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

using model chemistry: wB97X-D/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-232.122973
Energy at 298.15K 
HF Energy-232.122973
Nuclear repulsion energy209.691542
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/Def2TZVPP
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 3237 3092 6.46 289.54 0.03 0.06
2 A1 3141 3000 25.65 154.46 0.11 0.20
3 A1 1660 1585 0.09 49.22 0.03 0.06
4 A1 1200 1146 5.25 25.01 0.13 0.23
5 A1 1051 1004 1.42 9.01 0.50 0.67
6 A1 967 923 8.09 11.40 0.25 0.39
7 A1 890 850 0.02 4.36 0.60 0.75
8 A1 828 790 80.62 5.75 0.04 0.08
9 A1 392 375 5.03 6.03 0.54 0.70
10 A2 3203 3060 0.00 155.54 0.75 0.86
11 A2 1311 1252 0.00 6.23 0.75 0.86
12 A2 1215 1161 0.00 9.79 0.75 0.86
13 A2 979 935 0.00 0.00 0.75 0.86
14 A2 959 916 0.00 1.55 0.75 0.86
15 A2 798 763 0.00 2.68 0.75 0.86
16 A2 343 328 0.00 1.53 0.75 0.86
17 B1 3234 3089 32.30 59.09 0.75 0.86
18 B1 1632 1559 12.54 0.60 0.75 0.86
19 B1 1223 1168 2.03 1.14 0.75 0.86
20 B1 1111 1061 0.37 0.02 0.75 0.86
21 B1 1015 969 0.14 6.78 0.75 0.86
22 B1 733 701 47.39 1.72 0.75 0.86
23 B2 3205 3061 21.84 41.52 0.75 0.86
24 B2 3134 2993 14.24 117.18 0.75 0.86
25 B2 1315 1256 39.98 0.01 0.75 0.86
26 B2 1177 1125 6.78 0.31 0.75 0.86
27 B2 994 949 1.71 1.76 0.75 0.86
28 B2 946 903 8.03 0.10 0.75 0.86
29 B2 850 812 12.95 0.68 0.75 0.86
30 B2 497 474 5.55 3.08 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21618.6 cm-1
Scaled (by 0.9552) Zero Point Vibrational Energy (zpe) 20650.0 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/Def2TZVPP
ABC
0.26431 0.15033 0.11742

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.522
C2 0.000 -0.782 0.522
H3 0.000 1.344 1.453
H4 0.000 -1.344 1.453
C5 -1.297 0.665 -0.264
C6 1.297 0.665 -0.264
C7 1.297 -0.665 -0.264
C8 -1.297 -0.665 -0.264
H9 -1.942 1.412 -0.707
H10 1.942 1.412 -0.707
H11 1.942 -1.412 -0.707
H12 -1.942 -1.412 -0.707

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56391.08742.32111.52151.52152.09672.09672.38312.38313.17733.1773
C21.56392.32111.08742.09672.09671.52151.52153.17733.17732.38312.3831
H31.08742.32112.68892.25672.25672.94462.94462.90552.90554.00434.0043
H42.32111.08742.68892.94462.94462.25672.25674.00434.00432.90552.9055
C51.52152.09672.25672.94462.59432.91571.33071.08123.35313.87312.2197
C61.52152.09672.25672.94462.59431.33072.91573.35311.08122.21973.8731
C72.09671.52152.94462.25672.91571.33072.59433.87312.21971.08123.3531
C82.09671.52152.94462.25671.33072.91572.59432.21973.87313.35311.0812
H92.38313.17732.90554.00431.08123.35313.87312.21973.88334.80152.8239
H102.38313.17732.90554.00433.35311.08122.21973.87313.88332.82394.8015
H113.17732.38314.00432.90553.87312.21971.08123.35314.80152.82393.8833
H123.17732.38314.00432.90552.21973.87313.35311.08122.82394.80153.8833

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 121.150 C1 C2 H7 85.605
C1 C2 H8 85.605 C1 C5 H8 94.395
C1 C5 H9 131.847 C1 C6 H7 94.395
C1 C6 H10 131.847 C2 C1 C3 121.150
C2 C1 C5 85.605 C2 C1 C6 85.605
C2 H7 C6 94.395 C2 H7 H11 131.847
C2 H8 C5 94.395 C2 H8 H12 131.847
C3 C1 C5 118.825 C3 C1 C6 118.825
C4 C2 H7 118.825 C4 C2 H8 118.825
C5 C1 C6 116.974 C5 H8 H12 133.668
C6 H7 H11 133.668 H7 C6 H10 133.668
H8 C5 H9 133.668
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.047      
2 C 0.047      
3 H 0.059      
4 H 0.059      
5 C -0.174      
6 C -0.174      
7 C -0.174      
8 C -0.174      
9 H 0.122      
10 H 0.122      
11 H 0.122      
12 H 0.122      


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 -0.040 0.040
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.570 0.000 0.000
y 0.000 -32.638 0.000
z 0.000 0.000 -36.051
Traceless
 xyz
x -1.225 0.000 0.000
y 0.000 3.172 0.000
z 0.000 0.000 -1.947
Polar
3z2-r2-3.894
x2-y2-2.932
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.721 0.000 0.000
y 0.000 10.058 0.000
z 0.000 0.000 7.275


<r2> (average value of r2) Å2
<r2> 117.895
(<r2>)1/2 10.858