O-Xylene (C8H10)
        The MO Calculations for O-Xylene (C8H10)

 

        For O-Xylene, the overall best calculated dipole moment was found using the 6-21G level of theory. The 6-21G level gave a 1.10% error for the dipole moment. The data collected for each level of theory can be found in Table 1.

Table 1: Dipole moment for each level of theory.

Theory
Dipole Moment (Db)
Percent Error (%)
Literature
.50
---
AM1
.397415
21
PM3
.444725
11
DZV
.637799
14
6-21G
.545497
9.1
6-31G
.505498
1.1

        Figure 1 though Figure 3 showed the geometries under 6-21G, 6-31G, and DZV levels of theory. The bond lengths and bond angles are both shown in those figures listed below.

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Figure 1: Geometry of O-Xylene using 6-21G calculation
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Figure 2: Geometry of O-Xylene using 6-31G calculation
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Figure 3: Geometry of O-Xylene using DZV calculation

 

 

        The Highest Occupied Molecular Orbital (HOMO) was at orbital 29. The HOMO was calculated by dividing the sum of the total number of electrons in the molecule by 2. The Lowest Unoccupied Molecular Orbital (LUMO) was at orbital 30. The LUMO was the orbital that would get filled by the excited valence electron(s) from the HOMO if proper excitation occurs.


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Figure 4: Highest Occupied Molecular Orbital for O-Xylene using 6-21G calculation
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Figure 5: Lowest Unoccupied Molecular Orbital for O-Xylene using 6-21G calculation

 
 
       The electrostatic potential of CO2 using the 6-21G ab initio theory was shown using a rainbow spectrum in Figure 6. The red is used to indicate the lowest potential while the blue indicate the highest potential.
 
        The partial atomic charge was shown in Figure 7. It demonstrated the distribution of eletrons by the asymmetric settling.

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Figure 6: Electrostatic Potential for O-Xylene using 6-21G calculation
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Figure 7: Partial Atomic Charge for O-Xylene using 6-21G calculation

 
 

        Figure 8 through Figure 13 showed possible primary motions associated with the peaks in the IR Spectrum shown in Figure 14. The bond movement with associated wavenumber was shown in Table 2

Table 2: the bond movements and wavenumbers.

Bond movement
Figure
Wavenumber (cm-1)
C-C bond stretch of methyl groups Figure 8 779.69
C-H oscillation of methyl groups Figure 9 1588.47
C-H bond stretch of methyl groups Figure 10 3210.01
C-H oscillation of C4 and C5 Figure 11 871.53
C-H oscillation of C3 and C6 Figure 12 1446.28
C-H bond stretch of aromatic ring Figure 13 3413.11


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Figure 8: C-C Bond Stretch of methyl groups for O-Xylene using 6-21G calculation
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Figure 9: C-H Oscillation of methyl groups for O-Xylene using 6-21G calculation
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Figure 10: C-H Bond Stretch of methyl groups for O-Xylene using 6-21G calculation



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Figure 11: C-H Oscillation of C4 and C5 for O-Xylene using 6-21G calculation
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Figure 12: C-H Oscillation of C3 and C6 for O-Xylene using 6-21G calculation
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Figure 13: C-H Bond Stretch of aromatic ring for O-Xylene using 6-21G calculation

 You can find this image at http://webbook.nist.gov/cgi/cbook.cgi?ID=C95476&Type=IR-SPEC&Index=2#IR-SPEC
Figure 14: Infrared Spectrum for O-Xylene.

         For UV-vis spectra, there was no graph that available. Considered that benzene has similar structure to o-xylene, Figure 15 shows the UV-vis spectra of benzene.

You can find this image at http://webbook.nist.gov/cgi/cbook.cgi?Name=benzene&Units=SI&cIR=on&cTZ=on&cMS=on&cUV=on&cGC=on&cES=on&cDI=on&cSO=on#UV-Vis-Spec
Figure 15: UV-vis spectra for Benzene.5

        The absorbance of O-Xylene was calculated by the following equation:
          

                                                 (1)

        where lambda was the wavelength, h was the plank's constant, c was the speed of light and E was the energy extract out from the .log file from each calculation. Note that 1 Jule is equal to 1.602e-19 eV. The calculated wavelengths for O-Xylene for each calculation are shown in Table 3.


Table 3: Calculated Wavelength for O-Xylene.

Calculation
6-21G
6-21G
6-21G
6-31G
6-31G
6-31G
DZV
DZV
DZV
Oscillator
Strength
0.012687
1.210676
1.049437
0.016560
1.218925
1.063044
0.020260
1.293430
1.127276
Energy
(eV)
6.34
8.37
8.50
6.23
8.24
8.37
6.12
8.13
8.20
Wavelength
(nm)
196
148
146
199
150
148
203
153
151

        The oscillator strength indicates the intensity of the oscillation movement in the molecule. The literature value of wavelength for O-Xylene was under 300 nm6. Compare to Figure 15, O-Xylene has two methyl groups more than benzene, that could explain the shift of the peak for O-Xylene.
 

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