return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: wB97X-D/daug-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/daug-cc-pVTZ
 hartrees
Energy at 0K-232.118133
Energy at 298.15K 
HF Energy-232.118133
Nuclear repulsion energy209.696513
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/daug-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 3232 7.45 299.69 0.03 0.06
2 A1 3135 3135 27.24 159.11 0.11 0.19
3 A1 1657 1657 0.13 70.21 0.01 0.02
4 A1 1197 1197 4.96 27.93 0.11 0.20
5 A1 1050 1050 1.47 8.86 0.41 0.58
6 A1 965 965 8.28 13.43 0.23 0.37
7 A1 887 887 0.09 3.94 0.42 0.59
8 A1 826 826 81.09 4.60 0.05 0.09
9 A1 392 392 5.27 3.86 0.51 0.67
10 A2 3198 3198 0.00 158.78 0.75 0.86
11 A2 1309 1309 0.00 5.90 0.75 0.86
12 A2 1214 1214 0.00 8.98 0.75 0.86
13 A2 977 977 0.00 0.00 0.75 0.86
14 A2 957 957 0.00 1.84 0.75 0.86
15 A2 798 798 0.00 2.23 0.75 0.86
16 A2 342 342 0.00 0.81 0.75 0.86
17 B1 3229 3229 34.05 61.77 0.75 0.86
18 B1 1630 1630 14.33 0.02 0.75 0.86
19 B1 1221 1221 2.10 1.20 0.75 0.86
20 B1 1110 1110 0.38 0.00 0.75 0.86
21 B1 1014 1014 0.21 6.02 0.75 0.86
22 B1 731 731 48.05 0.65 0.75 0.86
23 B2 3199 3199 24.17 42.02 0.75 0.86
24 B2 3128 3128 15.24 115.59 0.75 0.86
25 B2 1314 1314 40.10 0.00 0.75 0.86
26 B2 1177 1177 6.96 0.20 0.75 0.86
27 B2 992 992 1.80 1.97 0.75 0.86
28 B2 945 945 7.70 0.05 0.75 0.86
29 B2 849 849 12.81 0.34 0.75 0.86
30 B2 496 496 5.36 2.12 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21584.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21584.8 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/daug-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/daug-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
C11.56451.08712.32181.52171.52172.09692.09692.38272.38273.17723.1772
C21.56452.32181.08712.09692.09691.52171.52173.17723.17722.38272.3827
H31.08712.32182.69052.25682.25682.94502.94502.90512.90514.00444.0044
H42.32181.08712.69052.94502.94502.25682.25684.00444.00442.90512.9051
C51.52172.09692.25682.94502.59372.91511.33061.08083.35193.87192.2192
C61.52172.09692.25682.94502.59371.33062.91513.35191.08082.21923.8719
C72.09691.52172.94502.25682.91511.33062.59373.87192.21921.08083.3519
C82.09691.52172.94502.25681.33062.91512.59372.21923.87193.35191.0808
H92.38273.17722.90514.00441.08083.35193.87192.21923.88134.79962.8234
H102.38273.17722.90514.00443.35191.08082.21923.87193.88132.82344.7996
H113.17722.38274.00442.90513.87192.21921.08083.35194.79962.82343.8813
H123.17722.38274.00442.90512.21923.87193.35191.08082.82344.79963.8813

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 121.191 C1 C2 H7 85.592
C1 C2 H8 85.592 C1 C5 H8 94.408
C1 C5 H9 131.824 C1 C6 H7 94.408
C1 C6 H10 131.824 C2 C1 C3 121.191
C2 C1 C5 85.592 C2 C1 C6 85.592
C2 H7 C6 94.408 C2 H7 H11 131.824
C2 H8 C5 94.408 C2 H8 H12 131.824
C3 C1 C5 118.845 C3 C1 C6 118.845
C4 C2 H7 118.845 C4 C2 H8 118.845
C5 C1 C6 116.918 C5 H8 H12 133.676
C6 H7 H11 133.676 H7 C6 H10 133.676
H8 C5 H9 133.676
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.077      
2 C -0.077      
3 H 0.520      
4 H 0.520      
5 C -1.056      
6 C -1.056      
7 C -1.056      
8 C -1.056      
9 H 0.835      
10 H 0.835      
11 H 0.835      
12 H 0.835      


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 -0.045 0.045
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.683 0.000 0.000
y 0.000 -32.634 0.000
z 0.000 0.000 -36.126
Traceless
 xyz
x -1.303 0.000 0.000
y 0.000 3.270 0.000
z 0.000 0.000 -1.968
Polar
3z2-r2-3.935
x2-y2-3.049
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.173 0.000 0.000
y 0.000 10.189 0.000
z 0.000 0.000 7.770


<r2> (average value of r2) Å2
<r2> 117.915
(<r2>)1/2 10.859