000058   0.002396  -0.050611   0.002173   0.393963&lt;br /&gt;
     8  H    0.000664  -0.000066   0.000083  -0.048368  -0.000048   0.383746&lt;br /&gt;
     9  C    0.000540  -0.000070   0.000012  -0.090462  -0.001726   0.248858&lt;br /&gt;
    10  H   -0.000026   0.000001  -0.000001   0.004085   0.000020  -0.044835&lt;br /&gt;
    11  H    0.000863  -0.000011   0.000046  -0.000314   0.000339  -0.041343&lt;br /&gt;
    12  C    0.000198   0.000001  -0.000001  -0.000169   0.004259  -0.091482&lt;br /&gt;
    13  H    0.000000   0.000000   0.000000   0.000154   0.000078   0.000039&lt;br /&gt;
    14  C    0.000054   0.000000   0.000000   0.000110   0.001674   0.000614&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000   0.000002   0.000035  -0.000071&lt;br /&gt;
    16  H    0.000004   0.000000   0.000000   0.000067   0.000050   0.000001&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C    0.001973   0.000664   0.000540  -0.000026   0.000863   0.000198&lt;br /&gt;
     2  H    0.000058  -0.000066  -0.000070   0.000001  -0.000011   0.000001&lt;br /&gt;
     3  H    0.002396   0.000083   0.000012  -0.000001   0.000046  -0.000001&lt;br /&gt;
     4  C   -0.050611  -0.048368  -0.090462   0.004085  -0.000314  -0.000169&lt;br /&gt;
     5  H    0.002173  -0.000048  -0.001726   0.000020   0.000339   0.004259&lt;br /&gt;
     6  C    0.393963   0.383746   0.248858  -0.044835  -0.041343  -0.091482&lt;br /&gt;
     7  H    0.491677  -0.023285  -0.037509  -0.002192  -0.000745   0.003525&lt;br /&gt;
     8  H   -0.023285   0.514255  -0.048716  -0.000457   0.003157  -0.001454&lt;br /&gt;
     9  C   -0.037509  -0.048716   5.455947   0.386854   0.388732   0.270158&lt;br /&gt;
    10  H   -0.002192  -0.000457   0.386854   0.503825  -0.021920  -0.048690&lt;br /&gt;
    11  H   -0.000745   0.003157   0.388732  -0.021920   0.489417  -0.048856&lt;br /&gt;
    12  C    0.003525  -0.001454   0.270158  -0.048690  -0.048856   5.288902&lt;br /&gt;
    13  H   -0.000037   0.001977  -0.040632  -0.000656   0.002209   0.397757&lt;br /&gt;
    14  C   -0.000048   0.000181  -0.078903   0.001061   0.001849   0.541976&lt;br /&gt;
    15  H    0.000001   0.000000   0.002579  -0.000063   0.000054  -0.051577&lt;br /&gt;
    16  H    0.000000   0.000006  -0.001786   0.000055   0.002247  -0.054379&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C    0.000000   0.000054   0.000000   0.000004&lt;br /&gt;
     2  H    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     3  H    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     4  C    0.000154   0.000110   0.000002   0.000067&lt;br /&gt;
     5  H    0.000078   0.001674   0.000035   0.000050&lt;br /&gt;
     6  C    0.000039   0.000614  -0.000071   0.000001&lt;br /&gt;
     7  H   -0.000037  -0.000048   0.000001   0.000000&lt;br /&gt;
     8  H    0.001977   0.000181   0.000000   0.000006&lt;br /&gt;
     9  C   -0.040632  -0.078903   0.002579  -0.001786&lt;br /&gt;
    10  H   -0.000656   0.001061  -0.000063   0.000055&lt;br /&gt;
    11  H    0.002209   0.001849   0.000054   0.002247&lt;br /&gt;
    12  C    0.397757   0.541976  -0.051577  -0.054379&lt;br /&gt;
    13  H    0.460405  -0.041057  -0.002096   0.002299&lt;br /&gt;
    14  C   -0.041057   5.195652   0.395994   0.399408&lt;br /&gt;
    15  H   -0.002096   0.395994   0.466343  -0.021369&lt;br /&gt;
    16  H    0.002299   0.399408  -0.021369   0.464952&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.421819&lt;br /&gt;
     2  H    0.208480&lt;br /&gt;
     3  H    0.201565&lt;br /&gt;
     4  C   -0.203818&lt;br /&gt;
     5  H    0.234535&lt;br /&gt;
     6  C   -0.458706&lt;br /&gt;
     7  H    0.218662&lt;br /&gt;
     8  H    0.218324&lt;br /&gt;
     9  C   -0.453879&lt;br /&gt;
    10  H    0.222939&lt;br /&gt;
    11  H    0.224276&lt;br /&gt;
    12  C   -0.210170&lt;br /&gt;
    13  H    0.219560&lt;br /&gt;
    14  C   -0.418564&lt;br /&gt;
    15  H    0.210168&lt;br /&gt;
    16  H    0.208447&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Atomic charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.011773&lt;br /&gt;
     2  H    0.000000&lt;br /&gt;
     3  H    0.000000&lt;br /&gt;
     4  C    0.030717&lt;br /&gt;
     5  H    0.000000&lt;br /&gt;
     6  C   -0.021720&lt;br /&gt;
     7  H    0.000000&lt;br /&gt;
     8  H    0.000000&lt;br /&gt;
     9  C   -0.006664&lt;br /&gt;
    10  H    0.000000&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    0.009390&lt;br /&gt;
    13  H    0.000000&lt;br /&gt;
    14  C    0.000050&lt;br /&gt;
    15  H    0.000000&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=   772.0068&lt;br /&gt;
 Charge=     0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=     0.1587    Y=     0.2969    Z=    -0.0518  Tot=     0.3406&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=   -40.0494   YY=   -37.4369   ZZ=   -39.2194&lt;br /&gt;
   XY=    -0.8892   XZ=    -2.1018   YZ=    -0.1634&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=    -1.1475   YY=     1.4650   ZZ=    -0.3175&lt;br /&gt;
   XY=    -0.8892   XZ=    -2.1018   YZ=    -0.1634&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=    -5.7510  YYY=    -0.4743  ZZZ=    -0.0853  XYY=    -0.1287&lt;br /&gt;
  XXY=    -4.9237  XXZ=     1.0494  XZZ=     4.0038  YZZ=     0.8153&lt;br /&gt;
  YYZ=     0.1324  XYZ=    -1.8099&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX=  -768.7747 YYYY=  -212.9181 ZZZZ=   -90.0040 XXXY=   -11.2089&lt;br /&gt;
 XXXZ=   -30.2966 YYYX=     2.8038 YYYZ=     1.4216 ZZZX=    -2.5801&lt;br /&gt;
 ZZZY=    -2.9694 XXYY=  -148.5206 XXZZ=  -145.8650 YYZZ=   -50.9630&lt;br /&gt;
 XXYZ=     1.3014 YYXZ=     0.0214 ZZXY=    -3.3511&lt;br /&gt;
 N-N= 2.176650904729D+02 E-N=-9.735469862427D+02  KE= 2.312810488118D+02&lt;br /&gt;
 Final structure in terms of initial Z-matrix:&lt;br /&gt;
 C&lt;br /&gt;
 H,1,B1&lt;br /&gt;
 H,1,B2,2,A1&lt;br /&gt;
 C,1,B3,3,A2,2,D1,0&lt;br /&gt;
 H,4,B4,1,A3,3,D2,0&lt;br /&gt;
 C,4,B5,1,A4,3,D3,0&lt;br /&gt;
 H,6,B6,4,A5,1,D4,0&lt;br /&gt;
 H,6,B7,4,A6,1,D5,0&lt;br /&gt;
 C,6,B8,4,A7,1,D6,0&lt;br /&gt;
 H,9,B9,6,A8,4,D7,0&lt;br /&gt;
 H,9,B10,6,A9,4,D8,0&lt;br /&gt;
 C,9,B11,6,A10,4,D9,0&lt;br /&gt;
 H,12,B12,9,A11,6,D10,0&lt;br /&gt;
 C,12,B13,9,A12,6,D11,0&lt;br /&gt;
 H,14,B14,12,A13,9,D12,0&lt;br /&gt;
 H,14,B15,12,A14,9,D13,0&lt;br /&gt;
      Variables:&lt;br /&gt;
 B1=1.07348401&lt;br /&gt;
 B2=1.07480462&lt;br /&gt;
 B3=1.31630829&lt;br /&gt;
 B4=1.07507455&lt;br /&gt;
 B5=1.50844011&lt;br /&gt;
 B6=1.08435915&lt;br /&gt;
 B7=1.08716847&lt;br /&gt;
 B8=1.55326839&lt;br /&gt;
 B9=1.0867077&lt;br /&gt;
 B10=1.08362648&lt;br /&gt;
 B11=1.50923346&lt;br /&gt;
 B12=1.07725601&lt;br /&gt;
 B13=1.31647467&lt;br /&gt;
 B14=1.07345064&lt;br /&gt;
 B15=1.07446565&lt;br /&gt;
 A1=116.26163031&lt;br /&gt;
 A2=121.96163785&lt;br /&gt;
 A3=119.91240304&lt;br /&gt;
 A4=124.53450618&lt;br /&gt;
 A5=109.74445939&lt;br /&gt;
 A6=109.72717519&lt;br /&gt;
 A7=111.7744105&lt;br /&gt;
 A8=108.45836554&lt;br /&gt;
 A9=109.18851494&lt;br /&gt;
 A10=111.8663534&lt;br /&gt;
 A11=115.29640223&lt;br /&gt;
 A12=125.0303029&lt;br /&gt;
 A13=121.8442524&lt;br /&gt;
 A14=121.78032536&lt;br /&gt;
 D1=179.91700025&lt;br /&gt;
 D2=179.68108266&lt;br /&gt;
 D3=0.64525322&lt;br /&gt;
 D4=-0.61473665&lt;br /&gt;
 D5=-118.56552447&lt;br /&gt;
 D6=120.84413779&lt;br /&gt;
 D7=-171.97699545&lt;br /&gt;
 D8=-54.66707678&lt;br /&gt;
 D9=67.68779979&lt;br /&gt;
 D10=62.49258217&lt;br /&gt;
 D11=-117.18503702&lt;br /&gt;
 D12=179.84864817&lt;br /&gt;
 D13=-0.32991323&lt;br /&gt;
 1|1|UNPC-UNK|FOpt|RHF|3-21G|C6H10|PCUSER|18-Mar-2010|0||# opt hf/3-21g&lt;br /&gt;
  geom=connectivity||Title Card Required||0,1|C,-0.2492221893,-0.382769&lt;br /&gt;
 1403,0.0214226706|H,-0.2428951003,-0.3212119877,1.0931216023|H,0.41713&lt;br /&gt;
 69815,-1.1028427415,-0.4175129006|C,-1.0290080576,0.382912743,-0.71228&lt;br /&gt;
 89748|H,-1.6868663694,1.0888206653,-0.2382618209|C,-1.0969383364,0.340&lt;br /&gt;
 4111729,-2.2185992584|H,-0.4032308912,-0.4027965681,-2.5957557158|H,-0&lt;br /&gt;
 .7993014247,1.3031294461,-2.6266692032|C,-2.5286489224,0.0091305693,-2&lt;br /&gt;
 .7216903522|H,-2.4878887387,-0.1485989941,-3.79611746|H,-2.8628845678,&lt;br /&gt;
 -0.9137154818,-2.2624648629|C,-3.5012095648,1.1240477595,-2.4235777948&lt;br /&gt;
 |H,-3.2838932972,2.0645844309,-2.901746085|C,-4.5536457907,1.019313285&lt;br /&gt;
 1,-1.6396682089|H,-5.2116788382,1.8484313833,-1.4611970418|H,-4.802021&lt;br /&gt;
 6472,0.0979112902,-1.1459028394||Version=IA32W-G03RevE.01|State=1-A|HF&lt;br /&gt;
 =-231.6926612|RMSD=8.300e-009|RMSF=4.881e-006|Thermal=0.|Dipole=-0.004&lt;br /&gt;
 1089,0.0220789,-0.1321104|PG=C01 [X(C6H10)]||@&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 IF MATHEMATICALLY YOU END UP WITH THE INCORRECT ANSWER,&lt;br /&gt;
 TRY MULTIPLYING BY THE PAGE NUMBER.&lt;br /&gt;
 Job cpu time:  0 days  0 hours  2 minutes  2.0 seconds.&lt;br /&gt;
 File lengths (MBytes):  RWF=     16 Int=      0 D2E=      0 Chk=      7 Scr=      1&lt;br /&gt;
 Normal termination of Gaussian 03 at Thu Mar 18 12:32:46 2010.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iiiioopp&amp;diff=108508</id>
		<title>Rep:Mod:iiiioopp</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:iiiioopp&amp;diff=108508"/>
		<updated>2010-03-26T12:04:28Z</updated>

		<summary type="html">&lt;p&gt;Tb607: New page:  Entering Link 1 = C:\G03W\l1.exe PID=      4464.     Copyright (c) 1988,1990,1992,1993,1995,1998,2003,2004,2007, Gaussian, Inc.                   All Rights Reserved.     This is the Gaus...&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt; Entering Link 1 = C:\G03W\l1.exe PID=      4464.&lt;br /&gt;
  &lt;br /&gt;
 Copyright (c) 1988,1990,1992,1993,1995,1998,2003,2004,2007, Gaussian, Inc.&lt;br /&gt;
                  All Rights Reserved.&lt;br /&gt;
  &lt;br /&gt;
 This is the Gaussian(R) 03 program.  It is based on the&lt;br /&gt;
 the Gaussian(R) 98 system (copyright 1998, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian(R) 94 system (copyright 1995, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 92(TM) system (copyright 1992, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 90(TM) system (copyright 1990, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 88(TM) system (copyright 1988, Gaussian, Inc.),&lt;br /&gt;
 the Gaussian 86(TM) system (copyright 1986, Carnegie Mellon&lt;br /&gt;
 University), and the Gaussian 82(TM) system (copyright 1983,&lt;br /&gt;
 Carnegie Mellon University). Gaussian is a federally registered&lt;br /&gt;
 trademark of Gaussian, Inc.&lt;br /&gt;
  &lt;br /&gt;
 This software contains proprietary and confidential information,&lt;br /&gt;
 including trade secrets, belonging to Gaussian, Inc.&lt;br /&gt;
  &lt;br /&gt;
 This software is provided under written license and may be&lt;br /&gt;
 used, copied, transmitted, or stored only in accord with that&lt;br /&gt;
 written license.&lt;br /&gt;
  &lt;br /&gt;
 The following legend is applicable only to US Government&lt;br /&gt;
 contracts under FAR:&lt;br /&gt;
  &lt;br /&gt;
                    RESTRICTED RIGHTS LEGEND&lt;br /&gt;
  &lt;br /&gt;
 Use, reproduction and disclosure by the US Government is&lt;br /&gt;
 subject to restrictions as set forth in subparagraphs (a)&lt;br /&gt;
 and (c) of the Commercial Computer Software - Restricted&lt;br /&gt;
 Rights clause in FAR 52.227-19.&lt;br /&gt;
  &lt;br /&gt;
 Gaussian, Inc.&lt;br /&gt;
 340 Quinnipiac St., Bldg. 40, Wallingford CT 06492&lt;br /&gt;
  &lt;br /&gt;
  &lt;br /&gt;
 ---------------------------------------------------------------&lt;br /&gt;
 Warning -- This program may not be used in any manner that&lt;br /&gt;
 competes with the business of Gaussian, Inc. or will provide&lt;br /&gt;
 assistance to any competitor of Gaussian, Inc.  The licensee&lt;br /&gt;
 of this program is prohibited from giving any competitor of&lt;br /&gt;
 Gaussian, Inc. access to this program.  By using this program,&lt;br /&gt;
 the user acknowledges that Gaussian, Inc. is engaged in the&lt;br /&gt;
 business of creating and licensing software in the field of&lt;br /&gt;
 computational chemistry and represents and warrants to the&lt;br /&gt;
 licensee that it is not a competitor of Gaussian, Inc. and that&lt;br /&gt;
 it will not use this program in any manner prohibited above.&lt;br /&gt;
 ---------------------------------------------------------------&lt;br /&gt;
  &lt;br /&gt;
&lt;br /&gt;
 Cite this work as:&lt;br /&gt;
 Gaussian 03, Revision E.01,&lt;br /&gt;
 M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, &lt;br /&gt;
 M. A. Robb, J. R. Cheeseman, J. A. Montgomery, Jr., T. Vreven, &lt;br /&gt;
 K. N. Kudin, J. C. Burant, J. M. Millam, S. S. Iyengar, J. Tomasi, &lt;br /&gt;
 V. Barone, B. Mennucci, M. Cossi, G. Scalmani, N. Rega, &lt;br /&gt;
 G. A. Petersson, H. Nakatsuji, M. Hada, M. Ehara, K. Toyota, &lt;br /&gt;
 R. Fukuda, J. Hasegawa, M. Ishida, T. Nakajima, Y. Honda, O. Kitao, &lt;br /&gt;
 H. Nakai, M. Klene, X. Li, J. E. Knox, H. P. Hratchian, J. B. Cross, &lt;br /&gt;
 V. Bakken, C. Adamo, J. Jaramillo, R. Gomperts, R. E. Stratmann, &lt;br /&gt;
 O. Yazyev, A. J. Austin, R. Cammi, C. Pomelli, J. W. Ochterski, &lt;br /&gt;
 P. Y. Ayala, K. Morokuma, G. A. Voth, P. Salvador, J. J. Dannenberg, &lt;br /&gt;
 V. G. Zakrzewski, S. Dapprich, A. D. Daniels, M. C. Strain, &lt;br /&gt;
 O. Farkas, D. K. Malick, A. D. Rabuck, K. Raghavachari, &lt;br /&gt;
 J. B. Foresman, J. V. Ortiz, Q. Cui, A. G. Baboul, S. Clifford, &lt;br /&gt;
 J. Cioslowski, B. B. Stefanov, G. Liu, A. Liashenko, P. Piskorz, &lt;br /&gt;
 I. Komaromi, R. L. Martin, D. J. Fox, T. Keith, M. A. Al-Laham, &lt;br /&gt;
 C. Y. Peng, A. Nanayakkara, M. Challacombe, P. M. W. Gill, &lt;br /&gt;
 B. Johnson, W. Chen, M. W. Wong, C. Gonzalez, and J. A. Pople, &lt;br /&gt;
 Gaussian, Inc., Wallingford CT, 2004.&lt;br /&gt;
 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 Gaussian 03:  IA32W-G03RevE.01 11-Sep-2007&lt;br /&gt;
                18-Mar-2010 &lt;br /&gt;
 ******************************************&lt;br /&gt;
 %chk=anti_first_attempt.chk&lt;br /&gt;
 %mem=6MW&lt;br /&gt;
 %nproc=1&lt;br /&gt;
 Will use up to    1 processors via shared memory.&lt;br /&gt;
 --------------------------------&lt;br /&gt;
 # opt hf/3-21g geom=connectivity&lt;br /&gt;
 --------------------------------&lt;br /&gt;
 1/18=20,38=1,57=2/1,3;&lt;br /&gt;
 2/9=110,17=6,18=5,40=1/2;&lt;br /&gt;
 3/5=5,11=9,16=1,25=1,30=1/1,2,3;&lt;br /&gt;
 4//1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,28=1/1;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/18=20/3(3);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,19=2,28=1/1;&lt;br /&gt;
 99//99;&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 3/5=5,11=9,16=1,25=1,30=1/1,2,3;&lt;br /&gt;
 4/5=5,16=3/1;&lt;br /&gt;
 5/5=2,38=5/2;&lt;br /&gt;
 7//1,2,3,16;&lt;br /&gt;
 1/18=20/3(-5);&lt;br /&gt;
 2/9=110/2;&lt;br /&gt;
 6/7=2,8=2,9=2,10=2,19=2,28=1/1;&lt;br /&gt;
 99/9=1/99;&lt;br /&gt;
 ---------&lt;br /&gt;
 Antifirst&lt;br /&gt;
 ---------&lt;br /&gt;
 Symbolic Z-matrix:&lt;br /&gt;
 Charge =  0 Multiplicity = 1&lt;br /&gt;
 C&lt;br /&gt;
 H                    1    B1&lt;br /&gt;
 H                    1    B2       2    A1&lt;br /&gt;
 C                    1    B3       3    A2       2    D1       0&lt;br /&gt;
 H                    4    B4       1    A3       3    D2       0&lt;br /&gt;
 C                    4    B5       1    A4       3    D3       0&lt;br /&gt;
 H                    6    B6       4    A5       1    D4       0&lt;br /&gt;
 H                    6    B7       4    A6       1    D5       0&lt;br /&gt;
 C                    6    B8       4    A7       1    D6       0&lt;br /&gt;
 H                    9    B9       6    A8       4    D7       0&lt;br /&gt;
 H                    9    B10      6    A9       4    D8       0&lt;br /&gt;
 C                    9    B11      6    A10      4    D9       0&lt;br /&gt;
 H                    12   B12      9    A11      6    D10      0&lt;br /&gt;
 C                    12   B13      9    A12      6    D11      0&lt;br /&gt;
 H                    14   B14      12   A13      9    D12      0&lt;br /&gt;
 H                    14   B15      12   A14      9    D13      0&lt;br /&gt;
       Variables:&lt;br /&gt;
  B1                    1.07                     &lt;br /&gt;
  B2                    1.07                     &lt;br /&gt;
  B3                    1.3552                   &lt;br /&gt;
  B4                    1.07                     &lt;br /&gt;
  B5                    1.54                     &lt;br /&gt;
  B6                    1.07                     &lt;br /&gt;
  B7                    1.07                     &lt;br /&gt;
  B8                    1.54                     &lt;br /&gt;
  B9                    1.07                     &lt;br /&gt;
  B10                   1.07                     &lt;br /&gt;
  B11                   1.54                     &lt;br /&gt;
  B12                   1.07                     &lt;br /&gt;
  B13                   1.3552                   &lt;br /&gt;
  B14                   1.07                     &lt;br /&gt;
  B15                   1.07                     &lt;br /&gt;
  A1                  119.88653                  &lt;br /&gt;
  A2                  119.88653                  &lt;br /&gt;
  A3                  120.22695                  &lt;br /&gt;
  A4                  119.88653                  &lt;br /&gt;
  A5                  109.4712                   &lt;br /&gt;
  A6                  109.47123                  &lt;br /&gt;
  A7                  109.4712                   &lt;br /&gt;
  A8                  109.4712                   &lt;br /&gt;
  A9                  109.47123                  &lt;br /&gt;
  A10                 109.4712                   &lt;br /&gt;
  A11                 119.88653                  &lt;br /&gt;
  A12                 120.22695                  &lt;br /&gt;
  A13                 120.22695                  &lt;br /&gt;
  A14                 119.88653                  &lt;br /&gt;
  D1                  180.                       &lt;br /&gt;
  D2                    0.                       &lt;br /&gt;
  D3                  180.                       &lt;br /&gt;
  D4                   59.98889                  &lt;br /&gt;
  D5                  -60.0111                   &lt;br /&gt;
  D6                  179.98891                  &lt;br /&gt;
  D7                   59.88889                  &lt;br /&gt;
  D8                  -60.1111                   &lt;br /&gt;
  D9                  179.88891                  &lt;br /&gt;
  D10                  -0.03678                  &lt;br /&gt;
  D11                 179.96322                  &lt;br /&gt;
  D12                   0.                       &lt;br /&gt;
  D13                 180.                       &lt;br /&gt;
 &lt;br /&gt;
     6 tetrahedral angles replaced.&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Initialization pass.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !    Initial Parameters    !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R2    R(1,3)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R3    R(1,4)                  1.3552         estimate D2E/DX2                !&lt;br /&gt;
 ! R4    R(4,5)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R5    R(4,6)                  1.54           estimate D2E/DX2                !&lt;br /&gt;
 ! R6    R(6,7)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R7    R(6,8)                  1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R8    R(6,9)                  1.54           estimate D2E/DX2                !&lt;br /&gt;
 ! R9    R(9,10)                 1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R10   R(9,11)                 1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R11   R(9,12)                 1.54           estimate D2E/DX2                !&lt;br /&gt;
 ! R12   R(12,13)                1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R13   R(12,14)                1.3552         estimate D2E/DX2                !&lt;br /&gt;
 ! R14   R(14,15)                1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! R15   R(14,16)                1.07           estimate D2E/DX2                !&lt;br /&gt;
 ! A1    A(2,1,3)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A2    A(2,1,4)              120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A3    A(3,1,4)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A4    A(1,4,5)              120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A5    A(1,4,6)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A6    A(5,4,6)              119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A7    A(4,6,7)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A8    A(4,6,8)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A9    A(4,6,9)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A10   A(7,6,8)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A11   A(7,6,9)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A12   A(8,6,9)              109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A13   A(6,9,10)             109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A14   A(6,9,11)             109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A15   A(6,9,12)             109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A16   A(10,9,11)            109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A17   A(10,9,12)            109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A18   A(11,9,12)            109.4712         estimate D2E/DX2                !&lt;br /&gt;
 ! A19   A(9,12,13)            119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A20   A(9,12,14)            120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A21   A(13,12,14)           119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A22   A(12,14,15)           120.2269         estimate D2E/DX2                !&lt;br /&gt;
 ! A23   A(12,14,16)           119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! A24   A(15,14,16)           119.8865         estimate D2E/DX2                !&lt;br /&gt;
 ! D1    D(2,1,4,5)            180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D2    D(2,1,4,6)              0.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D3    D(3,1,4,5)              0.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D4    D(3,1,4,6)            180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D5    D(1,4,6,7)             59.9889         estimate D2E/DX2                !&lt;br /&gt;
 ! D6    D(1,4,6,8)            -60.0111         estimate D2E/DX2                !&lt;br /&gt;
 ! D7    D(1,4,6,9)            179.9889         estimate D2E/DX2                !&lt;br /&gt;
 ! D8    D(5,4,6,7)           -120.0111         estimate D2E/DX2                !&lt;br /&gt;
 ! D9    D(5,4,6,8)            119.9889         estimate D2E/DX2                !&lt;br /&gt;
 ! D10   D(5,4,6,9)             -0.0111         estimate D2E/DX2                !&lt;br /&gt;
 ! D11   D(4,6,9,10)            59.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D12   D(4,6,9,11)           -60.1111         estimate D2E/DX2                !&lt;br /&gt;
 ! D13   D(4,6,9,12)           179.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D14   D(7,6,9,10)           179.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D15   D(7,6,9,11)            59.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D16   D(7,6,9,12)           -60.1111         estimate D2E/DX2                !&lt;br /&gt;
 ! D17   D(8,6,9,10)           -60.1111         estimate D2E/DX2                !&lt;br /&gt;
 ! D18   D(8,6,9,11)           179.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D19   D(8,6,9,12)            59.8889         estimate D2E/DX2                !&lt;br /&gt;
 ! D20   D(6,9,12,13)           -0.0368         estimate D2E/DX2                !&lt;br /&gt;
 ! D21   D(6,9,12,14)          179.9632         estimate D2E/DX2                !&lt;br /&gt;
 ! D22   D(10,9,12,13)         119.9632         estimate D2E/DX2                !&lt;br /&gt;
 ! D23   D(10,9,12,14)         -60.0368         estimate D2E/DX2                !&lt;br /&gt;
 ! D24   D(11,9,12,13)        -120.0368         estimate D2E/DX2                !&lt;br /&gt;
 ! D25   D(11,9,12,14)          59.9632         estimate D2E/DX2                !&lt;br /&gt;
 ! D26   D(9,12,14,15)           0.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D27   D(9,12,14,16)         180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D28   D(13,12,14,15)        180.0            estimate D2E/DX2                !&lt;br /&gt;
 ! D29   D(13,12,14,16)          0.0            estimate D2E/DX2                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 Trust Radius=3.00D-01 FncErr=1.00D-07 GrdErr=1.00D-07&lt;br /&gt;
 Number of steps in this run=  78 maximum allowed number of steps= 100.&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.000000    0.000000    0.000000&lt;br /&gt;
    2          1             0        0.000000    0.000000    1.070000&lt;br /&gt;
    3          1             0        0.927705    0.000000   -0.533164&lt;br /&gt;
    4          6             0       -1.170944    0.000000   -0.682243&lt;br /&gt;
    5          1             0       -1.170944    0.000000   -1.752243&lt;br /&gt;
    6          6             0       -2.506146    0.000000    0.085114&lt;br /&gt;
    7          1             0       -2.563961    0.873554    0.700306&lt;br /&gt;
    8          1             0       -2.564129   -0.873749    0.700013&lt;br /&gt;
    9          6             0       -3.674684    0.000281   -0.917941&lt;br /&gt;
   10          1             0       -3.615767   -0.872293   -1.534417&lt;br /&gt;
   11          1             0       -3.617805    0.875006   -1.531553&lt;br /&gt;
   12          6             0       -5.009884   -0.002534   -0.150586&lt;br /&gt;
   13          1             0       -5.009883   -0.004883    0.919412&lt;br /&gt;
   14          6             0       -6.184862   -0.002046   -0.825859&lt;br /&gt;
   15          1             0       -6.191221    0.000298   -1.895838&lt;br /&gt;
   16          1             0       -7.109382   -0.004012   -0.287195&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.070000   0.000000&lt;br /&gt;
     3  H    1.070000   1.852234   0.000000&lt;br /&gt;
     4  C    1.355200   2.107479   2.103938   0.000000&lt;br /&gt;
     5  H    2.107479   3.055514   2.427032   1.070000   0.000000&lt;br /&gt;
     6  C    2.507591   2.692725   3.489068   1.540000   2.271265&lt;br /&gt;
     7  H    2.797753   2.733800   3.804770   2.148263   2.952726&lt;br /&gt;
     8  H    2.797895   2.734061   3.804874   2.148263   2.952619&lt;br /&gt;
     9  C    3.787601   4.177944   4.618446   2.514809   2.639086&lt;br /&gt;
    10  H    4.023568   4.540666   4.733554   2.732078   2.604899&lt;br /&gt;
    11  H    4.024898   4.541170   4.735407   2.733878   2.607962&lt;br /&gt;
    12  C    5.012148   5.156431   5.949902   3.875581   4.159660&lt;br /&gt;
    13  H    5.093552   5.012148   6.112687   4.159660   4.677094&lt;br /&gt;
    14  C    6.239757   6.468911   7.118587   5.015974   5.098780&lt;br /&gt;
    15  H    6.474984   6.864941   7.248171   5.164880   5.022330&lt;br /&gt;
    16  H    7.115181   7.237769   8.040851   5.951564   6.116488&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.070000   0.000000&lt;br /&gt;
     8  H    1.070000   1.747303   0.000000&lt;br /&gt;
     9  C    1.540000   2.148263   2.148263   0.000000&lt;br /&gt;
    10  H    2.148263   3.024610   2.469538   1.070000   0.000000&lt;br /&gt;
    11  H    2.148263   2.468154   3.024609   1.070000   1.747303&lt;br /&gt;
    12  C    2.514809   2.733878   2.732078   1.540000   2.148263&lt;br /&gt;
    13  H    2.639086   2.608102   2.604760   2.271265   2.952496&lt;br /&gt;
    14  C    3.789832   4.025765   4.024656   2.511867   2.803504&lt;br /&gt;
    15  H    4.183772   4.545278   4.545128   2.699859   2.743174&lt;br /&gt;
    16  H    4.618269   4.733512   4.731843   3.492135   3.809833&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.148263   0.000000&lt;br /&gt;
    13  H    2.952849   1.070000   0.000000&lt;br /&gt;
    14  C    2.803036   1.355200   2.103938   0.000000&lt;br /&gt;
    15  H    2.742314   2.107479   3.053066   1.070000   0.000000&lt;br /&gt;
    16  H    3.809490   2.103938   2.421527   1.070000   1.852234&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        3.115692   -0.142059   -0.000370&lt;br /&gt;
    2          1             0        3.209643   -1.207926    0.000749&lt;br /&gt;
    3          1             0        3.993000    0.470501   -0.001377&lt;br /&gt;
    4          6             0        1.889366    0.434735   -0.000517&lt;br /&gt;
    5          1             0        1.795415    1.500602   -0.001636&lt;br /&gt;
    6          6             0        0.626699   -0.446894    0.000933&lt;br /&gt;
    7          1             0        0.623466   -1.063839    0.875157&lt;br /&gt;
    8          1             0        0.622589   -1.065456   -0.872144&lt;br /&gt;
    9          6             0       -0.625398    0.449684    0.000731&lt;br /&gt;
   10          1             0       -0.621178    1.068006   -0.872516&lt;br /&gt;
   11          1             0       -0.622275    1.066869    0.874786&lt;br /&gt;
   12          6             0       -1.888065   -0.431946   -0.000635&lt;br /&gt;
   13          1             0       -1.794114   -1.497813   -0.001865&lt;br /&gt;
   14          6             0       -3.117797    0.137552   -0.000284&lt;br /&gt;
   15          1             0       -3.218079    1.202841    0.000943&lt;br /&gt;
   16          1             0       -3.991449   -0.480211   -0.001239&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     19.9217850      1.2884474      1.2282791&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       210.5728311453 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state of the initial guess is 1-A.&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.677460404     A.U. after   11 cycles&lt;br /&gt;
             Convg  =    0.4655D-08             -V/T =  2.0023&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.17727 -11.17718 -11.16564 -11.16543 -11.15950&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.15943  -1.09367  -1.04155  -0.97222  -0.85509&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.77484  -0.75051  -0.63996  -0.63492  -0.61805&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.58769  -0.55963  -0.52220  -0.50140  -0.48900&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.45673  -0.35327  -0.35168&lt;br /&gt;
 Alpha virt. eigenvalues --    0.16392   0.18999   0.28293   0.29563   0.30516&lt;br /&gt;
 Alpha virt. eigenvalues --    0.31525   0.32394   0.34201   0.36251   0.37114&lt;br /&gt;
 Alpha virt. eigenvalues --    0.39507   0.42045   0.45161   0.46760   0.50818&lt;br /&gt;
 Alpha virt. eigenvalues --    0.57529   0.57781   0.88737   0.89937   0.94297&lt;br /&gt;
 Alpha virt. eigenvalues --    0.95782   0.99957   1.00073   1.03413   1.05521&lt;br /&gt;
 Alpha virt. eigenvalues --    1.06837   1.09101   1.09867   1.10194   1.14873&lt;br /&gt;
 Alpha virt. eigenvalues --    1.19883   1.22273   1.29187   1.33241   1.34050&lt;br /&gt;
 Alpha virt. eigenvalues --    1.37848   1.39301   1.41284   1.41507   1.43973&lt;br /&gt;
 Alpha virt. eigenvalues --    1.44217   1.46545   1.58967   1.64525   1.66150&lt;br /&gt;
 Alpha virt. eigenvalues --    1.74274   1.76094   2.01719   2.05456   2.15370&lt;br /&gt;
 Alpha virt. eigenvalues --    2.63621&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    5.217143   0.400636   0.393933   0.540814  -0.038977  -0.088477&lt;br /&gt;
     2  H    0.400636   0.463108  -0.019126  -0.054188   0.001948  -0.001182&lt;br /&gt;
     3  H    0.393933  -0.019126   0.464591  -0.050558  -0.001372   0.002584&lt;br /&gt;
     4  C    0.540814  -0.054188  -0.050558   5.282972   0.400138   0.272573&lt;br /&gt;
     5  H   -0.038977   0.001948  -0.001372   0.400138   0.445525  -0.033161&lt;br /&gt;
     6  C   -0.088477  -0.001182   0.002584   0.272573  -0.033161   5.445484&lt;br /&gt;
     7  H   -0.001819   0.000752  -0.000015  -0.044598   0.001586   0.387898&lt;br /&gt;
     8  H   -0.001822   0.000751  -0.000015  -0.044612   0.001586   0.387928&lt;br /&gt;
     9  C    0.003483   0.000009  -0.000070  -0.075986  -0.003163   0.243210&lt;br /&gt;
    10  H    0.000055   0.000002   0.000000  -0.000681   0.001105  -0.044344&lt;br /&gt;
    11  H    0.000054   0.000002   0.000000  -0.000662   0.001095  -0.044310&lt;br /&gt;
    12  C   -0.000074   0.000001   0.000000   0.004547   0.000062  -0.076016&lt;br /&gt;
    13  H   -0.000001   0.000000   0.000000   0.000063   0.000002  -0.003190&lt;br /&gt;
    14  C    0.000000   0.000000   0.000000  -0.000073  -0.000001   0.003433&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000   0.000001   0.000000   0.000007&lt;br /&gt;
    16  H    0.000000   0.000000   0.000000   0.000000   0.000000  -0.000070&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C   -0.001819  -0.001822   0.003483   0.000055   0.000054  -0.000074&lt;br /&gt;
     2  H    0.000752   0.000751   0.000009   0.000002   0.000002   0.000001&lt;br /&gt;
     3  H   -0.000015  -0.000015  -0.000070   0.000000   0.000000   0.000000&lt;br /&gt;
     4  C   -0.044598  -0.044612  -0.075986  -0.000681  -0.000662   0.004547&lt;br /&gt;
     5  H    0.001586   0.001586  -0.003163   0.001105   0.001095   0.000062&lt;br /&gt;
     6  C    0.387898   0.387928   0.243210  -0.044344  -0.044310  -0.076016&lt;br /&gt;
     7  H    0.489302  -0.023796  -0.044288   0.003149  -0.001928  -0.000664&lt;br /&gt;
     8  H   -0.023796   0.489343  -0.044319  -0.001909   0.003149  -0.000684&lt;br /&gt;
     9  C   -0.044288  -0.044319   5.445056   0.387899   0.387880   0.272328&lt;br /&gt;
    10  H    0.003149  -0.001909   0.387899   0.489319  -0.023774  -0.044598&lt;br /&gt;
    11  H   -0.001928   0.003149   0.387880  -0.023774   0.489275  -0.044583&lt;br /&gt;
    12  C   -0.000664  -0.000684   0.272328  -0.044598  -0.044583   5.282220&lt;br /&gt;
    13  H    0.001095   0.001106  -0.033218   0.001589   0.001589   0.400222&lt;br /&gt;
    14  C    0.000054   0.000055  -0.087214  -0.001785  -0.001781   0.540937&lt;br /&gt;
    15  H    0.000002   0.000002  -0.001119   0.000744   0.000746  -0.054170&lt;br /&gt;
    16  H    0.000000   0.000000   0.002550  -0.000016  -0.000015  -0.050573&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C   -0.000001   0.000000   0.000000   0.000000&lt;br /&gt;
     2  H    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     3  H    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     4  C    0.000063  -0.000073   0.000001   0.000000&lt;br /&gt;
     5  H    0.000002  -0.000001   0.000000   0.000000&lt;br /&gt;
     6  C   -0.003190   0.003433   0.000007  -0.000070&lt;br /&gt;
     7  H    0.001095   0.000054   0.000002   0.000000&lt;br /&gt;
     8  H    0.001106   0.000055   0.000002   0.000000&lt;br /&gt;
     9  C   -0.033218  -0.087214  -0.001119   0.002550&lt;br /&gt;
    10  H    0.001589  -0.001785   0.000744  -0.000016&lt;br /&gt;
    11  H    0.001589  -0.001781   0.000746  -0.000015&lt;br /&gt;
    12  C    0.400222   0.540937  -0.054170  -0.050573&lt;br /&gt;
    13  H    0.446520  -0.039649   0.001977  -0.001389&lt;br /&gt;
    14  C   -0.039649   5.217029   0.400391   0.394075&lt;br /&gt;
    15  H    0.001977   0.400391   0.463423  -0.019114&lt;br /&gt;
    16  H   -0.001389   0.394075  -0.019114   0.464396&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.424948&lt;br /&gt;
     2  H    0.207287&lt;br /&gt;
     3  H    0.210048&lt;br /&gt;
     4  C   -0.229750&lt;br /&gt;
     5  H    0.223627&lt;br /&gt;
     6  C   -0.452369&lt;br /&gt;
     7  H    0.233270&lt;br /&gt;
     8  H    0.233237&lt;br /&gt;
     9  C   -0.453037&lt;br /&gt;
    10  H    0.233245&lt;br /&gt;
    11  H    0.233264&lt;br /&gt;
    12  C   -0.228956&lt;br /&gt;
    13  H    0.223285&lt;br /&gt;
    14  C   -0.425470&lt;br /&gt;
    15  H    0.207112&lt;br /&gt;
    16  H    0.210157&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Atomic charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.007613&lt;br /&gt;
     2  H    0.000000&lt;br /&gt;
     3  H    0.000000&lt;br /&gt;
     4  C   -0.006123&lt;br /&gt;
     5  H    0.000000&lt;br /&gt;
     6  C    0.014138&lt;br /&gt;
     7  H    0.000000&lt;br /&gt;
     8  H    0.000000&lt;br /&gt;
     9  C    0.013471&lt;br /&gt;
    10  H    0.000000&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C   -0.005671&lt;br /&gt;
    13  H    0.000000&lt;br /&gt;
    14  C   -0.008202&lt;br /&gt;
    15  H    0.000000&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=   962.2110&lt;br /&gt;
 Charge=     0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=     0.0032    Y=     0.0005    Z=     0.0004  Tot=     0.0033&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=   -39.2528   YY=   -35.9445   ZZ=   -42.4338&lt;br /&gt;
   XY=    -0.0489   XZ=    -0.0003   YZ=     0.0004&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=    -0.0424   YY=     3.2659   ZZ=    -3.2234&lt;br /&gt;
   XY=    -0.0489   XZ=    -0.0003   YZ=     0.0004&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=    -0.0257  YYY=     0.0051  ZZZ=     0.0119  XYY=     0.0081&lt;br /&gt;
  XXY=    -0.0355  XXZ=    -0.0106  XZZ=     0.0040  YZZ=     0.0038&lt;br /&gt;
  YYZ=    -0.0055  XYZ=    -0.0214&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX= -1105.5019 YYYY=  -108.0133 ZZZZ=   -56.3872 XXXY=     8.3364&lt;br /&gt;
 XXXZ=    -0.0086 YYYX=    -0.4561 YYYZ=     0.0018 ZZZX=     0.0003&lt;br /&gt;
 ZZZY=    -0.0007 XXYY=  -196.7066 XXZZ=  -235.7205 YYZZ=   -27.9860&lt;br /&gt;
 XXYZ=     0.0019 YYXZ=    -0.0005 ZZXY=    -2.2212&lt;br /&gt;
 N-N= 2.105728311453D+02 E-N=-9.592212101223D+02  KE= 2.311343585387D+02&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.041711432    0.000000676   -0.035732760&lt;br /&gt;
    2          1           0.004272993    0.000000993    0.002412248&lt;br /&gt;
    3          1           0.004649509   -0.000001860    0.003698089&lt;br /&gt;
    4          6           0.038513857    0.000011027    0.048865000&lt;br /&gt;
    5          1          -0.002953092   -0.000000067   -0.002601763&lt;br /&gt;
    6          6           0.011384679    0.000014691   -0.036079539&lt;br /&gt;
    7          1          -0.000508825    0.007363085    0.006815579&lt;br /&gt;
    8          1          -0.000499137   -0.007376031    0.006799914&lt;br /&gt;
    9          6          -0.011931683   -0.000066332    0.035861343&lt;br /&gt;
   10          1           0.000499459   -0.007374107   -0.006845156&lt;br /&gt;
   11          1           0.000490671    0.007384522   -0.006834483&lt;br /&gt;
   12          6          -0.039099190    0.000081678   -0.047674786&lt;br /&gt;
   13          1           0.003394815   -0.000004560    0.002736108&lt;br /&gt;
   14          6           0.042437712   -0.000038776    0.034646217&lt;br /&gt;
   15          1          -0.004345275    0.000003450   -0.002437817&lt;br /&gt;
   16          1          -0.004595060    0.000001611   -0.003628193&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.048865000 RMS     0.018879138&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.043283752 RMS     0.009121870&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   1 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Second derivative matrix not updated -- first step.&lt;br /&gt;
     Eigenvalues ---    0.00237   0.00237   0.00237   0.01215   0.01219&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02681   0.02681   0.02681   0.04356&lt;br /&gt;
     Eigenvalues ---    0.04356   0.05410   0.05410   0.08669   0.08669&lt;br /&gt;
     Eigenvalues ---    0.12376   0.12376   0.16000   0.16000   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16000   0.21983   0.21983&lt;br /&gt;
     Eigenvalues ---    0.22000   0.22000   0.28519   0.28519   0.28519&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.53930   0.539301000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.47236998D-02.&lt;br /&gt;
 Linear search not attempted -- first point.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.03410790 RMS(Int)=  0.00063365&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00144504 RMS(Int)=  0.00011051&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000025 RMS(Int)=  0.00011051&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02201   0.00241   0.00000   0.00623   0.00623   2.02824&lt;br /&gt;
    R2        2.02201   0.00219   0.00000   0.00565   0.00565   2.02766&lt;br /&gt;
    R3        2.56096  -0.04324   0.00000  -0.07805  -0.07805   2.48290&lt;br /&gt;
    R4        2.02201   0.00260   0.00000   0.00672   0.00672   2.02873&lt;br /&gt;
    R5        2.91018  -0.00589   0.00000  -0.01963  -0.01963   2.89054&lt;br /&gt;
    R6        2.02201   0.00996   0.00000   0.02573   0.02573   2.04773&lt;br /&gt;
    R7        2.02201   0.00996   0.00000   0.02573   0.02573   2.04774&lt;br /&gt;
    R8        2.91018   0.00618   0.00000   0.02062   0.02062   2.93080&lt;br /&gt;
    R9        2.02201   0.00998   0.00000   0.02580   0.02580   2.04781&lt;br /&gt;
   R10        2.02201   0.00998   0.00000   0.02579   0.02579   2.04780&lt;br /&gt;
   R11        2.91018  -0.00624   0.00000  -0.02080  -0.02080   2.88938&lt;br /&gt;
