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

using model chemistry: HSEh1PBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-230.576589
Energy at 298.15K 
HF Energy-230.576589
Nuclear repulsion energy207.747970
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 HSEh1PBE/3-21G
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 3286 3165 4.38 220.81 0.02 0.04
2 A1 3195 3078 14.61 110.98 0.18 0.31
3 A1 1629 1569 0.27 23.38 0.06 0.12
4 A1 1179 1136 7.99 19.04 0.22 0.36
5 A1 1049 1011 4.91 12.55 0.75 0.86
6 A1 951 916 7.92 11.52 0.26 0.41
7 A1 857 826 0.40 7.16 0.75 0.86
8 A1 834 803 88.54 6.93 0.10 0.19
9 A1 397 382 4.99 12.40 0.64 0.78
10 A2 3245 3126 0.00 131.35 0.75 0.86
11 A2 1292 1245 0.00 1.96 0.75 0.86
12 A2 1211 1166 0.00 14.17 0.75 0.86
13 A2 974 938 0.00 0.04 0.75 0.86
14 A2 936 902 0.00 0.10 0.75 0.86
15 A2 817 787 0.00 5.27 0.75 0.86
16 A2 356 343 0.00 3.34 0.75 0.86
17 B1 3281 3161 28.26 48.06 0.75 0.86
18 B1 1602 1543 5.11 2.52 0.75 0.86
19 B1 1206 1162 0.00 3.78 0.75 0.86
20 B1 1110 1069 0.51 0.35 0.75 0.86
21 B1 992 956 1.61 8.63 0.75 0.86
22 B1 751 724 66.59 3.15 0.75 0.86
23 B2 3247 3128 12.77 35.28 0.75 0.86
24 B2 3185 3069 6.69 108.86 0.75 0.86
25 B2 1309 1261 37.30 0.01 0.75 0.86
26 B2 1154 1111 13.76 0.74 0.75 0.86
27 B2 994 958 5.47 0.83 0.75 0.86
28 B2 973 937 1.75 0.05 0.75 0.86
29 B2 847 816 11.42 2.52 0.75 0.86
30 B2 499 481 5.90 7.17 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21679.3 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 20883.7 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 HSEh1PBE/3-21G
ABC
0.25264 0.14974 0.11721

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.802 0.556
C2 0.000 -0.802 0.556
H3 0.000 1.376 1.480
H4 0.000 -1.376 1.480
C5 -1.291 0.671 -0.278
C6 1.291 0.671 -0.278
C7 1.291 -0.671 -0.278
C8 -1.291 -0.671 -0.278
H9 -1.920 1.417 -0.741
H10 1.920 1.417 -0.741
H11 1.920 -1.417 -0.741
H12 -1.920 -1.417 -0.741

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.60371.08792.36611.54201.54202.12872.12872.39772.39773.20843.2084
C21.60372.36611.08792.12872.12871.54201.54203.20843.20842.39772.3977
H31.08792.36612.75292.29152.29152.99132.99132.93622.93624.05264.0526
H42.36611.08792.75292.99132.99132.29152.29154.05264.05262.93622.9362
C51.54202.12872.29152.99132.58152.90981.34281.08043.32913.85862.2300
C61.54202.12872.29152.99132.58151.34282.90983.32911.08042.23003.8586
C72.12871.54202.99132.29152.90981.34282.58153.85862.23001.08043.3291
C82.12871.54202.99132.29151.34282.90982.58152.23003.85863.32911.0804
H92.39773.20842.93624.05261.08043.32913.85862.23003.84104.77342.8341
H102.39773.20842.93624.05263.32911.08042.23003.85863.84102.83414.7734
H113.20842.39774.05262.93623.85862.23001.08043.32914.77342.83413.8410
H123.20842.39774.05262.93622.23003.85863.32911.08042.83414.77343.8410

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 121.883 C1 C2 H7 85.148
C1 C2 H8 85.148 C1 C5 H8 94.852
C1 C5 H9 131.404 C1 C6 H7 94.852
C1 C6 H10 131.404 C2 C1 C3 121.883
C2 C1 C5 85.148 C2 C1 C6 85.148
C2 H7 C6 94.852 C2 H7 H11 131.404
C2 H8 C5 94.852 C2 H8 H12 131.404
C3 C1 C5 120.243 C3 C1 C6 120.243
C4 C2 H7 120.243 C4 C2 H8 120.243
C5 C1 C6 113.661 C5 H8 H12 133.642
C6 H7 H11 133.642 H7 C6 H10 133.642
H8 C5 H9 133.642
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.344      
2 C -0.344      
3 H 0.222      
4 H 0.222      
5 C -0.141      
6 C -0.141      
7 C -0.141      
8 C -0.141      
9 H 0.203      
10 H 0.203      
11 H 0.203      
12 H 0.203      


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 -0.050 0.050
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.241 0.000 0.000
y 0.000 -32.607 0.000
z 0.000 0.000 -35.884
Traceless
 xyz
x -0.995 0.000 0.000
y 0.000 2.956 0.000
z 0.000 0.000 -1.960
Polar
3z2-r2-3.921
x2-y2-2.634
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.563 0.000 0.000
y 0.000 8.822 0.000
z 0.000 0.000 5.160


<r2> (average value of r2) Å2
<r2> 118.823
(<r2>)1/2 10.901