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All results from a given calculation for C6H5CH3 (toluene)

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-271.518326
Energy at 298.15K-271.526347
Nuclear repulsion energy269.270966
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3237 3081 13.86      
2 A' 3216 3061 5.66      
3 A' 3201 3047 9.22      
4 A' 3133 2982 15.12      
5 A' 3063 2915 29.19      
6 A' 1682 1601 9.47      
7 A' 1546 1471 14.43      
8 A' 1496 1424 8.33      
9 A' 1421 1352 1.72      
10 A' 1248 1188 0.60      
11 A' 1211 1153 0.42      
12 A' 1064 1013 4.12      
13 A' 1064 1012 9.10      
14 A' 1020 971 0.08      
15 A' 1008 960 0.02      
16 A' 918 873 0.58      
17 A' 808 769 0.81      
18 A' 746 710 65.95      
19 A' 711 677 22.39      
20 A' 529 503 0.62      
21 A' 475 452 10.04      
22 A' 210 200 2.64      
23 A" 3224 3069 33.76      
24 A" 3202 3048 6.42      
25 A" 3158 3006 14.36      
26 A" 1659 1579 0.25      
27 A" 1512 1439 13.79      
28 A" 1479 1408 0.63      
29 A" 1379 1313 0.01      
30 A" 1352 1287 0.01      
31 A" 1187 1130 0.03      
32 A" 1121 1067 7.22      
33 A" 1006 957 0.06      
34 A" 989 941 0.00      
35 A" 863 821 0.02      
36 A" 634 604 0.10      
37 A" 415 395 0.01      
38 A" 343 326 0.37      
39 A" 32 30 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 28280.3 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 26917.2 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31+G**
ABC
0.18535 0.08412 0.05849

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.005 0.913 0.000
C2 0.008 0.195 1.200
C3 0.008 -1.198 1.203
C4 0.007 -1.901 0.000
C5 0.008 -1.198 -1.203
C6 0.008 0.195 -1.200
C7 -0.030 2.418 0.000
H8 0.012 0.734 2.143
H9 0.012 -1.734 2.146
H10 0.010 -2.986 0.000
H11 0.012 -1.734 -2.146
H12 0.012 0.734 -2.143
H13 -1.062 2.785 0.000
H14 0.463 2.828 0.884
H15 0.463 2.828 -0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.39842.42992.81422.42991.39841.50472.15073.40833.89903.40832.15072.15452.15862.1586
C21.39841.39292.41492.77702.39942.52601.08642.14903.39943.86233.38603.04852.69113.3890
C32.42991.39291.39302.40542.77703.81062.14851.08532.15463.39163.86344.29624.06464.5580
C42.81422.41491.39301.39302.41494.31863.39622.15261.08492.15263.39624.80644.83284.8328
C52.42992.77702.40541.39301.39293.81063.86343.39162.15461.08532.14854.29624.55804.0646
C61.39842.39942.77702.41491.39292.52603.38603.86233.39942.14901.08643.04853.38902.6911
C71.50472.52603.81064.31863.81062.52602.72594.67415.40344.67412.72591.09541.09271.0927
H82.15071.08642.14853.39623.86343.38602.72592.46814.29274.94874.28633.15532.48513.7090
H93.40832.14901.08532.15263.39163.86234.67412.46812.48434.29234.94875.11734.75555.4960
H103.89903.39942.15461.08492.15463.39945.40344.29272.48432.48434.29275.86965.89855.8985
H113.40833.86233.39162.15261.08532.14904.67414.94874.29232.48432.46815.11735.49604.7555
H122.15073.38603.86343.39622.14851.08642.72594.28634.94874.29272.46813.15533.70902.4851
H132.15453.04854.29624.80644.29623.04851.09543.15535.11735.86965.11733.15531.76331.7633
H142.15862.69114.06464.83284.55803.38901.09272.48514.75555.89855.49603.70901.76331.7686
H152.15863.38904.55804.83284.06462.69111.09273.70905.49605.89854.75552.48511.76331.7686

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.037 C1 C2 H8 119.358
C1 C6 C5 121.037 C1 C6 H12 119.358
C1 C7 H13 110.934 C1 C7 H14 111.438
C1 C7 H15 111.438 C2 C1 C6 118.173
C2 C1 C7 120.908 C2 C3 C4 120.178
C2 C3 H9 119.745 C3 C2 H8 119.606
C3 C4 C5 119.397 C3 C4 H10 120.301
C4 C3 H9 120.076 C4 C5 C6 120.178
C4 C5 H11 120.076 C5 C4 H10 120.301
C5 C6 H12 119.606 C6 C1 C7 120.908
C6 C5 H11 119.745 H13 C7 H14 107.389
H13 C7 H15 107.389 H14 C7 H15 108.060
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.442      
2 C -0.303      
3 C -0.114      
4 C -0.152      
5 C -0.114      
6 C -0.303      
7 C -0.765      
8 H 0.152      
9 H 0.157      
10 H 0.157      
11 H 0.157      
12 H 0.152      
13 H 0.188      
14 H 0.173      
15 H 0.173      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.048 0.422 0.000 0.424
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.328 -0.123 0.000
y -0.123 -37.944 0.000
z 0.000 0.000 -38.434
Traceless
 xyz
x -8.138 -0.123 0.000
y -0.123 4.437 0.000
z 0.000 0.000 3.702
Polar
3z2-r27.403
x2-y2-8.383
xy-0.123
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.262 -0.104 0.000
y -0.104 14.552 0.000
z 0.000 0.000 12.773


<r2> (average value of r2) Å2
<r2> 200.898
(<r2>)1/2 14.174