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

using model chemistry: HSEh1PBE/daug-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 HSEh1PBE/daug-cc-pVTZ
 hartrees
Energy at 0K-231.934788
Energy at 298.15K 
HF Energy-231.934788
Nuclear repulsion energy209.815140
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/daug-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 3221 3221 7.73 313.78 0.03 0.06
2 A1 3117 3117 25.20 169.44 0.10 0.19
3 A1 1643 1643 0.20 70.83 0.01 0.02
4 A1 1191 1191 5.24 29.41 0.10 0.18
5 A1 1039 1039 1.68 8.60 0.48 0.64
6 A1 965 965 6.12 11.97 0.25 0.40
7 A1 885 885 0.45 4.05 0.39 0.56
8 A1 825 825 81.44 3.76 0.03 0.06
9 A1 391 391 5.12 4.30 0.52 0.68
10 A2 3187 3187 0.00 170.64 0.75 0.86
11 A2 1298 1298 0.00 6.51 0.75 0.86
12 A2 1200 1200 0.00 9.68 0.75 0.86
13 A2 973 973 0.00 0.23 0.75 0.86
14 A2 949 949 0.00 1.70 0.75 0.86
15 A2 791 791 0.00 1.68 0.75 0.86
16 A2 340 340 0.00 0.79 0.75 0.86
17 B1 3218 3218 34.85 66.10 0.75 0.86
18 B1 1616 1616 13.99 0.09 0.75 0.86
19 B1 1207 1207 1.59 1.38 0.75 0.86
20 B1 1106 1106 0.37 0.00 0.75 0.86
21 B1 1014 1014 0.04 5.91 0.75 0.86
22 B1 729 729 47.46 1.01 0.75 0.86
23 B2 3189 3189 23.92 44.72 0.75 0.86
24 B2 3111 3111 14.13 121.48 0.75 0.86
25 B2 1306 1306 40.44 0.00 0.75 0.86
26 B2 1166 1166 6.82 0.16 0.75 0.86
27 B2 982 982 1.77 1.59 0.75 0.86
28 B2 936 936 8.29 0.17 0.75 0.86
29 B2 845 845 12.60 0.32 0.75 0.86
30 B2 490 490 5.02 2.23 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21466.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21466.0 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/daug-cc-pVTZ
ABC
0.26443 0.15075 0.11756

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.781 0.520
C2 0.000 -0.781 0.520
H3 0.000 1.343 1.453
H4 0.000 -1.343 1.453
C5 -1.295 0.666 -0.263
C6 1.295 0.666 -0.263
C7 1.295 -0.666 -0.263
C8 -1.295 -0.666 -0.263
H9 -1.940 1.415 -0.706
H10 1.940 1.415 -0.706
H11 1.940 -1.415 -0.706
H12 -1.940 -1.415 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56211.08932.32001.51841.51842.09462.09462.38132.38133.17663.1766
C21.56212.32001.08932.09462.09461.51841.51843.17663.17662.38132.3813
H31.08932.32002.68592.25462.25462.94332.94332.90402.90404.00424.0042
H42.32001.08932.68592.94332.94332.25462.25464.00424.00422.90402.9040
C51.51842.09462.25462.94332.59102.91361.33271.08273.35063.87272.2233
C61.51842.09462.25462.94332.59101.33272.91363.35061.08272.22333.8727
C72.09461.51842.94332.25462.91361.33272.59103.87272.22331.08273.3506
C82.09461.51842.94332.25461.33272.91362.59102.22333.87273.35061.0827
H92.38133.17662.90404.00421.08273.35063.87272.22333.88064.80282.8297
H102.38133.17662.90404.00423.35061.08272.22333.87273.88062.82974.8028
H113.17662.38134.00422.90403.87272.22331.08273.35064.80282.82973.8806
H123.17662.38134.00422.90402.22333.87273.35061.08272.82974.80283.8806

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 121.055 C1 C2 H7 85.668
C1 C2 H8 85.668 C1 C5 H8 94.332
C1 C5 H9 131.836 C1 C6 H7 94.332
C1 C6 H10 131.836 C2 C1 C3 121.055
C2 C1 C5 85.668 C2 C1 C6 85.668
C2 H7 C6 94.332 C2 H7 H11 131.836
C2 H8 C5 94.332 C2 H8 H12 131.836
C3 C1 C5 118.755 C3 C1 C6 118.755
C4 C2 H7 118.755 C4 C2 H8 118.755
C5 C1 C6 117.125 C5 H8 H12 133.739
C6 H7 H11 133.739 H7 C6 H10 133.739
H8 C5 H9 133.739
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.007      
2 C -0.007      
3 H 0.355      
4 H 0.355      
5 C -0.784      
6 C -0.784      
7 C -0.784      
8 C -0.784      
9 H 0.610      
10 H 0.610      
11 H 0.610      
12 H 0.610      


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 -0.028 0.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.881 0.000 0.000
y 0.000 -32.825 0.000
z 0.000 0.000 -36.266
Traceless
 xyz
x -1.336 0.000 0.000
y 0.000 3.248 0.000
z 0.000 0.000 -1.912
Polar
3z2-r2-3.825
x2-y2-3.056
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.387 0.000 0.000
y 0.000 10.257 0.000
z 0.000 0.000 7.821


<r2> (average value of r2) Å2
<r2> 117.915
(<r2>)1/2 10.859