   R12        2.02201   0.00274   0.00000   0.00707   0.00707   2.02908&lt;br /&gt;
   R13        2.56096  -0.04328   0.00000  -0.07813  -0.07813   2.48283&lt;br /&gt;
   R14        2.02201   0.00246   0.00000   0.00637   0.00637   2.02837&lt;br /&gt;
   R15        2.02201   0.00214   0.00000   0.00554   0.00554   2.02755&lt;br /&gt;
    A1        2.09241  -0.00660   0.00000  -0.03779  -0.03779   2.05463&lt;br /&gt;
    A2        2.09836   0.00204   0.00000   0.01166   0.01166   2.11002&lt;br /&gt;
    A3        2.09241   0.00457   0.00000   0.02613   0.02613   2.11854&lt;br /&gt;
    A4        2.09836  -0.00493   0.00000  -0.01661  -0.01661   2.08174&lt;br /&gt;
    A5        2.09241   0.01582   0.00000   0.06740   0.06740   2.15982&lt;br /&gt;
    A6        2.09241  -0.01090   0.00000  -0.05079  -0.05079   2.04162&lt;br /&gt;
    A7        1.91063  -0.00387   0.00000  -0.01253  -0.01281   1.89782&lt;br /&gt;
    A8        1.91063  -0.00387   0.00000  -0.01250  -0.01278   1.89786&lt;br /&gt;
    A9        1.91063   0.01321   0.00000   0.06311   0.06291   1.97354&lt;br /&gt;
   A10        1.91063   0.00093   0.00000  -0.01837  -0.01873   1.89191&lt;br /&gt;
   A11        1.91063  -0.00320   0.00000  -0.00986  -0.01005   1.90058&lt;br /&gt;
   A12        1.91063  -0.00320   0.00000  -0.00985  -0.01004   1.90059&lt;br /&gt;
   A13        1.91063  -0.00316   0.00000  -0.00964  -0.00983   1.90080&lt;br /&gt;
   A14        1.91063  -0.00316   0.00000  -0.00964  -0.00984   1.90080&lt;br /&gt;
   A15        1.91063   0.01311   0.00000   0.06265   0.06245   1.97308&lt;br /&gt;
   A16        1.91063   0.00091   0.00000  -0.01848  -0.01882   1.89181&lt;br /&gt;
   A17        1.91063  -0.00384   0.00000  -0.01242  -0.01270   1.89793&lt;br /&gt;
   A18        1.91063  -0.00385   0.00000  -0.01247  -0.01275   1.89788&lt;br /&gt;
   A19        2.09241  -0.01073   0.00000  -0.05072  -0.05072   2.04169&lt;br /&gt;
   A20        2.09836   0.01459   0.00000   0.06216   0.06216   2.16052&lt;br /&gt;
   A21        2.09241  -0.00386   0.00000  -0.01144  -0.01144   2.08098&lt;br /&gt;
   A22        2.09836   0.00217   0.00000   0.01240   0.01240   2.11075&lt;br /&gt;
   A23        2.09241   0.00443   0.00000   0.02533   0.02533   2.11774&lt;br /&gt;
   A24        2.09241  -0.00659   0.00000  -0.03772  -0.03772   2.05469&lt;br /&gt;
    D1        3.14159   0.00000   0.00000  -0.00001  -0.00001   3.14159&lt;br /&gt;
    D2        0.00000   0.00000   0.00000  -0.00004  -0.00004  -0.00004&lt;br /&gt;
    D3        0.00000   0.00000   0.00000  -0.00003  -0.00002  -0.00002&lt;br /&gt;
    D4        3.14159   0.00000   0.00000  -0.00005  -0.00005   3.14154&lt;br /&gt;
    D5        1.04700  -0.00180   0.00000  -0.01891  -0.01884   1.02817&lt;br /&gt;
    D6       -1.04739   0.00180   0.00000   0.01892   0.01885  -1.02854&lt;br /&gt;
    D7        3.14140   0.00000   0.00000  -0.00001  -0.00001   3.14139&lt;br /&gt;
    D8       -2.09459  -0.00180   0.00000  -0.01894  -0.01886  -2.11345&lt;br /&gt;
    D9        2.09420   0.00180   0.00000   0.01889   0.01882   2.11302&lt;br /&gt;
   D10       -0.00019   0.00000   0.00000  -0.00004  -0.00004  -0.00024&lt;br /&gt;
   D11        1.04526  -0.00137   0.00000  -0.01678  -0.01678   1.02847&lt;br /&gt;
   D12       -1.04914   0.00139   0.00000   0.01766   0.01766  -1.03147&lt;br /&gt;
   D13        3.13965   0.00001   0.00000   0.00047   0.00047   3.14013&lt;br /&gt;
   D14        3.13965   0.00001   0.00000   0.00048   0.00048   3.14013&lt;br /&gt;
   D15        1.04526   0.00278   0.00000   0.03492   0.03493   1.08018&lt;br /&gt;
   D16       -1.04914   0.00140   0.00000   0.01773   0.01773  -1.03140&lt;br /&gt;
   D17       -1.04914  -0.00277   0.00000  -0.03409  -0.03410  -1.08324&lt;br /&gt;
   D18        3.13965   0.00000   0.00000   0.00035   0.00035   3.14000&lt;br /&gt;
   D19        1.04526  -0.00138   0.00000  -0.01684  -0.01684   1.02842&lt;br /&gt;
   D20       -0.00064   0.00000   0.00000  -0.00010  -0.00010  -0.00074&lt;br /&gt;
   D21        3.14095   0.00000   0.00000  -0.00006  -0.00006   3.14089&lt;br /&gt;
   D22        2.09375   0.00180   0.00000   0.01885   0.01878   2.11254&lt;br /&gt;
   D23       -1.04784   0.00180   0.00000   0.01889   0.01882  -1.02902&lt;br /&gt;
   D24       -2.09504  -0.00180   0.00000  -0.01902  -0.01895  -2.11398&lt;br /&gt;
   D25        1.04656  -0.00180   0.00000  -0.01898  -0.01891   1.02765&lt;br /&gt;
   D26        0.00000   0.00000   0.00000  -0.00006  -0.00006  -0.00006&lt;br /&gt;
   D27        3.14159   0.00000   0.00000  -0.00007  -0.00007   3.14152&lt;br /&gt;
   D28        3.14159   0.00000   0.00000  -0.00002  -0.00002   3.14158&lt;br /&gt;
   D29        0.00000   0.00000   0.00000  -0.00003  -0.00003  -0.00003&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.043284     0.000450     NO &lt;br /&gt;
 RMS     Force            0.009122     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.116716     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.033119     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-7.736453D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.017741    0.000199   -0.008304&lt;br /&gt;
    2          1             0        0.061764    0.000096    1.064091&lt;br /&gt;
    3          1             0        0.946303    0.000377   -0.545970&lt;br /&gt;
    4          6             0       -1.136448    0.000088   -0.636135&lt;br /&gt;
    5          1             0       -1.150138    0.000202   -1.709605&lt;br /&gt;
    6          6             0       -2.490666   -0.000234    0.075061&lt;br /&gt;
    7          1             0       -2.552605    0.878449    0.706172&lt;br /&gt;
    8          1             0       -2.552495   -0.879294    0.705658&lt;br /&gt;
    9          6             0       -3.692238   -0.000010   -0.905526&lt;br /&gt;
   10          1             0       -3.629690   -0.877883   -1.537767&lt;br /&gt;
   11          1             0       -3.631478    0.879854   -1.535163&lt;br /&gt;
   12          6             0       -5.045584   -0.002397   -0.193999&lt;br /&gt;
   13          1             0       -5.031470   -0.004656    0.879646&lt;br /&gt;
   14          6             0       -6.200465   -0.001870   -0.820475&lt;br /&gt;
   15          1             0       -6.246520    0.000380   -1.892853&lt;br /&gt;
   16          1             0       -7.127920   -0.003679   -0.281026&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073298   0.000000&lt;br /&gt;
     3  H    1.072992   1.837037   0.000000&lt;br /&gt;
     4  C    1.313896   2.080018   2.084702   0.000000&lt;br /&gt;
     5  H    2.063580   3.026894   2.397730   1.073557   0.000000&lt;br /&gt;
     6  C    2.509792   2.737348   3.492626   1.529610   2.232050&lt;br /&gt;
     7  H    2.808643   2.781103   3.818537   2.139814   2.928175&lt;br /&gt;
     8  H    2.808801   2.781394   3.818637   2.139839   2.928074&lt;br /&gt;
     9  C    3.816929   4.239330   4.652456   2.569948   2.666236&lt;br /&gt;
    10  H    4.051423   4.600797   4.763897   2.792853   2.636046&lt;br /&gt;
    11  H    4.052392   4.601100   4.765297   2.794175   2.638421&lt;br /&gt;
    12  C    5.066730   5.260019   6.002217   3.934061   4.179901&lt;br /&gt;
    13  H    5.126696   5.096574   6.145419   4.179571   4.665724&lt;br /&gt;
    14  C    6.271021   6.539656   7.152038   5.067372   5.127998&lt;br /&gt;
    15  H    6.541596   6.966918   7.317841   5.262335   5.099675&lt;br /&gt;
    16  H    7.150864   7.314431   8.078569   6.001987   6.146115&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083615   0.000000&lt;br /&gt;
     8  H    1.083615   1.757743   0.000000&lt;br /&gt;
     9  C    1.550912   2.160561   2.160572   0.000000&lt;br /&gt;
    10  H    2.160754   3.046321   2.488635   1.083652   0.000000&lt;br /&gt;
    11  H    2.160747   2.487479   3.046323   1.083649   1.757739&lt;br /&gt;
    12  C    2.569048   2.793053   2.791743   1.528994   2.139380&lt;br /&gt;
    13  H    2.665157   2.637184   2.634498   2.231682   2.927695&lt;br /&gt;
    14  C    3.816359   4.051234   4.050511   2.509669   2.809055&lt;br /&gt;
    15  H    4.240179   4.601189   4.601294   2.738461   2.783026&lt;br /&gt;
    16  H    4.650907   4.763005   4.761802   3.491980   3.818539&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.139342   0.000000&lt;br /&gt;
    13  H    2.928078   1.073741   0.000000&lt;br /&gt;
    14  C    2.808543   1.313857   2.063243   0.000000&lt;br /&gt;
    15  H    2.782060   2.080470   3.027065   1.073368   0.000000&lt;br /&gt;
    16  H    3.818193   2.084153   2.396302   1.072931   1.837082&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        3.133077   -0.123684   -0.000198&lt;br /&gt;
    2          1             0        3.273911   -1.187702    0.000802&lt;br /&gt;
    3          1             0        4.009205    0.495760   -0.001032&lt;br /&gt;
    4          6             0        1.926835    0.397183   -0.000406&lt;br /&gt;
    5          1             0        1.816113    1.465015   -0.001411&lt;br /&gt;
    6          6             0        0.642491   -0.433578    0.000673&lt;br /&gt;
    7          1             0        0.638227   -1.066748    0.880046&lt;br /&gt;
    8          1             0        0.637608   -1.068138   -0.877696&lt;br /&gt;
    9          6             0       -0.642845    0.434316    0.000452&lt;br /&gt;
   10          1             0       -0.638076    1.068668   -0.878113&lt;br /&gt;
   11          1             0       -0.638939    1.067824    0.879626&lt;br /&gt;
   12          6             0       -1.926292   -0.396698   -0.000534&lt;br /&gt;
   13          1             0       -1.815131   -1.464669   -0.001675&lt;br /&gt;
   14          6             0       -3.133100    0.122758   -0.000103&lt;br /&gt;
   15          1             0       -3.275955    1.186577    0.001046&lt;br /&gt;
   16          1             0       -4.007964   -0.498364   -0.000898&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     21.0258526      1.2634688      1.2096147&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       210.6271407602 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.684864434     A.U. after   10 cycles&lt;br /&gt;
             Convg  =    0.7131D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000520428   -0.000000004   -0.000650178&lt;br /&gt;
    2          1           0.003126976    0.000000519    0.001245290&lt;br /&gt;
    3          1           0.000913849    0.000000631    0.001816797&lt;br /&gt;
    4          6          -0.006413551    0.000001833    0.001230200&lt;br /&gt;
    5          1          -0.001662446   -0.000000780   -0.002047022&lt;br /&gt;
    6          6           0.000497305    0.000007131   -0.006355046&lt;br /&gt;
    7          1          -0.000937173   -0.000049843    0.001972947&lt;br /&gt;
    8          1          -0.000927530    0.000038900    0.001962099&lt;br /&gt;
    9          6          -0.000271112   -0.000005020    0.006189546&lt;br /&gt;
   10          1           0.000952775    0.000055984   -0.001947198&lt;br /&gt;
   11          1           0.000962883   -0.000059138   -0.001960721&lt;br /&gt;
   12          6           0.006185853    0.000010477   -0.000963151&lt;br /&gt;
   13          1           0.001698275   -0.000005493    0.001924426&lt;br /&gt;
   14          6           0.000470869    0.000000515    0.000600529&lt;br /&gt;
   15          1          -0.003077556    0.000000882   -0.001176752&lt;br /&gt;
   16          1          -0.000998989    0.000003405   -0.001841766&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.006413551 RMS     0.002166739&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.005110419 RMS     0.001886356&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   2 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2&lt;br /&gt;
 Trust test= 9.57D-01 RLast= 2.25D-01 DXMaxT set to 4.24D-01&lt;br /&gt;
     Eigenvalues ---    0.00237   0.00237   0.00237   0.01239   0.01240&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02681   0.02681   0.02681   0.03947&lt;br /&gt;
     Eigenvalues ---    0.03949   0.05280   0.05317   0.09247   0.09273&lt;br /&gt;
     Eigenvalues ---    0.12788   0.12791   0.14761   0.16000   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16046   0.21024   0.22000&lt;br /&gt;
     Eigenvalues ---    0.22022   0.24063   0.28039   0.28519   0.29154&lt;br /&gt;
     Eigenvalues ---    0.36557   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37230   0.37402&lt;br /&gt;
     Eigenvalues ---    0.53930   0.602061000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.00817883D-03.&lt;br /&gt;
 Quartic linear search produced a step of -0.00994.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.02007335 RMS(Int)=  0.00016767&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00018492 RMS(Int)=  0.00001760&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000001 RMS(Int)=  0.00001760&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02824   0.00137  -0.00006   0.00410   0.00404   2.03228&lt;br /&gt;
    R2        2.02766  -0.00012  -0.00006   0.00011   0.00005   2.02771&lt;br /&gt;
    R3        2.48290   0.00424   0.00078   0.00196   0.00273   2.48564&lt;br /&gt;
    R4        2.02873   0.00207  -0.00007   0.00598   0.00592   2.03465&lt;br /&gt;
    R5        2.89054  -0.00477   0.00020  -0.01798  -0.01778   2.87276&lt;br /&gt;
    R6        2.04773   0.00116  -0.00026   0.00500   0.00475   2.05248&lt;br /&gt;
    R7        2.04774   0.00116  -0.00026   0.00500   0.00475   2.05249&lt;br /&gt;
    R8        2.93080  -0.00511  -0.00020  -0.01613  -0.01633   2.91447&lt;br /&gt;
    R9        2.04781   0.00115  -0.00026   0.00496   0.00471   2.05251&lt;br /&gt;
   R10        2.04780   0.00115  -0.00026   0.00496   0.00471   2.05250&lt;br /&gt;
   R11        2.88938  -0.00446   0.00021  -0.01699  -0.01679   2.87259&lt;br /&gt;
   R12        2.02908   0.00195  -0.00007   0.00569   0.00562   2.03469&lt;br /&gt;
   R13        2.48283   0.00432   0.00078   0.00210   0.00287   2.48570&lt;br /&gt;
   R14        2.02837   0.00131  -0.00006   0.00394   0.00388   2.03225&lt;br /&gt;
   R15        2.02755  -0.00006  -0.00006   0.00025   0.00019   2.02774&lt;br /&gt;
    A1        2.05463  -0.00345   0.00038  -0.02405  -0.02368   2.03095&lt;br /&gt;
    A2        2.11002   0.00278  -0.00012   0.01799   0.01787   2.12789&lt;br /&gt;
    A3        2.11854   0.00067  -0.00026   0.00607   0.00581   2.12435&lt;br /&gt;
    A4        2.08174   0.00076   0.00017   0.00494   0.00511   2.08685&lt;br /&gt;
    A5        2.15982   0.00180  -0.00067   0.01310   0.01243   2.17225&lt;br /&gt;
    A6        2.04162  -0.00256   0.00050  -0.01804  -0.01753   2.02409&lt;br /&gt;
    A7        1.89782   0.00190   0.00013   0.01176   0.01189   1.90971&lt;br /&gt;
    A8        1.89786   0.00190   0.00013   0.01173   0.01185   1.90971&lt;br /&gt;
    A9        1.97354  -0.00422  -0.00063  -0.01207  -0.01266   1.96088&lt;br /&gt;
   A10        1.89191  -0.00149   0.00019  -0.01520  -0.01506   1.87685&lt;br /&gt;
   A11        1.90058   0.00098   0.00010   0.00167   0.00181   1.90239&lt;br /&gt;
   A12        1.90059   0.00098   0.00010   0.00167   0.00181   1.90240&lt;br /&gt;
   A13        1.90080   0.00094   0.00010   0.00140   0.00154   1.90234&lt;br /&gt;
   A14        1.90080   0.00093   0.00010   0.00140   0.00154   1.90234&lt;br /&gt;
   A15        1.97308  -0.00413  -0.00062  -0.01168  -0.01226   1.96082&lt;br /&gt;
   A16        1.89181  -0.00148   0.00019  -0.01527  -0.01512   1.87669&lt;br /&gt;
   A17        1.89793   0.00189   0.00013   0.01182   0.01194   1.90987&lt;br /&gt;
   A18        1.89788   0.00190   0.00013   0.01187   0.01199   1.90988&lt;br /&gt;
   A19        2.04169  -0.00256   0.00050  -0.01809  -0.01759   2.02410&lt;br /&gt;
   A20        2.16052   0.00172  -0.00062   0.01236   0.01174   2.17226&lt;br /&gt;
   A21        2.08098   0.00084   0.00011   0.00573   0.00585   2.08682&lt;br /&gt;
   A22        2.11075   0.00267  -0.00012   0.01737   0.01725   2.12800&lt;br /&gt;
   A23        2.11774   0.00079  -0.00025   0.00674   0.00649   2.12423&lt;br /&gt;
   A24        2.05469  -0.00346   0.00037  -0.02411  -0.02374   2.03095&lt;br /&gt;
    D1        3.14159   0.00000   0.00000  -0.00002  -0.00002   3.14157&lt;br /&gt;
    D2       -0.00004   0.00000   0.00000   0.00000   0.00000  -0.00003&lt;br /&gt;
    D3       -0.00002   0.00000   0.00000   0.00001   0.00001  -0.00002&lt;br /&gt;
    D4        3.14154   0.00000   0.00000   0.00003   0.00003   3.14157&lt;br /&gt;
    D5        1.02817   0.00018   0.00019  -0.00267  -0.00244   1.02572&lt;br /&gt;
    D6       -1.02854  -0.00018  -0.00019   0.00231   0.00208  -1.02646&lt;br /&gt;
    D7        3.14139   0.00000   0.00000  -0.00017  -0.00017   3.14122&lt;br /&gt;
    D8       -2.11345   0.00018   0.00019  -0.00264  -0.00242  -2.11588&lt;br /&gt;
    D9        2.11302  -0.00018  -0.00019   0.00233   0.00211   2.11513&lt;br /&gt;
   D10       -0.00024   0.00000   0.00000  -0.00014  -0.00014  -0.00038&lt;br /&gt;
   D11        1.02847  -0.00035   0.00017  -0.00697  -0.00681   1.02167&lt;br /&gt;
   D12       -1.03147   0.00036  -0.00018   0.00977   0.00959  -1.02188&lt;br /&gt;
   D13        3.14013   0.00000   0.00000   0.00136   0.00136   3.14149&lt;br /&gt;
   D14        3.14013  -0.00001   0.00000   0.00123   0.00122   3.14135&lt;br /&gt;
   D15        1.08018   0.00070  -0.00035   0.01796   0.01762   1.09781&lt;br /&gt;
   D16       -1.03140   0.00034  -0.00018   0.00956   0.00939  -1.02202&lt;br /&gt;
   D17       -1.08324  -0.00069   0.00034  -0.01512  -0.01479  -1.09802&lt;br /&gt;
   D18        3.14000   0.00002   0.00000   0.00162   0.00161  -3.14157&lt;br /&gt;
   D19        1.02842  -0.00033   0.00017  -0.00679  -0.00662   1.02179&lt;br /&gt;
   D20       -0.00074   0.00000   0.00000  -0.00049  -0.00049  -0.00123&lt;br /&gt;
   D21        3.14089   0.00000   0.00000  -0.00049  -0.00049   3.14040&lt;br /&gt;
   D22        2.11254  -0.00019  -0.00019   0.00196   0.00174   2.11427&lt;br /&gt;
   D23       -1.02902  -0.00019  -0.00019   0.00196   0.00174  -1.02728&lt;br /&gt;
   D24       -2.11398   0.00018   0.00019  -0.00297  -0.00275  -2.11674&lt;br /&gt;
   D25        1.02765   0.00018   0.00019  -0.00297  -0.00275   1.02490&lt;br /&gt;
   D26       -0.00006   0.00000   0.00000  -0.00002  -0.00002  -0.00008&lt;br /&gt;
   D27        3.14152   0.00000   0.00000   0.00000   0.00000   3.14152&lt;br /&gt;
   D28        3.14158   0.00000   0.00000  -0.00002  -0.00002   3.14156&lt;br /&gt;
   D29       -0.00003   0.00000   0.00000   0.00000   0.00000  -0.00003&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.005110     0.000450     NO &lt;br /&gt;
 RMS     Force            0.001886     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.067383     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.020094     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-5.070827D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.008534    0.000845   -0.009746&lt;br /&gt;
    2          1             0        0.084252    0.000458    1.063022&lt;br /&gt;
    3          1             0        0.934007    0.001717   -0.552762&lt;br /&gt;
    4          6             0       -1.154118    0.000291   -0.624861&lt;br /&gt;
    5          1             0       -1.185795    0.000734   -1.701083&lt;br /&gt;
    6          6             0       -2.500613   -0.000973    0.080799&lt;br /&gt;
    7          1             0       -2.574536    0.874600    0.719217&lt;br /&gt;
    8          1             0       -2.573591   -0.877602    0.717879&lt;br /&gt;
    9          6             0       -3.682199   -0.000844   -0.910388&lt;br /&gt;
   10          1             0       -3.608092   -0.876318   -1.548949&lt;br /&gt;
   11          1             0       -3.609149    0.875800   -1.547456&lt;br /&gt;
   12          6             0       -5.028572   -0.002259   -0.204688&lt;br /&gt;
   13          1             0       -4.996841   -0.004348    0.871556&lt;br /&gt;
   14          6             0       -6.191299   -0.001147   -0.819733&lt;br /&gt;
   15          1             0       -6.267213    0.000964   -1.892469&lt;br /&gt;
   16          1             0       -7.116682   -0.002295   -0.276534&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.075437   0.000000&lt;br /&gt;
     3  H    1.073018   1.825608   0.000000&lt;br /&gt;
     4  C    1.315343   2.093445   2.089370   0.000000&lt;br /&gt;
     5  H    2.070518   3.041924   2.410851   1.076689   0.000000&lt;br /&gt;
     6  C    2.510781   2.765193   3.492567   1.520199   2.214464&lt;br /&gt;
     7  H    2.822602   2.819837   3.832718   2.142089   2.924054&lt;br /&gt;
     8  H    2.822848   2.820326   3.832880   2.142090   2.923838&lt;br /&gt;
     9  C    3.799035   4.252117   4.630039   2.544154   2.618632&lt;br /&gt;
    10  H    4.027225   4.607009   4.732230   2.764845   2.580676&lt;br /&gt;
    11  H    4.027124   4.606738   4.732198   2.764937   2.581082&lt;br /&gt;
    12  C    5.040878   5.267643   5.972731   3.897171   4.123850&lt;br /&gt;
    13  H    5.082371   5.084702   6.099482   4.123809   4.598105&lt;br /&gt;
    14  C    6.252520   6.551894   7.130306   5.040949   5.082504&lt;br /&gt;
    15  H    6.552072   7.005429   7.324779   5.267881   5.085021&lt;br /&gt;
    16  H    7.130209   7.324471   8.055427   5.972730   6.099571&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.086126   0.000000&lt;br /&gt;
     8  H    1.086129   1.752203   0.000000&lt;br /&gt;
     9  C    1.542270   2.156138   2.156147   0.000000&lt;br /&gt;
    10  H    2.156111   3.046068   2.491728   1.086143   0.000000&lt;br /&gt;
    11  H    2.156107   2.491633   3.046071   1.086139   1.752119&lt;br /&gt;
    12  C    2.544029   2.764919   2.764831   1.520110   2.142144&lt;br /&gt;
    13  H    2.618485   2.581341   2.580375   2.214412   2.923662&lt;br /&gt;
    14  C    3.798963   4.026944   4.027436   2.510738   2.823232&lt;br /&gt;
    15  H    4.252184   4.606518   4.607456   2.765282   2.821091&lt;br /&gt;
    16  H    4.629879   4.731972   4.732304   3.492485   3.833166&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.142143   0.000000&lt;br /&gt;
    13  H    2.924375   1.076714   0.000000&lt;br /&gt;
    14  C    2.822431   1.315377   2.070556   0.000000&lt;br /&gt;
    15  H    2.819517   2.093525   3.041991   1.075421   0.000000&lt;br /&gt;
    16  H    3.832634   2.089346   2.410776   1.073033   1.825611&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -3.124083   -0.116533   -0.000441&lt;br /&gt;
    2          1             0       -3.298711   -1.177697   -0.001171&lt;br /&gt;
    3          1             0       -3.995358    0.509764   -0.000278&lt;br /&gt;
    4          6             0       -1.909516    0.388395    0.000209&lt;br /&gt;
    5          1             0       -1.778422    1.457073    0.000909&lt;br /&gt;
    6          6             0       -0.634070   -0.438794    0.000058&lt;br /&gt;
    7          1             0       -0.619858   -1.080335   -0.876238&lt;br /&gt;
    8          1             0       -0.620000   -1.080872    0.875965&lt;br /&gt;
    9          6             0        0.634137    0.438843    0.000420&lt;br /&gt;
   10          1             0        0.619754    1.080543    0.876616&lt;br /&gt;
   11          1             0        0.619993    1.080916   -0.875503&lt;br /&gt;
   12          6             0        1.909459   -0.388375    0.000420&lt;br /&gt;
   13          1             0        1.778309   -1.457072    0.001365&lt;br /&gt;
   14          6             0        3.124094    0.116478   -0.000597&lt;br /&gt;
   15          1             0        3.298912    1.177595   -0.001591&lt;br /&gt;
   16          1             0        3.995262   -0.509993   -0.000484&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     21.0886382      1.2745137      1.2198288&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.1429484691 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.685385913     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.3442D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000597407    0.000001984    0.000102891&lt;br /&gt;
    2          1           0.000173437   -0.000000198   -0.000214679&lt;br /&gt;
    3          1           0.000244564    0.000000207    0.000075524&lt;br /&gt;
    4          6          -0.001215576   -0.000000444   -0.000074028&lt;br /&gt;
    5          1           0.000410696   -0.000001956    0.000195113&lt;br /&gt;
    6          6           0.000431707    0.000004734   -0.000410447&lt;br /&gt;
    7          1          -0.000148629   -0.000403333    0.000135028&lt;br /&gt;
    8          1          -0.000149029    0.000400448    0.000132546&lt;br /&gt;
    9          6          -0.000356678    0.000004297    0.000381034&lt;br /&gt;
   10          1           0.000132863    0.000395456   -0.000116002&lt;br /&gt;
   11          1           0.000131597   -0.000400659   -0.000122532&lt;br /&gt;
   12          6           0.001145117    0.000000369    0.000058377&lt;br /&gt;
   13          1          -0.000412151   -0.000004568   -0.000215576&lt;br /&gt;
   14          6          -0.000579583    0.000003890   -0.000046243&lt;br /&gt;
   15          1          -0.000164954   -0.000000178    0.000205962&lt;br /&gt;
   16          1          -0.000240787   -0.000000049   -0.000086969&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.001215576 RMS     0.000341995&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000880578 RMS     0.000250851&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   3 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2  3&lt;br /&gt;
 Trust test= 1.03D+00 RLast= 7.78D-02 DXMaxT set to 4.24D-01&lt;br /&gt;
     Eigenvalues ---    0.00237   0.00237   0.00237   0.01254   0.01254&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02681   0.02681   0.02681   0.03982&lt;br /&gt;
     Eigenvalues ---    0.03982   0.05013   0.05324   0.09140   0.09147&lt;br /&gt;
     Eigenvalues ---    0.12734   0.12735   0.14430   0.16000   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16035   0.16417   0.20378   0.21971&lt;br /&gt;
     Eigenvalues ---    0.22000   0.24190   0.28379   0.28519   0.30249&lt;br /&gt;
     Eigenvalues ---    0.37034   0.37230   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37272   0.37593&lt;br /&gt;
     Eigenvalues ---    0.53930   0.595251000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-2.17076652D-05.&lt;br /&gt;
 Quartic linear search produced a step of  0.02828.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00311285 RMS(Int)=  0.00000308&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000382 RMS(Int)=  0.00000064&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000064&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03228  -0.00020   0.00011  -0.00057  -0.00046   2.03182&lt;br /&gt;
    R2        2.02771   0.00017   0.00000   0.00049   0.00049   2.02820&lt;br /&gt;
    R3        2.48564   0.00088   0.00008   0.00150   0.00158   2.48721&lt;br /&gt;
    R4        2.03465  -0.00021   0.00017  -0.00060  -0.00043   2.03421&lt;br /&gt;
    R5        2.87276   0.00015  -0.00050   0.00061   0.00011   2.87287&lt;br /&gt;
    R6        2.05248  -0.00024   0.00013  -0.00063  -0.00050   2.05198&lt;br /&gt;
    R7        2.05249  -0.00024   0.00013  -0.00063  -0.00050   2.05199&lt;br /&gt;
    R8        2.91447   0.00023  -0.00046   0.00098   0.00051   2.91498&lt;br /&gt;
    R9        2.05251  -0.00024   0.00013  -0.00065  -0.00051   2.05200&lt;br /&gt;
   R10        2.05250  -0.00024   0.00013  -0.00065  -0.00052   2.05199&lt;br /&gt;
   R11        2.87259   0.00018  -0.00047   0.00074   0.00026   2.87286&lt;br /&gt;
   R12        2.03469  -0.00023   0.00016  -0.00065  -0.00049   2.03420&lt;br /&gt;
   R13        2.48570   0.00084   0.00008   0.00141   0.00150   2.48720&lt;br /&gt;
   R14        2.03225  -0.00019   0.00011  -0.00055  -0.00044   2.03181&lt;br /&gt;
   R15        2.02774   0.00016   0.00001   0.00046   0.00047   2.02821&lt;br /&gt;
    A1        2.03095  -0.00026  -0.00067  -0.00154  -0.00221   2.02873&lt;br /&gt;
    A2        2.12789   0.00013   0.00051   0.00071   0.00122   2.12910&lt;br /&gt;
    A3        2.12435   0.00013   0.00016   0.00083   0.00100   2.12535&lt;br /&gt;
    A4        2.08685  -0.00069   0.00014  -0.00404  -0.00390   2.08295&lt;br /&gt;
    A5        2.17225   0.00056   0.00035   0.00269   0.00304   2.17529&lt;br /&gt;
    A6        2.02409   0.00013  -0.00050   0.00135   0.00085   2.02494&lt;br /&gt;
    A7        1.90971   0.00010   0.00034   0.00147   0.00181   1.91152&lt;br /&gt;
    A8        1.90971   0.00009   0.00034   0.00146   0.00179   1.91150&lt;br /&gt;
    A9        1.96088   0.00008  -0.00036   0.00150   0.00114   1.96203&lt;br /&gt;
   A10        1.87685  -0.00020  -0.00043  -0.00390  -0.00433   1.87252&lt;br /&gt;
   A11        1.90239  -0.00005   0.00005  -0.00039  -0.00034   1.90205&lt;br /&gt;
   A12        1.90240  -0.00005   0.00005  -0.00041  -0.00036   1.90205&lt;br /&gt;
   A13        1.90234  -0.00005   0.00004  -0.00035  -0.00031   1.90203&lt;br /&gt;
   A14        1.90234  -0.00004   0.00004  -0.00033  -0.00029   1.90205&lt;br /&gt;
   A15        1.96082   0.00011  -0.00035   0.00158   0.00123   1.96205&lt;br /&gt;
   A16        1.87669  -0.00018  -0.00043  -0.00376  -0.00419   1.87250&lt;br /&gt;
   A17        1.90987   0.00008   0.00034   0.00129   0.00163   1.91150&lt;br /&gt;
   A18        1.90988   0.00008   0.00034   0.00131   0.00165   1.91153&lt;br /&gt;
   A19        2.02410   0.00013  -0.00050   0.00134   0.00084   2.02494&lt;br /&gt;
   A20        2.17226   0.00057   0.00033   0.00272   0.00305   2.17531&lt;br /&gt;
   A21        2.08682  -0.00070   0.00017  -0.00406  -0.00389   2.08293&lt;br /&gt;
   A22        2.12800   0.00011   0.00049   0.00060   0.00109   2.12909&lt;br /&gt;
   A23        2.12423   0.00014   0.00018   0.00094   0.00112   2.12535&lt;br /&gt;
   A24        2.03095  -0.00025  -0.00067  -0.00154  -0.00221   2.02874&lt;br /&gt;
    D1        3.14157   0.00000   0.00000   0.00002   0.00002   3.14159&lt;br /&gt;
    D2       -0.00003   0.00000   0.00000   0.00000   0.00000  -0.00003&lt;br /&gt;
    D3       -0.00002   0.00000   0.00000   0.00001   0.00001   0.00000&lt;br /&gt;
    D4        3.14157   0.00000   0.00000  -0.00001  -0.00001   3.14156&lt;br /&gt;
    D5        1.02572  -0.00006  -0.00007  -0.00191  -0.00198   1.02375&lt;br /&gt;
    D6       -1.02646   0.00006   0.00006   0.00111   0.00117  -1.02529&lt;br /&gt;
    D7        3.14122   0.00000   0.00000  -0.00038  -0.00039   3.14083&lt;br /&gt;
    D8       -2.11588  -0.00006  -0.00007  -0.00193  -0.00200  -2.11787&lt;br /&gt;
    D9        2.11513   0.00006   0.00006   0.00109   0.00115   2.11628&lt;br /&gt;
   D10       -0.00038   0.00000   0.00000  -0.00041  -0.00041  -0.00079&lt;br /&gt;
   D11        1.02167  -0.00014  -0.00019  -0.00237  -0.00256   1.01911&lt;br /&gt;
   D12       -1.02188   0.00014   0.00027   0.00252   0.00279  -1.01909&lt;br /&gt;
   D13        3.14149   0.00000   0.00004   0.00006   0.00010   3.14158&lt;br /&gt;
   D14        3.14135   0.00001   0.00003   0.00021   0.00025  -3.14159&lt;br /&gt;
   D15        1.09781   0.00028   0.00050   0.00510   0.00559   1.10340&lt;br /&gt;
   D16       -1.02202   0.00014   0.00027   0.00264   0.00290  -1.01912&lt;br /&gt;
   D17       -1.09802  -0.00028  -0.00042  -0.00491  -0.00533  -1.10335&lt;br /&gt;
   D18       -3.14157  -0.00001   0.00005  -0.00003   0.00002  -3.14155&lt;br /&gt;
   D19        1.02179  -0.00014  -0.00019  -0.00249  -0.00268   1.01912&lt;br /&gt;
   D20       -0.00123   0.00000  -0.00001  -0.00122  -0.00124  -0.00247&lt;br /&gt;
   D21        3.14040   0.00000  -0.00001  -0.00120  -0.00121   3.13919&lt;br /&gt;
   D22        2.11427   0.00006   0.00005   0.00027   0.00032   2.11460&lt;br /&gt;
   D23       -1.02728   0.00006   0.00005   0.00030   0.00034  -1.02693&lt;br /&gt;
   D24       -2.11674  -0.00007  -0.00008  -0.00276  -0.00284  -2.11957&lt;br /&gt;
   D25        1.02490  -0.00007  -0.00008  -0.00274  -0.00281   1.02208&lt;br /&gt;
   D26       -0.00008   0.00000   0.00000  -0.00002  -0.00002  -0.00010&lt;br /&gt;
   D27        3.14152   0.00000   0.00000  -0.00002  -0.00002   3.14150&lt;br /&gt;
   D28        3.14156   0.00000   0.00000   0.00000   0.00000   3.14156&lt;br /&gt;
   D29       -0.00003   0.00000   0.00000   0.00001   0.00001  -0.00002&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000881     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000251     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.011781     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.003113     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.129636D-05&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.011439    0.001352   -0.009934&lt;br /&gt;
    2          1             0        0.090486    0.001514    1.062351&lt;br /&gt;
    3          1             0        0.936643    0.002232   -0.553920&lt;br /&gt;
    4          6             0       -1.153120    0.000140   -0.623222&lt;br /&gt;
    5          1             0       -1.182647    0.000028   -1.699277&lt;br /&gt;
    6          6             0       -2.500470   -0.001189    0.080931&lt;br /&gt;
    7          1             0       -2.576366    0.872850    0.720771&lt;br /&gt;
    8          1             0       -2.575199   -0.876144    0.719660&lt;br /&gt;
    9          6             0       -3.682269   -0.001352   -0.910424&lt;br /&gt;
   10          1             0       -3.606357   -0.875408   -1.550253&lt;br /&gt;
   11          1             0       -3.607519    0.873579   -1.549183&lt;br /&gt;
   12          6             0       -5.029631   -0.002698   -0.206311&lt;br /&gt;
   13          1             0       -5.000133   -0.005747    0.869732&lt;br /&gt;
   14          6             0       -6.194177   -0.000484   -0.819604&lt;br /&gt;
   15          1             0       -6.273197    0.002604   -1.891880&lt;br /&gt;
   16          1             0       -7.119391   -0.001657   -0.275630&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.075194   0.000000&lt;br /&gt;
     3  H    1.073278   1.824367   0.000000&lt;br /&gt;
     4  C    1.316177   2.094687   2.090913   0.000000&lt;br /&gt;
     5  H    2.068750   3.040964   2.408991   1.076460   0.000000&lt;br /&gt;
     6  C    2.513553   2.770604   3.495253   1.520258   2.214904&lt;br /&gt;
     7  H    2.826689   2.826305   3.837192   2.143261   2.925902&lt;br /&gt;
     8  H    2.827190   2.827295   3.837523   2.143249   2.925429&lt;br /&gt;
     9  C    3.801890   4.257409   4.632651   2.545404   2.621145&lt;br /&gt;
    10  H    4.028615   4.611002   4.733052   2.764841   2.581273&lt;br /&gt;
    11  H    4.028266   4.610407   4.732780   2.764846   2.581787&lt;br /&gt;
    12  C    5.044895   5.274952   5.976394   3.898866   4.126529&lt;br /&gt;
    13  H    5.088194   5.094267   6.105094   4.126556   4.601418&lt;br /&gt;
    14  C    6.258214   6.560392   7.135768   5.044881   5.088149&lt;br /&gt;
    15  H    6.560364   7.015978   7.332935   5.274911   5.094193&lt;br /&gt;
    16  H    7.135779   7.332976   8.060841   5.976388   6.105056&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085864   0.000000&lt;br /&gt;
     8  H    1.085866   1.748995   0.000000&lt;br /&gt;
     9  C    1.542541   2.155933   2.155932   0.000000&lt;br /&gt;
    10  H    2.155923   3.045462   2.493149   1.085872   0.000000&lt;br /&gt;
    11  H    2.155933   2.493184   3.045466   1.085866   1.748988&lt;br /&gt;
    12  C    2.545420   2.764883   2.764881   1.520250   2.143247&lt;br /&gt;
    13  H    2.621173   2.582397   2.580779   2.214892   2.924936&lt;br /&gt;
    14  C    3.801899   4.027906   4.029034   2.513549   2.827746&lt;br /&gt;
    15  H    4.257401   4.609754   4.611673   2.770592   2.828365&lt;br /&gt;
    16  H    4.632663   4.732511   4.733394   3.495250   3.837905&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.143261   0.000000&lt;br /&gt;
    13  H    2.926387   1.076452   0.000000&lt;br /&gt;
    14  C    2.826140   1.316169   2.068725   0.000000&lt;br /&gt;
    15  H    2.825221   2.094666   3.040931   1.075188   0.000000&lt;br /&gt;
    16  H    3.836825   2.090910   2.408968   1.073281   1.824371&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        3.126957    0.115991   -0.000964&lt;br /&gt;
    2          1             0        3.304882    1.176360   -0.002325&lt;br /&gt;
    3          1             0        3.997858   -0.511270   -0.000756&lt;br /&gt;
    4          6             0        1.910647   -0.386910    0.000378&lt;br /&gt;
    5          1             0        1.781681   -1.455616    0.001718&lt;br /&gt;
    6          6             0        0.634231    0.438891    0.000225&lt;br /&gt;
    7          1             0        0.618204    1.081962   -0.874591&lt;br /&gt;
    8          1             0        0.618584    1.082841    0.874404&lt;br /&gt;
    9          6             0       -0.634227   -0.438861    0.000945&lt;br /&gt;
   10          1             0       -0.618182   -1.081922    0.875778&lt;br /&gt;
   11          1             0       -0.618562   -1.082842   -0.873210&lt;br /&gt;
   12          6             0       -1.910658    0.386902    0.000809&lt;br /&gt;
   13          1             0       -1.781724    1.455603    0.002629&lt;br /&gt;
   14          6             0       -3.126955   -0.116009   -0.001275&lt;br /&gt;
   15          1             0       -3.304851   -1.176376   -0.003164&lt;br /&gt;
   16          1             0       -3.997867    0.511241   -0.001190&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     21.1211870      1.2723713      1.2179092&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.0499106921 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.685395428     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.3190D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000245209    0.000001538   -0.000018251&lt;br /&gt;
    2          1          -0.000015486    0.000001251    0.000006617&lt;br /&gt;
    3          1          -0.000076129   -0.000000740   -0.000065550&lt;br /&gt;
    4          6          -0.000082967   -0.000000160    0.000153113&lt;br /&gt;
    5          1           0.000062742   -0.000002436   -0.000020550&lt;br /&gt;
    6          6           0.000162316    0.000006925    0.000116741&lt;br /&gt;
    7          1           0.000044644    0.000041558   -0.000017719&lt;br /&gt;
    8          1           0.000043391   -0.000046039   -0.000019936&lt;br /&gt;
    9          6          -0.000160021    0.000008156   -0.000124734&lt;br /&gt;
   10          1          -0.000042143   -0.000048609    0.000024629&lt;br /&gt;
   11          1          -0.000047775    0.000037488    0.000017266&lt;br /&gt;
   12          6           0.000089661    0.000003093   -0.000146105&lt;br /&gt;
   13          1          -0.000060829   -0.000008602    0.000026905&lt;br /&gt;
   14          6           0.000236735    0.000006391    0.000014939&lt;br /&gt;
   15          1           0.000012800    0.000002649   -0.000011203&lt;br /&gt;
   16          1           0.000078270   -0.000002464    0.000063839&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000245209 RMS     0.000079668&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000342090 RMS     0.000093569&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   4 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2  3  4&lt;br /&gt;
 Trust test= 8.42D-01 RLast= 1.56D-02 DXMaxT set to 4.24D-01&lt;br /&gt;
     Eigenvalues ---    0.00236   0.00237   0.00237   0.01251   0.01251&lt;br /&gt;
     Eigenvalues ---    0.02681   0.02681   0.02681   0.02681   0.03965&lt;br /&gt;
     Eigenvalues ---    0.03965   0.05237   0.05321   0.09160   0.09241&lt;br /&gt;
     Eigenvalues ---    0.12747   0.12747   0.13950   0.15566   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16001   0.16303   0.19861   0.21962&lt;br /&gt;
     Eigenvalues ---    0.22001   0.24341   0.28516   0.28826   0.32465&lt;br /&gt;
     Eigenvalues ---    0.36996   0.37227   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37298   0.38305&lt;br /&gt;
     Eigenvalues ---    0.53932   0.635681000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.34121123D-06.&lt;br /&gt;
 Quartic linear search produced a step of -0.13453.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00141493 RMS(Int)=  0.00000081&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000111 RMS(Int)=  0.00000008&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000008&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03182   0.00001   0.00006  -0.00008  -0.00002   2.03180&lt;br /&gt;
    R2        2.02820  -0.00003  -0.00007   0.00002  -0.00005   2.02816&lt;br /&gt;
    R3        2.48721  -0.00033  -0.00021  -0.00025  -0.00047   2.48675&lt;br /&gt;
    R4        2.03421   0.00002   0.00006  -0.00005   0.00001   2.03423&lt;br /&gt;
    R5        2.87287  -0.00034  -0.00002  -0.00101  -0.00102   2.87185&lt;br /&gt;
    R6        2.05198   0.00002   0.00007  -0.00005   0.00002   2.05200&lt;br /&gt;
    R7        2.05199   0.00002   0.00007  -0.00004   0.00002   2.05201&lt;br /&gt;
    R8        2.91498   0.00000  -0.00007   0.00014   0.00007   2.91505&lt;br /&gt;
    R9        2.05200   0.00002   0.00007  -0.00005   0.00002   2.05202&lt;br /&gt;
   R10        2.05199   0.00002   0.00007  -0.00006   0.00001   2.05200&lt;br /&gt;
   R11        2.87286  -0.00034  -0.00004  -0.00097  -0.00101   2.87185&lt;br /&gt;
