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

using model chemistry: B2PLYP/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 B2PLYP/6-31G**
 hartrees
Energy at 0K-231.864522
Energy at 298.15K 
HF Energy-231.597551
Nuclear repulsion energy208.688211
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 B2PLYP/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 3260 3260 8.39 270.45 0.03 0.06
2 A1 3151 3151 35.06 140.71 0.15 0.25
3 A1 1636 1636 0.05 21.37 0.05 0.10
4 A1 1197 1197 3.61 18.32 0.22 0.36
5 A1 1057 1057 2.38 16.41 0.74 0.85
6 A1 965 965 6.48 12.10 0.25 0.40
7 A1 883 883 0.28 6.76 0.74 0.85
8 A1 824 824 63.66 6.06 0.14 0.25
9 A1 395 395 3.16 12.77 0.65 0.78
10 A2 3227 3227 0.00 163.55 0.75 0.86
11 A2 1319 1319 0.00 5.26 0.75 0.86
12 A2 1226 1226 0.00 12.85 0.75 0.86
13 A2 976 976 0.00 0.28 0.75 0.86
14 A2 927 927 0.00 0.05 0.75 0.86
15 A2 791 791 0.00 3.61 0.75 0.86
16 A2 335 335 0.00 2.78 0.75 0.86
17 B1 3257 3257 46.43 57.71 0.75 0.86
18 B1 1611 1611 8.85 2.01 0.75 0.86
19 B1 1239 1239 2.83 3.53 0.75 0.86
20 B1 1122 1122 0.00 0.02 0.75 0.86
21 B1 1022 1022 0.29 9.88 0.75 0.86
22 B1 732 732 37.90 5.28 0.75 0.86
23 B2 3229 3229 27.58 44.21 0.75 0.86
24 B2 3144 3144 17.66 114.69 0.75 0.86
25 B2 1325 1325 32.10 0.02 0.75 0.86
26 B2 1183 1183 4.97 0.95 0.75 0.86
27 B2 960 960 6.16 0.20 0.75 0.86
28 B2 934 934 4.82 0.48 0.75 0.86
29 B2 845 845 6.65 2.31 0.75 0.86
30 B2 493 493 6.06 6.80 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21631.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21631.5 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 B2PLYP/6-31G**
ABC
0.26152 0.14913 0.11616

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.786 0.522
C2 0.000 -0.786 0.522
H3 0.000 1.349 1.456
H4 0.000 -1.349 1.456
C5 -1.304 0.671 -0.264
C6 1.304 0.671 -0.264
C7 1.304 -0.671 -0.264
C8 -1.304 -0.671 -0.264
H9 -1.947 1.420 -0.710
H10 1.947 1.420 -0.710
H11 1.947 -1.420 -0.710
H12 -1.947 -1.420 -0.710

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57261.09042.33041.52651.52652.10762.10762.38962.38963.18993.1899
C21.57262.33041.09042.10762.10761.52651.52653.18993.18992.38962.3896
H31.09042.33042.69722.26202.26202.95612.95612.91362.91364.01844.0184
H42.33041.09042.69722.95612.95612.26202.26204.01844.01842.91362.9136
C51.52652.10762.26202.95612.60722.93271.34291.08303.36523.89072.2329
C61.52652.10762.26202.95612.60721.34292.93273.36521.08302.23293.8907
C72.10761.52652.95612.26202.93271.34292.60723.89072.23291.08303.3652
C82.10761.52652.95612.26201.34292.93272.60722.23293.89073.36521.0830
H92.38963.18992.91364.01841.08303.36523.89072.23293.89384.81912.8393
H102.38963.18992.91364.01843.36521.08302.23293.89073.89382.83934.8191
H113.18992.38964.01842.91363.89072.23291.08303.36524.81912.83933.8938
H123.18992.38964.01842.91362.23293.89073.36521.08302.83934.81913.8938

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 121.042 C1 C2 H7 85.684
C1 C2 H8 85.684 C1 C5 H8 94.316
C1 C5 H9 131.871 C1 C6 H7 94.316
C1 C6 H10 131.871 C2 C1 C3 121.042
C2 C1 C5 85.684 C2 C1 C6 85.684
C2 H7 C6 94.316 C2 H7 H11 131.871
C2 H8 C5 94.316 C2 H8 H12 131.871
C3 C1 C5 118.679 C3 C1 C6 118.679
C4 C2 H7 118.679 C4 C2 H8 118.679
C5 C1 C6 117.297 C5 H8 H12 133.699
C6 H7 H11 133.699 H7 C6 H10 133.699
H8 C5 H9 133.699
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.162      
2 C -0.162      
3 H 0.111      
4 H 0.111      
5 C -0.069      
6 C -0.069      
7 C -0.069      
8 C -0.069      
9 H 0.095      
10 H 0.095      
11 H 0.095      
12 H 0.095      


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 -0.034 0.034
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.080 0.000 0.000
y 0.000 -32.850 0.000
z 0.000 0.000 -35.658
Traceless
 xyz
x -0.826 0.000 0.000
y 0.000 2.518 0.000
z 0.000 0.000 -1.692
Polar
3z2-r2-3.385
x2-y2-2.230
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.298 0.000 0.000
y 0.000 9.160 0.000
z 0.000 0.000 5.687


<r2> (average value of r2) Å2
<r2> 118.649
(<r2>)1/2 10.893