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All results from a given calculation for C6H5CH3 (toluene)

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-270.013042
Energy at 298.15K-270.021125
Nuclear repulsion energy269.188432
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 mPW1PW91/3-21G*
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' 3245 3082 9.87      
2 A' 3222 3060 5.58      
3 A' 3208 3046 5.57      
4 A' 3132 2975 14.73      
5 A' 3069 2914 17.56      
6 A' 1660 1576 5.34      
7 A' 1560 1481 15.99      
8 A' 1558 1479 10.80      
9 A' 1462 1388 7.72      
10 A' 1250 1187 0.61      
11 A' 1248 1185 0.09      
12 A' 1105 1049 14.79      
13 A' 1074 1020 2.60      
14 A' 1048 995 0.32      
15 A' 1043 991 0.11      
16 A' 940 892 0.27      
17 A' 814 773 0.96      
18 A' 767 728 35.73      
19 A' 739 701 55.13      
20 A' 545 517 0.60      
21 A' 481 456 11.84      
22 A' 213 202 3.37      
23 A" 3231 3068 25.10      
24 A" 3209 3048 2.77      
25 A" 3156 2997 10.10      
26 A" 1643 1561 0.29      
27 A" 1560 1481 17.44      
28 A" 1510 1434 2.16      
29 A" 1404 1333 0.05      
30 A" 1345 1277 0.00      
31 A" 1235 1173 0.13      
32 A" 1140 1083 6.97      
33 A" 1034 982 0.07      
34 A" 1015 963 0.00      
35 A" 880 835 0.01      
36 A" 662 629 0.16      
37 A" 424 403 0.00      
38 A" 347 330 0.50      
39 A" 7 6 0.35      

Unscaled Zero Point Vibrational Energy (zpe) 28591.2 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 27150.2 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 mPW1PW91/3-21G*
ABC
0.18491 0.08414 0.05847

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.005 0.909 0.000
C2 0.007 0.195 1.202
C3 0.007 -1.198 1.204
C4 0.006 -1.899 0.000
C5 0.007 -1.198 -1.204
C6 0.007 0.195 -1.202
C7 -0.028 2.421 0.000
H8 0.011 0.736 2.142
H9 0.011 -1.735 2.145
H10 0.009 -2.983 0.000
H11 0.011 -1.735 -2.145
H12 0.011 0.736 -2.142
H13 -1.064 2.781 0.000
H14 0.470 2.824 0.887
H15 0.470 2.824 -0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.39802.42652.80852.42651.39801.51202.14903.40483.89183.40482.14902.15562.16092.1609
C21.39801.39302.41502.78002.40402.52961.08472.14843.39763.86363.38763.04622.68753.3894
C32.42651.39301.39332.40752.78003.81362.14981.08372.15293.39153.86474.29294.06054.5562
C42.80852.41501.39331.39332.41504.32033.39652.15111.08332.15113.39654.80154.82814.8281
C52.42652.78002.40751.39331.39303.81363.86473.39152.15291.08372.14984.29294.55624.0605
C61.39802.40402.78002.41501.39302.52963.38763.86363.39762.14841.08473.04623.38942.6875
C71.51202.52963.81364.32033.81362.52962.72524.67695.40354.67692.72521.09691.09411.0941
H82.14901.08472.14983.39653.86473.38762.72522.47164.29194.94844.28423.15032.47853.7073
H93.40482.14841.08372.15113.39153.86364.67692.47162.48134.28974.94845.11414.75155.4943
H103.89183.39762.15291.08332.15293.39765.40354.29192.48132.48134.29195.86305.89195.8919
H113.40483.86363.39152.15111.08372.14844.67694.94844.28972.48132.47165.11415.49434.7515
H122.14903.38763.86473.39652.14981.08472.72524.28424.94844.29192.47163.15033.70732.4785
H132.15563.04624.29294.80154.29293.04621.09693.15035.11415.86305.11413.15031.77221.7722
H142.16092.68754.06054.82814.55623.38941.09412.47854.75155.89195.49433.70731.77221.7742
H152.16093.38944.55624.82814.06052.68751.09413.70735.49435.89194.75152.47851.77221.7742

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.778 C1 C2 H8 119.367
C1 C6 C5 120.778 C1 C6 H12 119.367
C1 C7 H13 110.424 C1 C7 H14 111.012
C1 C7 H15 111.012 C2 C1 C6 118.589
C2 C1 C7 120.700 C2 C3 C4 120.164
C2 C3 H9 119.801 C3 C2 H8 119.854
C3 C4 C5 119.527 C3 C4 H10 120.236
C4 C3 H9 120.035 C4 C5 C6 120.164
C4 C5 H11 120.035 C5 C4 H10 120.236
C5 C6 H12 119.854 C6 C1 C7 120.700
C6 C5 H11 119.801 H13 C7 H14 107.965
H13 C7 H15 107.965 H14 C7 H15 108.346
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.014      
2 C -0.217      
3 C -0.219      
4 C -0.226      
5 C -0.219      
6 C -0.217      
7 C -0.663      
8 H 0.213      
9 H 0.219      
10 H 0.219      
11 H 0.219      
12 H 0.213      
13 H 0.239      
14 H 0.226      
15 H 0.226      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.053 0.390 0.000 0.394
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.477 -0.140 0.000
y -0.140 -36.735 0.000
z 0.000 0.000 -37.369
Traceless
 xyz
x -9.425 -0.140 0.000
y -0.140 5.189 0.000
z 0.000 0.000 4.237
Polar
3z2-r28.473
x2-y2-9.743
xy-0.140
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.703 -0.092 0.000
y -0.092 12.632 0.000
z 0.000 0.000 10.972


<r2> (average value of r2) Å2
<r2> 200.496
(<r2>)1/2 14.160