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Carbon Dioxide
The geometry optimization calculations for CO2 calculated at the higher levels of theory all produced a bond length of 1.19 angstroms. From there, the DZV calculations were used for any further calculations. The bond angle is not shown because it is a linear molecule and therefore has a 180o bond angle. Also, because this is a non polar molecule, there is no dipole moment.

The 6-21G calculation was the lowest level of theory and produced a bond length of 1.19 angstroms.


The 6-31G calculation was the next highest level of theory used for calculations and produced a bond length of 1.19 angstroms, the same as the 6-21G calculation.


The DZV calculation was the highest level of theory and produced a bond length of 1.19 angstroms, the same as the two previous calculations.

Table 1: Experimentally determined bond lengths of the C=O double bond compared to the literature value6.
Level of Theory
Experimental Value (Angstroms)
Literature Value (Angstroms)
Percent Error
6-21G
1.19
1.16
3%
6-31G
1.19
1.16
3%
DZV
1.19
1.16
3%


This is the highest occupied molecular orbital at 9.


This is the lowest unoccupied molecular orbital at 10.

This orbital would become occupied if the molecule was excited with enough energy.

The electrostatic potential diagram has different colors representing different levels of electrostatic potential. The red color in the middle signifies the lowest electrostatic potential for the molecule while the blue is the highest at both ends of the molecule. The transition of colors between red and blue shows where the intermediate levels are.
 

The partial atomic charges of CO2 are shown.

 
Table 2: The vibrational frequencies of the CO2 molecule6.
Type of Bond
Literature Frequency (cm-1)
Experimental Frequency (cm-1)
Percent Error
Bend
667
480
28%
Symmetric Stretch
1333
1653
23%
Anti Symmetric Stretch
2349
2563
9.1%


Figure 1: IR Spectrum of CO2

This is the bend for CO2.



This also shows the bend from another frame of reference.


This is the symmetric stretch for CO2.
 

This is the anti symmetric stretch of CO2.



Based on template by A. Herráez as modified by J. Gutow
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