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

using model chemistry: wB97X-D/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/cc-pVTZ
 hartrees
Energy at 0K-232.115859
Energy at 298.15K 
HF Energy-232.115859
Nuclear repulsion energy209.695869
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/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 3234 3092 7.15 284.86 0.04 0.07
2 A1 3137 2999 29.02 154.07 0.11 0.21
3 A1 1660 1587 0.08 41.64 0.05 0.09
4 A1 1199 1146 5.20 22.61 0.15 0.26
5 A1 1051 1005 1.56 9.54 0.58 0.73
6 A1 965 923 8.02 12.42 0.24 0.39
7 A1 889 849 0.01 4.77 0.62 0.77
8 A1 828 792 77.38 4.90 0.04 0.08
9 A1 393 376 4.79 7.18 0.58 0.73
10 A2 3200 3059 0.00 162.93 0.75 0.86
11 A2 1310 1253 0.00 5.98 0.75 0.86
12 A2 1216 1162 0.00 10.11 0.75 0.86
13 A2 979 935 0.00 0.00 0.75 0.86
14 A2 959 916 0.00 1.25 0.75 0.86
15 A2 799 764 0.00 2.79 0.75 0.86
16 A2 343 328 0.00 1.70 0.75 0.86
17 B1 3231 3089 35.86 68.40 0.75 0.86
18 B1 1633 1561 11.05 1.12 0.75 0.86
19 B1 1223 1169 2.07 1.02 0.75 0.86
20 B1 1111 1062 0.36 0.03 0.75 0.86
21 B1 1014 969 0.17 6.85 0.75 0.86
22 B1 735 702 45.39 2.43 0.75 0.86
23 B2 3201 3061 24.47 42.55 0.75 0.86
24 B2 3130 2993 15.59 121.79 0.75 0.86
25 B2 1315 1257 39.49 0.01 0.75 0.86
26 B2 1178 1126 6.45 0.52 0.75 0.86
27 B2 993 949 1.95 1.40 0.75 0.86
28 B2 946 905 7.72 0.08 0.75 0.86
29 B2 850 812 12.56 0.98 0.75 0.86
30 B2 497 475 5.72 3.77 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21609.2 cm-1
Scaled (by 0.956) Zero Point Vibrational Energy (zpe) 20658.4 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/cc-pVTZ
ABC
0.26437 0.15030 0.11741

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

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 1.345 1.452
H4 0.000 -1.345 1.452
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 -1.941 1.412 -0.707
H10 1.941 1.412 -0.707
H11 1.941 -1.412 -0.707
H12 -1.941 -1.412 -0.707

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56411.08712.32131.52171.52172.09682.09682.38272.38273.17703.1770
C21.56412.32131.08712.09682.09681.52171.52173.17703.17702.38272.3827
H31.08712.32132.68962.25672.25672.94462.94462.90482.90484.00394.0039
H42.32131.08712.68962.94462.94462.25672.25674.00394.00392.90482.9048
C51.52172.09682.25672.94462.59472.91591.33031.08083.35313.87292.2190
C61.52172.09682.25672.94462.59471.33032.91593.35311.08082.21903.8729
C72.09681.52172.94462.25672.91591.33032.59473.87292.21901.08083.3531
C82.09681.52172.94462.25671.33032.91592.59472.21903.87293.35311.0808
H92.38273.17702.90484.00391.08083.35313.87292.21903.88304.80092.8233
H102.38273.17702.90484.00393.35311.08082.21903.87293.88302.82334.8009
H113.17702.38274.00392.90483.87292.21901.08083.35314.80092.82333.8830
H123.17702.38274.00392.90482.21903.87293.35311.08082.82334.80093.8830

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 121.174 C1 C2 H7 85.595
C1 C2 H8 85.595 C1 C5 H8 94.405
C1 C5 H9 131.823 C1 C6 H7 94.405
C1 C6 H10 131.823 C2 C1 C3 121.174
C2 C1 C5 85.595 C2 C1 C6 85.595
C2 H7 C6 94.405 C2 H7 H11 131.823
C2 H8 C5 94.405 C2 H8 H12 131.823
C3 C1 C5 118.822 C3 C1 C6 118.822
C4 C2 H7 118.822 C4 C2 H8 118.822
C5 C1 C6 116.979 C5 H8 H12 133.682
C6 H7 H11 133.682 H7 C6 H10 133.682
H8 C5 H9 133.682
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.007      
2 C 0.007      
3 H 0.092      
4 H 0.092      
5 C -0.160      
6 C -0.160      
7 C -0.160      
8 C -0.160      
9 H 0.111      
10 H 0.111      
11 H 0.111      
12 H 0.111      


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 -35.390 0.000 0.000
y 0.000 -32.604 0.000
z 0.000 0.000 -35.941
Traceless
 xyz
x -1.118 0.000 0.000
y 0.000 3.061 0.000
z 0.000 0.000 -1.944
Polar
3z2-r2-3.887
x2-y2-2.786
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.418 0.000 0.000
y 0.000 9.921 0.000
z 0.000 0.000 6.900


<r2> (average value of r2) Å2
<r2> 117.828
(<r2>)1/2 10.855