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All results from a given calculation for C6H5CH3 (toluene)

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-271.548721
Energy at 298.15K-271.556747
Nuclear repulsion energy269.872524
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 mPW1PW91/6-311G*
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' 3220 3073 19.54      
2 A' 3198 3052 9.75      
3 A' 3183 3038 10.45      
4 A' 3116 2974 22.17      
5 A' 3054 2914 30.67      
6 A' 1683 1606 7.70      
7 A' 1550 1479 16.64      
8 A' 1511 1442 8.31      
9 A' 1430 1365 1.54      
10 A' 1250 1193 0.45      
11 A' 1213 1158 0.34      
12 A' 1070 1021 9.56      
13 A' 1065 1016 3.29      
14 A' 1025 978 0.07      
15 A' 996 951 0.03      
16 A' 910 869 0.47      
17 A' 809 773 0.74      
18 A' 746 712 48.12      
19 A' 716 683 33.08      
20 A' 531 507 0.72      
21 A' 477 455 10.46      
22 A' 210 200 2.76      
23 A" 3207 3061 48.31      
24 A" 3185 3040 7.23      
25 A" 3141 2998 18.47      
26 A" 1660 1584 0.36      
27 A" 1523 1454 16.04      
28 A" 1487 1419 0.00      
29 A" 1372 1309 0.00      
30 A" 1355 1293 0.03      
31 A" 1189 1135 0.05      
32 A" 1122 1071 6.60      
33 A" 1010 964 0.03      
34 A" 970 926 0.00      
35 A" 857 818 0.02      
36 A" 638 609 0.11      
37 A" 415 396 0.01      
38 A" 343 327 0.35      
39 A" 32 31 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 28233.6 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 26946.2 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 mPW1PW91/6-311G*
ABC
0.18627 0.08449 0.05876

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.005 0.910 0.000
C2 0.007 0.194 1.196
C3 0.007 -1.195 1.199
C4 0.007 -1.896 0.000
C5 0.007 -1.195 -1.199
C6 0.007 0.194 -1.196
C7 -0.029 2.412 0.000
H8 0.011 0.732 2.140
H9 0.012 -1.731 2.142
H10 0.010 -2.980 0.000
H11 0.012 -1.731 -2.142
H12 0.011 0.732 -2.140
H13 -1.058 2.783 0.000
H14 0.464 2.825 0.882
H15 0.464 2.825 -0.882

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.39462.42332.80642.42331.39461.50232.14713.40143.89083.40142.14712.15312.15772.1577
C21.39461.38902.40812.76942.39292.52081.08592.14513.39223.85413.37923.04462.68913.3843
C32.42331.38901.38922.39902.76943.80192.14421.08472.15073.38463.85534.28934.05864.5504
C42.80642.40811.38921.38922.40814.30853.38882.14871.08432.14873.38884.79834.82474.8247
C52.42332.76942.39901.38921.38903.80193.85533.38462.15071.08472.14424.28934.55044.0586
C61.39462.39292.76942.40811.38902.52083.37923.85413.39222.14511.08593.04463.38432.6891
C71.50232.52083.80194.30853.80192.52082.72104.66515.39284.66512.72101.09441.09151.0915
H82.14711.08592.14423.38883.85533.37922.72102.46344.28474.94004.27933.15092.48353.7039
H93.40142.14511.08472.14873.38463.85414.66512.46342.47984.28474.94005.11014.74935.4878
H103.89083.39222.15071.08432.15073.39225.39284.28472.47982.47984.28475.86115.88985.8898
H113.40143.85413.38462.14871.08472.14514.66514.94004.28472.47982.46345.11015.48784.7493
H122.14713.37923.85533.38882.14421.08592.72104.27934.94004.28472.46343.15093.70392.4835
H132.15313.04464.28934.79834.28933.04461.09443.15095.11015.86115.11013.15091.75991.7599
H142.15772.68914.05864.82474.55043.38431.09152.48354.74935.88985.48783.70391.75991.7646
H152.15773.38434.55044.82474.05862.68911.09153.70395.48785.88984.74932.48351.75991.7646

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.045 C1 C2 H8 119.379
C1 C6 C5 121.045 C1 C6 H12 119.379
C1 C7 H13 111.054 C1 C7 H14 111.600
C1 C7 H15 111.600 C2 C1 C6 118.161
C2 C1 C7 120.914 C2 C3 C4 120.170
C2 C3 H9 119.757 C3 C2 H8 119.576
C3 C4 C5 119.408 C3 C4 H10 120.296
C4 C3 H9 120.072 C4 C5 C6 120.170
C4 C5 H11 120.072 C5 C4 H10 120.296
C5 C6 H12 119.576 C6 C1 C7 120.914
C6 C5 H11 119.757 H13 C7 H14 107.250
H13 C7 H15 107.250 H14 C7 H15 107.865
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.038      
2 C -0.209      
3 C -0.204      
4 C -0.201      
5 C -0.204      
6 C -0.209      
7 C -0.707      
8 H 0.195      
9 H 0.199      
10 H 0.199      
11 H 0.199      
12 H 0.195      
13 H 0.243      
14 H 0.232      
15 H 0.232      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.037 0.342 0.000 0.344
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.032 -0.091 0.000
y -0.091 -37.594 0.000
z 0.000 0.000 -37.960
Traceless
 xyz
x -8.255 -0.091 0.000
y -0.091 4.402 0.000
z 0.000 0.000 3.853
Polar
3z2-r27.706
x2-y2-8.437
xy-0.091
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.523 -0.099 0.000
y -0.099 13.918 0.000
z 0.000 0.000 12.050


<r2> (average value of r2) Å2
<r2> 199.914
(<r2>)1/2 14.139