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

using model chemistry: HSEh1PBE/6-311G*

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/6-311G*
 hartrees
Energy at 0K-231.899353
Energy at 298.15K 
HF Energy-231.899353
Nuclear repulsion energy209.410929
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/6-311G*
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 3225 3095 10.38 285.53 0.04 0.07
2 A1 3121 2995 40.83 158.98 0.14 0.25
3 A1 1651 1585 0.14 33.92 0.06 0.10
4 A1 1196 1148 5.90 20.21 0.16 0.27
5 A1 1044 1002 1.78 10.48 0.67 0.80
6 A1 967 928 5.53 9.65 0.29 0.45
7 A1 892 856 0.04 5.21 0.68 0.81
8 A1 819 786 85.61 5.02 0.09 0.16
9 A1 391 375 5.69 10.01 0.62 0.76
10 A2 3190 3061 0.00 179.40 0.75 0.86
11 A2 1305 1252 0.00 7.45 0.75 0.86
12 A2 1208 1159 0.00 10.14 0.75 0.86
13 A2 974 935 0.00 0.31 0.75 0.86
14 A2 932 895 0.00 0.79 0.75 0.86
15 A2 793 761 0.00 2.45 0.75 0.86
16 A2 340 326 0.00 2.16 0.75 0.86
17 B1 3222 3092 51.95 70.86 0.75 0.86
18 B1 1624 1558 9.56 1.71 0.75 0.86
19 B1 1220 1171 1.43 1.91 0.75 0.86
20 B1 1109 1064 0.44 0.10 0.75 0.86
21 B1 1016 975 0.01 7.04 0.75 0.86
22 B1 721 692 50.53 3.96 0.75 0.86
23 B2 3191 3062 38.58 47.13 0.75 0.86
24 B2 3113 2988 18.20 130.57 0.75 0.86
25 B2 1307 1254 40.64 0.01 0.75 0.86
26 B2 1169 1122 6.12 0.63 0.75 0.86
27 B2 966 927 2.48 1.10 0.75 0.86
28 B2 938 900 8.46 0.51 0.75 0.86
29 B2 844 810 13.18 1.10 0.75 0.86
30 B2 492 472 5.66 5.25 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21489.6 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 20621.4 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 HSEh1PBE/6-311G*
ABC
0.26360 0.15008 0.11709

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.520
C2 0.000 -0.782 0.520
H3 0.000 1.341 1.458
H4 0.000 -1.341 1.458
C5 -1.299 0.668 -0.264
C6 1.299 0.668 -0.264
C7 1.299 -0.668 -0.264
C8 -1.299 -0.668 -0.264
H9 -1.944 1.418 -0.709
H10 1.944 1.418 -0.709
H11 1.944 -1.418 -0.709
H12 -1.944 -1.418 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56381.09202.32101.52121.52122.09812.09812.38662.38663.18293.1829
C21.56382.32101.09202.09812.09811.52121.52123.18293.18292.38662.3866
H31.09202.32102.68232.25942.25942.94732.94732.91272.91274.01134.0113
H42.32101.09202.68232.94732.94732.25942.25944.01134.01132.91272.9127
C51.52122.09812.25942.94732.59712.92021.33531.08543.35793.88102.2282
C61.52122.09812.25942.94732.59711.33532.92023.35791.08542.22823.8810
C72.09811.52122.94732.25942.92021.33532.59713.88102.22821.08543.3579
C82.09811.52122.94732.25941.33532.92022.59712.22823.88103.35791.0854
H92.38663.18292.91274.01131.08543.35793.88102.22823.88814.81242.8358
H102.38663.18292.91274.01133.35791.08542.22823.88103.88812.83584.8124
H113.18292.38664.01132.91273.88102.22821.08543.35794.81242.83583.8881
H123.18292.38664.01132.91272.22823.88103.35791.08542.83584.81243.8881

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 120.806 C1 C2 H7 85.692
C1 C2 H8 85.692 C1 C5 H8 94.308
C1 C5 H9 131.865 C1 C6 H7 94.308
C1 C6 H10 131.865 C2 C1 C3 120.806
C2 C1 C5 85.692 C2 C1 C6 85.692
C2 H7 C6 94.308 C2 H7 H11 131.865
C2 H8 C5 94.308 C2 H8 H12 131.865
C3 C1 C5 118.762 C3 C1 C6 118.762
C4 C2 H7 118.762 C4 C2 H8 118.762
C5 C1 C6 117.218 C5 H8 H12 133.724
C6 H7 H11 133.724 H7 C6 H10 133.724
H8 C5 H9 133.724
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.282      
2 C -0.282      
3 H 0.223      
4 H 0.223      
5 C -0.162      
6 C -0.162      
7 C -0.162      
8 C -0.162      
9 H 0.192      
10 H 0.192      
11 H 0.192      
12 H 0.192      


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 -0.044 0.044
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.342 0.000 0.000
y 0.000 -32.709 0.000
z 0.000 0.000 -36.084
Traceless
 xyz
x -0.945 0.000 0.000
y 0.000 3.004 0.000
z 0.000 0.000 -2.059
Polar
3z2-r2-4.117
x2-y2-2.633
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.991 0.000 0.000
y 0.000 9.624 0.000
z 0.000 0.000 6.336


<r2> (average value of r2) Å2
<r2> 118.124
(<r2>)1/2 10.868