   R12        2.03420   0.00003   0.00007  -0.00004   0.00002   2.03422&lt;br /&gt;
   R13        2.48720  -0.00032  -0.00020  -0.00025  -0.00045   2.48675&lt;br /&gt;
   R14        2.03181   0.00001   0.00006  -0.00006  -0.00001   2.03181&lt;br /&gt;
   R15        2.02821  -0.00004  -0.00006   0.00001  -0.00005   2.02815&lt;br /&gt;
    A1        2.02873   0.00008   0.00030   0.00000   0.00029   2.02903&lt;br /&gt;
    A2        2.12910   0.00004  -0.00016   0.00045   0.00029   2.12939&lt;br /&gt;
    A3        2.12535  -0.00012  -0.00013  -0.00045  -0.00058   2.12477&lt;br /&gt;
    A4        2.08295  -0.00002   0.00052  -0.00095  -0.00043   2.08252&lt;br /&gt;
    A5        2.17529  -0.00008  -0.00041   0.00027  -0.00014   2.17515&lt;br /&gt;
    A6        2.02494   0.00011  -0.00011   0.00069   0.00057   2.02552&lt;br /&gt;
    A7        1.91152   0.00001  -0.00024   0.00013  -0.00012   1.91140&lt;br /&gt;
    A8        1.91150   0.00001  -0.00024   0.00011  -0.00013   1.91137&lt;br /&gt;
    A9        1.96203  -0.00013  -0.00015  -0.00039  -0.00055   1.96148&lt;br /&gt;
   A10        1.87252   0.00001   0.00058  -0.00031   0.00027   1.87279&lt;br /&gt;
   A11        1.90205   0.00006   0.00005   0.00024   0.00028   1.90233&lt;br /&gt;
   A12        1.90205   0.00006   0.00005   0.00023   0.00028   1.90232&lt;br /&gt;
   A13        1.90203   0.00006   0.00004   0.00024   0.00028   1.90231&lt;br /&gt;
   A14        1.90205   0.00006   0.00004   0.00026   0.00030   1.90235&lt;br /&gt;
   A15        1.96205  -0.00013  -0.00017  -0.00040  -0.00057   1.96149&lt;br /&gt;
   A16        1.87250   0.00001   0.00056  -0.00027   0.00030   1.87280&lt;br /&gt;
   A17        1.91150   0.00001  -0.00022   0.00008  -0.00014   1.91136&lt;br /&gt;
   A18        1.91153   0.00001  -0.00022   0.00010  -0.00013   1.91140&lt;br /&gt;
   A19        2.02494   0.00011  -0.00011   0.00068   0.00057   2.02551&lt;br /&gt;
   A20        2.17531  -0.00009  -0.00041   0.00025  -0.00016   2.17515&lt;br /&gt;
   A21        2.08293  -0.00002   0.00052  -0.00094  -0.00041   2.08252&lt;br /&gt;
   A22        2.12909   0.00005  -0.00015   0.00044   0.00030   2.12939&lt;br /&gt;
   A23        2.12535  -0.00012  -0.00015  -0.00043  -0.00058   2.12477&lt;br /&gt;
   A24        2.02874   0.00007   0.00030  -0.00001   0.00028   2.02903&lt;br /&gt;
    D1        3.14159   0.00000   0.00000  -0.00003  -0.00003   3.14156&lt;br /&gt;
    D2       -0.00003   0.00000   0.00000  -0.00004  -0.00004  -0.00007&lt;br /&gt;
    D3        0.00000   0.00000   0.00000  -0.00001  -0.00001  -0.00002&lt;br /&gt;
    D4        3.14156   0.00000   0.00000  -0.00002  -0.00002   3.14154&lt;br /&gt;
    D5        1.02375   0.00001   0.00027  -0.00092  -0.00066   1.02309&lt;br /&gt;
    D6       -1.02529  -0.00001  -0.00016  -0.00069  -0.00084  -1.02613&lt;br /&gt;
    D7        3.14083   0.00000   0.00005  -0.00079  -0.00074   3.14009&lt;br /&gt;
    D8       -2.11787   0.00001   0.00027  -0.00093  -0.00067  -2.11854&lt;br /&gt;
    D9        2.11628  -0.00001  -0.00015  -0.00070  -0.00085   2.11542&lt;br /&gt;
   D10       -0.00079   0.00000   0.00006  -0.00081  -0.00075  -0.00154&lt;br /&gt;
   D11        1.01911   0.00004   0.00034  -0.00001   0.00034   1.01945&lt;br /&gt;
   D12       -1.01909  -0.00004  -0.00038   0.00003  -0.00034  -1.01943&lt;br /&gt;
   D13        3.14158   0.00000  -0.00001  -0.00001  -0.00002   3.14156&lt;br /&gt;
   D14       -3.14159   0.00000  -0.00003   0.00006   0.00003  -3.14156&lt;br /&gt;
   D15        1.10340  -0.00007  -0.00075   0.00010  -0.00065   1.10275&lt;br /&gt;
   D16       -1.01912  -0.00004  -0.00039   0.00006  -0.00033  -1.01944&lt;br /&gt;
   D17       -1.10335   0.00007   0.00072  -0.00005   0.00067  -1.10268&lt;br /&gt;
   D18       -3.14155   0.00000   0.00000  -0.00001  -0.00001  -3.14156&lt;br /&gt;
   D19        1.01912   0.00003   0.00036  -0.00005   0.00031   1.01943&lt;br /&gt;
   D20       -0.00247  -0.00001   0.00017  -0.00240  -0.00223  -0.00470&lt;br /&gt;
   D21        3.13919   0.00000   0.00016  -0.00232  -0.00216   3.13703&lt;br /&gt;
   D22        2.11460  -0.00002  -0.00004  -0.00231  -0.00235   2.11224&lt;br /&gt;
   D23       -1.02693  -0.00002  -0.00005  -0.00224  -0.00228  -1.02922&lt;br /&gt;
   D24       -2.11957   0.00000   0.00038  -0.00253  -0.00215  -2.12172&lt;br /&gt;
   D25        1.02208   0.00000   0.00038  -0.00246  -0.00208   1.02000&lt;br /&gt;
   D26       -0.00010   0.00000   0.00000  -0.00011  -0.00011  -0.00021&lt;br /&gt;
   D27        3.14150   0.00000   0.00000  -0.00010  -0.00010   3.14140&lt;br /&gt;
   D28        3.14156   0.00000   0.00000  -0.00004  -0.00004   3.14152&lt;br /&gt;
   D29       -0.00002   0.00000   0.00000  -0.00003  -0.00003  -0.00005&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000342     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000094     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.005697     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.001415     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-9.062517D-07&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.010467    0.002196   -0.009858&lt;br /&gt;
    2          1             0        0.089857    0.003490    1.062391&lt;br /&gt;
    3          1             0        0.935315    0.002977   -0.554401&lt;br /&gt;
    4          6             0       -1.153893   -0.000199   -0.622991&lt;br /&gt;
    5          1             0       -1.182993   -0.001394   -1.699064&lt;br /&gt;
    6          6             0       -2.500638   -0.001503    0.081151&lt;br /&gt;
    7          1             0       -2.576476    0.872823    0.720621&lt;br /&gt;
    8          1             0       -2.575035   -0.876365    0.720068&lt;br /&gt;
    9          6             0       -3.682097   -0.002172   -0.910666&lt;br /&gt;
   10          1             0       -3.606255   -0.876534   -1.550104&lt;br /&gt;
   11          1             0       -3.607708    0.872658   -1.549613&lt;br /&gt;
   12          6             0       -5.028849   -0.003521   -0.206538&lt;br /&gt;
   13          1             0       -4.999757   -0.008384    0.869523&lt;br /&gt;
   14          6             0       -6.193205    0.000648   -0.819669&lt;br /&gt;
   15          1             0       -6.272582    0.005619   -1.891909&lt;br /&gt;
   16          1             0       -7.118059   -0.000717   -0.275138&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.075185   0.000000&lt;br /&gt;
     3  H    1.073254   1.824505   0.000000&lt;br /&gt;
     4  C    1.315930   2.094622   2.090336   0.000000&lt;br /&gt;
     5  H    2.068279   3.040692   2.407800   1.076467   0.000000&lt;br /&gt;
     6  C    2.512756   2.770112   3.494242   1.519717   2.214803&lt;br /&gt;
     7  H    2.825573   2.825221   3.836012   2.142709   2.925906&lt;br /&gt;
     8  H    2.826567   2.827185   3.836675   2.142690   2.924988&lt;br /&gt;
     9  C    3.800855   4.256832   4.631139   2.544519   2.620514&lt;br /&gt;
    10  H    4.028052   4.610945   4.731894   2.764341   2.580747&lt;br /&gt;
    11  H    4.027374   4.609773   4.731369   2.764365   2.581771&lt;br /&gt;
    12  C    5.043156   5.273650   5.974304   3.897272   4.125318&lt;br /&gt;
    13  H    5.086822   5.093280   6.103505   4.125328   4.600584&lt;br /&gt;
    14  C    6.256304   6.558888   7.133454   5.043148   5.086802&lt;br /&gt;
    15  H    6.558874   7.014878   7.330942   5.273629   5.093245&lt;br /&gt;
    16  H    7.133460   7.330965   8.058216   5.974301   6.103488&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085873   0.000000&lt;br /&gt;
     8  H    1.085879   1.749189   0.000000&lt;br /&gt;
     9  C    1.542578   2.156180   2.156175   0.000000&lt;br /&gt;
    10  H    2.156168   3.045798   2.493411   1.085883   0.000000&lt;br /&gt;
    11  H    2.156189   2.493472   3.045808   1.085870   1.749192&lt;br /&gt;
    12  C    2.544527   2.764369   2.764355   1.519717   2.142685&lt;br /&gt;
    13  H    2.620529   2.582826   2.579729   2.214800   2.924060&lt;br /&gt;
    14  C    3.800859   4.026650   4.028783   2.512758   2.827595&lt;br /&gt;
    15  H    4.256826   4.608530   4.612176   2.770110   2.829191&lt;br /&gt;
    16  H    4.631146   4.730812   4.732469   3.494243   3.837364&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.142704   0.000000&lt;br /&gt;
    13  H    2.926816   1.076465   0.000000&lt;br /&gt;
    14  C    2.824538   1.315930   2.068277   0.000000&lt;br /&gt;
    15  H    2.823203   2.094619   3.040688   1.075186   0.000000&lt;br /&gt;
    16  H    3.835314   2.090337   2.407802   1.073253   1.824506&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        3.126004    0.115916   -0.001851&lt;br /&gt;
    2          1             0        3.304349    1.176203   -0.004492&lt;br /&gt;
    3          1             0        3.996451   -0.511933   -0.001454&lt;br /&gt;
    4          6             0        1.909868   -0.386754    0.000740&lt;br /&gt;
    5          1             0        1.781242   -1.455505    0.003313&lt;br /&gt;
    6          6             0        0.634116    0.439078    0.000444&lt;br /&gt;
    7          1             0        0.618164    1.081655   -0.874748&lt;br /&gt;
    8          1             0        0.618865    1.083308    0.874440&lt;br /&gt;
    9          6             0       -0.634113   -0.439067    0.001791&lt;br /&gt;
   10          1             0       -0.618153   -1.081612    0.877018&lt;br /&gt;
   11          1             0       -0.618872   -1.083325   -0.872173&lt;br /&gt;
   12          6             0       -1.909873    0.386752    0.001538&lt;br /&gt;
   13          1             0       -1.781259    1.455501    0.005024&lt;br /&gt;
   14          6             0       -3.126002   -0.115925   -0.002433&lt;br /&gt;
   15          1             0       -3.304331   -1.176212   -0.006058&lt;br /&gt;
   16          1             0       -3.996456    0.511914   -0.002247&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     21.1189665      1.2731713      1.2186402&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.0924943689 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.685396364     A.U. after    8 cycles&lt;br /&gt;
             Convg  =    0.6413D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000079618    0.000004964    0.000044254&lt;br /&gt;
    2          1          -0.000009492    0.000001396    0.000007288&lt;br /&gt;
    3          1          -0.000012631   -0.000001520   -0.000014309&lt;br /&gt;
    4          6          -0.000044321    0.000000664   -0.000011828&lt;br /&gt;
    5          1           0.000001369   -0.000006005   -0.000014396&lt;br /&gt;
    6          6           0.000053931    0.000013207   -0.000009556&lt;br /&gt;
    7          1          -0.000010987    0.000017086   -0.000016209&lt;br /&gt;
    8          1          -0.000012985   -0.000025729   -0.000020992&lt;br /&gt;
    9          6          -0.000056089    0.000016270    0.000008186&lt;br /&gt;
   10          1           0.000017355   -0.000031101    0.000025825&lt;br /&gt;
   11          1           0.000007932    0.000010331    0.000011105&lt;br /&gt;
   12          6           0.000045215    0.000003002    0.000013229&lt;br /&gt;
   13          1          -0.000001491   -0.000016508    0.000015707&lt;br /&gt;
   14          6          -0.000078690    0.000013333   -0.000046260&lt;br /&gt;
   15          1           0.000009040    0.000004389   -0.000006840&lt;br /&gt;
   16          1           0.000012225   -0.000003779    0.000014798&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000079618 RMS     0.000026536&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000068700 RMS     0.000018374&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   5 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2  3  4  5&lt;br /&gt;
&lt;br /&gt;
 Trust test= 1.03D+00 RLast= 6.31D-03 DXMaxT set to 4.24D-01&lt;br /&gt;
     Eigenvalues ---    0.00190   0.00237   0.00237   0.01250   0.01250&lt;br /&gt;
     Eigenvalues ---    0.02678   0.02681   0.02681   0.02681   0.03968&lt;br /&gt;
     Eigenvalues ---    0.03969   0.05231   0.05320   0.09156   0.09346&lt;br /&gt;
     Eigenvalues ---    0.12743   0.12744   0.14504   0.14677   0.16000&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16232   0.20133   0.21962&lt;br /&gt;
     Eigenvalues ---    0.22001   0.24547   0.28508   0.28577   0.35321&lt;br /&gt;
     Eigenvalues ---    0.36901   0.37223   0.37230   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37234   0.37288   0.38281&lt;br /&gt;
     Eigenvalues ---    0.53932   0.693821000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-4.77248938D-07.&lt;br /&gt;
 Quartic linear search produced a step of  0.03297.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00313351 RMS(Int)=  0.00000463&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000648 RMS(Int)=  0.00000000&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000000&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03180   0.00001   0.00000   0.00000   0.00000   2.03181&lt;br /&gt;
    R2        2.02816   0.00000   0.00000  -0.00001  -0.00001   2.02814&lt;br /&gt;
    R3        2.48675   0.00007  -0.00002   0.00005   0.00004   2.48678&lt;br /&gt;
    R4        2.03423   0.00001   0.00000   0.00003   0.00003   2.03426&lt;br /&gt;
    R5        2.87185   0.00001  -0.00003  -0.00024  -0.00028   2.87157&lt;br /&gt;
    R6        2.05200   0.00000   0.00000   0.00000   0.00001   2.05201&lt;br /&gt;
    R7        2.05201   0.00001   0.00000   0.00002   0.00002   2.05203&lt;br /&gt;
    R8        2.91505   0.00001   0.00000   0.00006   0.00007   2.91512&lt;br /&gt;
    R9        2.05202   0.00001   0.00000   0.00002   0.00002   2.05204&lt;br /&gt;
   R10        2.05200   0.00000   0.00000  -0.00001  -0.00001   2.05199&lt;br /&gt;
   R11        2.87185   0.00001  -0.00003  -0.00024  -0.00027   2.87158&lt;br /&gt;
   R12        2.03422   0.00002   0.00000   0.00004   0.00004   2.03427&lt;br /&gt;
   R13        2.48675   0.00007  -0.00001   0.00005   0.00004   2.48679&lt;br /&gt;
   R14        2.03181   0.00001   0.00000   0.00001   0.00001   2.03181&lt;br /&gt;
   R15        2.02815   0.00000   0.00000  -0.00001  -0.00002   2.02814&lt;br /&gt;
    A1        2.02903   0.00002   0.00001   0.00016   0.00017   2.02920&lt;br /&gt;
    A2        2.12939   0.00000   0.00001   0.00010   0.00011   2.12950&lt;br /&gt;
    A3        2.12477  -0.00002  -0.00002  -0.00026  -0.00028   2.12449&lt;br /&gt;
    A4        2.08252   0.00000  -0.00001  -0.00020  -0.00022   2.08230&lt;br /&gt;
    A5        2.17515   0.00000   0.00000   0.00002   0.00001   2.17516&lt;br /&gt;
    A6        2.02552   0.00000   0.00002   0.00019   0.00021   2.02572&lt;br /&gt;
    A7        1.91140  -0.00001   0.00000   0.00002   0.00002   1.91142&lt;br /&gt;
    A8        1.91137  -0.00001   0.00000  -0.00002  -0.00002   1.91135&lt;br /&gt;
    A9        1.96148   0.00005  -0.00002   0.00007   0.00005   1.96152&lt;br /&gt;
   A10        1.87279   0.00002   0.00001   0.00022   0.00023   1.87303&lt;br /&gt;
   A11        1.90233  -0.00003   0.00001  -0.00014  -0.00013   1.90221&lt;br /&gt;
   A12        1.90232  -0.00003   0.00001  -0.00015  -0.00014   1.90218&lt;br /&gt;
   A13        1.90231  -0.00003   0.00001  -0.00017  -0.00016   1.90215&lt;br /&gt;
   A14        1.90235  -0.00003   0.00001  -0.00012  -0.00011   1.90224&lt;br /&gt;
   A15        1.96149   0.00005  -0.00002   0.00005   0.00003   1.96152&lt;br /&gt;
   A16        1.87280   0.00002   0.00001   0.00023   0.00024   1.87304&lt;br /&gt;
   A17        1.91136  -0.00001   0.00000  -0.00002  -0.00002   1.91134&lt;br /&gt;
   A18        1.91140  -0.00001   0.00000   0.00003   0.00002   1.91142&lt;br /&gt;
   A19        2.02551   0.00000   0.00002   0.00019   0.00021   2.02572&lt;br /&gt;
   A20        2.17515   0.00000  -0.00001   0.00001   0.00001   2.17516&lt;br /&gt;
   A21        2.08252   0.00000  -0.00001  -0.00020  -0.00021   2.08231&lt;br /&gt;
   A22        2.12939   0.00000   0.00001   0.00010   0.00011   2.12950&lt;br /&gt;
   A23        2.12477  -0.00002  -0.00002  -0.00026  -0.00028   2.12449&lt;br /&gt;
   A24        2.02903   0.00002   0.00001   0.00016   0.00017   2.02920&lt;br /&gt;
    D1        3.14156   0.00000   0.00000  -0.00002  -0.00002   3.14154&lt;br /&gt;
    D2       -0.00007   0.00000   0.00000  -0.00009  -0.00009  -0.00016&lt;br /&gt;
    D3       -0.00002   0.00000   0.00000  -0.00002  -0.00002  -0.00004&lt;br /&gt;
    D4        3.14154   0.00000   0.00000  -0.00009  -0.00009   3.14145&lt;br /&gt;
    D5        1.02309   0.00001  -0.00002  -0.00175  -0.00177   1.02132&lt;br /&gt;
    D6       -1.02613  -0.00001  -0.00003  -0.00202  -0.00205  -1.02819&lt;br /&gt;
    D7        3.14009   0.00000  -0.00002  -0.00186  -0.00189   3.13820&lt;br /&gt;
    D8       -2.11854   0.00000  -0.00002  -0.00181  -0.00183  -2.12037&lt;br /&gt;
    D9        2.11542  -0.00001  -0.00003  -0.00209  -0.00211   2.11331&lt;br /&gt;
   D10       -0.00154   0.00000  -0.00002  -0.00193  -0.00195  -0.00349&lt;br /&gt;
   D11        1.01945   0.00000   0.00001   0.00005   0.00006   1.01951&lt;br /&gt;
   D12       -1.01943   0.00000  -0.00001  -0.00007  -0.00008  -1.01951&lt;br /&gt;
   D13        3.14156   0.00000   0.00000  -0.00006  -0.00006   3.14151&lt;br /&gt;
   D14       -3.14156   0.00000   0.00000   0.00002   0.00002  -3.14153&lt;br /&gt;
   D15        1.10275   0.00000  -0.00002  -0.00009  -0.00011   1.10264&lt;br /&gt;
   D16       -1.01944   0.00000  -0.00001  -0.00008  -0.00009  -1.01953&lt;br /&gt;
   D17       -1.10268   0.00000   0.00002   0.00013   0.00015  -1.10253&lt;br /&gt;
   D18       -3.14156   0.00000   0.00000   0.00001   0.00001  -3.14155&lt;br /&gt;
   D19        1.01943   0.00000   0.00001   0.00003   0.00004   1.01947&lt;br /&gt;
   D20       -0.00470  -0.00001  -0.00007  -0.00550  -0.00558  -0.01028&lt;br /&gt;
   D21        3.13703  -0.00001  -0.00007  -0.00536  -0.00543   3.13160&lt;br /&gt;
   D22        2.11224  -0.00002  -0.00008  -0.00569  -0.00577   2.10647&lt;br /&gt;
   D23       -1.02922  -0.00002  -0.00008  -0.00555  -0.00562  -1.03484&lt;br /&gt;
   D24       -2.12172   0.00000  -0.00007  -0.00541  -0.00548  -2.12720&lt;br /&gt;
   D25        1.02000   0.00000  -0.00007  -0.00526  -0.00533   1.01467&lt;br /&gt;
   D26       -0.00021   0.00000   0.00000  -0.00024  -0.00024  -0.00045&lt;br /&gt;
   D27        3.14140   0.00000   0.00000  -0.00021  -0.00022   3.14119&lt;br /&gt;
   D28        3.14152   0.00000   0.00000  -0.00009  -0.00009   3.14143&lt;br /&gt;
   D29       -0.00005   0.00000   0.00000  -0.00007  -0.00007  -0.00012&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000069     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.014295     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.003134     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.396795D-07&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.010383    0.004336   -0.009776&lt;br /&gt;
    2          1             0        0.089875    0.008478    1.062460&lt;br /&gt;
    3          1             0        0.935078    0.004847   -0.554567&lt;br /&gt;
    4          6             0       -1.153984   -0.001048   -0.622918&lt;br /&gt;
    5          1             0       -1.182837   -0.005015   -1.699009&lt;br /&gt;
    6          6             0       -2.500612   -0.002297    0.081132&lt;br /&gt;
    7          1             0       -2.576864    0.872579    0.719805&lt;br /&gt;
    8          1             0       -2.574733   -0.876768    0.720632&lt;br /&gt;
    9          6             0       -3.682126   -0.004226   -0.910673&lt;br /&gt;
   10          1             0       -3.605856   -0.879167   -1.549288&lt;br /&gt;
   11          1             0       -3.608037    0.870185   -1.550223&lt;br /&gt;
   12          6             0       -5.028755   -0.005599   -0.206617&lt;br /&gt;
   13          1             0       -4.999901   -0.015015    0.869442&lt;br /&gt;
   14          6             0       -6.193118    0.003489   -0.819725&lt;br /&gt;
   15          1             0       -6.272605    0.013184   -1.891927&lt;br /&gt;
   16          1             0       -7.117815    0.001659   -0.274943&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.075186   0.000000&lt;br /&gt;
     3  H    1.073246   1.824597   0.000000&lt;br /&gt;
     4  C    1.315949   2.094701   2.090188   0.000000&lt;br /&gt;
     5  H    2.068180   3.040672   2.407366   1.076485   0.000000&lt;br /&gt;
     6  C    2.512649   2.770153   3.494014   1.519571   2.214823&lt;br /&gt;
     7  H    2.824886   2.824107   3.835455   2.142596   2.926456&lt;br /&gt;
     8  H    2.827130   2.828541   3.836945   2.142555   2.924378&lt;br /&gt;
     9  C    3.800830   4.256924   4.630924   2.544467   2.620671&lt;br /&gt;
    10  H    4.028382   4.611678   4.731916   2.764224   2.580229&lt;br /&gt;
    11  H    4.026864   4.609035   4.730754   2.764294   2.582578&lt;br /&gt;
    12  C    5.042991   5.273626   5.973984   3.897073   4.125327&lt;br /&gt;
    13  H    5.086880   5.093489   6.103456   4.125338   4.600763&lt;br /&gt;
    14  C    6.256153   6.558861   7.133126   5.042979   5.086859&lt;br /&gt;
    15  H    6.558850   7.014954   7.330709   5.273602   5.093455&lt;br /&gt;
    16  H    7.133129   7.330722   8.057746   5.973975   6.103439&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085876   0.000000&lt;br /&gt;
     8  H    1.085889   1.749349   0.000000&lt;br /&gt;
     9  C    1.542613   2.156119   2.156108   0.000000&lt;br /&gt;
    10  H    2.156092   3.045689   2.493142   1.085895   0.000000&lt;br /&gt;
    11  H    2.156138   2.493261   3.045709   1.085868   1.749354&lt;br /&gt;
    12  C    2.544468   2.764276   2.764227   1.519575   2.142552&lt;br /&gt;
    13  H    2.620694   2.584826   2.578023   2.214827   2.922392&lt;br /&gt;
    14  C    3.800813   4.025266   4.029921   2.512651   2.829359&lt;br /&gt;
    15  H    4.256892   4.606323   4.614297   2.770153   2.832886&lt;br /&gt;
    16  H    4.630914   4.729509   4.733117   3.494016   3.838445&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.142595   0.000000&lt;br /&gt;
    13  H    2.928420   1.076487   0.000000&lt;br /&gt;
    14  C    2.822665   1.315951   2.068186   0.000000&lt;br /&gt;
    15  H    2.819776   2.094705   3.040680   1.075189   0.000000&lt;br /&gt;
    16  H    3.833955   2.090189   2.407374   1.073244   1.824596&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -3.125931   -0.115946   -0.004092&lt;br /&gt;
    2          1             0       -3.304397   -1.176201   -0.009948&lt;br /&gt;
    3          1             0       -3.996191    0.512150   -0.003199&lt;br /&gt;
    4          6             0       -1.909777    0.386704    0.001654&lt;br /&gt;
    5          1             0       -1.781375    1.455489    0.007370&lt;br /&gt;
    6          6             0       -0.634147   -0.439048    0.001004&lt;br /&gt;
    7          1             0       -0.617728   -1.080563   -0.874961&lt;br /&gt;
    8          1             0       -0.619229   -1.084136    0.874384&lt;br /&gt;
    9          6             0        0.634151    0.439055    0.003907&lt;br /&gt;
   10          1             0        0.617708    1.080514    0.879936&lt;br /&gt;
   11          1             0        0.619269    1.084190   -0.869414&lt;br /&gt;
   12          6             0        1.909781   -0.386703    0.003380&lt;br /&gt;
   13          1             0        1.781387   -1.455478    0.011047&lt;br /&gt;
   14          6             0        3.125923    0.115938   -0.005346&lt;br /&gt;
   15          1             0        3.304374    1.176184   -0.013327&lt;br /&gt;
   16          1             0        3.996185   -0.512152   -0.004921&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     21.1192320      1.2732354      1.2187099&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.0968086956 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.685397030     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.3221D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000057207    0.000010203    0.000010429&lt;br /&gt;
    2          1          -0.000007632    0.000003566    0.000000701&lt;br /&gt;
    3          1           0.000009185   -0.000002726    0.000008130&lt;br /&gt;
    4          6           0.000045084    0.000000475   -0.000031987&lt;br /&gt;
    5          1          -0.000022648   -0.000013011   -0.000002147&lt;br /&gt;
    6          6          -0.000027942    0.000029498   -0.000004309&lt;br /&gt;
    7          1          -0.000005514   -0.000008927    0.000005717&lt;br /&gt;
    8          1          -0.000009821   -0.000010464   -0.000005382&lt;br /&gt;
    9          6           0.000024562    0.000035544    0.000007496&lt;br /&gt;
   10          1           0.000018490   -0.000023618    0.000015124&lt;br /&gt;
   11          1          -0.000002035   -0.000021979   -0.000017237&lt;br /&gt;
   12          6          -0.000044539    0.000007791    0.000030186&lt;br /&gt;
   13          1           0.000022329   -0.000036459    0.000000665&lt;br /&gt;
   14          6          -0.000054748    0.000028786   -0.000011255&lt;br /&gt;
   15          1           0.000008110    0.000009372    0.000001166&lt;br /&gt;
   16          1          -0.000010086   -0.000008051   -0.000007297&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000057207 RMS     0.000021627&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000078844 RMS     0.000021450&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   6 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2  3  4  5&lt;br /&gt;
                                                        6&lt;br /&gt;
 Trust test= 2.78D+00 RLast= 1.44D-02 DXMaxT set to 4.24D-01&lt;br /&gt;
     Eigenvalues ---   -0.00249   0.00237   0.00237   0.01247   0.01250&lt;br /&gt;
     Eigenvalues ---    0.02655   0.02681   0.02681   0.02681   0.03962&lt;br /&gt;
     Eigenvalues ---    0.03969   0.04716   0.05321   0.08149   0.09155&lt;br /&gt;
     Eigenvalues ---    0.12460   0.12743   0.12744   0.14238   0.15889&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16000   0.19197   0.21761&lt;br /&gt;
     Eigenvalues ---    0.21969   0.22004   0.27752   0.28521   0.30326&lt;br /&gt;
     Eigenvalues ---    0.36997   0.37200   0.37223   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37303   0.38196&lt;br /&gt;
     Eigenvalues ---    0.53932   0.595041000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-2.49452974D-03.&lt;br /&gt;
 Skip linear search -- no minimum in search direction.&lt;br /&gt;
 Maximum step size (   0.424) exceeded in Quadratic search.&lt;br /&gt;
    -- Step size scaled by   0.011&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.09213804 RMS(Int)=  0.00404672&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00559775 RMS(Int)=  0.00001336&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00001417 RMS(Int)=  0.00000190&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000190&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03181   0.00000   0.00000  -0.00035  -0.00035   2.03146&lt;br /&gt;
    R2        2.02814   0.00000   0.00000   0.00013   0.00013   2.02827&lt;br /&gt;
    R3        2.48678   0.00006   0.00000  -0.00097  -0.00097   2.48581&lt;br /&gt;
    R4        2.03426   0.00000   0.00000   0.00004   0.00004   2.03430&lt;br /&gt;
    R5        2.87157   0.00008   0.00000  -0.00060  -0.00060   2.87098&lt;br /&gt;
    R6        2.05201   0.00000   0.00000  -0.00035  -0.00035   2.05165&lt;br /&gt;
    R7        2.05203   0.00001   0.00000   0.00046   0.00046   2.05250&lt;br /&gt;
    R8        2.91512   0.00002   0.00000   0.00199   0.00199   2.91711&lt;br /&gt;
    R9        2.05204   0.00001   0.00000   0.00090   0.00090   2.05294&lt;br /&gt;
   R10        2.05199  -0.00001   0.00000  -0.00077  -0.00077   2.05123&lt;br /&gt;
   R11        2.87158   0.00008   0.00000  -0.00072  -0.00072   2.87086&lt;br /&gt;
   R12        2.03427   0.00000   0.00000  -0.00002  -0.00002   2.03425&lt;br /&gt;
   R13        2.48679   0.00006   0.00000  -0.00102  -0.00102   2.48577&lt;br /&gt;
   R14        2.03181   0.00000   0.00000  -0.00039  -0.00039   2.03142&lt;br /&gt;
   R15        2.02814   0.00001   0.00000   0.00015   0.00015   2.02829&lt;br /&gt;
    A1        2.02920   0.00000   0.00000   0.00001   0.00001   2.02921&lt;br /&gt;
    A2        2.12950  -0.00002   0.00000  -0.00050  -0.00050   2.12900&lt;br /&gt;
    A3        2.12449   0.00002   0.00000   0.00048   0.00048   2.12497&lt;br /&gt;
    A4        2.08230   0.00002   0.00000  -0.00020  -0.00020   2.08210&lt;br /&gt;
    A5        2.17516   0.00001   0.00000   0.00049   0.00049   2.17565&lt;br /&gt;
    A6        2.02572  -0.00003   0.00000  -0.00029  -0.00029   2.02543&lt;br /&gt;
    A7        1.91142   0.00000   0.00000   0.00148   0.00148   1.91290&lt;br /&gt;
    A8        1.91135  -0.00001   0.00000  -0.00077  -0.00077   1.91058&lt;br /&gt;
    A9        1.96152   0.00003   0.00000  -0.00147  -0.00147   1.96006&lt;br /&gt;
   A10        1.87303   0.00000   0.00000  -0.00213  -0.00213   1.87090&lt;br /&gt;
   A11        1.90221  -0.00001   0.00000   0.00184   0.00184   1.90405&lt;br /&gt;
   A12        1.90218  -0.00001   0.00000   0.00101   0.00101   1.90319&lt;br /&gt;
   A13        1.90215  -0.00002   0.00000   0.00010   0.00010   1.90225&lt;br /&gt;
   A14        1.90224  -0.00001   0.00000   0.00284   0.00284   1.90508&lt;br /&gt;
   A15        1.96152   0.00003   0.00000  -0.00143  -0.00144   1.96009&lt;br /&gt;
   A16        1.87304   0.00000   0.00000  -0.00210  -0.00210   1.87094&lt;br /&gt;
   A17        1.91134  -0.00001   0.00000  -0.00105  -0.00105   1.91028&lt;br /&gt;
   A18        1.91142   0.00000   0.00000   0.00160   0.00160   1.91303&lt;br /&gt;
   A19        2.02572  -0.00003   0.00000  -0.00037  -0.00038   2.02534&lt;br /&gt;
   A20        2.17516   0.00001   0.00000   0.00052   0.00051   2.17567&lt;br /&gt;
   A21        2.08231   0.00002   0.00000  -0.00015  -0.00016   2.08215&lt;br /&gt;
   A22        2.12950  -0.00002   0.00000  -0.00055  -0.00055   2.12895&lt;br /&gt;
   A23        2.12449   0.00002   0.00000   0.00053   0.00053   2.12502&lt;br /&gt;
   A24        2.02920   0.00000   0.00000   0.00002   0.00002   2.02922&lt;br /&gt;
    D1        3.14154   0.00000   0.00000  -0.00240  -0.00240   3.13914&lt;br /&gt;
    D2       -0.00016   0.00000   0.00000  -0.00475  -0.00475  -0.00491&lt;br /&gt;
    D3       -0.00004   0.00000   0.00000  -0.00142  -0.00142  -0.00146&lt;br /&gt;
    D4        3.14145   0.00000   0.00000  -0.00377  -0.00377   3.13768&lt;br /&gt;
    D5        1.02132  -0.00001   0.00000  -0.05922  -0.05922   0.96210&lt;br /&gt;
    D6       -1.02819  -0.00001   0.00000  -0.05706  -0.05706  -1.08524&lt;br /&gt;
    D7        3.13820  -0.00001   0.00000  -0.05684  -0.05684   3.08137&lt;br /&gt;
    D8       -2.12037  -0.00001   0.00000  -0.06151  -0.06151  -2.18188&lt;br /&gt;
    D9        2.11331  -0.00001   0.00000  -0.05935  -0.05934   2.05396&lt;br /&gt;
   D10       -0.00349  -0.00001   0.00000  -0.05912  -0.05912  -0.06261&lt;br /&gt;
   D11        1.01951  -0.00001   0.00000  -0.00036  -0.00036   1.01915&lt;br /&gt;
   D12       -1.01951   0.00000   0.00000   0.00050   0.00050  -1.01901&lt;br /&gt;
   D13        3.14151   0.00000   0.00000  -0.00256  -0.00256   3.13894&lt;br /&gt;
   D14       -3.14153   0.00000   0.00000   0.00182   0.00182  -3.13971&lt;br /&gt;
   D15        1.10264   0.00001   0.00000   0.00268   0.00268   1.10532&lt;br /&gt;
   D16       -1.01953   0.00000   0.00000  -0.00038  -0.00038  -1.01992&lt;br /&gt;
   D17       -1.10253  -0.00001   0.00000   0.00087   0.00087  -1.10166&lt;br /&gt;
   D18       -3.14155   0.00000   0.00000   0.00173   0.00173  -3.13981&lt;br /&gt;
   D19        1.01947  -0.00001   0.00000  -0.00133  -0.00133   1.01814&lt;br /&gt;
   D20       -0.01028  -0.00002   0.00000  -0.16478  -0.16478  -0.17505&lt;br /&gt;
   D21        3.13160  -0.00002   0.00000  -0.15687  -0.15687   2.97472&lt;br /&gt;
   D22        2.10647  -0.00003   0.00000  -0.16633  -0.16633   1.94014&lt;br /&gt;
   D23       -1.03484  -0.00002   0.00000  -0.15843  -0.15843  -1.19327&lt;br /&gt;
   D24       -2.12720  -0.00003   0.00000  -0.16855  -0.16855  -2.29575&lt;br /&gt;
   D25        1.01467  -0.00002   0.00000  -0.16064  -0.16065   0.85403&lt;br /&gt;
   D26       -0.00045  -0.00001   0.00000  -0.01312  -0.01312  -0.01357&lt;br /&gt;
   D27        3.14119  -0.00001   0.00000  -0.01194  -0.01194   3.12925&lt;br /&gt;
   D28        3.14143  -0.00001   0.00000  -0.00498  -0.00498   3.13645&lt;br /&gt;
   D29       -0.00012  -0.00001   0.00000  -0.00379  -0.00379  -0.00391&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000079     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000021     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.423411     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.092188     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.513179D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        0.006782    0.066848   -0.011287&lt;br /&gt;
    2          1             0        0.083421    0.157936    1.057104&lt;br /&gt;
    3          1             0        0.932276    0.057252   -0.554764&lt;br /&gt;
    4          6             0       -1.155045   -0.026672   -0.621024&lt;br /&gt;
    5          1             0       -1.181489   -0.113937   -1.693663&lt;br /&gt;
    6          6             0       -2.502063   -0.024838    0.081597&lt;br /&gt;
    7          1             0       -2.588463    0.862509    0.701168&lt;br /&gt;
    8          1             0       -2.567205   -0.884917    0.741678&lt;br /&gt;
    9          6             0       -3.681779   -0.062897   -0.913256&lt;br /&gt;
   10          1             0       -3.594746   -0.952296   -1.530989&lt;br /&gt;
   11          1             0       -3.617364    0.795063   -1.575060&lt;br /&gt;
   12          6             0       -5.028715   -0.064790   -0.210614&lt;br /&gt;
   13          1             0       -5.005218   -0.208872    0.855918&lt;br /&gt;
   14          6             0       -6.187585    0.086047   -0.814417&lt;br /&gt;
   15          1             0       -6.260932    0.237243   -1.876183&lt;br /&gt;
   16          1             0       -7.113782    0.065942   -0.272404&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.075003   0.000000&lt;br /&gt;
     3  H    1.073313   1.824504   0.000000&lt;br /&gt;
     4  C    1.315434   2.093799   2.090059   0.000000&lt;br /&gt;
     5  H    2.067621   3.039841   2.407156   1.076508   0.000000&lt;br /&gt;
     6  C    2.512237   2.769431   3.493763   1.519255   2.214363&lt;br /&gt;
     7  H    2.806415   2.786051   3.823796   2.143250   2.944188&lt;br /&gt;
     8  H    2.845737   2.865808   3.849002   2.141900   2.906115&lt;br /&gt;
     9  C    3.799455   4.255328   4.629520   2.543834   2.619750&lt;br /&gt;
    10  H    4.039696   4.632467   4.739845   2.763504   2.559905&lt;br /&gt;
    11  H    4.013741   4.585851   4.720656   2.765583   2.602659&lt;br /&gt;
    12  C    5.041159   5.271684   5.972165   3.895537   4.123469&lt;br /&gt;
    13  H    5.093938   5.105808   6.108575   4.127758   4.596769&lt;br /&gt;
    14  C    6.246244   6.544714   7.124653   5.037516   5.086656&lt;br /&gt;
    15  H    6.541492   6.990085   7.315791   5.264519   5.094839&lt;br /&gt;
    16  H    7.125349   7.319548   8.051016   5.969644   6.102822&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085688   0.000000&lt;br /&gt;
     8  H    1.086134   1.748025   0.000000&lt;br /&gt;
     9  C    1.543667   2.158259   2.157961   0.000000&lt;br /&gt;
    10  H    2.157445   3.047729   2.495074   1.086370   0.000000&lt;br /&gt;
    11  H    2.158852   2.498880   3.048350   1.085462   1.748061&lt;br /&gt;
    12  C    2.543807   2.765151   2.763784   1.519193   2.141805&lt;br /&gt;
    13  H    2.626638   2.648114   2.532587   2.214222   2.870442&lt;br /&gt;
    14  C    3.794497   3.981654   4.058492   2.512174   2.883479&lt;br /&gt;
    15  H    4.246256   4.529981   4.664340   2.769359   2.939850&lt;br /&gt;
    16  H    4.626176   4.696900   4.754351   3.493699   3.873559&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.143121   0.000000&lt;br /&gt;
    13  H    2.973832   1.076477   0.000000&lt;br /&gt;
    14  C    2.772601   1.315412   2.067604   0.000000&lt;br /&gt;
    15  H    2.718509   2.093730   3.039772   1.074983   0.000000&lt;br /&gt;
    16  H    3.801771   2.090075   2.407213   1.073323   1.824501&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -3.122210   -0.115712   -0.069283&lt;br /&gt;
    2          1             0       -3.296979   -1.171444   -0.171831&lt;br /&gt;
    3          1             0       -3.993711    0.510545   -0.052292&lt;br /&gt;
    4          6             0       -1.909107    0.383383    0.028962&lt;br /&gt;
    5          1             0       -1.783932    1.448009    0.127814&lt;br /&gt;
    6          6             0       -0.632528   -0.440234    0.017323&lt;br /&gt;
    7          1             0       -0.604103   -1.055375   -0.876832&lt;br /&gt;
    8          1             0       -0.627927   -1.112888    0.870084&lt;br /&gt;
    9          6             0        0.633823    0.441276    0.064258&lt;br /&gt;
   10          1             0        0.604601    1.054623    0.960446&lt;br /&gt;
   11          1             0        0.630107    1.115555   -0.786366&lt;br /&gt;
   12          6             0        1.910322   -0.382395    0.056346&lt;br /&gt;
   13          1             0        1.788786   -1.443745    0.188888&lt;br /&gt;
   14          6             0        3.119784    0.113739   -0.089811&lt;br /&gt;
   15          1             0        3.290516    1.165831   -0.229599&lt;br /&gt;
   16          1             0        3.992137   -0.511450   -0.077088&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     20.8638669      1.2749591      1.2218126&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.1414805276 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.685634076     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.3529D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000635619    0.000306959    0.000257046&lt;br /&gt;
    2          1           0.000064502   -0.000000594    0.000150534&lt;br /&gt;
    3          1          -0.000045077   -0.000010745    0.000018634&lt;br /&gt;
    4          6          -0.000306608   -0.000051116   -0.000416163&lt;br /&gt;
    5          1          -0.000040636   -0.000274883    0.000021633&lt;br /&gt;
    6          6          -0.000150882    0.000415553   -0.000363961&lt;br /&gt;
    7          1          -0.000059304    0.000037790   -0.000112032&lt;br /&gt;
    8          1          -0.000195888   -0.000246583   -0.000359514&lt;br /&gt;
    9          6          -0.000062074    0.000437360    0.000555997&lt;br /&gt;
   10          1           0.000231162   -0.000387711    0.000571717&lt;br /&gt;
   11          1          -0.000039726   -0.000047232   -0.000083816&lt;br /&gt;
   12          6           0.000542412   -0.000259545    0.000199292&lt;br /&gt;
   13          1           0.000084370   -0.000651126   -0.000041514&lt;br /&gt;
   14          6          -0.000645870    0.000693592   -0.000248865&lt;br /&gt;
   15          1          -0.000063401   -0.000005618   -0.000136417&lt;br /&gt;
   16          1           0.000051400    0.000043900   -0.000012572&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000693592 RMS     0.000302156&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000846128 RMS     0.000243593&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   7 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  1  2  3  4  5&lt;br /&gt;
                                                        6  7&lt;br /&gt;
 Trust test= 9.43D-01 RLast= 4.24D-01 DXMaxT set to 6.00D-01&lt;br /&gt;
     Eigenvalues ---   -0.00238   0.00237   0.00237   0.01245   0.01250&lt;br /&gt;
     Eigenvalues ---    0.02651   0.02681   0.02681   0.02681   0.03964&lt;br /&gt;
     Eigenvalues ---    0.03972   0.05312   0.05353   0.06730   0.09149&lt;br /&gt;
     Eigenvalues ---    0.11465   0.12737   0.12739   0.13863   0.15775&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.16002   0.20073   0.21953&lt;br /&gt;
     Eigenvalues ---    0.21997   0.22582   0.27759   0.28500   0.31646&lt;br /&gt;
     Eigenvalues ---    0.36141   0.37199   0.37221   0.37230   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37276   0.37855&lt;br /&gt;
     Eigenvalues ---    0.53929   0.580731000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-2.79568370D-03.&lt;br /&gt;
 Skip linear search -- no minimum in search direction.&lt;br /&gt;
 Maximum step size (   0.600) exceeded in Quadratic search.&lt;br /&gt;
    -- Step size scaled by   0.232&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.11825848 RMS(Int)=  0.01128315&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.01723390 RMS(Int)=  0.00014778&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00021154 RMS(Int)=  0.00000265&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000003 RMS(Int)=  0.00000265&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03146   0.00015   0.00000   0.00098   0.00098   2.03244&lt;br /&gt;
    R2        2.02827  -0.00005   0.00000  -0.00019  -0.00019   2.02808&lt;br /&gt;
    R3        2.48581   0.00080   0.00000   0.00175   0.00175   2.48756&lt;br /&gt;
    R4        2.03430   0.00000   0.00000   0.00111   0.00111   2.03541&lt;br /&gt;
    R5        2.87098   0.00026   0.00000  -0.00046  -0.00046   2.87052&lt;br /&gt;
