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

using model chemistry: wB97X-D/SDD

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/SDD
 hartrees
Energy at 0K-231.998244
Energy at 298.15K 
HF Energy-231.998244
Nuclear repulsion energy207.035924
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/SDD
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 3302 3302 7.99 241.97 0.02 0.05
2 A1 3194 3194 44.57 126.93 0.12 0.21
3 A1 1640 1640 0.03 37.79 0.10 0.18
4 A1 1204 1204 5.99 30.08 0.13 0.23
5 A1 1066 1066 0.81 8.25 0.59 0.74
6 A1 975 975 16.65 14.92 0.21 0.35
7 A1 892 892 1.35 5.67 0.74 0.85
8 A1 835 835 119.01 6.91 0.03 0.06
9 A1 396 396 8.29 8.02 0.58 0.74
10 A2 3258 3258 0.00 119.92 0.75 0.86
11 A2 1311 1311 0.00 5.82 0.75 0.86
12 A2 1233 1233 0.00 10.97 0.75 0.86
13 A2 981 981 0.00 0.01 0.75 0.86
14 A2 966 966 0.00 2.35 0.75 0.86
15 A2 812 812 0.00 6.78 0.75 0.86
16 A2 344 344 0.00 3.28 0.75 0.86
17 B1 3298 3298 44.99 51.45 0.75 0.86
18 B1 1609 1609 12.51 1.89 0.75 0.86
19 B1 1230 1230 0.02 0.14 0.75 0.86
20 B1 1119 1119 3.42 1.36 0.75 0.86
21 B1 1035 1035 0.00 6.99 0.75 0.86
22 B1 752 752 70.01 1.10 0.75 0.86
23 B2 3260 3260 20.70 30.98 0.75 0.86
24 B2 3181 3181 15.99 101.55 0.75 0.86
25 B2 1316 1316 39.40 0.07 0.75 0.86
26 B2 1196 1196 9.81 0.28 0.75 0.86
27 B2 995 995 1.03 5.93 0.75 0.86
28 B2 969 969 6.73 0.00 0.75 0.86
29 B2 852 852 20.22 0.57 0.75 0.86
30 B2 501 501 5.42 5.62 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21861.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21861.4 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/SDD
ABC
0.25652 0.14688 0.11443

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.794 0.532
C2 0.000 -0.794 0.532
H3 0.000 1.368 1.458
H4 0.000 -1.368 1.458
C5 -1.313 0.677 -0.269
C6 1.313 0.677 -0.269
C7 1.313 -0.677 -0.269
C8 -1.313 -0.677 -0.269
H9 -1.957 1.427 -0.709
H10 1.957 1.427 -0.709
H11 1.957 -1.427 -0.709
H12 -1.957 -1.427 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58891.08912.35211.54261.54262.12872.12872.40232.40233.21023.2102
C21.58892.35211.08912.12872.12871.54261.54263.21023.21022.40232.4023
H31.08912.35212.73542.27692.27692.98142.98142.92072.92074.04194.0419
H42.35211.08912.73542.98142.98142.27692.27694.04194.04192.92072.9207
C51.54262.12872.27692.98142.62592.95451.35411.08203.38373.91332.2439
C61.54262.12872.27692.98142.62591.35412.95453.38371.08202.24393.9133
C72.12871.54262.98142.27692.95451.35412.62593.91332.24391.08203.3837
C82.12871.54262.98142.27691.35412.95452.62592.24393.91333.38371.0820
H92.40233.21022.92074.04191.08203.38373.91332.24393.91434.84412.8537
H102.40233.21022.92074.04193.38371.08202.24393.91333.91432.85374.8441
H113.21022.40234.04192.92073.91332.24391.08203.38374.84412.85373.9143
H123.21022.40234.04192.92072.24393.91333.38371.08202.85374.84413.9143

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 121.759 C1 C2 H7 85.636
C1 C2 H8 85.636 C1 C5 H8 94.364
C1 C5 H9 131.697 C1 C6 H7 94.364
C1 C6 H10 131.697 C2 C1 C3 121.759
C2 C1 C5 85.636 C2 C1 C6 85.636
C2 H7 C6 94.364 C2 H7 H11 131.697
C2 H8 C5 94.364 C2 H8 H12 131.697
C3 C1 C5 118.797 C3 C1 C6 118.797
C4 C2 H7 118.797 C4 C2 H8 118.797
C5 C1 C6 116.666 C5 H8 H12 133.868
C6 H7 H11 133.868 H7 C6 H10 133.868
H8 C5 H9 133.868
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.251      
2 C -0.251      
3 H 0.241      
4 H 0.241      
5 C -0.227      
6 C -0.227      
7 C -0.227      
8 C -0.227      
9 H 0.232      
10 H 0.232      
11 H 0.232      
12 H 0.232      


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 -0.022 0.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.185 0.000 0.000
y 0.000 -32.163 0.000
z 0.000 0.000 -35.932
Traceless
 xyz
x -1.138 0.000 0.000
y 0.000 3.395 0.000
z 0.000 0.000 -2.257
Polar
3z2-r2-4.514
x2-y2-3.022
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.181 0.000 0.000
y 0.000 9.441 0.000
z 0.000 0.000 5.634


<r2> (average value of r2) Å2
<r2> 120.057
(<r2>)1/2 10.957