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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G**
 hartrees
Energy at 0K-232.124133
Energy at 298.15K 
HF Energy-232.124133
Nuclear repulsion energy208.398967
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 B3LYPultrafine/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 3222 3096 9.00 281.29 0.03 0.07
2 A1 3108 2986 38.77 147.62 0.15 0.25
3 A1 1647 1582 0.04 26.90 0.06 0.11
4 A1 1188 1142 3.83 18.17 0.24 0.38
5 A1 1044 1003 2.59 17.56 0.74 0.85
6 A1 949 912 6.67 12.11 0.26 0.41
7 A1 876 842 0.13 7.07 0.73 0.85
8 A1 818 786 61.77 6.28 0.14 0.25
9 A1 393 377 3.06 13.40 0.64 0.78
10 A2 3188 3063 0.00 173.75 0.75 0.86
11 A2 1301 1250 0.00 5.66 0.75 0.86
12 A2 1211 1163 0.00 13.94 0.75 0.86
13 A2 961 924 0.00 0.34 0.75 0.86
14 A2 934 897 0.00 0.08 0.75 0.86
15 A2 790 759 0.00 3.74 0.75 0.86
16 A2 339 326 0.00 2.79 0.75 0.86
17 B1 3219 3092 50.26 59.58 0.75 0.86
18 B1 1620 1557 10.10 2.27 0.75 0.86
19 B1 1219 1171 2.50 4.13 0.75 0.86
20 B1 1107 1064 0.01 0.12 0.75 0.86
21 B1 1004 965 0.32 9.91 0.75 0.86
22 B1 727 698 35.79 5.67 0.75 0.86
23 B2 3189 3064 30.35 45.49 0.75 0.86
24 B2 3101 2979 19.62 121.88 0.75 0.86
25 B2 1309 1258 32.87 0.03 0.75 0.86
26 B2 1171 1125 4.41 0.90 0.75 0.86
27 B2 967 929 4.21 0.30 0.75 0.86
28 B2 935 898 5.69 0.28 0.75 0.86
29 B2 837 804 7.47 2.75 0.75 0.86
30 B2 492 473 6.16 6.99 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21431.4 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 20591.3 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 B3LYPultrafine/6-31G**
ABC
0.26190 0.14821 0.11562

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.787 0.521
C2 0.000 -0.787 0.521
H3 0.000 1.352 1.457
H4 0.000 -1.352 1.457
C5 -1.308 0.670 -0.264
C6 1.308 0.670 -0.264
C7 1.308 -0.670 -0.264
C8 -1.308 -0.670 -0.264
H9 -1.956 1.420 -0.707
H10 1.956 1.420 -0.707
H11 1.956 -1.420 -0.707
H12 -1.956 -1.420 -0.707

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57361.09322.33431.53021.53022.10952.10952.39472.39473.19453.1945
C21.57362.33431.09322.10952.10951.53021.53023.19453.19452.39472.3947
H31.09322.33432.70332.26682.26682.95982.95982.91772.91774.02394.0239
H42.33431.09322.70332.95982.95982.26682.26684.02394.02392.91772.9177
C51.53022.10952.26682.95982.61672.93971.33981.08573.37863.90132.2326
C61.53022.10952.26682.95982.61671.33982.93973.37861.08572.23263.9013
C72.10951.53022.95982.26682.93971.33982.61673.90132.23261.08573.3786
C82.10951.53022.95982.26681.33982.93972.61672.23263.90133.37861.0857
H92.39473.19452.91774.02391.08573.37863.90132.23263.91194.83442.8406
H102.39473.19452.91774.02393.37861.08572.23263.90133.91192.84064.8344
H113.19452.39474.02392.91773.90132.23261.08573.37864.83442.84063.9119
H123.19452.39474.02392.91772.23263.90133.37861.08572.84064.83443.9119

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 121.111 C1 C2 H7 85.618
C1 C2 H8 85.618 C1 C5 H8 94.382
C1 C5 H9 131.796 C1 C6 H7 94.382
C1 C6 H10 131.796 C2 C1 C3 121.111
C2 C1 C5 85.618 C2 C1 C6 85.618
C2 H7 C6 94.382 C2 H7 H11 131.796
C2 H8 C5 94.382 C2 H8 H12 131.796
C3 C1 C5 118.600 C3 C1 C6 118.600
C4 C2 H7 118.600 C4 C2 H8 118.600
C5 C1 C6 117.517 C5 H8 H12 133.725
C6 H7 H11 133.725 H7 C6 H10 133.725
H8 C5 H9 133.725
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.146      
2 C -0.146      
3 H 0.099      
4 H 0.099      
5 C -0.057      
6 C -0.057      
7 C -0.057      
8 C -0.057      
9 H 0.080      
10 H 0.080      
11 H 0.080      
12 H 0.080      


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 -0.014 0.014
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.815 0.000 0.000
y 0.000 -32.679 0.000
z 0.000 0.000 -35.491
Traceless
 xyz
x -0.730 0.000 0.000
y 0.000 2.474 0.000
z 0.000 0.000 -1.744
Polar
3z2-r2-3.488
x2-y2-2.136
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.471 0.000 0.000
y 0.000 9.298 0.000
z 0.000 0.000 5.753


<r2> (average value of r2) Å2
<r2> 118.921
(<r2>)1/2 10.905