    R6        2.05165  -0.00003   0.00000   0.00033   0.00033   2.05199&lt;br /&gt;
    R7        2.05250  -0.00001   0.00000   0.00151   0.00151   2.05400&lt;br /&gt;
    R8        2.91711  -0.00059   0.00000  -0.00233  -0.00233   2.91478&lt;br /&gt;
    R9        2.05294   0.00001   0.00000   0.00219   0.00219   2.05513&lt;br /&gt;
   R10        2.05123   0.00001   0.00000  -0.00005  -0.00005   2.05118&lt;br /&gt;
   R11        2.87086  -0.00008   0.00000  -0.00257  -0.00257   2.86828&lt;br /&gt;
   R12        2.03425   0.00005   0.00000   0.00125   0.00125   2.03550&lt;br /&gt;
   R13        2.48577   0.00085   0.00000   0.00188   0.00188   2.48765&lt;br /&gt;
   R14        2.03142   0.00014   0.00000   0.00082   0.00082   2.03225&lt;br /&gt;
   R15        2.02829  -0.00005   0.00000  -0.00014  -0.00014   2.02815&lt;br /&gt;
    A1        2.02921  -0.00003   0.00000  -0.00163  -0.00163   2.02758&lt;br /&gt;
    A2        2.12900   0.00008   0.00000   0.00157   0.00157   2.13057&lt;br /&gt;
    A3        2.12497  -0.00005   0.00000   0.00006   0.00006   2.12504&lt;br /&gt;
    A4        2.08210   0.00006   0.00000   0.00187   0.00187   2.08397&lt;br /&gt;
    A5        2.17565  -0.00002   0.00000   0.00153   0.00153   2.17717&lt;br /&gt;
    A6        2.02543  -0.00004   0.00000  -0.00340  -0.00340   2.02203&lt;br /&gt;
    A7        1.91290  -0.00008   0.00000   0.00276   0.00276   1.91566&lt;br /&gt;
    A8        1.91058  -0.00008   0.00000  -0.00042  -0.00042   1.91016&lt;br /&gt;
    A9        1.96006   0.00050   0.00000   0.00216   0.00216   1.96222&lt;br /&gt;
   A10        1.87090   0.00024   0.00000   0.00222   0.00221   1.87311&lt;br /&gt;
   A11        1.90405  -0.00028   0.00000  -0.00261  -0.00261   1.90143&lt;br /&gt;
   A12        1.90319  -0.00030   0.00000  -0.00413  -0.00414   1.89906&lt;br /&gt;
   A13        1.90225  -0.00025   0.00000  -0.00468  -0.00468   1.89757&lt;br /&gt;
   A14        1.90508  -0.00029   0.00000  -0.00130  -0.00130   1.90378&lt;br /&gt;
   A15        1.96009   0.00048   0.00000   0.00185   0.00184   1.96193&lt;br /&gt;
   A16        1.87094   0.00025   0.00000   0.00269   0.00268   1.87363&lt;br /&gt;
   A17        1.91028  -0.00013   0.00000  -0.00165  -0.00165   1.90863&lt;br /&gt;
   A18        1.91303  -0.00007   0.00000   0.00311   0.00311   1.91613&lt;br /&gt;
   A19        2.02534  -0.00013   0.00000  -0.00439  -0.00439   2.02095&lt;br /&gt;
   A20        2.17567   0.00000   0.00000   0.00162   0.00162   2.17728&lt;br /&gt;
   A21        2.08215   0.00013   0.00000   0.00274   0.00273   2.08488&lt;br /&gt;
   A22        2.12895   0.00008   0.00000   0.00151   0.00151   2.13046&lt;br /&gt;
   A23        2.12502  -0.00005   0.00000   0.00010   0.00010   2.12512&lt;br /&gt;
   A24        2.02922  -0.00003   0.00000  -0.00162  -0.00162   2.02760&lt;br /&gt;
    D1        3.13914   0.00002   0.00000  -0.00175  -0.00175   3.13739&lt;br /&gt;
    D2       -0.00491   0.00001   0.00000  -0.00532  -0.00532  -0.01023&lt;br /&gt;
    D3       -0.00146  -0.00001   0.00000  -0.00196  -0.00195  -0.00341&lt;br /&gt;
    D4        3.13768  -0.00001   0.00000  -0.00552  -0.00553   3.13215&lt;br /&gt;
    D5        0.96210  -0.00006   0.00000  -0.08397  -0.08397   0.87813&lt;br /&gt;
    D6       -1.08524  -0.00026   0.00000  -0.08801  -0.08801  -1.17326&lt;br /&gt;
    D7        3.08137  -0.00015   0.00000  -0.08391  -0.08391   2.99746&lt;br /&gt;
    D8       -2.18188  -0.00007   0.00000  -0.08742  -0.08742  -2.26930&lt;br /&gt;
    D9        2.05396  -0.00026   0.00000  -0.09146  -0.09146   1.96250&lt;br /&gt;
   D10       -0.06261  -0.00015   0.00000  -0.08736  -0.08736  -0.14997&lt;br /&gt;
   D11        1.01915   0.00000   0.00000  -0.00064  -0.00064   1.01850&lt;br /&gt;
   D12       -1.01901   0.00000   0.00000  -0.00050  -0.00050  -1.01951&lt;br /&gt;
   D13        3.13894  -0.00003   0.00000  -0.00476  -0.00476   3.13418&lt;br /&gt;
   D14       -3.13971   0.00003   0.00000   0.00247   0.00247  -3.13724&lt;br /&gt;
   D15        1.10532   0.00003   0.00000   0.00261   0.00261   1.10792&lt;br /&gt;
   D16       -1.01992   0.00000   0.00000  -0.00165  -0.00165  -1.02156&lt;br /&gt;
   D17       -1.10166  -0.00001   0.00000   0.00134   0.00134  -1.10032&lt;br /&gt;
   D18       -3.13981  -0.00001   0.00000   0.00148   0.00148  -3.13833&lt;br /&gt;
   D19        1.01814  -0.00004   0.00000  -0.00278  -0.00277   1.01536&lt;br /&gt;
   D20       -0.17505  -0.00038   0.00000  -0.22844  -0.22843  -0.40348&lt;br /&gt;
   D21        2.97472  -0.00042   0.00000  -0.22390  -0.22391   2.75082&lt;br /&gt;
   D22        1.94014  -0.00048   0.00000  -0.23429  -0.23429   1.70585&lt;br /&gt;
   D23       -1.19327  -0.00051   0.00000  -0.22976  -0.22976  -1.42303&lt;br /&gt;
   D24       -2.29575  -0.00029   0.00000  -0.23020  -0.23020  -2.52595&lt;br /&gt;
   D25        0.85403  -0.00033   0.00000  -0.22566  -0.22567   0.62836&lt;br /&gt;
   D26       -0.01357   0.00004   0.00000  -0.01203  -0.01203  -0.02561&lt;br /&gt;
   D27        3.12925   0.00006   0.00000  -0.00973  -0.00974   3.11951&lt;br /&gt;
   D28        3.13645   0.00001   0.00000  -0.00733  -0.00732   3.12913&lt;br /&gt;
   D29       -0.00391   0.00002   0.00000  -0.00503  -0.00502  -0.00893&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000846     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000244     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.579289     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.130894     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.076267D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.005076    0.156189   -0.016270&lt;br /&gt;
    2          1             0        0.059605    0.370807    1.035635&lt;br /&gt;
    3          1             0        0.924309    0.131666   -0.552393&lt;br /&gt;
    4          6             0       -1.156455   -0.063465   -0.615334&lt;br /&gt;
    5          1             0       -1.171597   -0.270705   -1.672193&lt;br /&gt;
    6          6             0       -2.508072   -0.056978    0.077842&lt;br /&gt;
    7          1             0       -2.613805    0.848584    0.667656&lt;br /&gt;
    8          1             0       -2.567182   -0.898408    0.763350&lt;br /&gt;
    9          6             0       -3.681344   -0.144778   -0.919571&lt;br /&gt;
   10          1             0       -3.574342   -1.054917   -1.505159&lt;br /&gt;
   11          1             0       -3.624640    0.692003   -1.608597&lt;br /&gt;
   12          6             0       -5.031420   -0.148647   -0.225964&lt;br /&gt;
   13          1             0       -5.030166   -0.475940    0.800244&lt;br /&gt;
   14          6             0       -6.167191    0.200155   -0.792787&lt;br /&gt;
   15          1             0       -6.215403    0.543790   -1.810685&lt;br /&gt;
   16          1             0       -7.099128    0.160265   -0.261972&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.075522   0.000000&lt;br /&gt;
     3  H    1.073213   1.823934   0.000000&lt;br /&gt;
     4  C    1.316359   2.095971   2.090842   0.000000&lt;br /&gt;
     5  H    2.070046   3.042980   2.410120   1.077093   0.000000&lt;br /&gt;
     6  C    2.513819   2.773686   3.494857   1.519014   2.212345&lt;br /&gt;
     7  H    2.784355   2.740583   3.810609   2.145172   2.967771&lt;br /&gt;
     8  H    2.878258   2.930026   3.870754   2.141973   2.876376&lt;br /&gt;
     9  C    3.797563   4.252453   4.628530   2.544452   2.623191&lt;br /&gt;
    10  H    4.052559   4.657670   4.749064   2.760606   2.532997&lt;br /&gt;
    11  H    3.990469   4.546294   4.703454   2.765726   2.635957&lt;br /&gt;
    12  C    5.039944   5.270674   5.971251   3.895410   4.123677&lt;br /&gt;
    13  H    5.130088   5.165090   6.136333   4.144831   4.587332&lt;br /&gt;
    14  C    6.211004   6.491936   7.095904   5.020802   5.094215&lt;br /&gt;
    15  H    6.475980   6.892545   7.261448   5.233600   5.111023&lt;br /&gt;
    16  H    7.098307   7.278431   8.028742   5.957372   6.108198&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.085865   0.000000&lt;br /&gt;
     8  H    1.086931   1.750232   0.000000&lt;br /&gt;
     9  C    1.542436   2.155388   2.154423   0.000000&lt;br /&gt;
    10  H    2.153765   3.044187   2.486966   1.087527   0.000000&lt;br /&gt;
    11  H    2.156797   2.495523   3.045285   1.085438   1.750702&lt;br /&gt;
    12  C    2.543224   2.763673   2.759231   1.517831   2.140267&lt;br /&gt;
    13  H    2.656755   2.758757   2.499226   2.210599   2.787385&lt;br /&gt;
    14  C    3.770048   3.896140   4.072895   2.512864   2.967413&lt;br /&gt;
    15  H    4.203779   4.382531   4.692026   2.773024   3.102323&lt;br /&gt;
    16  H    4.608737   4.632074   4.765565   3.493814   3.930178&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.144154   0.000000&lt;br /&gt;
    13  H    3.023592   1.077138   0.000000&lt;br /&gt;
    14  C    2.715147   1.316407   2.070671   0.000000&lt;br /&gt;
    15  H    2.602856   2.095859   3.043285   1.075419   0.000000&lt;br /&gt;
    16  H    3.764069   2.090966   2.411154   1.073249   1.823890&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -3.109978   -0.118431   -0.160248&lt;br /&gt;
    2          1             0       -3.268786   -1.156374   -0.393064&lt;br /&gt;
    3          1             0       -3.987656    0.498105   -0.123511&lt;br /&gt;
    4          6             0       -1.909318    0.371325    0.066366&lt;br /&gt;
    5          1             0       -1.799418    1.418760    0.292043&lt;br /&gt;
    6          6             0       -0.625119   -0.439675    0.043629&lt;br /&gt;
    7          1             0       -0.573881   -1.020439   -0.872444&lt;br /&gt;
    8          1             0       -0.626323   -1.142525    0.872736&lt;br /&gt;
    9          6             0        0.632778    0.447152    0.145323&lt;br /&gt;
   10          1             0        0.579905    1.023740    1.065901&lt;br /&gt;
   11          1             0        0.636699    1.153208   -0.679083&lt;br /&gt;
   12          6             0        1.915419   -0.364322    0.132935&lt;br /&gt;
   13          1             0        1.822873   -1.391948    0.442203&lt;br /&gt;
   14          6             0        3.096819    0.104795   -0.209334&lt;br /&gt;
   15          1             0        3.235367    1.120238   -0.535228&lt;br /&gt;
   16          1             0        3.977608   -0.507825   -0.181582&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     19.8773120      1.2791616      1.2328666&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.2045751617 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.686598039     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.8744D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000399437    0.000464346    0.000012445&lt;br /&gt;
    2          1          -0.000247672   -0.000043840   -0.000272234&lt;br /&gt;
    3          1          -0.000036261   -0.000035084   -0.000156261&lt;br /&gt;
    4          6           0.000109467   -0.000047879   -0.000296736&lt;br /&gt;
    5          1           0.000375874   -0.000477646    0.000459333&lt;br /&gt;
    6          6          -0.000317109    0.000885628    0.001356896&lt;br /&gt;
    7          1           0.000452973   -0.000534117    0.000209605&lt;br /&gt;
    8          1           0.000156110    0.000110814   -0.000345255&lt;br /&gt;
    9          6          -0.000352737    0.000716965   -0.000748127&lt;br /&gt;
   10          1          -0.000081806   -0.000145450    0.000703226&lt;br /&gt;
   11          1          -0.000698930   -0.000640570   -0.000499800&lt;br /&gt;
   12          6           0.000578187    0.000041470   -0.000416803&lt;br /&gt;
   13          1          -0.000302667   -0.001174080   -0.000682017&lt;br /&gt;
   14          6           0.000464047    0.001139508    0.000229300&lt;br /&gt;
   15          1           0.000257617   -0.000271635    0.000281148&lt;br /&gt;
   16          1           0.000042345    0.000011570    0.000165279&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.001356896 RMS     0.000495136&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.001117333 RMS     0.000379540&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   8 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  7  8&lt;br /&gt;
 Trust test= 8.96D-01 RLast= 6.00D-01 DXMaxT set to 8.49D-01&lt;br /&gt;
     Eigenvalues ---   -0.00191   0.00234   0.00237   0.01248   0.01253&lt;br /&gt;
     Eigenvalues ---    0.02649   0.02678   0.02681   0.02681   0.03960&lt;br /&gt;
     Eigenvalues ---    0.03967   0.05268   0.05337   0.06021   0.09152&lt;br /&gt;
     Eigenvalues ---    0.11377   0.12745   0.12746   0.13862   0.15734&lt;br /&gt;
     Eigenvalues ---    0.15997   0.16000   0.16001   0.20072   0.21959&lt;br /&gt;
     Eigenvalues ---    0.21976   0.22271   0.27410   0.28452   0.31504&lt;br /&gt;
     Eigenvalues ---    0.36136   0.37197   0.37213   0.37228   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37230   0.37276   0.37853&lt;br /&gt;
     Eigenvalues ---    0.53929   0.574931000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-3.32134548D-03.&lt;br /&gt;
 Skip linear search -- no minimum in search direction.&lt;br /&gt;
 Maximum step size (   0.849) exceeded in Quadratic search.&lt;br /&gt;
    -- Step size scaled by   0.556&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.13949217 RMS(Int)=  0.03519609&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.05606616 RMS(Int)=  0.00158103&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00218855 RMS(Int)=  0.00003551&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000237 RMS(Int)=  0.00003546&lt;br /&gt;
 Iteration  5 RMS(Cart)=  0.00000000 RMS(Int)=  0.00003546&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03244  -0.00029   0.00000  -0.00407  -0.00407   2.02837&lt;br /&gt;
    R2        2.02808   0.00005   0.00000   0.00075   0.00075   2.02883&lt;br /&gt;
    R3        2.48756  -0.00072   0.00000  -0.00586  -0.00586   2.48170&lt;br /&gt;
    R4        2.03541  -0.00036   0.00000  -0.00449  -0.00449   2.03092&lt;br /&gt;
    R5        2.87052  -0.00006   0.00000  -0.00022  -0.00022   2.87031&lt;br /&gt;
    R6        2.05199  -0.00038   0.00000  -0.00520  -0.00520   2.04679&lt;br /&gt;
    R7        2.05400  -0.00031   0.00000  -0.00323  -0.00323   2.05077&lt;br /&gt;
    R8        2.91478   0.00072   0.00000   0.01249   0.01249   2.92727&lt;br /&gt;
    R9        2.05513  -0.00026   0.00000  -0.00209  -0.00209   2.05304&lt;br /&gt;
   R10        2.05118  -0.00021   0.00000  -0.00495  -0.00495   2.04623&lt;br /&gt;
   R11        2.86828  -0.00112   0.00000  -0.00943  -0.00943   2.85885&lt;br /&gt;
   R12        2.03550  -0.00029   0.00000  -0.00415  -0.00415   2.03134&lt;br /&gt;
   R13        2.48765  -0.00072   0.00000  -0.00596  -0.00596   2.48169&lt;br /&gt;
   R14        2.03225  -0.00036   0.00000  -0.00454  -0.00454   2.02770&lt;br /&gt;
   R15        2.02815   0.00004   0.00000   0.00069   0.00069   2.02883&lt;br /&gt;
    A1        2.02758   0.00026   0.00000   0.00714   0.00714   2.03472&lt;br /&gt;
    A2        2.13057  -0.00020   0.00000  -0.00634  -0.00634   2.12424&lt;br /&gt;
    A3        2.12504  -0.00006   0.00000  -0.00081  -0.00081   2.12422&lt;br /&gt;
    A4        2.08397  -0.00016   0.00000  -0.00755  -0.00755   2.07642&lt;br /&gt;
    A5        2.17717  -0.00033   0.00000  -0.00500  -0.00500   2.17217&lt;br /&gt;
    A6        2.02203   0.00049   0.00000   0.01253   0.01253   2.03456&lt;br /&gt;
    A7        1.91566  -0.00004   0.00000  -0.00155  -0.00152   1.91414&lt;br /&gt;
    A8        1.91016  -0.00008   0.00000  -0.00618  -0.00616   1.90400&lt;br /&gt;
    A9        1.96222  -0.00036   0.00000  -0.00840  -0.00837   1.95385&lt;br /&gt;
   A10        1.87311  -0.00014   0.00000  -0.00772  -0.00782   1.86528&lt;br /&gt;
   A11        1.90143   0.00030   0.00000   0.01242   0.01240   1.91383&lt;br /&gt;
   A12        1.89906   0.00033   0.00000   0.01157   0.01153   1.91059&lt;br /&gt;
   A13        1.89757   0.00038   0.00000   0.01105   0.01097   1.90854&lt;br /&gt;
   A14        1.90378   0.00040   0.00000   0.01650   0.01646   1.92024&lt;br /&gt;
   A15        1.96193  -0.00045   0.00000  -0.00984  -0.00980   1.95213&lt;br /&gt;
   A16        1.87363  -0.00010   0.00000  -0.00503  -0.00519   1.86843&lt;br /&gt;
   A17        1.90863  -0.00011   0.00000  -0.00879  -0.00876   1.89987&lt;br /&gt;
   A18        1.91613  -0.00010   0.00000  -0.00356  -0.00352   1.91261&lt;br /&gt;
   A19        2.02095   0.00017   0.00000   0.00801   0.00799   2.02894&lt;br /&gt;
   A20        2.17728  -0.00015   0.00000  -0.00274  -0.00276   2.17452&lt;br /&gt;
   A21        2.08488  -0.00003   0.00000  -0.00539  -0.00541   2.07947&lt;br /&gt;
   A22        2.13046  -0.00025   0.00000  -0.00717  -0.00717   2.12329&lt;br /&gt;
   A23        2.12512  -0.00003   0.00000  -0.00026  -0.00026   2.12486&lt;br /&gt;
   A24        2.02760   0.00028   0.00000   0.00743   0.00743   2.03503&lt;br /&gt;
    D1        3.13739  -0.00003   0.00000  -0.00619  -0.00620   3.13119&lt;br /&gt;
    D2       -0.01023  -0.00003   0.00000  -0.00944  -0.00943  -0.01966&lt;br /&gt;
    D3       -0.00341   0.00000   0.00000  -0.00242  -0.00243  -0.00584&lt;br /&gt;
    D4        3.13215   0.00000   0.00000  -0.00566  -0.00565   3.12650&lt;br /&gt;
    D5        0.87813  -0.00048   0.00000  -0.15417  -0.15416   0.72397&lt;br /&gt;
    D6       -1.17326  -0.00024   0.00000  -0.14025  -0.14024  -1.31350&lt;br /&gt;
    D7        2.99746  -0.00037   0.00000  -0.14508  -0.14508   2.85238&lt;br /&gt;
    D8       -2.26930  -0.00048   0.00000  -0.15737  -0.15737  -2.42668&lt;br /&gt;
    D9        1.96250  -0.00025   0.00000  -0.14345  -0.14346   1.81904&lt;br /&gt;
   D10       -0.14997  -0.00037   0.00000  -0.14828  -0.14830  -0.29827&lt;br /&gt;
   D11        1.01850   0.00014   0.00000   0.00096   0.00101   1.01951&lt;br /&gt;
   D12       -1.01951  -0.00017   0.00000  -0.00835  -0.00841  -1.02792&lt;br /&gt;
   D13        3.13418  -0.00002   0.00000  -0.00887  -0.00888   3.12530&lt;br /&gt;
   D14       -3.13724   0.00006   0.00000   0.00213   0.00215  -3.13509&lt;br /&gt;
   D15        1.10792  -0.00025   0.00000  -0.00717  -0.00726   1.10067&lt;br /&gt;
   D16       -1.02156  -0.00010   0.00000  -0.00770  -0.00773  -1.02930&lt;br /&gt;
   D17       -1.10032   0.00025   0.00000   0.00623   0.00632  -1.09400&lt;br /&gt;
   D18       -3.13833  -0.00007   0.00000  -0.00308  -0.00309  -3.14143&lt;br /&gt;
   D19        1.01536   0.00008   0.00000  -0.00360  -0.00357   1.01180&lt;br /&gt;
   D20       -0.40348  -0.00076   0.00000  -0.31473  -0.31476  -0.71825&lt;br /&gt;
   D21        2.75082  -0.00075   0.00000  -0.30275  -0.30275   2.44806&lt;br /&gt;
   D22        1.70585  -0.00065   0.00000  -0.31326  -0.31327   1.39258&lt;br /&gt;
   D23       -1.42303  -0.00064   0.00000  -0.30129  -0.30126  -1.72429&lt;br /&gt;
   D24       -2.52595  -0.00090   0.00000  -0.32662  -0.32663  -2.85258&lt;br /&gt;
   D25        0.62836  -0.00089   0.00000  -0.31464  -0.31462   0.31374&lt;br /&gt;
   D26       -0.02561   0.00011   0.00000  -0.01142  -0.01139  -0.03700&lt;br /&gt;
   D27        3.11951   0.00005   0.00000  -0.01390  -0.01387   3.10564&lt;br /&gt;
   D28        3.12913   0.00012   0.00000   0.00088   0.00085   3.12998&lt;br /&gt;
   D29       -0.00893   0.00006   0.00000  -0.00161  -0.00163  -0.01057&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.001117     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000380     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.727702     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.187656     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.528856D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.049159    0.282888   -0.034975&lt;br /&gt;
    2          1             0       -0.033189    0.681381    0.961551&lt;br /&gt;
    3          1             0        0.892065    0.237808   -0.549469&lt;br /&gt;
    4          6             0       -1.163700   -0.123991   -0.597905&lt;br /&gt;
    5          1             0       -1.130404   -0.506606   -1.601655&lt;br /&gt;
    6          6             0       -2.523996   -0.106101    0.077619&lt;br /&gt;
    7          1             0       -2.642382    0.815218    0.634654&lt;br /&gt;
    8          1             0       -2.573978   -0.917489    0.796546&lt;br /&gt;
    9          6             0       -3.679633   -0.249500   -0.943891&lt;br /&gt;
   10          1             0       -3.559751   -1.178011   -1.495080&lt;br /&gt;
   11          1             0       -3.638107    0.556171   -1.666157&lt;br /&gt;
   12          6             0       -5.032395   -0.254163   -0.266618&lt;br /&gt;
   13          1             0       -5.104590   -0.815471    0.647286&lt;br /&gt;
   14          6             0       -6.101580    0.349387   -0.732669&lt;br /&gt;
   15          1             0       -6.072695    0.928873   -1.635288&lt;br /&gt;
   16          1             0       -7.048414    0.289229   -0.230144&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.073366   0.000000&lt;br /&gt;
     3  H    1.073611   1.826482   0.000000&lt;br /&gt;
     4  C    1.313257   2.087721   2.087921   0.000000&lt;br /&gt;
     5  H    2.060796   3.030713   2.398255   1.074718   0.000000&lt;br /&gt;
     6  C    2.507750   2.757822   3.490127   1.518900   2.218663&lt;br /&gt;
     7  H    2.730675   2.632995   3.771985   2.141919   3.005724&lt;br /&gt;
     8  H    2.916684   3.006530   3.893575   2.136122   2.829152&lt;br /&gt;
     9  C    3.780200   4.218271   4.614485   2.542711   2.645247&lt;br /&gt;
    10  H    4.073130   4.682843   4.766276   2.767118   2.522671&lt;br /&gt;
    11  H    3.951707   4.462730   4.676624   2.779654   2.724377&lt;br /&gt;
    12  C    5.017442   5.232179   5.951577   3.885035   4.131778&lt;br /&gt;
    13  H    5.218166   5.297022   6.204957   4.190377   4.576821&lt;br /&gt;
    14  C    6.092865   6.309197   6.996934   4.962349   5.118638&lt;br /&gt;
    15  H    6.265883   6.578789   7.082688   5.126687   5.146647&lt;br /&gt;
    16  H    7.001979   7.126521   7.947064   5.910656   6.126765&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083113   0.000000&lt;br /&gt;
     8  H    1.085220   1.741597   0.000000&lt;br /&gt;
     9  C    1.549047   2.168253   2.167442   0.000000&lt;br /&gt;
    10  H    2.166832   3.057825   2.508221   1.086422   0.000000&lt;br /&gt;
    11  H    2.172695   2.520378   3.060874   1.082820   1.744361&lt;br /&gt;
    12  C    2.536235   2.769120   2.759371   1.512840   2.128684&lt;br /&gt;
    13  H    2.736273   2.953265   2.537062   2.209676   2.666026&lt;br /&gt;
    14  C    3.696369   3.748682   4.048141   2.503818   3.061881&lt;br /&gt;
    15  H    4.074125   4.114924   4.643694   2.755601   3.282303&lt;br /&gt;
    16  H    4.552073   4.520803   4.746666   3.485448   3.990443&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.135273   0.000000&lt;br /&gt;
    13  H    3.063330   1.074941   0.000000&lt;br /&gt;
    14  C    2.642510   1.313253   2.062804   0.000000&lt;br /&gt;
    15  H    2.463144   2.086878   3.031519   1.073015   0.000000&lt;br /&gt;
    16  H    3.709931   2.088286   2.401811   1.073613   1.826363&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -3.064627   -0.135641   -0.278872&lt;br /&gt;
    2          1             0       -3.164322   -1.137254   -0.651628&lt;br /&gt;
    3          1             0       -3.960004    0.455811   -0.245342&lt;br /&gt;
    4          6             0       -1.905862    0.343482    0.111446&lt;br /&gt;
    5          1             0       -1.854730    1.355958    0.468231&lt;br /&gt;
    6          6             0       -0.606027   -0.442316    0.108487&lt;br /&gt;
    7          1             0       -0.537592   -1.030476   -0.798441&lt;br /&gt;
    8          1             0       -0.612385   -1.142046    0.937969&lt;br /&gt;
    9          6             0        0.630510    0.483576    0.223569&lt;br /&gt;
   10          1             0        0.560129    1.066219    1.137838&lt;br /&gt;
   11          1             0        0.645593    1.186080   -0.600300&lt;br /&gt;
   12          6             0        1.922779   -0.302769    0.243212&lt;br /&gt;
   13          1             0        1.921497   -1.204941    0.827663&lt;br /&gt;
   14          6             0        3.024421    0.057885   -0.373997&lt;br /&gt;
   15          1             0        3.067863    0.944776   -0.976408&lt;br /&gt;
   16          1             0        3.926786   -0.519429   -0.302642&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     17.5845176      1.2992776      1.2697956&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       211.7487273327 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.688387707     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.6871D-08             -V/T =  2.0017&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.002691024    0.001782047    0.000283087&lt;br /&gt;
    2          1           0.000888648    0.000539512    0.001205915&lt;br /&gt;
    3          1          -0.000013395    0.000133662    0.000527317&lt;br /&gt;
    4          6          -0.001598955   -0.000241272    0.000187135&lt;br /&gt;
    5          1          -0.001311279   -0.001774174   -0.000888327&lt;br /&gt;
    6          6           0.001319240    0.000069133   -0.004639717&lt;br /&gt;
    7          1          -0.000907482    0.001178011   -0.000149372&lt;br /&gt;
    8          1          -0.001464373   -0.001999390   -0.000751515&lt;br /&gt;
    9          6          -0.001716994    0.000465413    0.004862234&lt;br /&gt;
   10          1           0.001736388   -0.001474714    0.001235959&lt;br /&gt;
   11          1           0.000960288    0.001372515   -0.000349912&lt;br /&gt;
   12          6           0.001543472   -0.001566716   -0.000960813&lt;br /&gt;
   13          1           0.001172200   -0.002082436    0.000629276&lt;br /&gt;
   14          6          -0.002576217    0.002297427    0.000160804&lt;br /&gt;
   15          1          -0.000869092    0.000578378   -0.001194585&lt;br /&gt;
   16          1           0.000146526    0.000722604   -0.000157484&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.004862234 RMS     0.001562529&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.004762236 RMS     0.001306014&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number   9 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  8  9&lt;br /&gt;
 Trust test= 7.08D-01 RLast= 8.49D-01 DXMaxT set to 8.49D-01&lt;br /&gt;
     Eigenvalues ---    0.00008   0.00237   0.00251   0.01240   0.01274&lt;br /&gt;
     Eigenvalues ---    0.02661   0.02680   0.02681   0.02692   0.03986&lt;br /&gt;
     Eigenvalues ---    0.03999   0.05289   0.05379   0.09124   0.10230&lt;br /&gt;
     Eigenvalues ---    0.12694   0.12710   0.13740   0.14995   0.15997&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16000   0.17445   0.20145   0.21941&lt;br /&gt;
     Eigenvalues ---    0.21998   0.25607   0.28444   0.30423   0.34102&lt;br /&gt;
     Eigenvalues ---    0.37112   0.37213   0.37226   0.37229   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37230   0.37276   0.37551   0.40354&lt;br /&gt;
     Eigenvalues ---    0.53932   0.808971000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.18056972D-03.&lt;br /&gt;
 Quartic linear search produced a step of  0.91211.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.15824508 RMS(Int)=  0.07558644&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.11038661 RMS(Int)=  0.01436631&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.02230360 RMS(Int)=  0.00025629&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00035993 RMS(Int)=  0.00004195&lt;br /&gt;
 Iteration  5 RMS(Cart)=  0.00000008 RMS(Int)=  0.00004195&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02837   0.00133  -0.00372   0.00206  -0.00166   2.02671&lt;br /&gt;
    R2        2.02883  -0.00027   0.00069  -0.00031   0.00038   2.02921&lt;br /&gt;
    R3        2.48170   0.00465  -0.00535   0.00369  -0.00165   2.48004&lt;br /&gt;
    R4        2.03092   0.00142  -0.00409   0.00248  -0.00162   2.02931&lt;br /&gt;
    R5        2.87031   0.00000  -0.00020  -0.00197  -0.00217   2.86814&lt;br /&gt;
    R6        2.04679   0.00102  -0.00474   0.00132  -0.00342   2.04336&lt;br /&gt;
    R7        2.05077   0.00106  -0.00295   0.00246  -0.00048   2.05028&lt;br /&gt;
    R8        2.92727  -0.00311   0.01139  -0.00439   0.00700   2.93428&lt;br /&gt;
    R9        2.05304   0.00082  -0.00190   0.00276   0.00086   2.05390&lt;br /&gt;
   R10        2.04623   0.00129  -0.00451   0.00203  -0.00248   2.04375&lt;br /&gt;
   R11        2.85885  -0.00016  -0.00860  -0.00866  -0.01726   2.84159&lt;br /&gt;
   R12        2.03134   0.00154  -0.00379   0.00299  -0.00080   2.03054&lt;br /&gt;
   R13        2.48169   0.00476  -0.00544   0.00389  -0.00155   2.48014&lt;br /&gt;
   R14        2.02770   0.00129  -0.00414   0.00157  -0.00257   2.02513&lt;br /&gt;
   R15        2.02883  -0.00024   0.00063  -0.00021   0.00042   2.02925&lt;br /&gt;
    A1        2.03472  -0.00090   0.00651  -0.00391   0.00260   2.03731&lt;br /&gt;
    A2        2.12424   0.00086  -0.00578   0.00356  -0.00223   2.12201&lt;br /&gt;
    A3        2.12422   0.00005  -0.00074   0.00036  -0.00038   2.12384&lt;br /&gt;
    A4        2.07642   0.00115  -0.00688   0.00501  -0.00188   2.07454&lt;br /&gt;
    A5        2.17217   0.00086  -0.00456   0.00295  -0.00162   2.17055&lt;br /&gt;
    A6        2.03456  -0.00201   0.01143  -0.00798   0.00345   2.03800&lt;br /&gt;
    A7        1.91414  -0.00011  -0.00139   0.00258   0.00122   1.91536&lt;br /&gt;
    A8        1.90400   0.00004  -0.00562   0.00134  -0.00425   1.89975&lt;br /&gt;
    A9        1.95385   0.00225  -0.00763   0.00452  -0.00309   1.95076&lt;br /&gt;
   A10        1.86528   0.00115  -0.00714   0.00538  -0.00186   1.86343&lt;br /&gt;
   A11        1.91383  -0.00166   0.01131  -0.00674   0.00454   1.91837&lt;br /&gt;
   A12        1.91059  -0.00172   0.01052  -0.00703   0.00344   1.91402&lt;br /&gt;
   A13        1.90854  -0.00160   0.01001  -0.00697   0.00291   1.91145&lt;br /&gt;
   A14        1.92024  -0.00163   0.01501  -0.00498   0.00998   1.93022&lt;br /&gt;
   A15        1.95213   0.00173  -0.00894   0.00207  -0.00684   1.94528&lt;br /&gt;
   A16        1.86843   0.00105  -0.00474   0.00669   0.00177   1.87020&lt;br /&gt;
   A17        1.89987   0.00027  -0.00799   0.00075  -0.00722   1.89265&lt;br /&gt;
   A18        1.91261   0.00016  -0.00321   0.00266  -0.00049   1.91213&lt;br /&gt;
   A19        2.02894  -0.00213   0.00728  -0.01126  -0.00400   2.02494&lt;br /&gt;
   A20        2.17452   0.00101  -0.00252   0.00443   0.00189   2.17641&lt;br /&gt;
   A21        2.07947   0.00113  -0.00494   0.00712   0.00216   2.08164&lt;br /&gt;
   A22        2.12329   0.00083  -0.00654   0.00296  -0.00358   2.11971&lt;br /&gt;
   A23        2.12486   0.00006  -0.00024   0.00073   0.00049   2.12535&lt;br /&gt;
   A24        2.03503  -0.00089   0.00678  -0.00369   0.00309   2.03812&lt;br /&gt;
    D1        3.13119   0.00009  -0.00566  -0.00038  -0.00605   3.12514&lt;br /&gt;
    D2       -0.01966   0.00005  -0.00860  -0.00314  -0.01173  -0.03138&lt;br /&gt;
    D3       -0.00584  -0.00004  -0.00221  -0.00177  -0.00400  -0.00983&lt;br /&gt;
    D4        3.12650  -0.00007  -0.00515  -0.00453  -0.00967   3.11683&lt;br /&gt;
    D5        0.72397   0.00004  -0.14061  -0.11229  -0.25288   0.47108&lt;br /&gt;
    D6       -1.31350  -0.00131  -0.12792  -0.12100  -0.24890  -1.56240&lt;br /&gt;
    D7        2.85238  -0.00064  -0.13233  -0.11600  -0.24834   2.60404&lt;br /&gt;
    D8       -2.42668   0.00002  -0.14354  -0.11492  -0.25847  -2.68515&lt;br /&gt;
    D9        1.81904  -0.00132  -0.13085  -0.12364  -0.25449   1.56455&lt;br /&gt;
   D10       -0.29827  -0.00065  -0.13526  -0.11864  -0.25393  -0.55220&lt;br /&gt;
   D11        1.01951  -0.00031   0.00092  -0.00333  -0.00235   1.01716&lt;br /&gt;
   D12       -1.02792   0.00031  -0.00767  -0.00443  -0.01216  -1.04008&lt;br /&gt;
   D13        3.12530   0.00007  -0.00810  -0.00574  -0.01384   3.11146&lt;br /&gt;
   D14       -3.13509  -0.00009   0.00196  -0.00171   0.00029  -3.13480&lt;br /&gt;
   D15        1.10067   0.00053  -0.00662  -0.00281  -0.00953   1.09114&lt;br /&gt;
   D16       -1.02930   0.00029  -0.00705  -0.00412  -0.01121  -1.04050&lt;br /&gt;
   D17       -1.09400  -0.00066   0.00576  -0.00318   0.00269  -1.09131&lt;br /&gt;
   D18       -3.14143  -0.00005  -0.00282  -0.00427  -0.00712   3.13464&lt;br /&gt;
   D19        1.01180  -0.00029  -0.00325  -0.00559  -0.00880   1.00299&lt;br /&gt;
   D20       -0.71825  -0.00055  -0.28710  -0.14869  -0.43583  -1.15408&lt;br /&gt;
   D21        2.44806  -0.00096  -0.27615  -0.16261  -0.43877   2.00929&lt;br /&gt;
   D22        1.39258  -0.00127  -0.28573  -0.15558  -0.44131   0.95128&lt;br /&gt;
   D23       -1.72429  -0.00168  -0.27478  -0.16951  -0.44424  -2.16853&lt;br /&gt;
   D24       -2.85258   0.00025  -0.29792  -0.14562  -0.44356   2.98705&lt;br /&gt;
   D25        0.31374  -0.00017  -0.28697  -0.15955  -0.44649  -0.13276&lt;br /&gt;
   D26       -0.03700   0.00051  -0.01039   0.01277   0.00241  -0.03459&lt;br /&gt;
   D27        3.10564   0.00066  -0.01265   0.01436   0.00173   3.10737&lt;br /&gt;
   D28        3.12998   0.00012   0.00078  -0.00128  -0.00054   3.12944&lt;br /&gt;
   D29       -0.01057   0.00027  -0.00149   0.00030  -0.00121  -0.01178&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.004762     0.000450     NO &lt;br /&gt;
 RMS     Force            0.001306     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.819625     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.277624     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-2.616251D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.142560    0.457059   -0.087136&lt;br /&gt;
    2          1             0       -0.227116    1.115108    0.755513&lt;br /&gt;
    3          1             0        0.826258    0.378887   -0.543588&lt;br /&gt;
    4          6             0       -1.174946   -0.213647   -0.541752&lt;br /&gt;
    5          1             0       -1.044365   -0.848673   -1.397832&lt;br /&gt;
    6          6             0       -2.561629   -0.172751    0.073887&lt;br /&gt;
    7          1             0       -2.708426    0.770909    0.581005&lt;br /&gt;
    8          1             0       -2.632798   -0.948360    0.829210&lt;br /&gt;
    9          6             0       -3.671439   -0.378399   -0.992447&lt;br /&gt;
   10          1             0       -3.521778   -1.331371   -1.493195&lt;br /&gt;
   11          1             0       -3.618584    0.391733   -1.749914&lt;br /&gt;
   12          6             0       -5.039890   -0.378322   -0.369174&lt;br /&gt;
   13          1             0       -5.256476   -1.196653    0.292652&lt;br /&gt;
   14          6             0       -5.965361    0.523506   -0.598732&lt;br /&gt;
   15          1             0       -5.783442    1.359732   -1.243771&lt;br /&gt;
   16          1             0       -6.939354    0.460865   -0.150920&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.072490   0.000000&lt;br /&gt;
     3  H    1.073809   1.827369   0.000000&lt;br /&gt;
     4  C    1.312381   2.084915   2.087083   0.000000&lt;br /&gt;
     5  H    2.058182   3.026752   2.394967   1.073863   0.000000&lt;br /&gt;
     6  C    2.504892   2.751935   3.487600   1.517753   2.219216&lt;br /&gt;
     7  H    2.669941   2.511141   3.729930   2.140443   3.050893&lt;br /&gt;
     8  H    3.002695   3.170275   3.951104   2.131824   2.737293&lt;br /&gt;
     9  C    3.737722   4.141170   4.583038   2.542193   2.699448&lt;br /&gt;
    10  H    4.073647   4.679396   4.767825   2.768063   2.525801&lt;br /&gt;
    11  H    3.853809   4.278141   4.605650   2.792402   2.879093&lt;br /&gt;
    12  C    4.976068   5.163144   5.917388   3.872298   4.152540&lt;br /&gt;
    13  H    5.388056   5.554543   6.338870   4.280353   4.552001&lt;br /&gt;
    14  C    5.845610   5.925489   6.793382   4.847134   5.170845&lt;br /&gt;
    15  H    5.828565   5.910139   6.718664   4.920019   5.230645&lt;br /&gt;
    16  H    6.797094   6.804689   7.775965   5.816882   6.166083&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.081301   0.000000&lt;br /&gt;
     8  H    1.084964   1.738739   0.000000&lt;br /&gt;
     9  C    1.552752   2.173489   2.173031   0.000000&lt;br /&gt;
    10  H    2.172564   3.063239   2.516057   1.086878   0.000000&lt;br /&gt;
    11  H    2.182211   2.530878   3.069121   1.081505   1.744811&lt;br /&gt;
    12  C    2.525934   2.767544   2.748665   1.503704   2.115748&lt;br /&gt;
    13  H    2.891096   3.232183   2.689467   2.198491   2.493306&lt;br /&gt;
    14  C    3.538725   3.472839   3.912976   2.496101   3.195580&lt;br /&gt;
    15  H    3.803263   3.623844   4.421662   2.746784   3.524113&lt;br /&gt;
    16  H    4.429050   4.304950   4.636054   3.477326   4.085785&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.125920   0.000000&lt;br /&gt;
    13  H    3.062309   1.074518   0.000000&lt;br /&gt;
    14  C    2.617239   1.312435   2.063015   0.000000&lt;br /&gt;
    15  H    2.424832   2.082936   3.028761   1.071655   0.000000&lt;br /&gt;
    16  H    3.686336   2.088022   2.403373   1.073835   1.827133&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.970654   -0.437403   -0.138138&lt;br /&gt;
    2          1             0       -2.951477   -1.455286    0.199179&lt;br /&gt;
    3          1             0       -3.905088   -0.073327   -0.521999&lt;br /&gt;
    4          6             0       -1.901900    0.322748   -0.090397&lt;br /&gt;
    5          1             0       -1.966345    1.331134   -0.453972&lt;br /&gt;
    6          6             0       -0.561032   -0.118477    0.467247&lt;br /&gt;
    7          1             0       -0.460198   -1.190711    0.370506&lt;br /&gt;
    8          1             0       -0.532531    0.104057    1.528762&lt;br /&gt;
    9          6             0        0.621280    0.590546   -0.247220&lt;br /&gt;
   10          1             0        0.517262    1.667125   -0.140160&lt;br /&gt;
   11          1             0        0.611259    0.372880   -1.306548&lt;br /&gt;
   12          6             0        1.943915    0.179880    0.338541&lt;br /&gt;
   13          1             0        2.124362    0.482807    1.353559&lt;br /&gt;
   14          6             0        2.872312   -0.486397   -0.306936&lt;br /&gt;
   15          1             0        2.725095   -0.815150   -1.316239&lt;br /&gt;
   16          1             0        3.814141   -0.728914    0.148329&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     14.2649481      1.3567444      1.3340631&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       212.6891601086 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.690247667     A.U. after   14 cycles&lt;br /&gt;
             Convg  =    0.3491D-08             -V/T =  2.0016&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.003332833    0.002897534   -0.000368640&lt;br /&gt;
    2          1           0.001097803    0.001128949    0.001534993&lt;br /&gt;
    3          1          -0.000096716    0.000562015    0.000566189&lt;br /&gt;
    4          6          -0.002789801   -0.000501862    0.001263840&lt;br /&gt;
    5          1          -0.001726133   -0.003050869   -0.000762291&lt;br /&gt;
    6          6           0.003613146   -0.001512792   -0.006556659&lt;br /&gt;
    7          1          -0.001452421    0.001950078   -0.000337478&lt;br /&gt;
    8          1          -0.002151214   -0.002808102   -0.000802845&lt;br /&gt;
    9          6          -0.000551899   -0.000904217    0.004044023&lt;br /&gt;
   10          1           0.002676531   -0.000330694    0.000872809&lt;br /&gt;
   11          1           0.002615979    0.002643049    0.000186185&lt;br /&gt;
   12          6          -0.001758240   -0.003380439   -0.000378107&lt;br /&gt;
   13          1           0.000829449   -0.001747673    0.001288652&lt;br /&gt;
   14          6          -0.003155732    0.002195094    0.001084787&lt;br /&gt;
   15          1          -0.001110670    0.001537035   -0.002184103&lt;br /&gt;
   16          1           0.000627084    0.001322893    0.000548645&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.006556659 RMS     0.002098327&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.006354446 RMS     0.001853211&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  10 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points  9 10&lt;br /&gt;
 Trust test= 7.11D-01 RLast= 1.25D+00 DXMaxT set to 8.49D-01&lt;br /&gt;
     Eigenvalues ---    0.00086   0.00237   0.00352   0.01238   0.01279&lt;br /&gt;
     Eigenvalues ---    0.02656   0.02681   0.02685   0.02688   0.03998&lt;br /&gt;
     Eigenvalues ---    0.04039   0.05279   0.05307   0.09065   0.09529&lt;br /&gt;
     Eigenvalues ---    0.12607   0.12681   0.12762   0.13972   0.15857&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16001   0.16180   0.20062   0.21903&lt;br /&gt;
     Eigenvalues ---    0.22039   0.23030   0.28223   0.29944   0.33022&lt;br /&gt;
     Eigenvalues ---    0.36682   0.37201   0.37221   0.37226   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37232   0.37277   0.37374   0.38018&lt;br /&gt;
     Eigenvalues ---    0.53931   0.613491000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.88125036D-03.&lt;br /&gt;
