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All results from a given calculation for C6H6 (Dewar Benzene)

using model chemistry: wB97X-D/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-232.117849
Energy at 298.15K 
HF Energy-232.117849
Nuclear repulsion energy209.696013
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 wB97X-D/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3232 3092 7.50 299.65 0.03 0.06
2 A1 3135 2999 27.22 159.27 0.11 0.19
3 A1 1657 1585 0.13 70.40 0.01 0.02
4 A1 1197 1145 4.98 27.88 0.11 0.20
5 A1 1049 1004 1.43 8.86 0.41 0.58
6 A1 965 923 8.25 13.39 0.23 0.37
7 A1 887 849 0.08 3.94 0.42 0.59
8 A1 826 790 81.21 4.63 0.05 0.09
9 A1 392 375 5.26 3.84 0.51 0.67
10 A2 3198 3059 0.00 158.94 0.75 0.86
11 A2 1308 1251 0.00 5.94 0.75 0.86
12 A2 1214 1162 0.00 8.93 0.75 0.86
13 A2 977 934 0.00 0.01 0.75 0.86
14 A2 957 915 0.00 1.88 0.75 0.86
15 A2 798 763 0.00 2.25 0.75 0.86
16 A2 342 327 0.00 0.82 0.75 0.86
17 B1 3229 3089 34.10 62.15 0.75 0.86
18 B1 1629 1559 14.40 0.03 0.75 0.86
19 B1 1221 1168 2.11 1.21 0.75 0.86
20 B1 1110 1062 0.39 0.00 0.75 0.86
21 B1 1013 969 0.21 6.02 0.75 0.86
22 B1 732 700 47.99 0.64 0.75 0.86
23 B2 3200 3061 24.14 42.36 0.75 0.86
24 B2 3128 2993 15.29 115.50 0.75 0.86
25 B2 1313 1256 40.09 0.00 0.75 0.86
26 B2 1176 1125 6.98 0.20 0.75 0.86
27 B2 991 948 1.81 2.02 0.75 0.86
28 B2 946 904 7.75 0.05 0.75 0.86
29 B2 849 812 12.75 0.34 0.75 0.86
30 B2 496 475 5.37 2.12 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21583.5 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 20646.8 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 wB97X-D/aug-cc-pVTZ
ABC
0.26420 0.15037 0.11746

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.523
C2 0.000 -0.782 0.523
H3 0.000 1.345 1.453
H4 0.000 -1.345 1.453
C5 -1.297 0.665 -0.265
C6 1.297 0.665 -0.265
C7 1.297 -0.665 -0.265
C8 -1.297 -0.665 -0.265
H9 -1.941 1.412 -0.708
H10 1.941 1.412 -0.708
H11 1.941 -1.412 -0.708
H12 -1.941 -1.412 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56451.08712.32171.52171.52172.09692.09692.38272.38273.17723.1772
C21.56452.32171.08712.09692.09691.52171.52173.17723.17722.38272.3827
H31.08712.32172.69002.25692.25692.94502.94502.90512.90514.00444.0044
H42.32171.08712.69002.94502.94502.25692.25694.00444.00442.90512.9051
C51.52172.09692.25692.94502.59372.91511.33061.08083.35193.87192.2192
C61.52172.09692.25692.94502.59371.33062.91513.35191.08082.21923.8719
C72.09691.52172.94502.25692.91511.33062.59373.87192.21921.08083.3519
C82.09691.52172.94502.25691.33062.91512.59372.21923.87193.35191.0808
H92.38273.17722.90514.00441.08083.35193.87192.21923.88124.79952.8234
H102.38273.17722.90514.00443.35191.08082.21923.87193.88122.82344.7995
H113.17722.38274.00442.90513.87192.21921.08083.35194.79952.82343.8812
H123.17722.38274.00442.90512.21923.87193.35191.08082.82344.79953.8812

picture of Dewar Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 121.177 C1 C2 H7 85.593
C1 C2 H8 85.593 C1 C5 H8 94.407
C1 C5 H9 131.823 C1 C6 H7 94.407
C1 C6 H10 131.823 C2 C1 C3 121.177
C2 C1 C5 85.593 C2 C1 C6 85.593
C2 H7 C6 94.407 C2 H7 H11 131.823
C2 H8 C5 94.407 C2 H8 H12 131.823
C3 C1 C5 118.848 C3 C1 C6 118.848
C4 C2 H7 118.848 C4 C2 H8 118.848
C5 C1 C6 116.918 C5 H8 H12 133.677
C6 H7 H11 133.677 H7 C6 H10 133.677
H8 C5 H9 133.677
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.003      
2 C 0.003      
3 H 0.388      
4 H 0.388      
5 C -0.637      
6 C -0.637      
7 C -0.637      
8 C -0.637      
9 H 0.442      
10 H 0.442      
11 H 0.442      
12 H 0.442      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.046 0.046
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.679 0.000 0.000
y 0.000 -32.634 0.000
z 0.000 0.000 -36.133
Traceless
 xyz
x -1.295 0.000 0.000
y 0.000 3.272 0.000
z 0.000 0.000 -1.977
Polar
3z2-r2-3.954
x2-y2-3.045
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.168 0.000 0.000
y 0.000 10.189 0.000
z 0.000 0.000 7.767


<r2> (average value of r2) Å2
<r2> 117.916
(<r2>)1/2 10.859