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

using model chemistry: wB97X-D/6-31G

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/6-31G
 hartrees
Energy at 0K-231.974990
Energy at 298.15K 
HF Energy-231.974990
Nuclear repulsion energy207.825636
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/6-31G
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 3291 3291 6.50 250.96 0.03 0.06
2 A1 3181 3181 29.90 131.01 0.16 0.28
3 A1 1662 1662 0.10 27.53 0.08 0.14
4 A1 1202 1202 5.13 20.31 0.21 0.35
5 A1 1071 1071 2.09 14.50 0.73 0.84
6 A1 970 970 13.78 12.62 0.28 0.44
7 A1 885 885 0.25 7.09 0.74 0.85
8 A1 841 841 90.54 8.00 0.11 0.20
9 A1 403 403 5.03 12.27 0.63 0.78
10 A2 3251 3251 0.00 150.60 0.75 0.86
11 A2 1320 1320 0.00 4.24 0.75 0.86
12 A2 1247 1247 0.00 13.89 0.75 0.86
13 A2 986 986 0.00 0.00 0.75 0.86
14 A2 969 969 0.00 0.37 0.75 0.86
15 A2 809 809 0.00 4.95 0.75 0.86
16 A2 348 348 0.00 3.22 0.75 0.86
17 B1 3287 3287 43.10 51.98 0.75 0.86
18 B1 1634 1634 6.45 2.39 0.75 0.86
19 B1 1243 1243 0.19 3.07 0.75 0.86
20 B1 1126 1126 0.54 0.01 0.75 0.86
21 B1 1028 1028 0.25 9.84 0.75 0.86
22 B1 759 759 57.34 4.40 0.75 0.86
23 B2 3253 3253 21.58 39.57 0.75 0.86
24 B2 3171 3171 15.42 117.76 0.75 0.86
25 B2 1330 1330 35.19 0.00 0.75 0.86
26 B2 1197 1197 11.58 0.83 0.75 0.86
27 B2 1007 1007 2.33 1.21 0.75 0.86
28 B2 966 966 6.99 0.07 0.75 0.86
29 B2 856 856 11.30 2.37 0.75 0.86
30 B2 506 506 6.36 7.44 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21899.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21899.7 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/6-31G
ABC
0.25866 0.14796 0.11534

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.794 0.529
C2 0.000 -0.794 0.529
H3 0.000 1.365 1.457
H4 0.000 -1.365 1.457
C5 -1.308 0.672 -0.268
C6 1.308 0.672 -0.268
C7 1.308 -0.672 -0.268
C8 -1.308 -0.672 -0.268
H9 -1.951 1.421 -0.709
H10 1.951 1.421 -0.709
H11 1.951 -1.421 -0.709
H12 -1.951 -1.421 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58801.08952.35001.53661.53662.12012.12012.39482.39483.20133.2013
C21.58802.35001.08952.12012.12011.53661.53663.20133.20132.39482.3948
H31.08952.35002.73032.27302.27302.97252.97252.91622.91624.03284.0328
H42.35001.08952.73032.97252.97252.27302.27304.03284.03282.91622.9162
C51.53662.12012.27302.97252.61582.94071.34371.08173.37313.89832.2336
C61.53662.12012.27302.97252.61581.34372.94073.37311.08172.23363.8983
C72.12011.53662.97252.27302.94071.34372.61583.89832.23361.08173.3731
C82.12011.53662.97252.27301.34372.94072.61582.23363.89833.37311.0817
H92.39483.20132.91624.03281.08173.37313.89832.23363.90254.82762.8419
H102.39483.20132.91624.03283.37311.08172.23363.89833.90252.84194.8276
H113.20132.39484.03282.91623.89832.23361.08173.37314.82762.84193.9025
H123.20132.39484.03282.91622.23363.89833.37311.08172.84194.82763.9025

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 121.616 C1 C2 H7 85.441
C1 C2 H8 85.441 C1 C5 H8 94.559
C1 C5 H9 131.530 C1 C6 H7 94.559
C1 C6 H10 131.530 C2 C1 C3 121.616
C2 C1 C5 85.441 C2 C1 C6 85.441
C2 H7 C6 94.559 C2 H7 H11 131.530
C2 H8 C5 94.559 C2 H8 H12 131.530
C3 C1 C5 118.914 C3 C1 C6 118.914
C4 C2 H7 118.914 C4 C2 H8 118.914
C5 C1 C6 116.679 C5 H8 H12 133.830
C6 H7 H11 133.830 H7 C6 H10 133.830
H8 C5 H9 133.830
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.281      
2 C -0.281      
3 H 0.173      
4 H 0.173      
5 C -0.113      
6 C -0.113      
7 C -0.113      
8 C -0.113      
9 H 0.167      
10 H 0.167      
11 H 0.167      
12 H 0.167      


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 -0.029 0.029
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.767 0.000 0.000
y 0.000 -32.519 0.000
z 0.000 0.000 -35.571
Traceless
 xyz
x -0.722 0.000 0.000
y 0.000 2.651 0.000
z 0.000 0.000 -1.928
Polar
3z2-r2-3.857
x2-y2-2.249
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.998 0.000 0.000
y 0.000 9.261 0.000
z 0.000 0.000 5.462


<r2> (average value of r2) Å2
<r2> 119.244
(<r2>)1/2 10.920