 Quartic linear search produced a step of  0.15609.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.11711120 RMS(Int)=  0.00665876&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.01006672 RMS(Int)=  0.00013587&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00005132 RMS(Int)=  0.00013111&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000000 RMS(Int)=  0.00013111&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.02671   0.00181  -0.00026   0.00419   0.00394   2.03065&lt;br /&gt;
    R2        2.02921  -0.00037   0.00006  -0.00077  -0.00072   2.02849&lt;br /&gt;
    R3        2.48004   0.00635  -0.00026   0.00771   0.00745   2.48749&lt;br /&gt;
    R4        2.02931   0.00220  -0.00025   0.00519   0.00493   2.03424&lt;br /&gt;
    R5        2.86814  -0.00110  -0.00034  -0.00633  -0.00667   2.86147&lt;br /&gt;
    R6        2.04336   0.00174  -0.00053   0.00383   0.00330   2.04666&lt;br /&gt;
    R7        2.05028   0.00159  -0.00008   0.00419   0.00411   2.05439&lt;br /&gt;
    R8        2.93428  -0.00405   0.00109  -0.00958  -0.00848   2.92579&lt;br /&gt;
    R9        2.05390   0.00026   0.00013   0.00152   0.00165   2.05555&lt;br /&gt;
   R10        2.04375   0.00188  -0.00039   0.00538   0.00500   2.04874&lt;br /&gt;
   R11        2.84159   0.00431  -0.00269  -0.00092  -0.00362   2.83797&lt;br /&gt;
   R12        2.03054   0.00196  -0.00012   0.00523   0.00510   2.03565&lt;br /&gt;
   R13        2.48014   0.00614  -0.00024   0.00749   0.00724   2.48739&lt;br /&gt;
   R14        2.02513   0.00233  -0.00040   0.00470   0.00430   2.02944&lt;br /&gt;
   R15        2.02925  -0.00042   0.00007  -0.00081  -0.00075   2.02851&lt;br /&gt;
    A1        2.03731  -0.00129   0.00041  -0.00707  -0.00667   2.03065&lt;br /&gt;
    A2        2.12201   0.00115  -0.00035   0.00650   0.00615   2.12816&lt;br /&gt;
    A3        2.12384   0.00014  -0.00006   0.00060   0.00054   2.12438&lt;br /&gt;
    A4        2.07454   0.00177  -0.00029   0.01170   0.01140   2.08595&lt;br /&gt;
    A5        2.17055   0.00140  -0.00025   0.00505   0.00479   2.17534&lt;br /&gt;
    A6        2.03800  -0.00317   0.00054  -0.01667  -0.01614   2.02186&lt;br /&gt;
    A7        1.91536  -0.00002   0.00019   0.00256   0.00278   1.91814&lt;br /&gt;
    A8        1.89975   0.00028  -0.00066   0.00566   0.00502   1.90477&lt;br /&gt;
    A9        1.95076   0.00285  -0.00048   0.00882   0.00838   1.95914&lt;br /&gt;
   A10        1.86343   0.00157  -0.00029   0.01278   0.01236   1.87579&lt;br /&gt;
   A11        1.91837  -0.00236   0.00071  -0.01592  -0.01524   1.90314&lt;br /&gt;
   A12        1.91402  -0.00237   0.00054  -0.01358  -0.01308   1.90094&lt;br /&gt;
   A13        1.91145  -0.00227   0.00045  -0.01405  -0.01363   1.89782&lt;br /&gt;
   A14        1.93022  -0.00257   0.00156  -0.01819  -0.01665   1.91357&lt;br /&gt;
   A15        1.94528   0.00135  -0.00107   0.00144   0.00040   1.94568&lt;br /&gt;
   A16        1.87020   0.00117   0.00028   0.01165   0.01170   1.88191&lt;br /&gt;
   A17        1.89265   0.00130  -0.00113   0.01199   0.01083   1.90347&lt;br /&gt;
   A18        1.91213   0.00109  -0.00008   0.00811   0.00798   1.92011&lt;br /&gt;
   A19        2.02494  -0.00152  -0.00062  -0.01320  -0.01430   2.01064&lt;br /&gt;
   A20        2.17641   0.00065   0.00029   0.00420   0.00400   2.18041&lt;br /&gt;
   A21        2.08164   0.00089   0.00034   0.01008   0.00992   2.09155&lt;br /&gt;
   A22        2.11971   0.00113  -0.00056   0.00551   0.00495   2.12466&lt;br /&gt;
   A23        2.12535   0.00014   0.00008   0.00114   0.00121   2.12657&lt;br /&gt;
   A24        2.03812  -0.00127   0.00048  -0.00665  -0.00617   2.03195&lt;br /&gt;
    D1        3.12514   0.00025  -0.00094   0.00435   0.00338   3.12852&lt;br /&gt;
    D2       -0.03138   0.00032  -0.00183   0.01052   0.00871  -0.02267&lt;br /&gt;
    D3       -0.00983   0.00005  -0.00062   0.00008  -0.00056  -0.01040&lt;br /&gt;
    D4        3.11683   0.00012  -0.00151   0.00625   0.00477   3.12160&lt;br /&gt;
    D5        0.47108   0.00016  -0.03947  -0.15291  -0.19235   0.27873&lt;br /&gt;
    D6       -1.56240  -0.00187  -0.03885  -0.17293  -0.21177  -1.77417&lt;br /&gt;
    D7        2.60404  -0.00093  -0.03876  -0.16539  -0.20414   2.39989&lt;br /&gt;
    D8       -2.68515   0.00027  -0.04034  -0.14664  -0.18699  -2.87214&lt;br /&gt;
    D9        1.56455  -0.00177  -0.03972  -0.16666  -0.20641   1.35814&lt;br /&gt;
   D10       -0.55220  -0.00082  -0.03964  -0.15912  -0.19878  -0.75098&lt;br /&gt;
   D11        1.01716  -0.00076  -0.00037  -0.01165  -0.01198   1.00518&lt;br /&gt;
   D12       -1.04008   0.00074  -0.00190  -0.00641  -0.00834  -1.04842&lt;br /&gt;
   D13        3.11146   0.00023  -0.00216  -0.00502  -0.00719   3.10427&lt;br /&gt;
   D14       -3.13480  -0.00050   0.00004  -0.01352  -0.01348   3.13490&lt;br /&gt;
   D15        1.09114   0.00100  -0.00149  -0.00828  -0.00984   1.08130&lt;br /&gt;
   D16       -1.04050   0.00049  -0.00175  -0.00689  -0.00869  -1.04919&lt;br /&gt;
   D17       -1.09131  -0.00138   0.00042  -0.01534  -0.01485  -1.10615&lt;br /&gt;
   D18        3.13464   0.00013  -0.00111  -0.01010  -0.01120   3.12344&lt;br /&gt;
   D19        1.00299  -0.00039  -0.00137  -0.00871  -0.01006   0.99294&lt;br /&gt;
   D20       -1.15408   0.00048  -0.06803   0.01178  -0.05641  -1.21049&lt;br /&gt;
   D21        2.00929  -0.00050  -0.06849  -0.04678  -0.11511   1.89418&lt;br /&gt;
   D22        0.95128  -0.00064  -0.06888   0.00309  -0.06601   0.88527&lt;br /&gt;
   D23       -2.16853  -0.00163  -0.06934  -0.05547  -0.12471  -2.29324&lt;br /&gt;
   D24        2.98705   0.00208  -0.06923   0.02825  -0.04108   2.94598&lt;br /&gt;
   D25       -0.13276   0.00110  -0.06969  -0.03031  -0.09978  -0.23254&lt;br /&gt;
   D26       -0.03459   0.00157   0.00038   0.07464   0.07524   0.04065&lt;br /&gt;
   D27        3.10737   0.00165   0.00027   0.07112   0.07160  -3.10421&lt;br /&gt;
   D28        3.12944   0.00059  -0.00008   0.01459   0.01428  -3.13946&lt;br /&gt;
   D29       -0.01178   0.00066  -0.00019   0.01106   0.01065  -0.00113&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.006354     0.000450     NO &lt;br /&gt;
 RMS     Force            0.001853     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.367184     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.117887     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.208696D-03&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.196283    0.530891   -0.131629&lt;br /&gt;
    2          1             0       -0.338019    1.309414    0.595364&lt;br /&gt;
    3          1             0        0.787150    0.446296   -0.553479&lt;br /&gt;
    4          6             0       -1.174285   -0.274339   -0.489151&lt;br /&gt;
    5          1             0       -0.992106   -1.033506   -1.230281&lt;br /&gt;
    6          6             0       -2.576880   -0.230334    0.079761&lt;br /&gt;
    7          1             0       -2.736326    0.708714    0.595277&lt;br /&gt;
    8          1             0       -2.690220   -1.027243    0.810487&lt;br /&gt;
    9          6             0       -3.659062   -0.395628   -1.015081&lt;br /&gt;
   10          1             0       -3.490264   -1.336613   -1.533985&lt;br /&gt;
   11          1             0       -3.568271    0.404557   -1.740919&lt;br /&gt;
   12          6             0       -5.040612   -0.401191   -0.426305&lt;br /&gt;
   13          1             0       -5.285248   -1.270190    0.161394&lt;br /&gt;
   14          6             0       -5.916259    0.573811   -0.549498&lt;br /&gt;
   15          1             0       -5.705138    1.452729   -1.129377&lt;br /&gt;
   16          1             0       -6.880086    0.532254   -0.078773&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074573   0.000000&lt;br /&gt;
     3  H    1.073430   1.825053   0.000000&lt;br /&gt;
     4  C    1.316323   2.093750   2.090617   0.000000&lt;br /&gt;
     5  H    2.070679   3.041396   2.411147   1.076475   0.000000&lt;br /&gt;
     6  C    2.508265   2.765713   3.489344   1.514223   2.207444&lt;br /&gt;
     7  H    2.647987   2.472391   3.715291   2.140643   3.067621&lt;br /&gt;
     8  H    3.087894   3.322513   4.015448   2.134007   2.654876&lt;br /&gt;
     9  C    3.691851   4.065714   4.548704   2.542721   2.750609&lt;br /&gt;
    10  H    4.037881   4.633814   4.736711   2.753881   2.534739&lt;br /&gt;
    11  H    3.738459   4.087972   4.514581   2.785496   2.994228&lt;br /&gt;
    12  C    4.941977   5.107284   5.890434   3.868918   4.175715&lt;br /&gt;
    13  H    5.406230   5.596227   6.350699   4.279596   4.519275&lt;br /&gt;
    14  C    5.735380   5.741828   6.704623   4.817605   5.224387&lt;br /&gt;
    15  H    5.673868   5.639259   6.595026   4.890939   5.329561&lt;br /&gt;
    16  H    6.684012   6.622468   7.682398   5.777125   6.200474&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083047   0.000000&lt;br /&gt;
     8  H    1.087139   1.749854   0.000000&lt;br /&gt;
     9  C    1.548263   2.159691   2.161086   0.000000&lt;br /&gt;
    10  H    2.159236   3.047218   2.496463   1.087753   0.000000&lt;br /&gt;
    11  H    2.168137   2.498490   3.054619   1.084149   1.755158&lt;br /&gt;
    12  C    2.520966   2.754133   2.728724   1.501789   2.122627&lt;br /&gt;
    13  H    2.902278   3.255967   2.685985   2.189391   2.469957&lt;br /&gt;
    14  C    3.492001   3.382408   3.849709   2.500304   3.241047&lt;br /&gt;
    15  H    3.752428   3.513095   4.359251   2.759695   3.584662&lt;br /&gt;
    16  H    4.373128   4.201931   4.558266   3.480321   4.135359&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.131954   0.000000&lt;br /&gt;
    13  H    3.061304   1.077217   0.000000&lt;br /&gt;
    14  C    2.638405   1.316269   2.074580   0.000000&lt;br /&gt;
    15  H    2.457407   2.091154   3.042481   1.073932   0.000000&lt;br /&gt;
    16  H    3.707716   2.091832   2.418676   1.073439   1.825253&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.915275    0.523732   -0.077890&lt;br /&gt;
    2          1             0        2.828475    1.506975    0.346851&lt;br /&gt;
    3          1             0        3.869225    0.269283   -0.499183&lt;br /&gt;
    4          6             0        1.907524   -0.323081   -0.085043&lt;br /&gt;
    5          1             0        2.034019   -1.294232   -0.531879&lt;br /&gt;
    6          6             0        0.544036   -0.043346    0.511215&lt;br /&gt;
    7          1             0        0.428130    1.019570    0.683746&lt;br /&gt;
    8          1             0        0.467638   -0.540732    1.474874&lt;br /&gt;
    9          6             0       -0.606617   -0.535561   -0.400290&lt;br /&gt;
   10          1             0       -0.481613   -1.601749   -0.575856&lt;br /&gt;
   11          1             0       -0.552376   -0.032708   -1.359236&lt;br /&gt;
   12          6             0       -1.948425   -0.296357    0.230344&lt;br /&gt;
   13          1             0       -2.165668   -0.905840    1.091584&lt;br /&gt;
   14          6             0       -2.818778    0.606593   -0.169320&lt;br /&gt;
   15          1             0       -2.634376    1.229135   -1.024754&lt;br /&gt;
   16          1             0       -3.751547    0.758415    0.339760&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     13.1360436      1.3930570      1.3546165&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       212.9984863544 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.691551007     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.5655D-08             -V/T =  2.0017&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000367281    0.000458175   -0.001149132&lt;br /&gt;
    2          1           0.000048221   -0.000162471    0.000168336&lt;br /&gt;
    3          1          -0.000008528    0.000201250   -0.000028091&lt;br /&gt;
    4          6          -0.001054555    0.000651178    0.000910978&lt;br /&gt;
    5          1           0.000008808   -0.001204041    0.000644496&lt;br /&gt;
    6          6           0.002080255    0.000350305   -0.000349083&lt;br /&gt;
    7          1          -0.000133682    0.000102456    0.000796226&lt;br /&gt;
    8          1          -0.000601234   -0.000620131   -0.000392025&lt;br /&gt;
    9          6           0.001513372   -0.000934153   -0.004076598&lt;br /&gt;
   10          1           0.000955139    0.000973373   -0.000493405&lt;br /&gt;
   11          1           0.001186460    0.000090415    0.000276138&lt;br /&gt;
   12          6          -0.002782944    0.000099900    0.003961797&lt;br /&gt;
   13          1          -0.000706956    0.000509772    0.000361273&lt;br /&gt;
   14          6          -0.000136674   -0.001065633   -0.000116452&lt;br /&gt;
   15          1           0.000103536    0.000648464   -0.000049119&lt;br /&gt;
   16          1          -0.000103937   -0.000098861   -0.000465340&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.004076598 RMS     0.001133627&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.004783754 RMS     0.000777832&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  11 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 10 11&lt;br /&gt;
 Trust test= 1.08D+00 RLast= 5.51D-01 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---    0.00075   0.00237   0.00300   0.01255   0.01405&lt;br /&gt;
     Eigenvalues ---    0.02667   0.02681   0.02685   0.02985   0.03993&lt;br /&gt;
     Eigenvalues ---    0.04055   0.05323   0.05402   0.08658   0.09117&lt;br /&gt;
     Eigenvalues ---    0.12608   0.12721   0.13034   0.14174   0.15958&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16001   0.16220   0.20098   0.21904&lt;br /&gt;
     Eigenvalues ---    0.21990   0.24836   0.28138   0.29226   0.32550&lt;br /&gt;
     Eigenvalues ---    0.36589   0.37172   0.37222   0.37225   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37231   0.37253   0.37278   0.37882&lt;br /&gt;
     Eigenvalues ---    0.53931   0.620031000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-1.20172080D-03.&lt;br /&gt;
 Quartic linear search produced a step of  0.41376.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.09721020 RMS(Int)=  0.02963108&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.04746279 RMS(Int)=  0.00111129&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00155936 RMS(Int)=  0.00007229&lt;br /&gt;
 Iteration  4 RMS(Cart)=  0.00000110 RMS(Int)=  0.00007228&lt;br /&gt;
 Iteration  5 RMS(Cart)=  0.00000000 RMS(Int)=  0.00007228&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03065  -0.00001   0.00163  -0.00164  -0.00001   2.03064&lt;br /&gt;
    R2        2.02849  -0.00001  -0.00030   0.00022  -0.00008   2.02841&lt;br /&gt;
    R3        2.48749  -0.00021   0.00308  -0.00332  -0.00024   2.48725&lt;br /&gt;
    R4        2.03424   0.00041   0.00204  -0.00063   0.00141   2.03565&lt;br /&gt;
    R5        2.86147  -0.00148  -0.00276  -0.00575  -0.00851   2.85296&lt;br /&gt;
    R6        2.04666   0.00049   0.00136  -0.00036   0.00100   2.04766&lt;br /&gt;
    R7        2.05439   0.00025   0.00170  -0.00068   0.00102   2.05541&lt;br /&gt;
    R8        2.92579   0.00038  -0.00351   0.00647   0.00296   2.92875&lt;br /&gt;
    R9        2.05555  -0.00046   0.00068  -0.00262  -0.00194   2.05362&lt;br /&gt;
   R10        2.04874  -0.00002   0.00207  -0.00166   0.00041   2.04915&lt;br /&gt;
   R11        2.83797   0.00478  -0.00150   0.01613   0.01463   2.85260&lt;br /&gt;
   R12        2.03565  -0.00005   0.00211  -0.00192   0.00019   2.03584&lt;br /&gt;
   R13        2.48739  -0.00023   0.00300  -0.00338  -0.00038   2.48701&lt;br /&gt;
   R14        2.02944   0.00058   0.00178   0.00002   0.00180   2.03124&lt;br /&gt;
   R15        2.02851  -0.00011  -0.00031  -0.00011  -0.00042   2.02808&lt;br /&gt;
    A1        2.03065  -0.00008  -0.00276   0.00265  -0.00011   2.03053&lt;br /&gt;
    A2        2.12816  -0.00011   0.00254  -0.00373  -0.00119   2.12696&lt;br /&gt;
    A3        2.12438   0.00019   0.00022   0.00109   0.00131   2.12569&lt;br /&gt;
    A4        2.08595   0.00020   0.00472  -0.00072   0.00399   2.08994&lt;br /&gt;
    A5        2.17534   0.00045   0.00198  -0.00016   0.00181   2.17715&lt;br /&gt;
    A6        2.02186  -0.00065  -0.00668   0.00092  -0.00577   2.01610&lt;br /&gt;
    A7        1.91814   0.00048   0.00115   0.00297   0.00412   1.92225&lt;br /&gt;
    A8        1.90477   0.00043   0.00208   0.00043   0.00250   1.90728&lt;br /&gt;
    A9        1.95914  -0.00082   0.00347  -0.00775  -0.00427   1.95487&lt;br /&gt;
   A10        1.87579  -0.00009   0.00512  -0.00208   0.00297   1.87876&lt;br /&gt;
   A11        1.90314   0.00005  -0.00631   0.00411  -0.00220   1.90093&lt;br /&gt;
   A12        1.90094  -0.00002  -0.00541   0.00253  -0.00289   1.89805&lt;br /&gt;
   A13        1.89782  -0.00004  -0.00564   0.00311  -0.00249   1.89533&lt;br /&gt;
   A14        1.91357  -0.00043  -0.00689  -0.00388  -0.01077   1.90280&lt;br /&gt;
   A15        1.94568  -0.00136   0.00016  -0.01006  -0.00987   1.93581&lt;br /&gt;
   A16        1.88191  -0.00038   0.00484  -0.00622  -0.00160   1.88031&lt;br /&gt;
   A17        1.90347   0.00117   0.00448   0.01132   0.01576   1.91923&lt;br /&gt;
   A18        1.92011   0.00107   0.00330   0.00588   0.00905   1.92916&lt;br /&gt;
   A19        2.01064   0.00120  -0.00592   0.01186   0.00572   2.01636&lt;br /&gt;
   A20        2.18041  -0.00055   0.00166  -0.00423  -0.00280   2.17761&lt;br /&gt;
   A21        2.09155  -0.00064   0.00410  -0.00643  -0.00256   2.08900&lt;br /&gt;
   A22        2.12466   0.00010   0.00205  -0.00246  -0.00042   2.12424&lt;br /&gt;
   A23        2.12657   0.00006   0.00050   0.00030   0.00079   2.12736&lt;br /&gt;
   A24        2.03195  -0.00017  -0.00255   0.00214  -0.00042   2.03152&lt;br /&gt;
    D1        3.12852   0.00018   0.00140   0.00456   0.00594   3.13445&lt;br /&gt;
    D2       -0.02267   0.00023   0.00360   0.00867   0.01229  -0.01038&lt;br /&gt;
    D3       -0.01040   0.00010  -0.00023   0.00275   0.00249  -0.00790&lt;br /&gt;
    D4        3.12160   0.00016   0.00197   0.00686   0.00885   3.13045&lt;br /&gt;
    D5        0.27873  -0.00052  -0.07959  -0.21699  -0.29655  -0.01782&lt;br /&gt;
    D6       -1.77417  -0.00094  -0.08762  -0.21645  -0.30406  -2.07823&lt;br /&gt;
    D7        2.39989  -0.00068  -0.08447  -0.21490  -0.29936   2.10053&lt;br /&gt;
    D8       -2.87214  -0.00046  -0.07737  -0.21302  -0.29039   3.12066&lt;br /&gt;
    D9        1.35814  -0.00089  -0.08540  -0.21247  -0.29790   1.06024&lt;br /&gt;
   D10       -0.75098  -0.00062  -0.08225  -0.21093  -0.29320  -1.04417&lt;br /&gt;
   D11        1.00518  -0.00051  -0.00496  -0.01918  -0.02412   0.98105&lt;br /&gt;
   D12       -1.04842   0.00022  -0.00345  -0.01129  -0.01473  -1.06315&lt;br /&gt;
   D13        3.10427   0.00007  -0.00298  -0.00935  -0.01235   3.09192&lt;br /&gt;
   D14        3.13490  -0.00041  -0.00558  -0.01769  -0.02327   3.11163&lt;br /&gt;
   D15        1.08130   0.00032  -0.00407  -0.00979  -0.01387   1.06743&lt;br /&gt;
   D16       -1.04919   0.00017  -0.00360  -0.00785  -0.01149  -1.06068&lt;br /&gt;
   D17       -1.10615  -0.00051  -0.00614  -0.01645  -0.02256  -1.12872&lt;br /&gt;
   D18        3.12344   0.00022  -0.00463  -0.00855  -0.01317   3.11027&lt;br /&gt;
   D19        0.99294   0.00007  -0.00416  -0.00661  -0.01079   0.98215&lt;br /&gt;
   D20       -1.21049  -0.00011  -0.02334   0.00069  -0.02273  -1.23322&lt;br /&gt;
   D21        1.89418   0.00024  -0.04763   0.03861  -0.00895   1.88523&lt;br /&gt;
   D22        0.88527  -0.00025  -0.02731   0.00568  -0.02180   0.86347&lt;br /&gt;
   D23       -2.29324   0.00010  -0.05160   0.04359  -0.00802  -2.30126&lt;br /&gt;
   D24        2.94598   0.00061  -0.01700   0.00833  -0.00865   2.93732&lt;br /&gt;
   D25       -0.23254   0.00096  -0.04129   0.04624   0.00513  -0.22741&lt;br /&gt;
   D26        0.04065  -0.00045   0.03113  -0.03101   0.00023   0.04088&lt;br /&gt;
   D27       -3.10421  -0.00060   0.02963  -0.03863  -0.00889  -3.11310&lt;br /&gt;
   D28       -3.13946  -0.00005   0.00591   0.00890   0.01470  -3.12476&lt;br /&gt;
   D29       -0.00113  -0.00020   0.00441   0.00128   0.00558   0.00445&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.004784     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000778     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.504454     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.142932     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-9.942351D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.265994    0.591065   -0.223695&lt;br /&gt;
    2          1             0       -0.486031    1.486301    0.328418&lt;br /&gt;
    3          1             0        0.729999    0.505259   -0.614590&lt;br /&gt;
    4          6             0       -1.167538   -0.349584   -0.410161&lt;br /&gt;
    5          1             0       -0.911845   -1.230504   -0.974968&lt;br /&gt;
    6          6             0       -2.580366   -0.304439    0.120065&lt;br /&gt;
    7          1             0       -2.736286    0.604235    0.689396&lt;br /&gt;
    8          1             0       -2.739052   -1.145415    0.791346&lt;br /&gt;
    9          6             0       -3.630179   -0.370556   -1.018129&lt;br /&gt;
   10          1             0       -3.449968   -1.267876   -1.604060&lt;br /&gt;
   11          1             0       -3.496259    0.483655   -1.672525&lt;br /&gt;
   12          6             0       -5.031683   -0.393703   -0.457829&lt;br /&gt;
   13          1             0       -5.316890   -1.304443    0.041999&lt;br /&gt;
   14          6             0       -5.882118    0.608650   -0.521730&lt;br /&gt;
   15          1             0       -5.637246    1.526105   -1.025405&lt;br /&gt;
   16          1             0       -6.860451    0.550872   -0.084328&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074567   0.000000&lt;br /&gt;
     3  H    1.073389   1.824949   0.000000&lt;br /&gt;
     4  C    1.316196   2.092947   2.091219   0.000000&lt;br /&gt;
     5  H    2.073559   3.043216   2.416277   1.077221   0.000000&lt;br /&gt;
     6  C    2.505278   2.763403   3.486237   1.509722   2.200149&lt;br /&gt;
     7  H    2.633677   2.443766   3.704768   2.140039   3.076517&lt;br /&gt;
     8  H    3.187741   3.495188   4.090929   2.132281   2.542792&lt;br /&gt;
     9  C    3.587978   3.891886   4.465541   2.536665   2.851441&lt;br /&gt;
    10  H    3.936847   4.483847   4.647062   2.734619   2.615191&lt;br /&gt;
    11  H    3.541928   3.751072   4.356713   2.776831   3.178698&lt;br /&gt;
    12  C    4.872000   4.981521   5.833497   3.864691   4.235650&lt;br /&gt;
    13  H    5.401397   5.586366   6.345943   4.281743   4.521516&lt;br /&gt;
    14  C    5.624055   5.532701   6.613578   4.812268   5.318978&lt;br /&gt;
    15  H    5.510662   5.326297   6.461634   4.886208   5.470910&lt;br /&gt;
    16  H    6.596052   6.455898   7.609086   5.772889   6.273153&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083576   0.000000&lt;br /&gt;
     8  H    1.087677   1.752620   0.000000&lt;br /&gt;
     9  C    1.549828   2.159840   2.160721   0.000000&lt;br /&gt;
    10  H    2.158015   3.045338   2.501673   1.086726   0.000000&lt;br /&gt;
    11  H    2.161789   2.484104   3.049245   1.084364   1.753480&lt;br /&gt;
    12  C    2.520096   2.753335   2.716922   1.509531   2.140058&lt;br /&gt;
    13  H    2.914561   3.274399   2.689248   2.200229   2.489226&lt;br /&gt;
    14  C    3.485284   3.370921   3.831420   2.505292   3.257015&lt;br /&gt;
    15  H    3.742661   3.493703   4.340177   2.761466   3.595186&lt;br /&gt;
    16  H    4.369492   4.196455   4.542040   3.486498   4.153170&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.145407   0.000000&lt;br /&gt;
    13  H    3.074343   1.077320   0.000000&lt;br /&gt;
    14  C    2.651845   1.316068   2.072969   0.000000&lt;br /&gt;
    15  H    2.467650   2.091534   3.042036   1.074884   0.000000&lt;br /&gt;
    16  H    3.720844   2.091917   2.416761   1.073216   1.825633&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.835701    0.600625   -0.049795&lt;br /&gt;
    2          1             0        2.650739    1.568597    0.378590&lt;br /&gt;
    3          1             0        3.808185    0.446953   -0.477374&lt;br /&gt;
    4          6             0        1.920765   -0.345559   -0.049863&lt;br /&gt;
    5          1             0        2.140696   -1.301639   -0.494775&lt;br /&gt;
    6          6             0        0.539581   -0.206831    0.543725&lt;br /&gt;
    7          1             0        0.419653    0.776099    0.983728&lt;br /&gt;
    8          1             0        0.414172   -0.940587    1.336767&lt;br /&gt;
    9          6             0       -0.571746   -0.422449   -0.514777&lt;br /&gt;
   10          1             0       -0.428425   -1.396836   -0.974128&lt;br /&gt;
   11          1             0       -0.470069    0.327142   -1.291707&lt;br /&gt;
   12          6             0       -1.940289   -0.347123    0.117759&lt;br /&gt;
   13          1             0       -2.201818   -1.172938    0.758267&lt;br /&gt;
   14          6             0       -2.788164    0.646347   -0.043980&lt;br /&gt;
   15          1             0       -2.567088    1.478765   -0.687081&lt;br /&gt;
   16          1             0       -3.741133    0.664391    0.449293&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     12.2861400      1.4291512      1.3799461&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.3639440359 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692414432     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.5421D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000116810    0.000028405   -0.000742253&lt;br /&gt;
    2          1           0.000089641   -0.000264893    0.000383545&lt;br /&gt;
    3          1          -0.000091702    0.000292598   -0.000367410&lt;br /&gt;
    4          6          -0.000382024   -0.000441568    0.000640179&lt;br /&gt;
    5          1           0.000173766    0.000016481    0.000210829&lt;br /&gt;
    6          6           0.001225913    0.000187449    0.001152066&lt;br /&gt;
    7          1          -0.000058040   -0.000154556    0.000279325&lt;br /&gt;
    8          1          -0.000162301    0.000317116   -0.000209276&lt;br /&gt;
    9          6           0.000229747    0.000256549   -0.000986145&lt;br /&gt;
   10          1          -0.000770334    0.000253379   -0.000332924&lt;br /&gt;
   11          1          -0.000372367   -0.000195682    0.000434208&lt;br /&gt;
   12          6          -0.000212669   -0.000954265   -0.000534691&lt;br /&gt;
   13          1           0.000380058    0.000606248    0.000678265&lt;br /&gt;
   14          6           0.000135639   -0.000132566   -0.001176344&lt;br /&gt;
   15          1           0.000038313    0.000184341    0.000634670&lt;br /&gt;
   16          1          -0.000106831    0.000000965   -0.000064046&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.001225913 RMS     0.000485175&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.001447994 RMS     0.000379624&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  12 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 11 12&lt;br /&gt;
 Trust test= 8.68D-01 RLast= 7.31D-01 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---    0.00147   0.00211   0.00237   0.01265   0.01440&lt;br /&gt;
     Eigenvalues ---    0.02647   0.02683   0.02722   0.02937   0.04026&lt;br /&gt;
     Eigenvalues ---    0.04106   0.05343   0.05416   0.08725   0.09108&lt;br /&gt;
     Eigenvalues ---    0.12545   0.12689   0.13048   0.14178   0.15904&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16021   0.16192   0.20069   0.21887&lt;br /&gt;
     Eigenvalues ---    0.22221   0.24606   0.27621   0.29336   0.32564&lt;br /&gt;
     Eigenvalues ---    0.36615   0.37150   0.37215   0.37227   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37241   0.37247   0.37279   0.37885&lt;br /&gt;
     Eigenvalues ---    0.53933   0.619961000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-3.04258873D-04.&lt;br /&gt;
 Quartic linear search produced a step of  0.14705.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.05135786 RMS(Int)=  0.00089384&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00131984 RMS(Int)=  0.00003092&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000071 RMS(Int)=  0.00003091&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03064  -0.00004   0.00000   0.00034   0.00034   2.03098&lt;br /&gt;
    R2        2.02841   0.00003  -0.00001  -0.00002  -0.00004   2.02838&lt;br /&gt;
    R3        2.48725  -0.00014  -0.00004   0.00065   0.00062   2.48787&lt;br /&gt;
    R4        2.03565  -0.00008   0.00021   0.00021   0.00042   2.03608&lt;br /&gt;
    R5        2.85296  -0.00034  -0.00125  -0.00126  -0.00252   2.85045&lt;br /&gt;
    R6        2.04766   0.00003   0.00015   0.00074   0.00089   2.04855&lt;br /&gt;
    R7        2.05541  -0.00035   0.00015  -0.00090  -0.00075   2.05467&lt;br /&gt;
    R8        2.92875   0.00145   0.00043   0.00399   0.00442   2.93317&lt;br /&gt;
    R9        2.05362  -0.00016  -0.00029  -0.00063  -0.00091   2.05270&lt;br /&gt;
   R10        2.04915  -0.00046   0.00006  -0.00075  -0.00069   2.04846&lt;br /&gt;
   R11        2.85260  -0.00038   0.00215   0.00079   0.00295   2.85555&lt;br /&gt;
   R12        2.03584  -0.00030   0.00003  -0.00053  -0.00050   2.03534&lt;br /&gt;
   R13        2.48701   0.00003  -0.00006   0.00105   0.00099   2.48800&lt;br /&gt;
   R14        2.03124  -0.00013   0.00026   0.00021   0.00047   2.03171&lt;br /&gt;
   R15        2.02808   0.00007  -0.00006   0.00010   0.00004   2.02813&lt;br /&gt;
    A1        2.03053  -0.00002  -0.00002  -0.00093  -0.00095   2.02959&lt;br /&gt;
    A2        2.12696  -0.00015  -0.00018  -0.00037  -0.00054   2.12642&lt;br /&gt;
    A3        2.12569   0.00017   0.00019   0.00130   0.00149   2.12718&lt;br /&gt;
    A4        2.08994  -0.00021   0.00059  -0.00058  -0.00013   2.08981&lt;br /&gt;
    A5        2.17715   0.00015   0.00027   0.00134   0.00147   2.17862&lt;br /&gt;
    A6        2.01610   0.00007  -0.00085  -0.00068  -0.00166   2.01443&lt;br /&gt;
    A7        1.92225   0.00046   0.00061   0.00307   0.00366   1.92592&lt;br /&gt;
    A8        1.90728   0.00047   0.00037   0.00378   0.00414   1.91141&lt;br /&gt;
    A9        1.95487  -0.00129  -0.00063  -0.00578  -0.00641   1.94845&lt;br /&gt;
   A10        1.87876  -0.00028   0.00044   0.00012   0.00055   1.87931&lt;br /&gt;
   A11        1.90093   0.00037  -0.00032  -0.00008  -0.00040   1.90054&lt;br /&gt;
   A12        1.89805   0.00029  -0.00043  -0.00095  -0.00137   1.89667&lt;br /&gt;
   A13        1.89533   0.00030  -0.00037   0.00395   0.00359   1.89892&lt;br /&gt;
   A14        1.90280  -0.00003  -0.00158  -0.00100  -0.00258   1.90022&lt;br /&gt;
   A15        1.93581   0.00079  -0.00145   0.00563   0.00418   1.93999&lt;br /&gt;
   A16        1.88031   0.00006  -0.00023  -0.00031  -0.00056   1.87975&lt;br /&gt;
   A17        1.91923  -0.00069   0.00232  -0.00424  -0.00194   1.91729&lt;br /&gt;
   A18        1.92916  -0.00044   0.00133  -0.00405  -0.00273   1.92643&lt;br /&gt;
   A19        2.01636   0.00026   0.00084   0.00099   0.00182   2.01817&lt;br /&gt;
   A20        2.17761  -0.00045  -0.00041  -0.00226  -0.00269   2.17492&lt;br /&gt;
   A21        2.08900   0.00020  -0.00038   0.00105   0.00066   2.08965&lt;br /&gt;
   A22        2.12424   0.00022  -0.00006   0.00248   0.00237   2.12661&lt;br /&gt;
   A23        2.12736  -0.00006   0.00012  -0.00044  -0.00037   2.12699&lt;br /&gt;
   A24        2.03152  -0.00015  -0.00006  -0.00184  -0.00195   2.02957&lt;br /&gt;
    D1        3.13445   0.00023   0.00087   0.00329   0.00415   3.13861&lt;br /&gt;
    D2       -0.01038   0.00058   0.00181   0.03422   0.03603   0.02565&lt;br /&gt;
    D3       -0.00790   0.00023   0.00037   0.00238   0.00274  -0.00516&lt;br /&gt;
    D4        3.13045   0.00058   0.00130   0.03331   0.03462  -3.11812&lt;br /&gt;
    D5       -0.01782  -0.00021  -0.04361  -0.03877  -0.08236  -0.10018&lt;br /&gt;
    D6       -2.07823  -0.00043  -0.04471  -0.04301  -0.08773  -2.16596&lt;br /&gt;
    D7        2.10053  -0.00029  -0.04402  -0.04064  -0.08465   2.01588&lt;br /&gt;
    D8        3.12066   0.00012  -0.04270  -0.00901  -0.05171   3.06895&lt;br /&gt;
    D9        1.06024  -0.00010  -0.04381  -0.01326  -0.05708   1.00316&lt;br /&gt;
   D10       -1.04417   0.00005  -0.04312  -0.01088  -0.05401  -1.09818&lt;br /&gt;
   D11        0.98105   0.00010  -0.00355  -0.00641  -0.00996   0.97109&lt;br /&gt;
   D12       -1.06315  -0.00012  -0.00217  -0.00770  -0.00986  -1.07301&lt;br /&gt;
   D13        3.09192  -0.00006  -0.00182  -0.00560  -0.00741   3.08451&lt;br /&gt;
   D14        3.11163   0.00009  -0.00342  -0.00639  -0.00981   3.10182&lt;br /&gt;
   D15        1.06743  -0.00013  -0.00204  -0.00768  -0.00971   1.05772&lt;br /&gt;
   D16       -1.06068  -0.00007  -0.00169  -0.00558  -0.00727  -1.06795&lt;br /&gt;
   D17       -1.12872   0.00013  -0.00332  -0.00682  -0.01014  -1.13886&lt;br /&gt;
   D18        3.11027  -0.00009  -0.00194  -0.00811  -0.01004   3.10022&lt;br /&gt;
   D19        0.98215  -0.00003  -0.00159  -0.00601  -0.00760   0.97456&lt;br /&gt;
   D20       -1.23322   0.00024  -0.00334   0.11005   0.10671  -1.12651&lt;br /&gt;
   D21        1.88523   0.00011  -0.00132   0.09912   0.09781   1.98304&lt;br /&gt;
   D22        0.86347   0.00067  -0.00321   0.11583   0.11261   0.97609&lt;br /&gt;
   D23       -2.30126   0.00055  -0.00118   0.10490   0.10371  -2.19755&lt;br /&gt;
   D24        2.93732   0.00005  -0.00127   0.11028   0.10902   3.04634&lt;br /&gt;
   D25       -0.22741  -0.00008   0.00075   0.09935   0.10012  -0.12729&lt;br /&gt;
   D26        0.04088  -0.00048   0.00003  -0.01627  -0.01623   0.02465&lt;br /&gt;
   D27       -3.11310  -0.00002  -0.00131   0.00339   0.00208  -3.11102&lt;br /&gt;
   D28       -3.12476  -0.00060   0.00216  -0.02762  -0.02546   3.13297&lt;br /&gt;
   D29        0.00445  -0.00014   0.00082  -0.00797  -0.00715  -0.00270&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.001448     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000380     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.125515     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.051439     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-1.872650D-04&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.273104    0.589024   -0.248957&lt;br /&gt;
    2          1             0       -0.493458    1.487465    0.298154&lt;br /&gt;
    3          1             0        0.711447    0.518656   -0.670657&lt;br /&gt;
    4          6             0       -1.160952   -0.372536   -0.391660&lt;br /&gt;
    5          1             0       -0.904795   -1.257989   -0.949552&lt;br /&gt;
    6          6             0       -2.569401   -0.331359    0.146687&lt;br /&gt;
    7          1             0       -2.715556    0.555597    0.752575&lt;br /&gt;
    8          1             0       -2.740936   -1.197006    0.781836&lt;br /&gt;
    9          6             0       -3.619460   -0.337832   -0.996360&lt;br /&gt;
   10          1             0       -3.446036   -1.205739   -1.626111&lt;br /&gt;
   11          1             0       -3.478101    0.546304   -1.607406&lt;br /&gt;
   12          6             0       -5.025728   -0.376823   -0.444741&lt;br /&gt;
   13          1             0       -5.287584   -1.267626    0.101108&lt;br /&gt;
   14          6             0       -5.902164    0.598711   -0.561411&lt;br /&gt;
   15          1             0       -5.674203    1.505689   -1.091824&lt;br /&gt;
   16          1             0       -6.881877    0.535087   -0.127874&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074747   0.000000&lt;br /&gt;
     3  H    1.073370   1.824550   0.000000&lt;br /&gt;
     4  C    1.316524   2.093082   2.092352   0.000000&lt;br /&gt;
     5  H    2.073963   3.043597   2.417951   1.077445   0.000000&lt;br /&gt;
     6  C    2.505318   2.764163   3.486336   1.508391   2.198020&lt;br /&gt;
     7  H    2.640029   2.452059   3.710970   2.141845   3.076554&lt;br /&gt;
     8  H    3.215996   3.534330   4.119731   2.133822   2.524448&lt;br /&gt;
     9  C    3.551869   3.844393   4.426783   2.532021   2.866755&lt;br /&gt;
    10  H    3.896823   4.435522   4.601206   2.727583   2.630279&lt;br /&gt;
    11  H    3.481266   3.664019   4.293085   2.773353   3.210942&lt;br /&gt;
    12  C    4.853722   4.956705   5.811032   3.865143   4.244216&lt;br /&gt;
    13  H    5.358610   5.532901   6.306726   4.251247   4.506974&lt;br /&gt;
    14  C    5.637733   5.548227   6.614997   4.842647   5.345248&lt;br /&gt;
    15  H    5.542794   5.363999   6.475194   4.938360   5.514110&lt;br /&gt;
    16  H    6.610102   6.473053   7.612716   5.798478   6.294107&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.084045   0.000000&lt;br /&gt;
     8  H    1.087282   1.753031   0.000000&lt;br /&gt;
     9  C    1.552168   2.161951   2.161473   0.000000&lt;br /&gt;
    10  H    2.162370   3.048615   2.509074   1.086243   0.000000&lt;br /&gt;
    11  H    2.161683   2.480136   3.048117   1.084000   1.752436&lt;br /&gt;
    12  C    2.526934   2.764031   2.719827   1.511090   2.139664&lt;br /&gt;
    13  H    2.875273   3.219298   2.637004   2.202633   2.525552&lt;br /&gt;
    14  C    3.531819   3.447156   3.875857   2.505400   3.228341&lt;br /&gt;
    15  H    3.814244   3.613596   4.406724   2.762183   3.549934&lt;br /&gt;
    16  H    4.407217   4.258385   4.579858   3.487064   4.132818&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.144551   0.000000&lt;br /&gt;
    13  H    3.079544   1.077056   0.000000&lt;br /&gt;
    14  C    2.640631   1.316594   2.073608   0.000000&lt;br /&gt;
    15  H    2.451348   2.093583   3.043655   1.075135   0.000000&lt;br /&gt;
    16  H    3.711445   2.092193   2.417431   1.073238   1.824759&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.823206    0.615422   -0.012459&lt;br /&gt;
    2          1             0        2.633846    1.530672    0.518147&lt;br /&gt;
    3          1             0        3.782299    0.530705   -0.486891&lt;br /&gt;
    4          6             0        1.929097   -0.348904   -0.074742&lt;br /&gt;
    5          1             0        2.153586   -1.251554   -0.618538&lt;br /&gt;
    6          6             0        0.553412   -0.289183    0.541021&lt;br /&gt;
    7          1             0        0.441467    0.616308    1.126432&lt;br /&gt;
    8          1             0        0.418515   -1.134512    1.211398&lt;br /&gt;
    9          6             0       -0.559750   -0.329646   -0.539931&lt;br /&gt;
   10          1             0       -0.421941   -1.216873   -1.151292&lt;br /&gt;
   11          1             0       -0.453623    0.534950   -1.185119&lt;br /&gt;
   12          6             0       -1.932471   -0.349646    0.091438&lt;br /&gt;
   13          1             0       -2.162595   -1.222763    0.678600&lt;br /&gt;
   14          6             0       -2.814517    0.622982   -0.005560&lt;br /&gt;
   15          1             0       -2.617366    1.512791   -0.575899&lt;br /&gt;
   16          1             0       -3.768054    0.574131    0.484564&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     12.3634025      1.4236071      1.3783619&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.2732879421 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692574308     A.U. after   12 cycles&lt;br /&gt;
             Convg  =    0.7682D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000334984   -0.000317943    0.000130156&lt;br /&gt;
    2          1          -0.000114442   -0.000083970   -0.000144219&lt;br /&gt;
    3          1           0.000073038   -0.000190831    0.000183545&lt;br /&gt;
    4          6          -0.000092256    0.000574703   -0.001462216&lt;br /&gt;
    5          1           0.000238758    0.000180258    0.000329680&lt;br /&gt;
    6          6          -0.000144986   -0.000308557    0.001508046&lt;br /&gt;
    7          1           0.000147934   -0.000297622   -0.000052423&lt;br /&gt;
    8          1          -0.000023021    0.000232476    0.000023478&lt;br /&gt;
    9          6          -0.000376346    0.000429641    0.000088877&lt;br /&gt;
   10          1          -0.000243401   -0.000334408   -0.000169321&lt;br /&gt;
   11          1          -0.000388600   -0.000241197    0.000028321&lt;br /&gt;
   12          6           0.000944676    0.001135780   -0.000113051&lt;br /&gt;
   13          1           0.000038052   -0.000089214   -0.000356815&lt;br /&gt;
   14          6           0.000580726    0.000021337    0.000283199&lt;br /&gt;
   15          1          -0.000053970   -0.000489268    0.000002075&lt;br /&gt;
   16          1          -0.000251177   -0.000221184   -0.000279332&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.001508046 RMS     0.000445030&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.001349596 RMS     0.000319147&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  13 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 12 13&lt;br /&gt;
 Trust test= 8.54D-01 RLast= 3.18D-01 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---    0.00147   0.00197   0.00238   0.01310   0.01607&lt;br /&gt;
     Eigenvalues ---    0.02634   0.02683   0.02880   0.03204   0.04069&lt;br /&gt;
     Eigenvalues ---    0.04108   0.05353   0.05409   0.08581   0.08980&lt;br /&gt;
     Eigenvalues ---    0.12610   0.12650   0.13019   0.14177   0.15949&lt;br /&gt;
