Quantum Calculations on Cl2, SCH2, p-Dichlorobenzene
Max Jakel, Chris Kempka
Abstract
    In order to show the skepticism on the regularity of data between different different levels of theory, the properties of three molecules (Cl2, SCH3, 1,4-dicholorbenzen) were calculated. Using Avogadro the three molecules were constructed and had their geometries optimized in MacMol. From here, the vibrational frequencies and HOMO orbitals were determined for Cl2 and SCH3 using MacMol.
Introduction
    Much of reaction chemistry depends on the electronic structure of the molecules involved in a reaction. The electronic structure of a molecule is its placement of electrons in surrounding orbitals and the corresponding energies that relate to them. Using this model of a molecule can also be used to predict other properties of interest- such as the dipole movement, vibrational frequencies, potential energy surface, and UV-Vis spectrum calculations. These calculations, first done by hand by physical and chemical physicists, can now be done faster and more accurately with the use of computers and software packets. The use of the computer analysis programs allow for companies to save a lot of time and money by being able to determine if a reactions will happen before it is tested. In addition, these programs generate 3-D images that can show the: optimized geometries, HOMO orbitals, vibrational frequencies, and dipole moment. However, one has to be careful of what their calculations are reporting and how this compares to what ab initio levels of theory were used. PM3 and ab initio levels of theories were used to compile a 3-D image of dichloride, SCH3, and 1,4-dicholorbenzene and then the optimized geometries were calculated using GamessQ. From these same basis sets: the HOMO orbitals, dipole moment, and vibrational frequencies were calculated for SCH3; the potential energy surface and vibrational frequencies were calculated for Cl2; and a UV-Vis spectra for the aromatic compound 1,4-dichlorobenzene.
  
Experimental

The program Avogadro was used to create a digital image and get the initial geometry for the three molecules, Cl2, CH2S, and Dichlorobenzene.  Performing a molecular mechanics optimization in Avogadro gave the initial optimized geometry.  After the geometry was obtained, the file was moved to the program wxMacMolPlt in order to prepare the molecule for further optimization.  Within wxMacMolPlt each molecule was prepped to undergo calculations in GamessQ by setting up the correct basis sets for each level of theory.  The first of these basis sets was PM3, the lowest level of theory, next was 6-21G where there were six Gaussian functions for the core electrons and 21 for the valence electrons, more on the valence because those are the electrons that participate in reactions. 6-31G, even more Gaussian functions on the valence electron is a more accurate basis set, and lastly DZV or the Double Zeta Valence basis set was the most accurate.  These files were saved as .inp (input) files to be opened in the program GamessQ, once the calculations were completed through GamessQ, they were checked to make sure optimal geometry was reached.  By viewing the log for each calculation and checking to make sure that the calculations "exited gracefully" and that the "Optimal Geometry Reached" was also present, the calculation completed correctly.  After saving each of these calculations as .log files, then opened in Jmol to view the 3D models.  The molecular orbitals were shown through Jmol as well as the bond lengths and angles.  The dipole moments were taken from the GAMESSQ files, opened in TextEdit, and each level of theory (6-21G, 6-31G, and DZV) was recorded.  Vibrational frequencies for Cl2 and CH2S were generated through wxMacMolPlt and calculated through GamessQ.  Potential Energy Surface vs Bond Length on the diatomic molecule computations were prepped with the three highest levels of ab initio theory to be run in GamessQ, then those files were placed into the Igor Tool supplied by Dr. Jonathan Gutow.  For the aromatic, Dichlorobenzene, UV-Vis spectra were completed through GamessQ.

DichlorineThioformaldehydep-Dichlorobenzene

Discussion
Looking at the data from each of the three molecules' quantum calculations, it is evident that the calculations were best used for calculating the (molecular) geometry and the resulting surface potential energy plot. This is compared to vibrational frequencies which did not match match very well with the experimental UV-Vis and experimental IR values.  These programs and methods have proven themselves over time, so the sources of error would be first time use of said programs and calculations.


References

1.  COBLENTZ SOCIETY, IR Spectrum. 2009 http://webbook.nist.gov/cgi/cbook.cgi?ID=C106467&Units=SI&Type=IR-SPEC&Index=1#IR-SPEC, March 9, 2014
2.  NIST, Listing of experimental data for H2CS,  (Thioformaldehyde)cccbdb.nist.gov/exp2.asp?casno=865361 March 9, 2014
3. J. Gutow, Molecular Orbital (MO) Calculations pp1-15. February 2014
4. J Gutow, Dr. Gutow's tools for Authoring Jmol Web Pages. June 11, 2010. https://cms.gutow.uwosh.edu/gutow/Jmol_Web_Page_Maker/Jmol_Web_Page_Maker.shtml March 9, 2014