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CS

Carbon Monosulfide


Levels of Theory Used
We used five different methods for calculating bond length. AM1 and PM3 were the simplest calculations. 6-21G, 6-31G , and Double Zeta Valence (DZV) used increasingly larger basis sets and were ab initio calculations making them computationally more difficult but theoretically more accurate.

AM1 was the simplest level of theory used.

PM3 was the second highest level of experimental geometry used to calculate bond length.

6-21G was the first ab initio calculatoin ran.

6-31G was another ab initio calculation with a larger basis set.

6-21G and 6-31G gave the same bond length which was closest to the literature value of 1.535 angstroms.


DZV was the most computationally intense level of theory used to calculate bond length.

The highest occupied molecular orbital was 11. This is shown as calculated by DZV.

The lowest unoccupied molecular orbital was 12. This is shown as calculated by DZV.

The electrostatic potential represents the potential surface around the molecule. The red  regions are low electrostatic while the blue regions are the highest electrostatic potential. The animation shown uses the DZV basis set to show electrostatic potential.

The partial atomic charge of each atom in the molecule is due to differences in the electronegativity of the atoms. The animation shown uses the DZV basis set to show electrostatic potential.

Table 1: Valence Level Molecular Orbitals for CS
Type of Bonding
Orbital Picture

Sigma P Antibonding
Pi P Antibonding

Pi P Bonding

Sigma P
Sigma S Antibonding

Sigma S Bonding




Table 2: Dipole Moments at different levels of theory and their error compared to the literature value
Theory
Dipole Best Moment (Debye)
Percent Error (%)
6-21G
1.651772
16.6
6-31G
1.602751
19.1
DZV
1.780875
10.1

Literature Value: 1.98 Debye3

The dipole moments increase as the basis set increases in size. The DZV level of theory yields the closest value to the literature value. Each level of theory was further improved using diffuse calculations


Key: 6-21G
         6-31G
         DZV

Graph 1. Potential Energy vs Bond Length for the three ab initio levels of theory

The results shown in the graph make sense. The most complex level of theory, DZV, gave the lowest energy.

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