     Eigenvalues ---    0.15998   0.16005   0.16181   0.20180   0.21305&lt;br /&gt;
     Eigenvalues ---    0.22126   0.24606   0.27915   0.28890   0.32538&lt;br /&gt;
     Eigenvalues ---    0.36571   0.37191   0.37223   0.37227   0.37229&lt;br /&gt;
     Eigenvalues ---    0.37230   0.37243   0.37268   0.37285   0.37881&lt;br /&gt;
     Eigenvalues ---    0.53934   0.621611000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-6.67140505D-05.&lt;br /&gt;
 Quartic linear search produced a step of -0.05514.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.01479736 RMS(Int)=  0.00008918&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00017305 RMS(Int)=  0.00001126&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000001 RMS(Int)=  0.00001126&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03098  -0.00012  -0.00002  -0.00015  -0.00017   2.03081&lt;br /&gt;
    R2        2.02838   0.00001   0.00000   0.00004   0.00004   2.02842&lt;br /&gt;
    R3        2.48787  -0.00067  -0.00003  -0.00053  -0.00056   2.48731&lt;br /&gt;
    R4        2.03608  -0.00026  -0.00002  -0.00059  -0.00061   2.03546&lt;br /&gt;
    R5        2.85045   0.00012   0.00014   0.00037   0.00051   2.85095&lt;br /&gt;
    R6        2.04855  -0.00029  -0.00005  -0.00059  -0.00064   2.04790&lt;br /&gt;
    R7        2.05467  -0.00017   0.00004  -0.00063  -0.00059   2.05408&lt;br /&gt;
    R8        2.93317   0.00021  -0.00024   0.00135   0.00110   2.93427&lt;br /&gt;
    R9        2.05270   0.00033   0.00005   0.00067   0.00072   2.05342&lt;br /&gt;
   R10        2.04846  -0.00026   0.00004  -0.00081  -0.00077   2.04769&lt;br /&gt;
   R11        2.85555  -0.00135  -0.00016  -0.00459  -0.00476   2.85079&lt;br /&gt;
   R12        2.03534  -0.00012   0.00003  -0.00037  -0.00034   2.03500&lt;br /&gt;
   R13        2.48800  -0.00069  -0.00005  -0.00050  -0.00056   2.48744&lt;br /&gt;
   R14        2.03171  -0.00043  -0.00003  -0.00099  -0.00102   2.03069&lt;br /&gt;
   R15        2.02813   0.00013   0.00000   0.00039   0.00038   2.02851&lt;br /&gt;
    A1        2.02959   0.00013   0.00005   0.00021   0.00026   2.02984&lt;br /&gt;
    A2        2.12642  -0.00009   0.00003  -0.00033  -0.00030   2.12612&lt;br /&gt;
    A3        2.12718  -0.00005  -0.00008   0.00011   0.00003   2.12721&lt;br /&gt;
    A4        2.08981  -0.00013   0.00001  -0.00113  -0.00115   2.08866&lt;br /&gt;
    A5        2.17862  -0.00021  -0.00008  -0.00015  -0.00026   2.17836&lt;br /&gt;
    A6        2.01443   0.00035   0.00009   0.00160   0.00167   2.01610&lt;br /&gt;
    A7        1.92592   0.00020  -0.00020   0.00036   0.00015   1.92607&lt;br /&gt;
    A8        1.91141   0.00039  -0.00023   0.00359   0.00336   1.91478&lt;br /&gt;
    A9        1.94845  -0.00106   0.00035  -0.00540  -0.00505   1.94341&lt;br /&gt;
   A10        1.87931  -0.00022  -0.00003  -0.00026  -0.00029   1.87902&lt;br /&gt;
   A11        1.90054   0.00038   0.00002   0.00052   0.00054   1.90108&lt;br /&gt;
   A12        1.89667   0.00034   0.00008   0.00137   0.00145   1.89812&lt;br /&gt;
   A13        1.89892   0.00002  -0.00020   0.00087   0.00068   1.89960&lt;br /&gt;
   A14        1.90022   0.00024   0.00014   0.00269   0.00283   1.90305&lt;br /&gt;
   A15        1.93999   0.00028  -0.00023   0.00327   0.00304   1.94303&lt;br /&gt;
   A16        1.87975   0.00003   0.00003   0.00022   0.00024   1.87999&lt;br /&gt;
   A17        1.91729  -0.00027   0.00011  -0.00414  -0.00404   1.91325&lt;br /&gt;
   A18        1.92643  -0.00031   0.00015  -0.00290  -0.00276   1.92367&lt;br /&gt;
   A19        2.01817  -0.00029  -0.00010  -0.00151  -0.00165   2.01653&lt;br /&gt;
   A20        2.17492   0.00032   0.00015   0.00142   0.00153   2.17645&lt;br /&gt;
   A21        2.08965  -0.00003  -0.00004   0.00051   0.00044   2.09009&lt;br /&gt;
   A22        2.12661  -0.00013  -0.00013   0.00002  -0.00013   2.12648&lt;br /&gt;
   A23        2.12699   0.00002   0.00002   0.00012   0.00011   2.12710&lt;br /&gt;
   A24        2.02957   0.00011   0.00011  -0.00008   0.00001   2.02958&lt;br /&gt;
    D1        3.13861   0.00005  -0.00023   0.00813   0.00789  -3.13668&lt;br /&gt;
    D2        0.02565  -0.00026  -0.00199  -0.00631  -0.00829   0.01737&lt;br /&gt;
    D3       -0.00516  -0.00007  -0.00015   0.00363   0.00347  -0.00169&lt;br /&gt;
    D4       -3.11812  -0.00038  -0.00191  -0.01080  -0.01271  -3.13082&lt;br /&gt;
    D5       -0.10018   0.00017   0.00454  -0.01716  -0.01262  -0.11279&lt;br /&gt;
    D6       -2.16596   0.00008   0.00484  -0.01926  -0.01442  -2.18038&lt;br /&gt;
    D7        2.01588   0.00008   0.00467  -0.01989  -0.01522   2.00066&lt;br /&gt;
    D8        3.06895  -0.00012   0.00285  -0.03100  -0.02816   3.04079&lt;br /&gt;
    D9        1.00316  -0.00021   0.00315  -0.03310  -0.02996   0.97320&lt;br /&gt;
   D10       -1.09818  -0.00020   0.00298  -0.03373  -0.03076  -1.12893&lt;br /&gt;
   D11        0.97109   0.00019   0.00055   0.00606   0.00661   0.97771&lt;br /&gt;
   D12       -1.07301   0.00001   0.00054   0.00381   0.00436  -1.06865&lt;br /&gt;
   D13        3.08451   0.00005   0.00041   0.00354   0.00395   3.08846&lt;br /&gt;
   D14        3.10182   0.00002   0.00054   0.00335   0.00389   3.10571&lt;br /&gt;
   D15        1.05772  -0.00017   0.00054   0.00110   0.00163   1.05935&lt;br /&gt;
   D16       -1.06795  -0.00012   0.00040   0.00083   0.00123  -1.06672&lt;br /&gt;
   D17       -1.13886   0.00015   0.00056   0.00409   0.00465  -1.13421&lt;br /&gt;
   D18        3.10022  -0.00003   0.00055   0.00184   0.00239   3.10262&lt;br /&gt;
   D19        0.97456   0.00001   0.00042   0.00157   0.00198   0.97654&lt;br /&gt;
   D20       -1.12651  -0.00006  -0.00588   0.01975   0.01387  -1.11264&lt;br /&gt;
   D21        1.98304   0.00027  -0.00539   0.03505   0.02965   2.01269&lt;br /&gt;
   D22        0.97609  -0.00003  -0.00621   0.02022   0.01401   0.99010&lt;br /&gt;
   D23       -2.19755   0.00030  -0.00572   0.03551   0.02979  -2.16776&lt;br /&gt;
   D24        3.04634  -0.00034  -0.00601   0.01614   0.01014   3.05649&lt;br /&gt;
   D25       -0.12729  -0.00001  -0.00552   0.03144   0.02592  -0.10137&lt;br /&gt;
   D26        0.02465   0.00002   0.00089  -0.00462  -0.00373   0.02092&lt;br /&gt;
   D27       -3.11102  -0.00052  -0.00011  -0.01796  -0.01808  -3.12910&lt;br /&gt;
   D28        3.13297   0.00036   0.00140   0.01122   0.01263  -3.13758&lt;br /&gt;
   D29       -0.00270  -0.00019   0.00039  -0.00211  -0.00171  -0.00441&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.001350     0.000450     NO &lt;br /&gt;
 RMS     Force            0.000319     0.000300     NO &lt;br /&gt;
 Maximum Displacement     0.038756     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.014764     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-3.420390D-05&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.275516    0.589821   -0.258434&lt;br /&gt;
    2          1             0       -0.498176    1.489990    0.284718&lt;br /&gt;
    3          1             0        0.709884    0.518993   -0.678126&lt;br /&gt;
    4          6             0       -1.160213   -0.375141   -0.394869&lt;br /&gt;
    5          1             0       -0.898585   -1.264846   -0.942739&lt;br /&gt;
    6          6             0       -2.564749   -0.339900    0.154753&lt;br /&gt;
    7          1             0       -2.705853    0.539225    0.772527&lt;br /&gt;
    8          1             0       -2.735949   -1.212820    0.779417&lt;br /&gt;
    9          6             0       -3.618052   -0.328054   -0.986058&lt;br /&gt;
   10          1             0       -3.452172   -1.190626   -1.625750&lt;br /&gt;
   11          1             0       -3.476495    0.561381   -1.588585&lt;br /&gt;
   12          6             0       -5.022442   -0.367473   -0.436578&lt;br /&gt;
   13          1             0       -5.282525   -1.258514    0.109375&lt;br /&gt;
   14          6             0       -5.906102    0.599179   -0.568381&lt;br /&gt;
   15          1             0       -5.683591    1.500783   -1.109083&lt;br /&gt;
   16          1             0       -6.891372    0.527621   -0.148383&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074660   0.000000&lt;br /&gt;
     3  H    1.073392   1.824640   0.000000&lt;br /&gt;
     4  C    1.316228   2.092568   2.092121   0.000000&lt;br /&gt;
     5  H    2.072747   3.042383   2.416459   1.077119   0.000000&lt;br /&gt;
     6  C    2.505133   2.763351   3.486346   1.508658   2.199118&lt;br /&gt;
     7  H    2.640450   2.452702   3.711072   2.141934   3.076203&lt;br /&gt;
     8  H    3.221860   3.543662   4.122788   2.136259   2.518817&lt;br /&gt;
     9  C    3.541819   3.828026   4.420785   2.528378   2.876623&lt;br /&gt;
    10  H    3.889819   4.422859   4.598206   2.726382   2.644395&lt;br /&gt;
    11  H    3.466465   3.638950   4.284449   2.768969   3.224569&lt;br /&gt;
    12  C    4.845767   4.943624   5.805491   3.862462   4.250609&lt;br /&gt;
    13  H    5.349931   5.520417   6.299893   4.245947   4.508427&lt;br /&gt;
    14  C    5.639118   5.546799   6.617382   4.847976   5.356301&lt;br /&gt;
    15  H    5.549841   5.369481   6.482759   4.948752   5.529255&lt;br /&gt;
    16  H    6.617063   6.479713   7.619697   5.807057   6.305350&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083705   0.000000&lt;br /&gt;
     8  H    1.086971   1.752318   0.000000&lt;br /&gt;
     9  C    1.552751   2.162615   2.162827   0.000000&lt;br /&gt;
    10  H    2.163665   3.049772   2.509641   1.086624   0.000000&lt;br /&gt;
    11  H    2.163981   2.483793   3.050185   1.083592   1.752570&lt;br /&gt;
    12  C    2.527981   2.765976   2.724208   1.508573   2.134820&lt;br /&gt;
    13  H    2.869184   3.211055   2.633646   2.199135   2.522986&lt;br /&gt;
    14  C    3.545339   3.470335   3.892270   2.503875   3.216085&lt;br /&gt;
    15  H    3.835697   3.651298   4.429297   2.761564   3.534099&lt;br /&gt;
    16  H    4.423138   4.285648   4.599727   3.485470   4.118626&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.140056   0.000000&lt;br /&gt;
    13  H    3.075195   1.076876   0.000000&lt;br /&gt;
    14  C    2.635381   1.316299   2.073457   0.000000&lt;br /&gt;
    15  H    2.446155   2.092788   3.042896   1.074597   0.000000&lt;br /&gt;
    16  H    3.706306   2.092163   2.417666   1.073441   1.824478&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.818795    0.619962   -0.000054&lt;br /&gt;
    2          1             0       -2.625125    1.517964   -0.557707&lt;br /&gt;
    3          1             0       -3.779219    0.552627    0.474524&lt;br /&gt;
    4          6             0       -1.929830   -0.346560    0.089562&lt;br /&gt;
    5          1             0       -2.162121   -1.233997    0.654082&lt;br /&gt;
    6          6             0       -0.558302   -0.316149   -0.538159&lt;br /&gt;
    7          1             0       -0.450292    0.560764   -1.165672&lt;br /&gt;
    8          1             0       -0.424252   -1.191357   -1.168673&lt;br /&gt;
    9          6             0        0.557420   -0.303179    0.541672&lt;br /&gt;
   10          1             0        0.425938   -1.163416    1.192406&lt;br /&gt;
   11          1             0        0.451757    0.588410    1.148366&lt;br /&gt;
   12          6             0        1.928655   -0.347426   -0.085662&lt;br /&gt;
   13          1             0        2.155829   -1.240713   -0.642521&lt;br /&gt;
   14          6             0        2.820318    0.617641   -0.006752&lt;br /&gt;
   15          1             0        2.630384    1.521390    0.542721&lt;br /&gt;
   16          1             0        3.780300    0.542590   -0.481175&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     12.3910057      1.4232596      1.3782906&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.3085157805 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Harris functional with IExCor=  205 diagonalized for initial guess.&lt;br /&gt;
 ExpMin= 1.83D-01 ExpMax= 1.72D+02 ExpMxC= 1.72D+02 IAcc=1 IRadAn=         1 AccDes= 1.00D-06&lt;br /&gt;
 HarFok:  IExCor= 205 AccDes= 1.00D-06 IRadAn=         1 IDoV=1&lt;br /&gt;
 ScaDFX=  1.000000  1.000000  1.000000  1.000000&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692596640     A.U. after   13 cycles&lt;br /&gt;
             Convg  =    0.3801D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000110047   -0.000054384    0.000241418&lt;br /&gt;
    2          1          -0.000078143    0.000008784   -0.000118020&lt;br /&gt;
    3          1          -0.000071851    0.000001676   -0.000136416&lt;br /&gt;
    4          6           0.000449208   -0.000409694    0.000481351&lt;br /&gt;
    5          1          -0.000105725    0.000176633   -0.000231072&lt;br /&gt;
    6          6          -0.000317993    0.000335776   -0.000267916&lt;br /&gt;
    7          1           0.000107372   -0.000010459   -0.000032770&lt;br /&gt;
    8          1           0.000198303    0.000028225   -0.000109354&lt;br /&gt;
    9          6          -0.000112172    0.000153884    0.000203441&lt;br /&gt;
   10          1           0.000128540   -0.000132707   -0.000054430&lt;br /&gt;
   11          1           0.000229793   -0.000046721   -0.000023255&lt;br /&gt;
   12          6          -0.000252427    0.000283708   -0.000196183&lt;br /&gt;
   13          1          -0.000088708    0.000006230    0.000165701&lt;br /&gt;
   14          6          -0.000213277   -0.000395422   -0.000213004&lt;br /&gt;
   15          1           0.000162578    0.000050047    0.000177273&lt;br /&gt;
   16          1           0.000074549    0.000004424    0.000113235&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000481351 RMS     0.000197858&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000313832 RMS     0.000119323&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  14 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 12 13 14&lt;br /&gt;
 Trust test= 6.53D-01 RLast= 8.50D-02 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---    0.00146   0.00212   0.00239   0.01324   0.01697&lt;br /&gt;
     Eigenvalues ---    0.02670   0.02727   0.02800   0.03538   0.04042&lt;br /&gt;
     Eigenvalues ---    0.04221   0.05364   0.05405   0.08565   0.09319&lt;br /&gt;
     Eigenvalues ---    0.12600   0.12665   0.12944   0.14223   0.15972&lt;br /&gt;
     Eigenvalues ---    0.16000   0.16046   0.16163   0.20208   0.20481&lt;br /&gt;
     Eigenvalues ---    0.22159   0.24615   0.28194   0.29052   0.32861&lt;br /&gt;
     Eigenvalues ---    0.36507   0.37063   0.37219   0.37227   0.37229&lt;br /&gt;
     Eigenvalues ---    0.37241   0.37242   0.37278   0.37301   0.37880&lt;br /&gt;
     Eigenvalues ---    0.53939   0.614771000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-6.24956597D-06.&lt;br /&gt;
 Quartic linear search produced a step of -0.25484.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00384547 RMS(Int)=  0.00001424&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00001505 RMS(Int)=  0.00000238&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000238&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03081  -0.00004   0.00004  -0.00015  -0.00010   2.03071&lt;br /&gt;
    R2        2.02842  -0.00001  -0.00001  -0.00002  -0.00004   2.02838&lt;br /&gt;
    R3        2.48731  -0.00021   0.00014  -0.00047  -0.00033   2.48698&lt;br /&gt;
    R4        2.03546  -0.00005   0.00016  -0.00033  -0.00017   2.03529&lt;br /&gt;
    R5        2.85095   0.00000  -0.00013   0.00031   0.00018   2.85113&lt;br /&gt;
    R6        2.04790  -0.00004   0.00016  -0.00034  -0.00017   2.04773&lt;br /&gt;
    R7        2.05408  -0.00012   0.00015  -0.00042  -0.00027   2.05381&lt;br /&gt;
    R8        2.93427  -0.00008  -0.00028  -0.00010  -0.00038   2.93390&lt;br /&gt;
    R9        2.05342   0.00016  -0.00018   0.00058   0.00040   2.05382&lt;br /&gt;
   R10        2.04769   0.00000   0.00020  -0.00025  -0.00006   2.04764&lt;br /&gt;
   R11        2.85079   0.00031   0.00121  -0.00064   0.00057   2.85136&lt;br /&gt;
   R12        2.03500   0.00010   0.00009   0.00010   0.00018   2.03518&lt;br /&gt;
   R13        2.48744  -0.00027   0.00014  -0.00058  -0.00044   2.48701&lt;br /&gt;
   R14        2.03069  -0.00001   0.00026  -0.00039  -0.00013   2.03057&lt;br /&gt;
   R15        2.02851  -0.00002  -0.00010   0.00007  -0.00003   2.02848&lt;br /&gt;
    A1        2.02984   0.00008  -0.00007   0.00056   0.00049   2.03033&lt;br /&gt;
    A2        2.12612  -0.00002   0.00008  -0.00019  -0.00011   2.12600&lt;br /&gt;
    A3        2.12721  -0.00006  -0.00001  -0.00034  -0.00036   2.12685&lt;br /&gt;
    A4        2.08866   0.00010   0.00029  -0.00006   0.00023   2.08890&lt;br /&gt;
    A5        2.17836  -0.00022   0.00007  -0.00103  -0.00097   2.17739&lt;br /&gt;
    A6        2.01610   0.00012  -0.00042   0.00106   0.00063   2.01673&lt;br /&gt;
    A7        1.92607  -0.00009  -0.00004  -0.00036  -0.00040   1.92567&lt;br /&gt;
    A8        1.91478  -0.00018  -0.00086  -0.00054  -0.00140   1.91338&lt;br /&gt;
    A9        1.94341   0.00015   0.00129  -0.00119   0.00009   1.94350&lt;br /&gt;
   A10        1.87902   0.00005   0.00007   0.00035   0.00042   1.87944&lt;br /&gt;
   A11        1.90108   0.00005  -0.00014   0.00117   0.00104   1.90212&lt;br /&gt;
   A12        1.89812   0.00002  -0.00037   0.00066   0.00029   1.89840&lt;br /&gt;
   A13        1.89960  -0.00012  -0.00017  -0.00097  -0.00115   1.89845&lt;br /&gt;
   A14        1.90305  -0.00018  -0.00072   0.00020  -0.00052   1.90253&lt;br /&gt;
   A15        1.94303   0.00017  -0.00077   0.00145   0.00067   1.94370&lt;br /&gt;
   A16        1.87999   0.00001  -0.00006  -0.00034  -0.00040   1.87959&lt;br /&gt;
   A17        1.91325  -0.00002   0.00103  -0.00113  -0.00010   1.91315&lt;br /&gt;
   A18        1.92367   0.00013   0.00070   0.00072   0.00142   1.92509&lt;br /&gt;
   A19        2.01653   0.00001   0.00042  -0.00031   0.00012   2.01665&lt;br /&gt;
   A20        2.17645   0.00021  -0.00039   0.00117   0.00079   2.17724&lt;br /&gt;
   A21        2.09009  -0.00022  -0.00011  -0.00081  -0.00092   2.08918&lt;br /&gt;
   A22        2.12648  -0.00010   0.00003  -0.00059  -0.00056   2.12592&lt;br /&gt;
   A23        2.12710  -0.00001  -0.00003  -0.00002  -0.00004   2.12705&lt;br /&gt;
   A24        2.02958   0.00010   0.00000   0.00063   0.00063   2.03021&lt;br /&gt;
    D1       -3.13668  -0.00021  -0.00201  -0.00603  -0.00804   3.13846&lt;br /&gt;
    D2        0.01737  -0.00001   0.00211  -0.00209   0.00002   0.01738&lt;br /&gt;
    D3       -0.00169   0.00002  -0.00089  -0.00121  -0.00209  -0.00378&lt;br /&gt;
    D4       -3.13082   0.00022   0.00324   0.00273   0.00596  -3.12486&lt;br /&gt;
    D5       -0.11279  -0.00013   0.00322   0.00193   0.00515  -0.10765&lt;br /&gt;
    D6       -2.18038  -0.00003   0.00367   0.00206   0.00574  -2.17465&lt;br /&gt;
    D7        2.00066  -0.00003   0.00388   0.00237   0.00625   2.00691&lt;br /&gt;
    D8        3.04079   0.00006   0.00718   0.00573   0.01291   3.05370&lt;br /&gt;
    D9        0.97320   0.00016   0.00763   0.00586   0.01350   0.98670&lt;br /&gt;
   D10       -1.12893   0.00016   0.00784   0.00617   0.01401  -1.11493&lt;br /&gt;
   D11        0.97771  -0.00010  -0.00169   0.00162  -0.00007   0.97764&lt;br /&gt;
   D12       -1.06865   0.00006  -0.00111   0.00246   0.00135  -1.06730&lt;br /&gt;
   D13        3.08846  -0.00009  -0.00101   0.00048  -0.00052   3.08794&lt;br /&gt;
   D14        3.10571  -0.00008  -0.00099   0.00118   0.00019   3.10590&lt;br /&gt;
   D15        1.05935   0.00007  -0.00042   0.00202   0.00160   1.06096&lt;br /&gt;
   D16       -1.06672  -0.00007  -0.00031   0.00005  -0.00027  -1.06699&lt;br /&gt;
   D17       -1.13421   0.00002  -0.00118   0.00261   0.00143  -1.13278&lt;br /&gt;
   D18        3.10262   0.00017  -0.00061   0.00345   0.00284   3.10546&lt;br /&gt;
   D19        0.97654   0.00003  -0.00051   0.00148   0.00097   0.97751&lt;br /&gt;
   D20       -1.11264   0.00003  -0.00354   0.00250  -0.00104  -1.11368&lt;br /&gt;
   D21        2.01269  -0.00003  -0.00756   0.00602  -0.00153   2.01115&lt;br /&gt;
   D22        0.99010  -0.00003  -0.00357   0.00146  -0.00211   0.98799&lt;br /&gt;
   D23       -2.16776  -0.00008  -0.00759   0.00499  -0.00260  -2.17037&lt;br /&gt;
   D24        3.05649   0.00006  -0.00258   0.00079  -0.00179   3.05469&lt;br /&gt;
   D25       -0.10137   0.00000  -0.00661   0.00432  -0.00229  -0.10366&lt;br /&gt;
   D26        0.02092  -0.00017   0.00095  -0.00505  -0.00409   0.01682&lt;br /&gt;
   D27       -3.12910   0.00013   0.00461  -0.00285   0.00176  -3.12734&lt;br /&gt;
   D28       -3.13758  -0.00022  -0.00322  -0.00138  -0.00460   3.14100&lt;br /&gt;
   D29       -0.00441   0.00008   0.00044   0.00082   0.00125  -0.00316&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000314     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000119     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.017068     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.003845     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-6.084731D-06&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.274279    0.588221   -0.254943&lt;br /&gt;
    2          1             0       -0.495952    1.486880    0.290996&lt;br /&gt;
    3          1             0        0.709334    0.519221   -0.679061&lt;br /&gt;
    4          6             0       -1.160252   -0.374822   -0.394926&lt;br /&gt;
    5          1             0       -0.902443   -1.259948   -0.951771&lt;br /&gt;
    6          6             0       -2.564859   -0.337886    0.154672&lt;br /&gt;
    7          1             0       -2.705123    0.542513    0.770660&lt;br /&gt;
    8          1             0       -2.734827   -1.209604    0.781107&lt;br /&gt;
    9          6             0       -3.618170   -0.329286   -0.985889&lt;br /&gt;
   10          1             0       -3.451398   -1.194201   -1.622537&lt;br /&gt;
   11          1             0       -3.475327    0.557823   -1.591481&lt;br /&gt;
   12          6             0       -5.023130   -0.367734   -0.436974&lt;br /&gt;
   13          1             0       -5.283711   -1.257928    0.110314&lt;br /&gt;
   14          6             0       -5.907011    0.598268   -0.569746&lt;br /&gt;
   15          1             0       -5.682986    1.500815   -1.108111&lt;br /&gt;
   16          1             0       -6.891775    0.527291   -0.148505&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074605   0.000000&lt;br /&gt;
     3  H    1.073374   1.824853   0.000000&lt;br /&gt;
     4  C    1.316054   2.092300   2.091745   0.000000&lt;br /&gt;
     5  H    2.072653   3.042166   2.416120   1.077028   0.000000&lt;br /&gt;
     6  C    2.504440   2.762016   3.485697   1.508755   2.199555&lt;br /&gt;
     7  H    2.638741   2.449968   3.709548   2.141663   3.076571&lt;br /&gt;
     8  H    3.218675   3.538897   4.121064   2.135228   2.522505&lt;br /&gt;
     9  C    3.543686   3.831075   4.420565   2.528373   2.870970&lt;br /&gt;
    10  H    3.891199   4.425434   4.597570   2.725391   2.636554&lt;br /&gt;
    11  H    3.469001   3.644659   4.283151   2.767876   3.214537&lt;br /&gt;
    12  C    4.847533   4.946199   5.805725   3.863113   4.247485&lt;br /&gt;
    13  H    5.351270   5.521708   6.300631   4.247123   4.508163&lt;br /&gt;
    14  C    5.641532   5.550682   6.617720   4.848627   5.352066&lt;br /&gt;
    15  H    5.551111   5.372431   6.481463   4.947905   5.522667&lt;br /&gt;
    16  H    6.618632   6.482324   7.619607   5.807313   6.301710&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083614   0.000000&lt;br /&gt;
     8  H    1.086831   1.752400   0.000000&lt;br /&gt;
     9  C    1.552552   2.163135   2.162759   0.000000&lt;br /&gt;
    10  H    2.162798   3.049671   2.508229   1.086836   0.000000&lt;br /&gt;
    11  H    2.163399   2.484584   3.049804   1.083562   1.752463&lt;br /&gt;
    12  C    2.528642   2.767687   2.725582   1.508874   2.135170&lt;br /&gt;
    13  H    2.870644   3.213528   2.636116   2.199561   2.522738&lt;br /&gt;
    14  C    3.545581   3.471583   3.893066   2.504462   3.217352&lt;br /&gt;
    15  H    3.833818   3.649081   4.427997   2.761824   3.536627&lt;br /&gt;
    16  H    4.422968   4.286391   4.600130   3.485890   4.119769&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141317   0.000000&lt;br /&gt;
    13  H    3.076249   1.076973   0.000000&lt;br /&gt;
    14  C    2.637929   1.316068   2.072789   0.000000&lt;br /&gt;
    15  H    2.448804   2.092203   3.042145   1.074530   0.000000&lt;br /&gt;
    16  H    3.708804   2.091917   2.416581   1.073425   1.824764&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -2.820386    0.618092    0.001079&lt;br /&gt;
    2          1             0       -2.628229    1.517509   -0.554710&lt;br /&gt;
    3          1             0       -3.778569    0.549953    0.480008&lt;br /&gt;
    4          6             0       -1.929752   -0.346831    0.088787&lt;br /&gt;
    5          1             0       -2.157345   -1.232674    0.657536&lt;br /&gt;
    6          6             0       -0.558407   -0.311244   -0.539296&lt;br /&gt;
    7          1             0       -0.451525    0.570208   -1.160454&lt;br /&gt;
    8          1             0       -0.425801   -1.181933   -1.176097&lt;br /&gt;
    9          6             0        0.557734   -0.306949    0.539883&lt;br /&gt;
   10          1             0        0.425584   -1.172913    1.183198&lt;br /&gt;
   11          1             0        0.451061    0.579127    1.154372&lt;br /&gt;
   12          6             0        1.929328   -0.346748   -0.087691&lt;br /&gt;
   13          1             0        2.156842   -1.236244   -0.650635&lt;br /&gt;
   14          6             0        2.821144    0.617387   -0.003173&lt;br /&gt;
   15          1             0        2.629645    1.519189    0.548820&lt;br /&gt;
   16          1             0        3.780372    0.545540   -0.479577&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     12.4074709      1.4224465      1.3778276&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.3047935371 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692601951     A.U. after    9 cycles&lt;br /&gt;
             Convg  =    0.4631D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000002943    0.000140952   -0.000112627&lt;br /&gt;
    2          1           0.000032537   -0.000051379    0.000077166&lt;br /&gt;
    3          1           0.000027929   -0.000017710    0.000043202&lt;br /&gt;
    4          6          -0.000020559    0.000030333   -0.000087784&lt;br /&gt;
    5          1          -0.000005628   -0.000053416    0.000074575&lt;br /&gt;
    6          6          -0.000063372   -0.000001446   -0.000059082&lt;br /&gt;
    7          1           0.000044047    0.000006767    0.000002993&lt;br /&gt;
    8          1          -0.000007995   -0.000024408    0.000012533&lt;br /&gt;
    9          6          -0.000036008   -0.000021068    0.000137319&lt;br /&gt;
   10          1           0.000009286   -0.000018995   -0.000018977&lt;br /&gt;
   11          1           0.000039930    0.000021337   -0.000018443&lt;br /&gt;
   12          6           0.000004200   -0.000045946   -0.000125348&lt;br /&gt;
   13          1           0.000005625   -0.000027176    0.000040129&lt;br /&gt;
   14          6          -0.000071662    0.000042784    0.000074222&lt;br /&gt;
   15          1           0.000006144    0.000030700   -0.000039548&lt;br /&gt;
   16          1           0.000032582   -0.000011328   -0.000000329&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000140952 RMS     0.000052681&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000108619 RMS     0.000031418&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  15 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 12 13 14 15&lt;br /&gt;
 Trust test= 8.73D-01 RLast= 2.90D-02 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---    0.00144   0.00218   0.00239   0.01435   0.01704&lt;br /&gt;
     Eigenvalues ---    0.02647   0.02747   0.03077   0.03811   0.04015&lt;br /&gt;
     Eigenvalues ---    0.04348   0.05315   0.05403   0.08537   0.09087&lt;br /&gt;
     Eigenvalues ---    0.12529   0.12656   0.13065   0.14173   0.15974&lt;br /&gt;
     Eigenvalues ---    0.16002   0.16036   0.16225   0.20096   0.20470&lt;br /&gt;
     Eigenvalues ---    0.21935   0.24587   0.28176   0.29022   0.32755&lt;br /&gt;
     Eigenvalues ---    0.36583   0.36897   0.37206   0.37227   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37241   0.37255   0.37265   0.37303   0.37890&lt;br /&gt;
     Eigenvalues ---    0.53919   0.622221000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-8.98765354D-07.&lt;br /&gt;
 Quartic linear search produced a step of -0.11280.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00188987 RMS(Int)=  0.00000201&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000264 RMS(Int)=  0.00000026&lt;br /&gt;
 Iteration  3 RMS(Cart)=  0.00000000 RMS(Int)=  0.00000026&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03071  -0.00001   0.00001  -0.00005  -0.00004   2.03067&lt;br /&gt;
    R2        2.02838   0.00001   0.00000   0.00001   0.00002   2.02840&lt;br /&gt;
    R3        2.48698   0.00010   0.00004   0.00005   0.00008   2.48707&lt;br /&gt;
    R4        2.03529   0.00000   0.00002  -0.00002   0.00000   2.03529&lt;br /&gt;
    R5        2.85113   0.00004  -0.00002   0.00012   0.00010   2.85123&lt;br /&gt;
    R6        2.04773   0.00000   0.00002  -0.00002   0.00000   2.04773&lt;br /&gt;
    R7        2.05381   0.00003   0.00003   0.00002   0.00005   2.05386&lt;br /&gt;
    R8        2.93390  -0.00003   0.00004  -0.00016  -0.00012   2.93378&lt;br /&gt;
    R9        2.05382   0.00003  -0.00005   0.00014   0.00009   2.05391&lt;br /&gt;
   R10        2.04764   0.00003   0.00001   0.00007   0.00008   2.04771&lt;br /&gt;
   R11        2.85136   0.00000  -0.00006   0.00016   0.00010   2.85146&lt;br /&gt;
   R12        2.03518   0.00004  -0.00002   0.00013   0.00011   2.03529&lt;br /&gt;
   R13        2.48701   0.00006   0.00005  -0.00002   0.00003   2.48704&lt;br /&gt;
   R14        2.03057   0.00005   0.00001   0.00009   0.00010   2.03067&lt;br /&gt;
   R15        2.02848  -0.00003   0.00000  -0.00008  -0.00007   2.02841&lt;br /&gt;
    A1        2.03033   0.00000  -0.00005   0.00009   0.00004   2.03037&lt;br /&gt;
    A2        2.12600  -0.00001   0.00001  -0.00007  -0.00006   2.12595&lt;br /&gt;
    A3        2.12685   0.00001   0.00004  -0.00002   0.00002   2.12687&lt;br /&gt;
    A4        2.08890   0.00003  -0.00003   0.00025   0.00023   2.08912&lt;br /&gt;
    A5        2.17739   0.00001   0.00011  -0.00015  -0.00004   2.17735&lt;br /&gt;
    A6        2.01673  -0.00004  -0.00007  -0.00008  -0.00015   2.01658&lt;br /&gt;
    A7        1.92567  -0.00005   0.00005  -0.00041  -0.00037   1.92530&lt;br /&gt;
    A8        1.91338   0.00000   0.00016  -0.00039  -0.00023   1.91315&lt;br /&gt;
    A9        1.94350   0.00005  -0.00001   0.00023   0.00022   1.94372&lt;br /&gt;
   A10        1.87944   0.00001  -0.00005   0.00008   0.00003   1.87947&lt;br /&gt;
   A11        1.90212   0.00002  -0.00012   0.00049   0.00037   1.90248&lt;br /&gt;
   A12        1.89840  -0.00002  -0.00003   0.00001  -0.00002   1.89838&lt;br /&gt;
   A13        1.89845  -0.00001   0.00013  -0.00024  -0.00011   1.89834&lt;br /&gt;
   A14        1.90253  -0.00004   0.00006  -0.00030  -0.00024   1.90228&lt;br /&gt;
   A15        1.94370   0.00004  -0.00008   0.00020   0.00013   1.94382&lt;br /&gt;
   A16        1.87959   0.00000   0.00004  -0.00021  -0.00016   1.87943&lt;br /&gt;
   A17        1.91315  -0.00001   0.00001  -0.00001   0.00001   1.91315&lt;br /&gt;
   A18        1.92509   0.00002  -0.00016   0.00052   0.00036   1.92545&lt;br /&gt;
   A19        2.01665  -0.00003  -0.00001  -0.00006  -0.00007   2.01657&lt;br /&gt;
   A20        2.17724   0.00004  -0.00009   0.00025   0.00016   2.17740&lt;br /&gt;
   A21        2.08918  -0.00001   0.00010  -0.00022  -0.00011   2.08907&lt;br /&gt;
   A22        2.12592   0.00001   0.00006  -0.00008  -0.00002   2.12590&lt;br /&gt;
   A23        2.12705  -0.00002   0.00001  -0.00012  -0.00012   2.12693&lt;br /&gt;
   A24        2.03021   0.00001  -0.00007   0.00021   0.00014   2.03035&lt;br /&gt;
    D1        3.13846   0.00011   0.00091   0.00247   0.00337  -3.14135&lt;br /&gt;
    D2        0.01738   0.00006   0.00000   0.00103   0.00103   0.01841&lt;br /&gt;
    D3       -0.00378  -0.00002   0.00024  -0.00027  -0.00003  -0.00381&lt;br /&gt;
    D4       -3.12486  -0.00007  -0.00067  -0.00170  -0.00238  -3.12723&lt;br /&gt;
    D5       -0.10765   0.00001  -0.00058   0.00404   0.00346  -0.10418&lt;br /&gt;
    D6       -2.17465   0.00003  -0.00065   0.00443   0.00379  -2.17086&lt;br /&gt;
    D7        2.00691   0.00004  -0.00070   0.00453   0.00383   2.01074&lt;br /&gt;
    D8        3.05370  -0.00004  -0.00146   0.00266   0.00120   3.05490&lt;br /&gt;
    D9        0.98670  -0.00002  -0.00152   0.00305   0.00152   0.98823&lt;br /&gt;
   D10       -1.11493  -0.00001  -0.00158   0.00314   0.00156  -1.11336&lt;br /&gt;
   D11        0.97764   0.00000   0.00001  -0.00040  -0.00039   0.97725&lt;br /&gt;
   D12       -1.06730   0.00002  -0.00015   0.00015   0.00000  -1.06731&lt;br /&gt;
   D13        3.08794   0.00000   0.00006  -0.00043  -0.00037   3.08756&lt;br /&gt;
   D14        3.10590  -0.00002  -0.00002  -0.00044  -0.00046   3.10544&lt;br /&gt;
   D15        1.06096   0.00001  -0.00018   0.00011  -0.00007   1.06089&lt;br /&gt;
   D16       -1.06699  -0.00002   0.00003  -0.00047  -0.00044  -1.06743&lt;br /&gt;
   D17       -1.13278  -0.00001  -0.00016  -0.00006  -0.00022  -1.13301&lt;br /&gt;
   D18        3.10546   0.00001  -0.00032   0.00048   0.00016   3.10562&lt;br /&gt;
   D19        0.97751  -0.00001  -0.00011  -0.00010  -0.00021   0.97730&lt;br /&gt;
   D20       -1.11368   0.00001   0.00012  -0.00003   0.00008  -1.11359&lt;br /&gt;
   D21        2.01115  -0.00002   0.00017  -0.00173  -0.00156   2.00960&lt;br /&gt;
   D22        0.98799   0.00001   0.00024  -0.00020   0.00003   0.98802&lt;br /&gt;
   D23       -2.17037  -0.00002   0.00029  -0.00190  -0.00161  -2.17197&lt;br /&gt;
   D24        3.05469   0.00002   0.00020  -0.00014   0.00006   3.05475&lt;br /&gt;
   D25       -0.10366  -0.00001   0.00026  -0.00184  -0.00158  -0.10524&lt;br /&gt;
   D26        0.01682   0.00003   0.00046   0.00030   0.00076   0.01758&lt;br /&gt;
   D27       -3.12734   0.00002  -0.00020   0.00127   0.00107  -3.12627&lt;br /&gt;
   D28        3.14100   0.00000   0.00052  -0.00146  -0.00094   3.14006&lt;br /&gt;
   D29       -0.00316  -0.00001  -0.00014  -0.00049  -0.00063  -0.00379&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000109     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.006516     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.001890     0.001200     NO &lt;br /&gt;
 Predicted change in Energy=-5.364606D-07&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.273407    0.587991   -0.254280&lt;br /&gt;
    2          1             0       -0.493789    1.485246    0.294444&lt;br /&gt;
    3          1             0        0.710833    0.517918   -0.676789&lt;br /&gt;
    4          6             0       -1.160489   -0.373788   -0.396341&lt;br /&gt;
    5          1             0       -0.903190   -1.259006   -0.953273&lt;br /&gt;
    6          6             0       -2.565060   -0.336449    0.153466&lt;br /&gt;
    7          1             0       -2.704952    0.544674    0.768500&lt;br /&gt;
    8          1             0       -2.734486   -1.207471    0.781057&lt;br /&gt;
    9          6             0       -3.618773   -0.329659   -0.986650&lt;br /&gt;
   10          1             0       -3.451690   -1.195255   -1.622375&lt;br /&gt;
   11          1             0       -3.476178    0.556767   -1.593373&lt;br /&gt;
   12          6             0       -5.023619   -0.368228   -0.437307&lt;br /&gt;
   13          1             0       -5.283513   -1.257993    0.111118&lt;br /&gt;
   14          6             0       -5.907643    0.597761   -0.569373&lt;br /&gt;
   15          1             0       -5.684094    1.500286   -1.108077&lt;br /&gt;
   16          1             0       -6.891857    0.526828   -0.146942&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074585   0.000000&lt;br /&gt;
     3  H    1.073383   1.824865   0.000000&lt;br /&gt;
     4  C    1.316099   2.092291   2.091802   0.000000&lt;br /&gt;
     5  H    2.072828   3.042257   2.416397   1.077027   0.000000&lt;br /&gt;
     6  C    2.504500   2.761994   3.485791   1.508808   2.199499&lt;br /&gt;
     7  H    2.638251   2.449213   3.709065   2.141446   3.076379&lt;br /&gt;
     8  H    3.217533   3.536698   4.119770   2.135125   2.522737&lt;br /&gt;
     9  C    3.545408   3.834137   4.422656   2.528551   2.870399&lt;br /&gt;
    10  H    3.892702   4.428144   4.599531   2.725356   2.635643&lt;br /&gt;
    11  H    3.471583   3.649736   4.286338   2.767893   3.213569&lt;br /&gt;
    12  C    4.848956   4.948756   5.807456   3.863351   4.247075&lt;br /&gt;
    13  H    5.351854   5.522719   6.301336   4.247194   4.507788&lt;br /&gt;
    14  C    5.643049   5.553704   6.619829   4.848641   5.351590&lt;br /&gt;
    15  H    5.553088   5.376482   6.484300   4.947901   5.522201&lt;br /&gt;
    16  H    6.619603   6.484494   7.621136   5.807055   6.301072&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083611   0.000000&lt;br /&gt;
     8  H    1.086855   1.752438   0.000000&lt;br /&gt;
     9  C    1.552489   2.163349   2.162708   0.000000&lt;br /&gt;
    10  H    2.162700   3.049795   2.508190   1.086885   0.000000&lt;br /&gt;
    11  H    2.163196   2.484629   3.049681   1.083603   1.752432&lt;br /&gt;
    12  C    2.528742   2.768317   2.725595   1.508927   2.135257&lt;br /&gt;
    13  H    2.870718   3.214147   2.636078   2.199604   2.522798&lt;br /&gt;
    14  C    3.545152   3.471305   3.892486   2.504627   3.217984&lt;br /&gt;
    15  H    3.833205   3.648291   4.427298   2.762064   3.537523&lt;br /&gt;
    16  H    4.422292   4.285852   4.599208   3.485938   4.120343&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141653   0.000000&lt;br /&gt;
    13  H    3.076540   1.077031   0.000000&lt;br /&gt;
    14  C    2.638613   1.316083   2.072783   0.000000&lt;br /&gt;
    15  H    2.449619   2.092249   3.042205   1.074583   0.000000&lt;br /&gt;
    16  H    3.709437   2.091830   2.416393   1.073386   1.824854&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.821572    0.617213   -0.002391&lt;br /&gt;
    2          1             0        2.631039    1.517267    0.552887&lt;br /&gt;
    3          1             0        3.780461    0.546107   -0.479493&lt;br /&gt;
    4          6             0        1.929523   -0.346593   -0.088661&lt;br /&gt;
    5          1             0        2.156429   -1.234605   -0.654288&lt;br /&gt;
    6          6             0        0.558230   -0.308081    0.539492&lt;br /&gt;
    7          1             0        0.451837    0.576330    1.156509&lt;br /&gt;
    8          1             0        0.426058   -1.175753    1.180529&lt;br /&gt;
    9          6             0       -0.558282   -0.309243   -0.539221&lt;br /&gt;
   10          1             0       -0.425937   -1.178208   -1.178520&lt;br /&gt;
   11          1             0       -0.451744    0.573914   -1.157992&lt;br /&gt;
   12          6             0       -1.929746   -0.346642    0.088910&lt;br /&gt;
   13          1             0       -2.156686   -1.233633    0.656131&lt;br /&gt;
   14          6             0       -2.821475    0.617349    0.001647&lt;br /&gt;
   15          1             0       -2.630293    1.517106   -0.553885&lt;br /&gt;
   16          1             0       -3.780102    0.547452    0.479461&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     12.4178920      1.4218677      1.3774195&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.2941095679 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692602276     A.U. after   14 cycles&lt;br /&gt;
             Convg  =    0.2346D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6           0.000050690   -0.000030590    0.000063054&lt;br /&gt;
    2          1          -0.000013289    0.000021440   -0.000036737&lt;br /&gt;
    3          1          -0.000006479    0.000016110   -0.000021230&lt;br /&gt;
    4          6           0.000013961    0.000001317    0.000025686&lt;br /&gt;
    5          1          -0.000012954    0.000003631   -0.000019722&lt;br /&gt;
    6          6          -0.000021329   -0.000013237   -0.000039926&lt;br /&gt;
    7          1          -0.000010422    0.000003791   -0.000002595&lt;br /&gt;
    8          1          -0.000007326   -0.000016029    0.000011794&lt;br /&gt;
    9          6          -0.000024701   -0.000022269    0.000042920&lt;br /&gt;
   10          1           0.000000249    0.000001331    0.000002684&lt;br /&gt;
   11          1          -0.000020391    0.000010682   -0.000006074&lt;br /&gt;
   12          6           0.000069181    0.000005767    0.000015940&lt;br /&gt;
   13          1           0.000004891   -0.000020929   -0.000029068&lt;br /&gt;
   14          6          -0.000005643    0.000052210    0.000032773&lt;br /&gt;
   15          1          -0.000014697   -0.000007001   -0.000029593&lt;br /&gt;
   16          1          -0.000001742   -0.000006225   -0.000009906&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000069181 RMS     0.000024776&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000056240 RMS     0.000016245&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  16 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 12 13 14 15 16&lt;br /&gt;
&lt;br /&gt;
 Trust test= 6.05D-01 RLast= 8.80D-03 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---    0.00148   0.00216   0.00239   0.01505   0.01707&lt;br /&gt;
     Eigenvalues ---    0.02690   0.02843   0.03604   0.03995   0.04230&lt;br /&gt;
     Eigenvalues ---    0.04599   0.05311   0.05399   0.08469   0.09081&lt;br /&gt;
     Eigenvalues ---    0.12647   0.12689   0.13010   0.14216   0.15916&lt;br /&gt;
     Eigenvalues ---    0.15989   0.16047   0.16173   0.19809   0.20564&lt;br /&gt;
     Eigenvalues ---    0.21784   0.24389   0.28336   0.28972   0.32509&lt;br /&gt;
     Eigenvalues ---    0.36542   0.36846   0.37152   0.37225   0.37227&lt;br /&gt;
     Eigenvalues ---    0.37236   0.37244   0.37263   0.37315   0.37887&lt;br /&gt;
     Eigenvalues ---    0.53962   0.619831000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda=-8.69467543D-08.&lt;br /&gt;
 Quartic linear search produced a step of -0.28295.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00062932 RMS(Int)=  0.00000029&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000035 RMS(Int)=  0.00000007&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03067   0.00000   0.00001  -0.00001   0.00001   2.03068&lt;br /&gt;
    R2        2.02840   0.00000  -0.00001   0.00001   0.00001   2.02841&lt;br /&gt;
    R3        2.48707   0.00003  -0.00002   0.00007   0.00005   2.48711&lt;br /&gt;
    R4        2.03529   0.00000   0.00000   0.00002   0.00002   2.03530&lt;br /&gt;
    R5        2.85123   0.00003  -0.00003   0.00007   0.00004   2.85128&lt;br /&gt;
    R6        2.04773   0.00000   0.00000   0.00001   0.00001   2.04774&lt;br /&gt;
    R7        2.05386   0.00002  -0.00001   0.00007   0.00005   2.05391&lt;br /&gt;
    R8        2.93378  -0.00002   0.00003  -0.00007  -0.00004   2.93374&lt;br /&gt;
    R9        2.05391   0.00000  -0.00003   0.00002   0.00000   2.05391&lt;br /&gt;
   R10        2.04771   0.00001  -0.00002   0.00005   0.00003   2.04774&lt;br /&gt;
   R11        2.85146  -0.00006  -0.00003  -0.00013  -0.00016   2.85130&lt;br /&gt;
   R12        2.03529   0.00000  -0.00003   0.00004   0.00001   2.03531&lt;br /&gt;
   R13        2.48704   0.00004  -0.00001   0.00008   0.00007   2.48710&lt;br /&gt;
   R14        2.03067   0.00001  -0.00003   0.00006   0.00003   2.03069&lt;br /&gt;
   R15        2.02841   0.00000   0.00002  -0.00003  -0.00001   2.02840&lt;br /&gt;
    A1        2.03037   0.00000  -0.00001  -0.00003  -0.00004   2.03033&lt;br /&gt;
    A2        2.12595   0.00000   0.00002  -0.00001   0.00000   2.12595&lt;br /&gt;
    A3        2.12687   0.00001   0.00000   0.00004   0.00004   2.12690&lt;br /&gt;
    A4        2.08912   0.00000  -0.00006   0.00008   0.00001   2.08914&lt;br /&gt;
    A5        2.17735   0.00002   0.00001   0.00008   0.00010   2.17745&lt;br /&gt;
    A6        2.01658  -0.00002   0.00004  -0.00016  -0.00012   2.01646&lt;br /&gt;
    A7        1.92530   0.00000   0.00010  -0.00011  -0.00001   1.92529&lt;br /&gt;
    A8        1.91315   0.00000   0.00007  -0.00004   0.00002   1.91317&lt;br /&gt;
    A9        1.94372   0.00002  -0.00006   0.00017   0.00011   1.94383&lt;br /&gt;
   A10        1.87947   0.00000  -0.00001   0.00000  -0.00001   1.87946&lt;br /&gt;
   A11        1.90248  -0.00002  -0.00010   0.00000  -0.00010   1.90238&lt;br /&gt;
   A12        1.89838   0.00000   0.00001  -0.00002  -0.00001   1.89837&lt;br /&gt;
   A13        1.89834   0.00000   0.00003   0.00001   0.00004   1.89838&lt;br /&gt;
   A14        1.90228   0.00002   0.00007  -0.00001   0.00005   1.90234&lt;br /&gt;
   A15        1.94382   0.00000  -0.00004   0.00001  -0.00003   1.94380&lt;br /&gt;
   A16        1.87943   0.00000   0.00005  -0.00002   0.00003   1.87946&lt;br /&gt;
   A17        1.91315   0.00000   0.00000   0.00003   0.00003   1.91318&lt;br /&gt;
   A18        1.92545  -0.00002  -0.00010  -0.00001  -0.00012   1.92534&lt;br /&gt;
   A19        2.01657  -0.00002   0.00002  -0.00012  -0.00010   2.01647&lt;br /&gt;
   A20        2.17740   0.00001  -0.00005   0.00006   0.00002   2.17742&lt;br /&gt;
   A21        2.08907   0.00001   0.00003   0.00006   0.00009   2.08916&lt;br /&gt;
   A22        2.12590   0.00001   0.00001   0.00005   0.00005   2.12595&lt;br /&gt;
   A23        2.12693  -0.00001   0.00003  -0.00006  -0.00003   2.12690&lt;br /&gt;
   A24        2.03035   0.00000  -0.00004   0.00002  -0.00002   2.03032&lt;br /&gt;
    D1       -3.14135  -0.00005  -0.00095   0.00003  -0.00092   3.14091&lt;br /&gt;
    D2        0.01841  -0.00003  -0.00029  -0.00010  -0.00039   0.01802&lt;br /&gt;
    D3       -0.00381   0.00002   0.00001   0.00023   0.00024  -0.00357&lt;br /&gt;
    D4       -3.12723   0.00003   0.00067   0.00010   0.00077  -3.12646&lt;br /&gt;
    D5       -0.10418  -0.00001  -0.00098  -0.00012  -0.00110  -0.10529&lt;br /&gt;
    D6       -2.17086  -0.00001  -0.00107  -0.00003  -0.00110  -2.17196&lt;br /&gt;
    D7        2.01074  -0.00001  -0.00108  -0.00008  -0.00117   2.00957&lt;br /&gt;
    D8        3.05490   0.00001  -0.00034  -0.00025  -0.00059   3.05431&lt;br /&gt;
    D9        0.98823   0.00001  -0.00043  -0.00015  -0.00058   0.98764&lt;br /&gt;
   D10       -1.11336   0.00000  -0.00044  -0.00021  -0.00065  -1.11402&lt;br /&gt;
   D11        0.97725   0.00000   0.00011  -0.00012  -0.00001   0.97724&lt;br /&gt;
   D12       -1.06731  -0.00001   0.00000  -0.00009  -0.00009  -1.06740&lt;br /&gt;
   D13        3.08756   0.00001   0.00011  -0.00007   0.00003   3.08760&lt;br /&gt;
   D14        3.10544   0.00001   0.00013  -0.00015  -0.00002   3.10543&lt;br /&gt;
   D15        1.06089   0.00000   0.00002  -0.00012  -0.00010   1.06078&lt;br /&gt;
   D16       -1.06743   0.00001   0.00013  -0.00010   0.00002  -1.06741&lt;br /&gt;
   D17       -1.13301   0.00000   0.00006  -0.00016  -0.00010  -1.13310&lt;br /&gt;
   D18        3.10562  -0.00001  -0.00005  -0.00013  -0.00018   3.10544&lt;br /&gt;
   D19        0.97730   0.00000   0.00006  -0.00011  -0.00005   0.97725&lt;br /&gt;
   D20       -1.11359  -0.00001  -0.00002  -0.00076  -0.00078  -1.11438&lt;br /&gt;
   D21        2.00960   0.00001   0.00044  -0.00078  -0.00033   2.00926&lt;br /&gt;
   D22        0.98802  -0.00001  -0.00001  -0.00073  -0.00074   0.98729&lt;br /&gt;
   D23       -2.17197   0.00001   0.00045  -0.00074  -0.00029  -2.17226&lt;br /&gt;
   D24        3.05475  -0.00001  -0.00002  -0.00074  -0.00076   3.05399&lt;br /&gt;
   D25       -0.10524   0.00000   0.00045  -0.00075  -0.00031  -0.10555&lt;br /&gt;
   D26        0.01758   0.00002  -0.00021   0.00073   0.00052   0.01810&lt;br /&gt;
   D27       -3.12627  -0.00002  -0.00030  -0.00009  -0.00039  -3.12666&lt;br /&gt;
   D28        3.14006   0.00004   0.00027   0.00072   0.00098   3.14104&lt;br /&gt;
   D29       -0.00379   0.00000   0.00018  -0.00011   0.00007  -0.00372&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000056     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000016     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.002456     0.001800     NO &lt;br /&gt;
 RMS     Displacement     0.000629     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.033577D-07&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.273574    0.588091   -0.254442&lt;br /&gt;
    2          1             0       -0.494414    1.485932    0.293145&lt;br /&gt;
    3          1             0        0.710538    0.518248   -0.677294&lt;br /&gt;
    4          6             0       -1.160384   -0.374076   -0.395799&lt;br /&gt;
    5          1             0       -0.902924   -1.259520   -0.952314&lt;br /&gt;
    6          6             0       -2.565109   -0.336760    0.153680&lt;br /&gt;
    7          1             0       -2.705101    0.544277    0.768825&lt;br /&gt;
    8          1             0       -2.734752   -1.207888    0.781114&lt;br /&gt;
    9          6             0       -3.618656   -0.329642   -0.986561&lt;br /&gt;
   10          1             0       -3.451575   -1.195090   -1.622484&lt;br /&gt;
   11          1             0       -3.476020    0.556953   -1.593055&lt;br /&gt;
   12          6             0       -5.023487   -0.368185   -0.437404&lt;br /&gt;
   13          1             0       -5.283665   -1.258407    0.110158&lt;br /&gt;
   14          6             0       -5.907328    0.598077   -0.569054&lt;br /&gt;
   15          1             0       -5.683756    1.500667   -1.107668&lt;br /&gt;
   16          1             0       -6.891701    0.526944   -0.147040&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074588   0.000000&lt;br /&gt;
     3  H    1.073386   1.824848   0.000000&lt;br /&gt;
     4  C    1.316124   2.092317   2.091849   0.000000&lt;br /&gt;
     5  H    2.072867   3.042294   2.416476   1.077036   0.000000&lt;br /&gt;
     6  C    2.504606   2.762143   3.485889   1.508831   2.199448&lt;br /&gt;
     7  H    2.638431   2.449515   3.709248   2.141464   3.076337&lt;br /&gt;
     8  H    3.217968   3.537498   4.120258   2.135181   2.522506&lt;br /&gt;
     9  C    3.545111   3.833385   4.422271   2.528650   2.870723&lt;br /&gt;
    10  H    3.892425   4.427450   4.599141   2.725505   2.636077&lt;br /&gt;
    11  H    3.471098   3.648387   4.285719   2.768105   3.214179&lt;br /&gt;
    12  C    4.848671   4.948126   5.807095   3.863331   4.247193&lt;br /&gt;
    13  H    5.351963   5.522844   6.301353   4.247291   4.507743&lt;br /&gt;
    14  C    5.642541   5.552595   6.619232   4.848564   5.351786&lt;br /&gt;
    15  H    5.552554   5.375106   6.483622   4.947960   5.522601&lt;br /&gt;
    16  H    6.619281   6.483726   7.620714   5.807040   6.301220&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083618   0.000000&lt;br /&gt;
     8  H    1.086883   1.752459   0.000000&lt;br /&gt;
     9  C    1.552470   2.163261   2.162701   0.000000&lt;br /&gt;
    10  H    2.162709   3.049751   2.508243   1.086883   0.000000&lt;br /&gt;
    11  H    2.163231   2.484543   3.049724   1.083619   1.752461&lt;br /&gt;
    12  C    2.528634   2.768120   2.725471   1.508844   2.135204&lt;br /&gt;
    13  H    2.870866   3.214422   2.636227   2.199466   2.522422&lt;br /&gt;
    14  C    3.544953   3.470889   3.892261   2.504595   3.218056&lt;br /&gt;
    15  H    3.833157   3.648053   4.427232   2.762125   3.537623&lt;br /&gt;
    16  H    4.422196   4.285642   4.599058   3.485880   4.120292&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141509   0.000000&lt;br /&gt;
    13  H    3.076369   1.077039   0.000000&lt;br /&gt;
    14  C    2.638471   1.316119   2.072876   0.000000&lt;br /&gt;
    15  H    2.449550   2.092323   3.042312   1.074597   0.000000&lt;br /&gt;
    16  H    3.709277   2.091839   2.416487   1.073381   1.824849&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.821312    0.617459   -0.002252&lt;br /&gt;
    2          1             0        2.630204    1.517782    0.552397&lt;br /&gt;
    3          1             0        3.780066    0.546886   -0.479712&lt;br /&gt;
    4          6             0        1.929622   -0.346726   -0.088373&lt;br /&gt;
    5          1             0        2.156765   -1.234644   -0.654069&lt;br /&gt;
    6          6             0        0.558144   -0.308645    0.539457&lt;br /&gt;
    7          1             0        0.451603    0.575342    1.157069&lt;br /&gt;
    8          1             0        0.425775   -1.176778    1.179877&lt;br /&gt;
    9          6             0       -0.558191   -0.308946   -0.539412&lt;br /&gt;
   10          1             0       -0.425806   -1.177411   -1.179380&lt;br /&gt;
   11          1             0       -0.451629    0.574722   -1.157477&lt;br /&gt;
   12          6             0       -1.929659   -0.346725    0.088486&lt;br /&gt;
   13          1             0       -2.156900   -1.234497    0.654378&lt;br /&gt;
   14          6             0       -2.821227    0.617546    0.002135&lt;br /&gt;
   15          1             0       -2.630049    1.517678   -0.552817&lt;br /&gt;
   16          1             0       -3.780041    0.547140    0.479486&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     12.4136966      1.4220543      1.3775205&lt;br /&gt;
 Standard basis: 3-21G (6D, 7F)&lt;br /&gt;
 There are    74 symmetry adapted basis functions of A   symmetry.&lt;br /&gt;
 Integral buffers will be    262144 words long.&lt;br /&gt;
 Raffenetti 1 integral format.&lt;br /&gt;
 Two-electron integral symmetry is turned on.&lt;br /&gt;
    74 basis functions,   120 primitive gaussians,    74 cartesian basis functions&lt;br /&gt;
    23 alpha electrons       23 beta electrons&lt;br /&gt;
       nuclear repulsion energy       213.2955176048 Hartrees.&lt;br /&gt;
 NAtoms=   16 NActive=   16 NUniq=   16 SFac= 7.50D-01 NAtFMM=   80 NAOKFM=F Big=F&lt;br /&gt;
 One-electron integrals computed using PRISM.&lt;br /&gt;
 NBasis=    74 RedAO= T  NBF=    74&lt;br /&gt;
 NBsUse=    74 1.00D-06 NBFU=    74&lt;br /&gt;
 Initial guess read from the read-write file:&lt;br /&gt;
 Initial guess orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 Requested convergence on RMS density matrix=1.00D-08 within 128 cycles.&lt;br /&gt;
 Requested convergence on MAX density matrix=1.00D-06.&lt;br /&gt;
 Requested convergence on             energy=1.00D-06.&lt;br /&gt;
 No special actions if energy rises.&lt;br /&gt;
 Keep R1 integrals in memory in canonical form, NReq=     4895564.&lt;br /&gt;
 SCF Done:  E(RHF) =  -231.692602370     A.U. after    8 cycles&lt;br /&gt;
             Convg  =    0.4126D-08             -V/T =  2.0018&lt;br /&gt;
             S**2   =   0.0000&lt;br /&gt;
 ***** Axes restored to original set *****&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic                   Forces (Hartrees/Bohr)&lt;br /&gt;
 Number     Number              X              Y              Z&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
    1          6          -0.000008831   -0.000010282   -0.000004651&lt;br /&gt;
    2          1          -0.000002499    0.000001436   -0.000000926&lt;br /&gt;
    3          1          -0.000000224   -0.000003924    0.000004683&lt;br /&gt;
    4          6           0.000009362    0.000009306   -0.000012421&lt;br /&gt;
    5          1           0.000003380    0.000001843   -0.000000072&lt;br /&gt;
    6          6          -0.000003976   -0.000003501    0.000007215&lt;br /&gt;
    7          1          -0.000006383   -0.000000765    0.000000339&lt;br /&gt;
    8          1          -0.000001633    0.000001601    0.000000987&lt;br /&gt;
    9          6           0.000009803    0.000002638    0.000004185&lt;br /&gt;
   10          1           0.000000310    0.000002015    0.000000669&lt;br /&gt;
   11          1          -0.000001519   -0.000000965   -0.000001053&lt;br /&gt;
   12          6           0.000001555    0.000007092    0.000002423&lt;br /&gt;
   13          1          -0.000001754    0.000005628    0.000000589&lt;br /&gt;
   14          6          -0.000001322   -0.000010906   -0.000017652&lt;br /&gt;
   15          1           0.000003821   -0.000002217    0.000009407&lt;br /&gt;
   16          1          -0.000000090    0.000001002    0.000006279&lt;br /&gt;
 -------------------------------------------------------------------&lt;br /&gt;
 Cartesian Forces:  Max     0.000017652 RMS     0.000005640&lt;br /&gt;
&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
 Berny optimization.&lt;br /&gt;
 Internal  Forces:  Max     0.000017217 RMS     0.000004161&lt;br /&gt;
 Search for a local minimum.&lt;br /&gt;
 Step number  17 out of a maximum of  78&lt;br /&gt;
 All quantities printed in internal units (Hartrees-Bohrs-Radians)&lt;br /&gt;
 Update second derivatives using D2CorX and points 12 13 14 15 16&lt;br /&gt;
                                                       17&lt;br /&gt;
 Trust test= 9.07D-01 RLast= 3.19D-03 DXMaxT set to 1.00D+00&lt;br /&gt;
     Eigenvalues ---    0.00145   0.00221   0.00239   0.01516   0.01712&lt;br /&gt;
     Eigenvalues ---    0.02706   0.02959   0.03786   0.03990   0.04306&lt;br /&gt;
     Eigenvalues ---    0.04695   0.05293   0.05394   0.08481   0.09098&lt;br /&gt;
     Eigenvalues ---    0.12596   0.12662   0.13151   0.14258   0.15910&lt;br /&gt;
     Eigenvalues ---    0.15987   0.16048   0.16251   0.19483   0.20724&lt;br /&gt;
     Eigenvalues ---    0.21773   0.24797   0.27338   0.29163   0.32693&lt;br /&gt;
     Eigenvalues ---    0.36567   0.36809   0.37178   0.37227   0.37230&lt;br /&gt;
     Eigenvalues ---    0.37240   0.37261   0.37276   0.37322   0.37891&lt;br /&gt;
     Eigenvalues ---    0.53925   0.633881000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.000001000.000001000.00000&lt;br /&gt;
     Eigenvalues --- 1000.000001000.000001000.00000&lt;br /&gt;
 RFO step:  Lambda= 0.00000000D+00.&lt;br /&gt;
 Quartic linear search produced a step of -0.08481.&lt;br /&gt;
 Iteration  1 RMS(Cart)=  0.00017554 RMS(Int)=  0.00000002&lt;br /&gt;
 Iteration  2 RMS(Cart)=  0.00000002 RMS(Int)=  0.00000000&lt;br /&gt;
 Variable       Old X    -DE/DX   Delta X   Delta X   Delta X     New X&lt;br /&gt;
                                 (Linear)    (Quad)   (Total)&lt;br /&gt;
    R1        2.03068   0.00000   0.00000   0.00000   0.00000   2.03068&lt;br /&gt;
    R2        2.02841   0.00000   0.00000   0.00000   0.00000   2.02840&lt;br /&gt;
    R3        2.48711  -0.00002   0.00000  -0.00002  -0.00003   2.48709&lt;br /&gt;
    R4        2.03530   0.00000   0.00000   0.00000   0.00000   2.03530&lt;br /&gt;
    R5        2.85128   0.00001   0.00000   0.00003   0.00002   2.85130&lt;br /&gt;
    R6        2.04774   0.00000   0.00000   0.00000   0.00000   2.04774&lt;br /&gt;
    R7        2.05391   0.00000   0.00000   0.00000   0.00000   2.05391&lt;br /&gt;
    R8        2.93374  -0.00001   0.00000  -0.00003  -0.00003   2.93371&lt;br /&gt;
    R9        2.05391   0.00000   0.00000  -0.00001  -0.00001   2.05390&lt;br /&gt;
   R10        2.04774   0.00000   0.00000   0.00000   0.00000   2.04774&lt;br /&gt;
   R11        2.85130   0.00000   0.00001  -0.00004  -0.00002   2.85128&lt;br /&gt;
   R12        2.03531   0.00000   0.00000  -0.00001  -0.00001   2.03530&lt;br /&gt;
   R13        2.48710  -0.00001  -0.00001  -0.00001  -0.00001   2.48709&lt;br /&gt;
   R14        2.03069  -0.00001   0.00000  -0.00001  -0.00001   2.03068&lt;br /&gt;
   R15        2.02840   0.00000   0.00000   0.00001   0.00001   2.02840&lt;br /&gt;
    A1        2.03033   0.00000   0.00000   0.00001   0.00001   2.03034&lt;br /&gt;
    A2        2.12595   0.00000   0.00000  -0.00001  -0.00001   2.12594&lt;br /&gt;
    A3        2.12690   0.00000   0.00000   0.00000  -0.00001   2.12690&lt;br /&gt;
    A4        2.08914   0.00000   0.00000  -0.00002  -0.00002   2.08912&lt;br /&gt;
    A5        2.17745   0.00000  -0.00001   0.00000  -0.00001   2.17744&lt;br /&gt;
    A6        2.01646   0.00001   0.00001   0.00002   0.00003   2.01649&lt;br /&gt;
    A7        1.92529   0.00001   0.00000   0.00005   0.00005   1.92534&lt;br /&gt;
    A8        1.91317   0.00000   0.00000   0.00003   0.00003   1.91320&lt;br /&gt;
    A9        1.94383  -0.00001  -0.00001  -0.00003  -0.00004   1.94379&lt;br /&gt;
   A10        1.87946   0.00000   0.00000  -0.00002  -0.00002   1.87944&lt;br /&gt;
   A11        1.90238   0.00000   0.00001  -0.00005  -0.00004   1.90234&lt;br /&gt;
   A12        1.89837   0.00000   0.00000   0.00001   0.00002   1.89839&lt;br /&gt;
   A13        1.89838   0.00000   0.00000   0.00001   0.00000   1.89839&lt;br /&gt;
   A14        1.90234   0.00000   0.00000   0.00004   0.00003   1.90237&lt;br /&gt;
   A15        1.94380   0.00000   0.00000  -0.00001  -0.00001   1.94379&lt;br /&gt;
   A16        1.87946   0.00000   0.00000  -0.00001  -0.00001   1.87945&lt;br /&gt;
   A17        1.91318   0.00000   0.00000   0.00000   0.00000   1.91318&lt;br /&gt;
   A18        1.92534   0.00000   0.00001  -0.00003  -0.00002   1.92532&lt;br /&gt;
   A19        2.01647   0.00000   0.00001   0.00001   0.00001   2.01648&lt;br /&gt;
   A20        2.17742   0.00000   0.00000   0.00001   0.00001   2.17743&lt;br /&gt;
   A21        2.08916  -0.00001  -0.00001  -0.00002  -0.00002   2.08913&lt;br /&gt;
   A22        2.12595   0.00000   0.00000  -0.00001  -0.00001   2.12594&lt;br /&gt;
   A23        2.12690   0.00000   0.00000  -0.00001   0.00000   2.12690&lt;br /&gt;
   A24        2.03032   0.00000   0.00000   0.00001   0.00001   2.03034&lt;br /&gt;
    D1        3.14091   0.00000   0.00008  -0.00014  -0.00006   3.14085&lt;br /&gt;
    D2        0.01802   0.00000   0.00003  -0.00019  -0.00016   0.01787&lt;br /&gt;
    D3       -0.00357   0.00000  -0.00002  -0.00004  -0.00006  -0.00363&lt;br /&gt;
    D4       -3.12646  -0.00001  -0.00007  -0.00009  -0.00016  -3.12662&lt;br /&gt;
    D5       -0.10529   0.00000   0.00009  -0.00033  -0.00024  -0.10552&lt;br /&gt;
    D6       -2.17196   0.00000   0.00009  -0.00036  -0.00026  -2.17222&lt;br /&gt;
    D7        2.00957   0.00000   0.00010  -0.00038  -0.00028   2.00929&lt;br /&gt;
    D8        3.05431   0.00000   0.00005  -0.00038  -0.00033   3.05398&lt;br /&gt;
    D9        0.98764   0.00000   0.00005  -0.00041  -0.00036   0.98728&lt;br /&gt;
   D10       -1.11402   0.00000   0.00006  -0.00043  -0.00037  -1.11439&lt;br /&gt;
   D11        0.97724   0.00000   0.00000   0.00002   0.00002   0.97726&lt;br /&gt;
   D12       -1.06740   0.00000   0.00001   0.00000   0.00001  -1.06739&lt;br /&gt;
   D13        3.08760   0.00000   0.00000   0.00002   0.00002   3.08761&lt;br /&gt;
   D14        3.10543   0.00000   0.00000   0.00003   0.00003   3.10545&lt;br /&gt;
   D15        1.06078   0.00000   0.00001   0.00001   0.00002   1.06080&lt;br /&gt;
   D16       -1.06741   0.00000   0.00000   0.00003   0.00002  -1.06738&lt;br /&gt;
   D17       -1.13310   0.00000   0.00001  -0.00001   0.00000  -1.13311&lt;br /&gt;
   D18        3.10544   0.00000   0.00002  -0.00003  -0.00001   3.10543&lt;br /&gt;
   D19        0.97725   0.00000   0.00000  -0.00001  -0.00001   0.97724&lt;br /&gt;
   D20       -1.11438   0.00000   0.00007  -0.00004   0.00003  -1.11435&lt;br /&gt;
   D21        2.00926   0.00000   0.00003  -0.00002   0.00000   2.00927&lt;br /&gt;
   D22        0.98729   0.00000   0.00006  -0.00004   0.00003   0.98731&lt;br /&gt;
   D23       -2.17226   0.00000   0.00002  -0.00002   0.00000  -2.17226&lt;br /&gt;
   D24        3.05399   0.00000   0.00006  -0.00006   0.00001   3.05400&lt;br /&gt;
   D25       -0.10555   0.00000   0.00003  -0.00004  -0.00002  -0.10557&lt;br /&gt;
   D26        0.01810  -0.00001  -0.00004  -0.00013  -0.00017   0.01793&lt;br /&gt;
   D27       -3.12666   0.00001   0.00003   0.00014   0.00017  -3.12649&lt;br /&gt;
   D28        3.14104  -0.00001  -0.00008  -0.00011  -0.00020   3.14084&lt;br /&gt;
   D29       -0.00372   0.00000  -0.00001   0.00015   0.00014  -0.00357&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000017     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000724     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000176     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.200818D-09&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
                           ----------------------------&lt;br /&gt;
                           !   Optimized Parameters   !&lt;br /&gt;
                           ! (Angstroms and Degrees)  !&lt;br /&gt;
 --------------------------                            --------------------------&lt;br /&gt;
 ! Name  Definition              Value          Derivative Info.                !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 ! R1    R(1,2)                  1.0746         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R2    R(1,3)                  1.0734         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R3    R(1,4)                  1.3161         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R4    R(4,5)                  1.077          -DE/DX =    0.0                 !&lt;br /&gt;
 ! R5    R(4,6)                  1.5088         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R6    R(6,7)                  1.0836         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R7    R(6,8)                  1.0869         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R8    R(6,9)                  1.5525         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R9    R(9,10)                 1.0869         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R10   R(9,11)                 1.0836         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R11   R(9,12)                 1.5088         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R12   R(12,13)                1.077          -DE/DX =    0.0                 !&lt;br /&gt;
 ! R13   R(12,14)                1.3161         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R14   R(14,15)                1.0746         -DE/DX =    0.0                 !&lt;br /&gt;
 ! R15   R(14,16)                1.0734         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A1    A(2,1,3)              116.3293         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A2    A(2,1,4)              121.8079         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A3    A(3,1,4)              121.8626         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A4    A(1,4,5)              119.6988         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A5    A(1,4,6)              124.7586         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A6    A(5,4,6)              115.5347         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A7    A(4,6,7)              110.3111         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A8    A(4,6,8)              109.6164         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A9    A(4,6,9)              111.3731         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A10   A(7,6,8)              107.6849         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A11   A(7,6,9)              108.9984         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A12   A(8,6,9)              108.7686         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A13   A(6,9,10)             108.7692         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A14   A(6,9,11)             108.996          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A15   A(6,9,12)             111.3713         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A16   A(10,9,11)            107.685          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A17   A(10,9,12)            109.6173         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A18   A(11,9,12)            110.3137         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A19   A(9,12,13)            115.5351         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A20   A(9,12,14)            124.757          -DE/DX =    0.0                 !&lt;br /&gt;
 ! A21   A(13,12,14)           119.7            -DE/DX =    0.0                 !&lt;br /&gt;
 ! A22   A(12,14,15)           121.8082         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A23   A(12,14,16)           121.8625         -DE/DX =    0.0                 !&lt;br /&gt;
 ! A24   A(15,14,16)           116.329          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D1    D(2,1,4,5)            179.961          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D2    D(2,1,4,6)              1.0327         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D3    D(3,1,4,5)             -0.2045         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D4    D(3,1,4,6)           -179.1328         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D5    D(1,4,6,7)             -6.0325         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D6    D(1,4,6,8)           -124.4439         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D7    D(1,4,6,9)            115.1399         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D8    D(5,4,6,7)            174.9992         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D9    D(5,4,6,8)             56.5878         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D10   D(5,4,6,9)            -63.8284         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D11   D(4,6,9,10)            55.9919         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D12   D(4,6,9,11)           -61.1574         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D13   D(4,6,9,12)           176.9063         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D14   D(7,6,9,10)           177.9277         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D15   D(7,6,9,11)            60.7785         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D16   D(7,6,9,12)           -61.1579         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D17   D(8,6,9,10)           -64.9221         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D18   D(8,6,9,11)           177.9287         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D19   D(8,6,9,12)            55.9923         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D20   D(6,9,12,13)          -63.8491         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D21   D(6,9,12,14)          115.1223         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D22   D(10,9,12,13)          56.5674         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D23   D(10,9,12,14)        -124.4613         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D24   D(11,9,12,13)         174.981          -DE/DX =    0.0                 !&lt;br /&gt;
 ! D25   D(11,9,12,14)          -6.0476         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D26   D(9,12,14,15)           1.0369         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D27   D(9,12,14,16)        -179.1445         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D28   D(13,12,14,15)        179.9684         -DE/DX =    0.0                 !&lt;br /&gt;
 ! D29   D(13,12,14,16)         -0.2131         -DE/DX =    0.0                 !&lt;br /&gt;
 --------------------------------------------------------------------------------&lt;br /&gt;
 GradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGradGrad&lt;br /&gt;
&lt;br /&gt;
                          Input orientation:                          &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0       -0.273574    0.588091   -0.254442&lt;br /&gt;
    2          1             0       -0.494414    1.485932    0.293145&lt;br /&gt;
    3          1             0        0.710538    0.518248   -0.677294&lt;br /&gt;
    4          6             0       -1.160384   -0.374076   -0.395799&lt;br /&gt;
    5          1             0       -0.902924   -1.259520   -0.952314&lt;br /&gt;
    6          6             0       -2.565109   -0.336760    0.153680&lt;br /&gt;
    7          1             0       -2.705101    0.544277    0.768825&lt;br /&gt;
    8          1             0       -2.734752   -1.207888    0.781114&lt;br /&gt;
    9          6             0       -3.618656   -0.329642   -0.986561&lt;br /&gt;
   10          1             0       -3.451575   -1.195090   -1.622484&lt;br /&gt;
   11          1             0       -3.476020    0.556953   -1.593055&lt;br /&gt;
   12          6             0       -5.023487   -0.368185   -0.437404&lt;br /&gt;
   13          1             0       -5.283665   -1.258407    0.110158&lt;br /&gt;
   14          6             0       -5.907328    0.598077   -0.569054&lt;br /&gt;
   15          1             0       -5.683756    1.500667   -1.107668&lt;br /&gt;
   16          1             0       -6.891701    0.526944   -0.147040&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
                    Distance matrix (angstroms):&lt;br /&gt;
                    1          2          3          4          5&lt;br /&gt;
     1  C    0.000000&lt;br /&gt;
     2  H    1.074588   0.000000&lt;br /&gt;
     3  H    1.073386   1.824848   0.000000&lt;br /&gt;
     4  C    1.316124   2.092317   2.091849   0.000000&lt;br /&gt;
     5  H    2.072867   3.042294   2.416476   1.077036   0.000000&lt;br /&gt;
     6  C    2.504606   2.762143   3.485889   1.508831   2.199448&lt;br /&gt;
     7  H    2.638431   2.449515   3.709248   2.141464   3.076337&lt;br /&gt;
     8  H    3.217968   3.537498   4.120258   2.135181   2.522506&lt;br /&gt;
     9  C    3.545111   3.833385   4.422271   2.528650   2.870723&lt;br /&gt;
    10  H    3.892425   4.427450   4.599141   2.725505   2.636077&lt;br /&gt;
    11  H    3.471098   3.648387   4.285719   2.768105   3.214179&lt;br /&gt;
    12  C    4.848671   4.948126   5.807095   3.863331   4.247193&lt;br /&gt;
    13  H    5.351963   5.522844   6.301353   4.247291   4.507743&lt;br /&gt;
    14  C    5.642541   5.552595   6.619232   4.848564   5.351786&lt;br /&gt;
    15  H    5.552554   5.375106   6.483622   4.947960   5.522601&lt;br /&gt;
    16  H    6.619281   6.483726   7.620714   5.807040   6.301220&lt;br /&gt;
                    6          7          8          9         10&lt;br /&gt;
     6  C    0.000000&lt;br /&gt;
     7  H    1.083618   0.000000&lt;br /&gt;
     8  H    1.086883   1.752459   0.000000&lt;br /&gt;
     9  C    1.552470   2.163261   2.162701   0.000000&lt;br /&gt;
    10  H    2.162709   3.049751   2.508243   1.086883   0.000000&lt;br /&gt;
    11  H    2.163231   2.484543   3.049724   1.083619   1.752461&lt;br /&gt;
    12  C    2.528634   2.768120   2.725471   1.508844   2.135204&lt;br /&gt;
    13  H    2.870866   3.214422   2.636227   2.199466   2.522422&lt;br /&gt;
    14  C    3.544953   3.470889   3.892261   2.504595   3.218056&lt;br /&gt;
    15  H    3.833157   3.648053   4.427232   2.762125   3.537623&lt;br /&gt;
    16  H    4.422196   4.285642   4.599058   3.485880   4.120292&lt;br /&gt;
                   11         12         13         14         15&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    2.141509   0.000000&lt;br /&gt;
    13  H    3.076369   1.077039   0.000000&lt;br /&gt;
    14  C    2.638471   1.316119   2.072876   0.000000&lt;br /&gt;
    15  H    2.449550   2.092323   3.042312   1.074597   0.000000&lt;br /&gt;
    16  H    3.709277   2.091839   2.416487   1.073381   1.824849&lt;br /&gt;
                   16&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Stoichiometry    C6H10&lt;br /&gt;
 Framework group  C1[X(C6H10)]&lt;br /&gt;
 Deg. of freedom    42&lt;br /&gt;
 Full point group                 C1&lt;br /&gt;
 Largest Abelian subgroup         C1      NOp   1&lt;br /&gt;
 Largest concise Abelian subgroup C1      NOp   1&lt;br /&gt;
                         Standard orientation:                         &lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Center     Atomic     Atomic              Coordinates (Angstroms)&lt;br /&gt;
 Number     Number      Type              X           Y           Z&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
    1          6             0        2.821312    0.617459   -0.002252&lt;br /&gt;
    2          1             0        2.630204    1.517782    0.552397&lt;br /&gt;
    3          1             0        3.780066    0.546886   -0.479712&lt;br /&gt;
    4          6             0        1.929622   -0.346726   -0.088373&lt;br /&gt;
    5          1             0        2.156765   -1.234644   -0.654069&lt;br /&gt;
    6          6             0        0.558144   -0.308645    0.539457&lt;br /&gt;
    7          1             0        0.451603    0.575342    1.157069&lt;br /&gt;
    8          1             0        0.425775   -1.176778    1.179877&lt;br /&gt;
    9          6             0       -0.558191   -0.308946   -0.539412&lt;br /&gt;
   10          1             0       -0.425806   -1.177411   -1.179380&lt;br /&gt;
   11          1             0       -0.451629    0.574722   -1.157477&lt;br /&gt;
   12          6             0       -1.929659   -0.346725    0.088486&lt;br /&gt;
   13          1             0       -2.156900   -1.234497    0.654378&lt;br /&gt;
   14          6             0       -2.821227    0.617546    0.002135&lt;br /&gt;
   15          1             0       -2.630049    1.517678   -0.552817&lt;br /&gt;
   16          1             0       -3.780041    0.547140    0.479486&lt;br /&gt;
 ---------------------------------------------------------------------&lt;br /&gt;
 Rotational constants (GHZ):     12.4136966      1.4220543      1.3775205&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
            Population analysis using the SCF density.&lt;br /&gt;
&lt;br /&gt;
 **********************************************************************&lt;br /&gt;
&lt;br /&gt;
 Orbital symmetries:&lt;br /&gt;
       Occupied  (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
       Virtual   (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A) (A)&lt;br /&gt;
                 (A) (A) (A)&lt;br /&gt;
 The electronic state is 1-A.&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.17263 -11.17240 -11.16818 -11.16797 -11.15763&lt;br /&gt;
 Alpha  occ. eigenvalues --  -11.15762  -1.09901  -1.05385  -0.97651  -0.86591&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.75996  -0.75535  -0.66086  -0.63385  -0.60301&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.59555  -0.54875  -0.51608  -0.50737  -0.48284&lt;br /&gt;
 Alpha  occ. eigenvalues --   -0.46333  -0.37325  -0.35180&lt;br /&gt;
 Alpha virt. eigenvalues --    0.18367   0.19669   0.27886   0.29810   0.30483&lt;br /&gt;
 Alpha virt. eigenvalues --    0.30702   0.33670   0.35885   0.36286   0.36851&lt;br /&gt;
 Alpha virt. eigenvalues --    0.38329   0.39351   0.43974   0.51375   0.52702&lt;br /&gt;
 Alpha virt. eigenvalues --    0.60496   0.60504   0.86230   0.89316   0.93989&lt;br /&gt;
 Alpha virt. eigenvalues --    0.94997   0.97508   0.99923   1.01453   1.02000&lt;br /&gt;
 Alpha virt. eigenvalues --    1.08621   1.10570   1.12083   1.12152   1.12706&lt;br /&gt;
 Alpha virt. eigenvalues --    1.16559   1.19381   1.28794   1.31662   1.34270&lt;br /&gt;
 Alpha virt. eigenvalues --    1.36629   1.38630   1.39102   1.41123   1.41351&lt;br /&gt;
 Alpha virt. eigenvalues --    1.45482   1.47148   1.62023   1.64191   1.73402&lt;br /&gt;
 Alpha virt. eigenvalues --    1.73432   1.79838   1.99834   2.14840   2.23389&lt;br /&gt;
 Alpha virt. eigenvalues --    2.53133&lt;br /&gt;
          Condensed to atoms (all electrons):&lt;br /&gt;
              1          2          3          4          5          6&lt;br /&gt;
     1  C    5.194353   0.399767   0.396080   0.545300  -0.040747  -0.079761&lt;br /&gt;
     2  H    0.399767   0.468203  -0.021615  -0.054731   0.002314  -0.001869&lt;br /&gt;
     3  H    0.396080  -0.021615   0.466462  -0.051323  -0.002133   0.002631&lt;br /&gt;
     4  C    0.545300  -0.054731  -0.051323   5.269478   0.397883   0.272563&lt;br /&gt;
     5  H   -0.040747   0.002314  -0.002133   0.397883   0.460080  -0.040300&lt;br /&gt;
     6  C   -0.079761  -0.001869   0.002631   0.272563  -0.040300   5.464862&lt;br /&gt;
     7  H    0.001736   0.002200   0.000057  -0.047381   0.002134   0.389215&lt;br /&gt;
     8  H    0.000965   0.000058  -0.000062  -0.048108  -0.000487   0.385494&lt;br /&gt;
     9  C    0.000819   0.000054  -0.000068  -0.081843  -0.000070   0.233699&lt;br /&gt;
    10  H    0.000192   0.000004   0.000000   0.000340   0.001577  -0.050088&lt;br /&gt;
    11  H    0.000842   0.000054  -0.000009   0.000414   0.000191  -0.042666&lt;br /&gt;
    12  C   -0.000035  -0.000002   0.000001   0.004569  -0.000063  -0.081850&lt;br /&gt;
    13  H    0.000000   0.000000   0.000000  -0.000063   0.000002  -0.000069&lt;br /&gt;
    14  C    0.000000   0.000000   0.000000  -0.000035   0.000000   0.000819&lt;br /&gt;
    15  H    0.000000   0.000000   0.000000  -0.000002   0.000000   0.000055&lt;br /&gt;
    16  H    0.000000   0.000000   0.000000   0.000001   0.000000  -0.000068&lt;br /&gt;
              7          8          9         10         11         12&lt;br /&gt;
     1  C    0.001736   0.000965   0.000819   0.000192   0.000842  -0.000035&lt;br /&gt;
     2  H    0.002200   0.000058   0.000054   0.000004   0.000054  -0.000002&lt;br /&gt;
     3  H    0.000057  -0.000062  -0.000068   0.000000  -0.000009   0.000001&lt;br /&gt;
     4  C   -0.047381  -0.048108  -0.081843   0.000340   0.000414   0.004569&lt;br /&gt;
     5  H    0.002134  -0.000487  -0.000070   0.001577   0.000191  -0.000063&lt;br /&gt;
     6  C    0.389215   0.385494   0.233699  -0.050088  -0.042666  -0.081850&lt;br /&gt;
     7  H    0.488034  -0.022513  -0.042660   0.003074  -0.001120   0.000413&lt;br /&gt;
     8  H   -0.022513   0.512178  -0.050090  -0.000965   0.003074   0.000340&lt;br /&gt;
     9  C   -0.042660  -0.050090   5.464844   0.385496   0.389213   0.272580&lt;br /&gt;
    10  H    0.003074  -0.000965   0.385496   0.512172  -0.022513  -0.048103&lt;br /&gt;
    11  H   -0.001120   0.003074   0.389213  -0.022513   0.488034  -0.047374&lt;br /&gt;
    12  C    0.000413   0.000340   0.272580  -0.048103  -0.047374   5.269473&lt;br /&gt;
    13  H    0.000191   0.001576  -0.040297  -0.000488   0.002134   0.397885&lt;br /&gt;
    14  C    0.000843   0.000192  -0.079768   0.000966   0.001736   0.545291&lt;br /&gt;
    15  H    0.000054   0.000004  -0.001869   0.000058   0.002199  -0.054730&lt;br /&gt;
    16  H   -0.000009   0.000000   0.002631  -0.000062   0.000057  -0.051324&lt;br /&gt;
             13         14         15         16&lt;br /&gt;
     1  C    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     2  H    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     3  H    0.000000   0.000000   0.000000   0.000000&lt;br /&gt;
     4  C   -0.000063  -0.000035  -0.000002   0.000001&lt;br /&gt;
     5  H    0.000002   0.000000   0.000000   0.000000&lt;br /&gt;
     6  C   -0.000069   0.000819   0.000055  -0.000068&lt;br /&gt;
     7  H    0.000191   0.000843   0.000054  -0.000009&lt;br /&gt;
     8  H    0.001576   0.000192   0.000004   0.000000&lt;br /&gt;
     9  C   -0.040297  -0.079768  -0.001869   0.002631&lt;br /&gt;
    10  H   -0.000488   0.000966   0.000058  -0.000062&lt;br /&gt;
    11  H    0.002134   0.001736   0.002199   0.000057&lt;br /&gt;
    12  C    0.397885   0.545291  -0.054730  -0.051324&lt;br /&gt;
    13  H    0.460071  -0.040746   0.002313  -0.002132&lt;br /&gt;
    14  C   -0.040746   5.194359   0.399768   0.396080&lt;br /&gt;
    15  H    0.002313   0.399768   0.468202  -0.021615&lt;br /&gt;
    16  H   -0.002132   0.396080  -0.021615   0.466461&lt;br /&gt;
 Mulliken atomic charges:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.419512&lt;br /&gt;
     2  H    0.205563&lt;br /&gt;
     3  H    0.209980&lt;br /&gt;
     4  C   -0.207061&lt;br /&gt;
     5  H    0.219619&lt;br /&gt;
     6  C   -0.452665&lt;br /&gt;
     7  H    0.225732&lt;br /&gt;
     8  H    0.218345&lt;br /&gt;
     9  C   -0.452671&lt;br /&gt;
    10  H    0.218341&lt;br /&gt;
    11  H    0.225733&lt;br /&gt;
    12  C   -0.207069&lt;br /&gt;
    13  H    0.219624&lt;br /&gt;
    14  C   -0.419504&lt;br /&gt;
    15  H    0.205564&lt;br /&gt;
    16  H    0.209981&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Atomic charges with hydrogens summed into heavy atoms:&lt;br /&gt;
              1&lt;br /&gt;
     1  C   -0.003968&lt;br /&gt;
     2  H    0.000000&lt;br /&gt;
     3  H    0.000000&lt;br /&gt;
     4  C    0.012558&lt;br /&gt;
     5  H    0.000000&lt;br /&gt;
     6  C   -0.008588&lt;br /&gt;
     7  H    0.000000&lt;br /&gt;
     8  H    0.000000&lt;br /&gt;
     9  C   -0.008597&lt;br /&gt;
    10  H    0.000000&lt;br /&gt;
    11  H    0.000000&lt;br /&gt;
    12  C    0.012555&lt;br /&gt;
    13  H    0.000000&lt;br /&gt;
    14  C   -0.003960&lt;br /&gt;
    15  H    0.000000&lt;br /&gt;
    16  H    0.000000&lt;br /&gt;
 Sum of Mulliken charges=   0.00000&lt;br /&gt;
 Electronic spatial extent (au):  &amp;lt;R**2&amp;gt;=   894.9458&lt;br /&gt;
 Charge=     0.0000 electrons&lt;br /&gt;
 Dipole moment (field-independent basis, Debye):&lt;br /&gt;
    X=    -0.0002    Y=    -0.2022    Z=    -0.0002  Tot=     0.2022&lt;br /&gt;
 Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=   -39.1936   YY=   -37.1307   ZZ=   -40.7047&lt;br /&gt;
   XY=     0.0001   XZ=    -1.8697   YZ=    -0.0006&lt;br /&gt;
 Traceless Quadrupole moment (field-independent basis, Debye-Ang):&lt;br /&gt;
   XX=    -0.1840   YY=     1.8790   ZZ=    -1.6950&lt;br /&gt;
   XY=     0.0001   XZ=    -1.8697   YZ=    -0.0006&lt;br /&gt;
 Octapole moment (field-independent basis, Debye-Ang**2):&lt;br /&gt;
  XXX=    -0.0027  YYY=    -0.0824  ZZZ=    -0.0002  XYY=     0.0010&lt;br /&gt;
  XXY=     4.8086  XXZ=    -0.0021  XZZ=    -0.0011  YZZ=    -0.7233&lt;br /&gt;
  YYZ=    -0.0004  XYZ=     5.0218&lt;br /&gt;
 Hexadecapole moment (field-independent basis, Debye-Ang**3):&lt;br /&gt;
 XXXX=  -986.2916 YYYY=  -120.6539 ZZZZ=   -94.9189 XXXY=    -0.0032&lt;br /&gt;
 XXXZ=   -41.5793 YYYX=     0.0023 YYYZ=     0.0003 ZZZX=    -1.2345&lt;br /&gt;
 ZZZY=    -0.0028 XXYY=  -185.2465 XXZZ=  -198.7030 YYZZ=   -33.6475&lt;br /&gt;
 XXYZ=    -0.0032 YYXZ=     1.9403 ZZXY=    -0.0005&lt;br /&gt;
 N-N= 2.132955176048D+02 E-N=-9.647715700862D+02  KE= 2.312827530179D+02&lt;br /&gt;
 Final structure in terms of initial Z-matrix:&lt;br /&gt;
 C&lt;br /&gt;
 H,1,B1&lt;br /&gt;
 H,1,B2,2,A1&lt;br /&gt;
 C,1,B3,3,A2,2,D1,0&lt;br /&gt;
 H,4,B4,1,A3,3,D2,0&lt;br /&gt;
 C,4,B5,1,A4,3,D3,0&lt;br /&gt;
 H,6,B6,4,A5,1,D4,0&lt;br /&gt;
 H,6,B7,4,A6,1,D5,0&lt;br /&gt;
 C,6,B8,4,A7,1,D6,0&lt;br /&gt;
 H,9,B9,6,A8,4,D7,0&lt;br /&gt;
 H,9,B10,6,A9,4,D8,0&lt;br /&gt;
 C,9,B11,6,A10,4,D9,0&lt;br /&gt;
 H,12,B12,9,A11,6,D10,0&lt;br /&gt;
 C,12,B13,9,A12,6,D11,0&lt;br /&gt;
 H,14,B14,12,A13,9,D12,0&lt;br /&gt;
 H,14,B15,12,A14,9,D13,0&lt;br /&gt;
      Variables:&lt;br /&gt;
 B1=1.07458773&lt;br /&gt;
 B2=1.07338586&lt;br /&gt;
 B3=1.31612387&lt;br /&gt;
 B4=1.07703584&lt;br /&gt;
 B5=1.50883105&lt;br /&gt;
 B6=1.08361789&lt;br /&gt;
 B7=1.08688299&lt;br /&gt;
 B8=1.55246957&lt;br /&gt;
 B9=1.086883&lt;br /&gt;
 B10=1.08361908&lt;br /&gt;
 B11=1.50884362&lt;br /&gt;
 B12=1.07703857&lt;br /&gt;
 B13=1.31611869&lt;br /&gt;
 B14=1.07459688&lt;br /&gt;
 B15=1.07338062&lt;br /&gt;
 A1=116.329265&lt;br /&gt;
 A2=121.86262446&lt;br /&gt;
 A3=119.69883219&lt;br /&gt;
 A4=124.7585608&lt;br /&gt;
 A5=110.31109997&lt;br /&gt;
 A6=109.61639979&lt;br /&gt;
 A7=111.37313839&lt;br /&gt;
 A8=108.76921979&lt;br /&gt;
 A9=108.99598608&lt;br /&gt;
 A10=111.37133562&lt;br /&gt;
 A11=115.53514921&lt;br /&gt;
 A12=124.75698661&lt;br /&gt;
 A13=121.80822206&lt;br /&gt;
 A14=121.86252892&lt;br /&gt;
 D1=-179.84307011&lt;br /&gt;
 D2=-0.2045458&lt;br /&gt;
 D3=-179.13280628&lt;br /&gt;
 D4=-6.03248086&lt;br /&gt;
 D5=-124.44388212&lt;br /&gt;
 D6=115.13987684&lt;br /&gt;
 D7=55.99190299&lt;br /&gt;
 D8=-61.15738052&lt;br /&gt;
 D9=176.90626208&lt;br /&gt;
 D10=-63.84908549&lt;br /&gt;
 D11=115.12225091&lt;br /&gt;
 D12=1.03693709&lt;br /&gt;
 D13=-179.14450924&lt;br /&gt;
 1|1|UNPC-UNK|FOpt|RHF|3-21G|C6H10|PCUSER|18-Mar-2010|0||# opt hf/3-21g&lt;br /&gt;
  geom=connectivity||Antifirst||0,1|C,-0.2735736123,0.5880914214,-0.254&lt;br /&gt;
 4420087|H,-0.4944137777,1.4859317231,0.2931447091|H,0.7105377727,0.518&lt;br /&gt;
 2484847,-0.6772941802|C,-1.1603844905,-0.3740762938,-0.3957990294|H,-0&lt;br /&gt;
 .9029236002,-1.2595202644,-0.9523141441|C,-2.5651091567,-0.3367603875,&lt;br /&gt;
 0.1536800532|H,-2.705100892,0.5442772588,0.7688245153|H,-2.7347523224,&lt;br /&gt;
 -1.2078875383,0.781113969|C,-3.6186559422,-0.3296419644,-0.9865612662|&lt;br /&gt;
 H,-3.4515751593,-1.1950901167,-1.6224843509|H,-3.4760201185,0.55695282&lt;br /&gt;
 42,-1.5930552979|C,-5.0234867361,-0.3681845916,-0.4374037492|H,-5.2836&lt;br /&gt;
 653265,-1.2584068673,0.1101576524|C,-5.9073278535,0.5980770514,-0.5690&lt;br /&gt;
 537339|H,-5.6837557205,1.5006671824,-1.1076677001|H,-6.8917011507,0.52&lt;br /&gt;
 69439504,-0.147040399||Version=IA32W-G03RevE.01|State=1-A|HF=-231.6926&lt;br /&gt;
 024|RMSD=4.126e-009|RMSF=5.640e-006|Thermal=0.|Dipole=-0.0001746,-0.07&lt;br /&gt;
 95385,-0.000475|PG=C01 [X(C6H10)]||@&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
 HIGGLEDY-PIGGLEDY&lt;br /&gt;
 NIC&#039;LAUS COPERNICUS&lt;br /&gt;
 LOOKED AT THE UNIVERSE,&lt;br /&gt;
 SPOKE TO THE THRONG;&lt;br /&gt;
 GIVE UP YOUR PTOLOMY,&lt;br /&gt;
 RISE UP AND FOLLOW ME,&lt;br /&gt;
 HELIOCENTRICALLY&lt;br /&gt;
 PTOLEMY&#039;S WRONG.&lt;br /&gt;
   -- NANCY L. STARK&lt;br /&gt;
 Job cpu time:  0 days  0 hours  2 minutes 12.0 seconds.&lt;br /&gt;
 File lengths (MBytes):  RWF=     16 Int=      0 D2E=      0 Chk=      7 Scr=      1&lt;br /&gt;
 Normal termination of Gaussian 03 at Thu Mar 18 12:11:37 2010.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108507</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108507"/>
		<updated>2010-03-26T12:03:28Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Modelling Reactants and Products&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences.&lt;br /&gt;
&lt;br /&gt;
Output Files&lt;br /&gt;
&lt;br /&gt;
[[Mod:iiiioopp|Anti 1]]&lt;br /&gt;
[[Mod:iiimjkioopp|Gauche 3]]&lt;br /&gt;
[[Mod:iijjimjkioopp|Anti 2]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108506</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108506"/>
		<updated>2010-03-26T11:47:33Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;References&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
1. G. Schultz, I. Hargitta, J. Mol. Struc., 1995, 346, 63-69&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108505</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108505"/>
		<updated>2010-03-26T11:46:11Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3).&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving us with less than half alloted time for the project.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108504</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108504"/>
		<updated>2010-03-26T11:44:38Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving will half alloted time for the project.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108503</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108503"/>
		<updated>2010-03-26T11:44:10Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used, table code taken from Mod:phys3)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As expected the higher basis set calculation provided an activation energy much closer to the experimental values. From the activation energy (if under kninetic control) it postulates that the reaction would procede through the chair transition state as this has lower activation energy for the reaction. However in this case we are assuming the reactant is in the conformer anti:2, while calculated previously the Gauche:3 had lower energy and is expected to be the most stable arrangement. &lt;br /&gt;
&lt;br /&gt;
The additional Diels alder section of the project was not completed, as I am sure your aware, due to problems with the wiki site leaving will half alloted time for the project.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108500</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108500"/>
		<updated>2010-03-26T11:37:51Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G(d)&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.34&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108499</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108499"/>
		<updated>2010-03-26T11:36:40Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.16&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.32&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108498</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108498"/>
		<updated>2010-03-26T11:35:33Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.17&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.98&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.32&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108497</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108497"/>
		<updated>2010-03-26T11:32:34Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.71&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.17&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.96&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.32&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108496</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108496"/>
		<updated>2010-03-26T11:30:08Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Reaction Activation Energy&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer and chair from first optimisation used. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; |  -231.466700&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461341&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414930&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.409009&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450933&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445303&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543080&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402304&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.395970&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539541&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532567&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611731&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469204&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461857&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.70&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.17&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.96&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.32&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108492</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108492"/>
		<updated>2010-03-26T11:04:07Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Reaction Activation Energy&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Through modelling of the reactants and transition states we have gain the knowledge of their respective energies, through this the activation energy for the cope rearrangement can be calulated. To achieve a more accurate calculation data; the tranisition states were re-optimised (as well as vibrational analysis) using the DFT-B31yp method and 6-31g(d) basis set. The summary of the results is given below (the reactant in this case is assumed to be the Anti:2 conformer. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of energies (in hartree) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
!colspan=&amp;quot;3&amp;quot;|&#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Electronic energy&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and zero-point energies&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Sum of electronic and thermal energies&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Chair TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.619322&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.466705&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.461346&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.556983&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.414919&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.408998&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Boat TS&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.602802&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.450929&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.445300&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.543093&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.402340&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.396006&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;Reactant (&#039;&#039;anti2&#039;&#039;)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.692535&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.539539&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -231.532566&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.611710&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.469203&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | -234.461856&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;br /&amp;gt; *1 hartree = 627.509 kcal/mol  &amp;lt;br /&amp;gt;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Summary of activation energies (in kcal/mol) &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot; cellspacing=&amp;quot;1&amp;quot; cellpadding=&amp;quot;10&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;HF/3-21G&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;B3LYP/6-31G*&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;Expt.&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039; &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K &#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 298.15 K&#039;&#039;&#039;&lt;br /&gt;
| width=&amp;quot;125&amp;quot; align=&amp;quot;center&amp;quot; | &#039;&#039;&#039;at 0 K&#039;&#039;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Chair)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 45.70&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.69&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 34.06&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.17&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 33.5 ± 0.5&lt;br /&gt;
|-&lt;br /&gt;
| &#039;&#039;&#039;ΔE (Boat)&#039;&#039;&#039;&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 55.60&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 54.76&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.96&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 41.32&lt;br /&gt;
| align=&amp;quot;center&amp;quot; | 44.7 ± 2.0&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITVboatirc.mol&amp;diff=108189</id>
		<title>File:ITVboatirc.mol</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITVboatirc.mol&amp;diff=108189"/>
		<updated>2010-03-25T19:36:39Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITVchairirc.mol&amp;diff=108188</id>
		<title>File:ITVchairirc.mol</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITVchairirc.mol&amp;diff=108188"/>
		<updated>2010-03-25T19:36:13Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108187</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108187"/>
		<updated>2010-03-25T19:35:58Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchairirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboatirc.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108186</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108186"/>
		<updated>2010-03-25T19:33:15Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement.&lt;br /&gt;
&lt;br /&gt;
The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 3 arrangement passes through a boat transition state in the Cope Rearrangement.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1jkjjjhk.jpg&amp;diff=108184</id>
		<title>File:ITV1jkjjjhk.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1jkjjjhk.jpg&amp;diff=108184"/>
		<updated>2010-03-25T19:30:31Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1jkjjjk.jpg&amp;diff=108183</id>
		<title>File:ITV1jkjjjk.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1jkjjjk.jpg&amp;diff=108183"/>
		<updated>2010-03-25T19:30:21Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108181</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108181"/>
		<updated>2010-03-25T19:28:28Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in [[Mod:phys3#Appendix 1|Appendix 1]]. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)|centre]]&lt;br /&gt;
&lt;br /&gt;
This postulates that the gauche 2 arrangement passes through a chair transition state in the Cope Rearrangement. The same calculation was applied to the Boat transition state giving the below structure, this arrangement matching very well to the gauche 3 geometry, with an energy of -231.6919 au which is closest to the gauche 3 energy given in [[Mod:phys3#Appendix 1|Appendix 1]].&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjhk.jpg|thumb|350px|IRC Output from Boat Transition State (gauche3)|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108180</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108180"/>
		<updated>2010-03-25T19:13:59Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
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====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
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====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the structure below with an energy of -231.69167 au (matching in both geometry and energy to the Gauche 2 arrangement in Appendix 1. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1jkjjjk.jpg|thumb|350px|IRC Output from Chair Transition State (gauche2)|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108172</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108172"/>
		<updated>2010-03-25T19:04:04Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;br /&gt;
&lt;br /&gt;
The IRC calulcation was firstly completed on the Chair transition state with 50 iterations and calulating the force constants once. &lt;br /&gt;
&lt;br /&gt;
 # irc=(forward,maxpoints=50,calccfc) hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation did not yield a structure that was one of ten most stable structures for the molecule, the calculation was re-run this time calculating the force constants at every step, yielding the following structure.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108167</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108167"/>
		<updated>2010-03-25T18:52:49Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Chair and Boat IRC&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
Both that of the Chair and Boat transition state were successfully modelled, knowledge of the reactant and product geometries is still unknown. The IRC calculation (Intrinsic Reaction Co-ordinates) can be used to find out which reactant geometry leads to each transition state, the calulation involves making small changes in the transition state geometry to minimise energy until a energy minima is achieved (i.e the reactant). As mentioned previously the reaction is symmetrical and therefore the calculation need only be run in a single direction to achieve the product and reactant geometry.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108159</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108159"/>
		<updated>2010-03-25T18:36:14Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair and Boat IRC&#039;&#039;&#039;&#039;&#039;====&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1boatvib.jpg&amp;diff=108157</id>
		<title>File:ITV1boatvib.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1boatvib.jpg&amp;diff=108157"/>
		<updated>2010-03-25T18:33:20Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108156</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108156"/>
		<updated>2010-03-25T18:33:00Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved. The reactive carbon seperation is 2.14 angstroms (mucg larger than in the chair 2.02 angstroms), a imagnery frequency was seen at -840cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; again corresponding to the bond making and breaking of the cope arrangement (see below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boatvib.jpg|thumb|350px|Boat Transition State Imaginery Frequency|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITVboat.mol&amp;diff=108143</id>
		<title>File:ITVboat.mol</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITVboat.mol&amp;diff=108143"/>
		<updated>2010-03-25T18:22:53Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108141</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108141"/>
		<updated>2010-03-25T18:21:58Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVboat.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1boat.jpg&amp;diff=108139</id>
		<title>File:ITV1boat.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1boat.jpg&amp;diff=108139"/>
		<updated>2010-03-25T18:20:46Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108136</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108136"/>
		<updated>2010-03-25T18:18:46Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|350px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|350px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the QST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|350px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
These new arrangements were then optimised again using the QST2 method and the following boat transition state was achieved.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1boat.jpg|thumb|250px|Boat Transition State|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1mirrorthingy2.jpg&amp;diff=108123</id>
		<title>File:ITV1mirrorthingy2.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1mirrorthingy2.jpg&amp;diff=108123"/>
		<updated>2010-03-25T18:09:50Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108121</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108121"/>
		<updated>2010-03-25T18:09:38Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|250px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|250px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the OST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy2.jpg|thumb|250px|Modified Reactant and Product of Cope Rearrangement|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108116</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108116"/>
		<updated>2010-03-25T18:05:07Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|250px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|250px|Failed Boat Transition State Optimisation|centre]]&lt;br /&gt;
&lt;br /&gt;
The conformation of the input reactant and product for the OST2 method was altered such that the central C-C-C-C dihedral angles were changed for 180° to 0° and the inside C-C-C bond angle was reduce to 100° from around 110°. The new input arrangements can be seen below.&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1failure.jpg&amp;diff=108097</id>
		<title>File:ITV1failure.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1failure.jpg&amp;diff=108097"/>
		<updated>2010-03-25T17:48:26Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108095</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108095"/>
		<updated>2010-03-25T17:47:52Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|250px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
  # opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|250px|Failed Boat Transition State Optimisation|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108094</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108094"/>
		<updated>2010-03-25T17:46:46Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|250px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
# opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calculation failed to converge to a transition state, the outputed structure more resembles the chair transition state (see below). It appears that the optimisation method did not rotate any the bonds that may lead to the boat transition state therefore it can assumed the start structure is two far away from the transition state structure. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1failure.jpg|thumb|250px|Failed Boat Transition State Optimisation|centre]]&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108077</id>
		<title>Rep:ITV1</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:ITV1&amp;diff=108077"/>
		<updated>2010-03-25T17:17:20Z</updated>

		<summary type="html">&lt;p&gt;Tb607: /* &amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039;Boat Transition State&amp;#039;&amp;#039;&amp;#039;&amp;#039;&amp;#039; */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Tim Barrett - Third Year Computational Lab - Module 3&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;The Cope Rearrangement&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
The Cope Rearrangement, developed namely by Arthur C Cope, is a example of a [3,3]-Sigmatropic rearrangement of 1,5-dienes. In this exercise the Cope rearrangement of the simplest example; 1,5-hexadiene will be modelled and transition states of such a rearrangement probed. Using this simple example has inherent advantages not only for the simplicity of the model but also the symmetric nature of the reaction profile makes the knowledge reaction direction and limit number of reactant and product molecules to be modelled.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Modelling Reactants and Products&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
As mentioned previously the reactant and product molecules in the reaction modelled are both; 1,5-hexadiene. The molecule has ten known stable configurations shown in [[Mod:phys3#Appendix 1|Appendix 1]] (actually 729 possible configuration from three freely rotatable single bonds and six possible dihedral angles - 6&amp;lt;sup&amp;gt;3&amp;lt;/sup&amp;gt;) &lt;br /&gt;
&lt;br /&gt;
a+b)&lt;br /&gt;
The 1,5-hexadiene in both the anti and gauche arrangement was firstly modelled using Gaussview and then used to create a Gaussian input file for geometry optimisation through energy minimisation using the Hartree-Fock method and the basis set of 3-21g (a small double-ζ basis set). This input file was submitted to the Gaussian software for calulation (relevant section of input file below)&lt;br /&gt;
&lt;br /&gt;
  # opt hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
d)The resultant geometries of the optimised anti and gauche structure showed the energy, structure and symmetry of the anti:1 and gauche:3 conformations respectfully. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti1.jpg|thumb|250px|Anti:1 Energy = -231.69260 au C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-gauc.jpg|thumb|250px|Gauche:3 Energy = -231.69266 au C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVgauche3.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
c)&lt;br /&gt;
The expected lowest energy conformation would be that has the lowest steric interaction. Thus in the anti conformation the arrangement that orientates all the hydrogens away from each other would minimise steric clash and be of lowest energy. The anti 1 arrangement already achieved has such orientation of the hydrogens and would expect to be the lowest anti conformer. To check this hypothesis the molecule was redrawn with a reduced dihedral angle (smallest) between the vinyl and methylene hydrogen (56° to 30°) and then reoptimised - this yielded the anti:2 arrangement (d) of higher energy with the smallest dihedral angle of 55°. &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2.jpg|thumb|250px|Anti:2 Energy = -231.69253 au C&amp;lt;sub&amp;gt;i&amp;lt;/sub&amp;gt; Symmetry&amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVanti2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]   &lt;br /&gt;
&lt;br /&gt;
It is also therefore expected that the gauche would be of higher energy than the anti due to steric strain through bringing the alkene group closer in proximity to each other, however the Gauche conformation; gauche:3 found appears to be lower in energy by 0.04kcal/mol compared to the anti:1 arrangement. The gauche:3 arrangement however does orientated the alkenes in different orientation minimising the steric interactions and the smallest dihedral angle between the vinyl and methylene protons is 58° thus slightly less steric clash between said protons than in anti:1 arrangement, perphaps explaining such energy differences. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;e) Reoptimisation with Higher Level Basis Set&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimised structure Anti:2 (HF, 3-21g) modelled earlier showed the same energy and symmetry to that given in [[Mod:phys3#Appendix 1|Appendix 1]]. The structure was then re-optimised using the higher level method and basis set of DFT-B31YP and 6-31G(d) repectfully. The output structure can be seen below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1-anti2basissets.jpg|thumb|250px|centre]] &lt;br /&gt;
&lt;br /&gt;
As can be seen visually there appears to be little difference between the structures optimised with the different basis sets - however through measurements in Gaussview its shows small difference in the bond angles of the two structures. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Angles/Dihedral Angles&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|111.3°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|112.7°&lt;br /&gt;
|-&lt;br /&gt;
!C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|124.8°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|125.3°&lt;br /&gt;
|-&lt;br /&gt;
!C1-C2-C3-C4&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-118.6°&lt;br /&gt;
|-&lt;br /&gt;
!C2-C3-C4-C5&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|-180.0°&lt;br /&gt;
|-&lt;br /&gt;
!C3-C4-C5-C6&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|114.7°&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|118.6°&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The bond angles for the DFT method optimised geometry all appear to be equal or larger than those in the hartree fock optimised structure - the greater angles would suggest a destabilisation relative to the most stable 109° (sp3 carbon) and 120° (sp2 carbon) however the larger bond angles will minimise destabilising steric replusion. &lt;br /&gt;
There are also small discrepancies between the two optimised structures in the bond lengths - as can be seen in the table below. &lt;br /&gt;
&lt;br /&gt;
{|border=&amp;quot;1&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!Bond Length/Angstroms&lt;br /&gt;
!HF/3-21G&lt;br /&gt;
!DFT-B3LYP/6-31G(d)&lt;br /&gt;
!Literature&lt;br /&gt;
|-&lt;br /&gt;
!C=C &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.32&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.33&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.34&lt;br /&gt;
 |-&lt;br /&gt;
!C(H)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.50&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.51&lt;br /&gt;
|-&lt;br /&gt;
!C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;)-C(H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;) &lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.55&lt;br /&gt;
|align=&amp;quot;right&amp;quot;|1.54&lt;br /&gt;
 |-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
As can be seen in comparison between each optimised model and the literature it can be seen to show only minor differences with only discrepancies of maximium one degree in bond angle and 0.01 angstroms. It is difficult to compare accuracies to experimental values as certain literature parameters better correlate to one model and some to the other. It is assumed that the higher level basis set gives the more accurate geometry, however in this molecule the two basis sets produce similar geometries thus the HF, 3-21g produces a structure similar in accuracies to the higher level DFT-B31YP, 6-31G(d) method. As the HF, 3-21g requires less computational time, further models of such molecules can be optimised using this basis set and produce relatively accurate geometries.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;g) Frequency Analysis of DFT Optimised Anti:2&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
A frequency analysis of the optimised structure (DFT-B31YP, 6-31G(d)) of anti:2 was completed using the following gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # freq b3lyp/6-31g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The calulation converged - yielding all positive vibrational frequencies. Optimisation changes the molecule until the first derivative of the energy surface equates to zero, therefore a maxima or minima. Vibration calculation takes the second derivative of the energy surface and therefore a positive frequency equates to a energy minimium. Negative frequencies would suggest a incorrect optimisation of the molecule. Therefore the all positive frequencies shows that the geometry has successful converged to a global minimium in energy.&lt;br /&gt;
&lt;br /&gt;
The vibrational analysis also calculates the overall energy of the molecule and combine with the entropy contribution to give the overall gibbs free energy (below &#039;Sum of electronic and free energies&#039;). These thermodyamic properties can be directly compared to experiment values to confirm further the correct model structure of the molecule. See below relevant section of gaussian output file, all units in Hartree energy.  &lt;br /&gt;
&lt;br /&gt;
 Sum of electronic and zero-point Energies=           -234.469204 &lt;br /&gt;
 Sum of electronic and thermal Energies=              -234.461857 &lt;br /&gt;
 Sum of electronic and thermal Enthalpies=            -234.460913 &lt;br /&gt;
 Sum of electronic and thermal Free Energies=         -234.500777&lt;br /&gt;
&lt;br /&gt;
== &#039;&#039;&#039;&#039;&#039;Transition State Modelling&#039;&#039;&#039;&#039;&#039; ==&lt;br /&gt;
&lt;br /&gt;
Unlike geometry optimisation through energy minimisation to achieve a tranisition state the optimation procedure has to converge to a energy maximium of the potential surface. This would mean that through vibrational analysis the optimisation of a tranisition state can be confirmed through negative vibration frequencues known as imaginery frequencies. This section will model the transition states of the cope rearrangement. The rearrangement can go through either one or two transition states: the boat or chair (seen below). &lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairandboat.jpg|thumb|250px|centre]]&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Chair Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
a) The first step in the procedure was to model the fragments of the transition state broke apart by the forming and breaking bonds - creating two identical allylic fragments. The allylic fragment was optimised using the Hartree Fock Method and 3-21g basis set (shown previously to give good accuracy for this molecule).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1allylfragment.jpg|thumb|250px|Optimised Allylic Fragment|centre]]&lt;br /&gt;
&lt;br /&gt;
b) The chair tranisition state was modelled first using two of the allylic fragments arranged in a chair like orientation with reacting carbons seperated at 2.2 angstroms and then optimised to a transition state (Berney) as well as vibrational analysis using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
 # opt=(calcfc,ts,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation was completed using again the Hartree Fock method and 3-21g basis set, the calulation was setup to calculate the force constants once and set allows for more than one imaginary frequency. This calculation yielded the structure you see below.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber1.jpg|thumb|250px|Chair First Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair1.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The optimised structures shows a reactive carbon carbon seperation of 2.02 angstroms and a imagnery frequency at -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; corresponding to the bond making or breaking in the cope rearrangement (see Gaussview vibration visualisation picture below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chair1vibration.jpg|thumb|250px|Chair First Optimisation -818cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; Vibration|centre]]&lt;br /&gt;
&lt;br /&gt;
The transition state optimisation method used, reaches the estimated transition state through ascending the potential energy surface starting from the initial structure modelled - if this initial estimate is poor then the tranisition state achieved in the calculation may be inaccurate. Another method of transition state optimisation is achieved through firstly optimising the estimated structure to a minimium energy while fixing the seperation between the reactive centres, followed by optimising to a transition state. This method creates a better inputed structural arrangement for the transition state optimisation.&lt;br /&gt;
&lt;br /&gt;
c+d) The procedure described was carried out on the chair transition state input used prevously but with the reactive carbons seperation fixed at 2.2 anstroms for optimisation to a energy minimium followed by optimisation to a transition state (relevant input below).&lt;br /&gt;
&lt;br /&gt;
 # opt=(ts,modredundant,noeigen) freq hf/3-21g geom=connectivity&lt;br /&gt;
&lt;br /&gt;
This optimisation yielded the transition state below again with reactive carbon carbon seperation of 2.02 angstroms.&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1chairnumber2.jpg|thumb|250px|Chair Second Optimisation &amp;lt;jmol&amp;gt;&lt;br /&gt;
&amp;lt;jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;uploadedFileContents&amp;gt;ITVchair2.mol&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;text&amp;gt;Jmol&amp;lt;/text&amp;gt;&lt;br /&gt;
&amp;lt;/jmolAppletButton&amp;gt;&lt;br /&gt;
&amp;lt;/jmol&amp;gt;|centre]]&lt;br /&gt;
&lt;br /&gt;
The new optimised transition state visually shows no difference to the first optimised structure and shows only maxium 0.001 angstrom differences in bond length. The energy calulated for the second optimised structure is -231.61932239 au compared to -231.61932229 au for the first optimisation, so is therefore lower in energy than the first optimisation suggesting the first optimisation was a better representation of the tranisitition state, but the differences are very small and thus could be in line with error in the calculation. Therefore it can be assumed that the initial structure input in the first optimisation was a good estimate.&lt;br /&gt;
&lt;br /&gt;
====&#039;&#039;&#039;&#039;&#039;Boat Transition State&#039;&#039;&#039;&#039;&#039;====&lt;br /&gt;
&lt;br /&gt;
The optimisation of the Boat transition state was achieved using the QST2 Method which uses the reactant and product molecule to follow the reaction profile to the transition state. Using the optimised anti:2 structure modelled earlier the reactant and product of the cope rearrangement were modelled (see below).&lt;br /&gt;
&lt;br /&gt;
[[Image:ITV1mirrorthingy.jpg|thumb|250px|Reactant and Product of Cope Rearrangement|centre]]&lt;br /&gt;
&lt;br /&gt;
The reactant and product models was then optimised to a transition state using the following Gaussian input code. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
# opt=(qst2,noeigen) freq hf/3-21g geom=connectivity&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1mirrorthingy.jpg&amp;diff=108076</id>
		<title>File:ITV1mirrorthingy.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:ITV1mirrorthingy.jpg&amp;diff=108076"/>
		<updated>2010-03-25T17:13:45Z</updated>

		<summary type="html">&lt;p&gt;Tb607: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Tb607</name></author>
	</entry>
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