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

using model chemistry: HF/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/6-31+G**
 hartrees
Energy at 0K-230.582652
Energy at 298.15K 
HF Energy-230.582652
Nuclear repulsion energy209.844881
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 HF/6-31+G**
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 3390 3065 8.26 230.16 0.04 0.08
2 A1 3267 2954 42.37 146.50 0.13 0.22
3 A1 1772 1603 0.37 87.47 0.02 0.05
4 A1 1306 1181 4.35 30.08 0.11 0.20
5 A1 1148 1038 0.57 13.75 0.36 0.53
6 A1 1030 931 31.08 12.35 0.26 0.42
7 A1 945 855 0.05 5.01 0.53 0.69
8 A1 893 808 95.69 8.88 0.07 0.12
9 A1 423 383 7.24 3.77 0.47 0.64
10 A2 3355 3033 0.00 152.78 0.75 0.86
11 A2 1434 1296 0.00 7.45 0.75 0.86
12 A2 1328 1201 0.00 8.22 0.75 0.86
13 A2 1056 955 0.00 1.23 0.75 0.86
14 A2 1028 929 0.00 1.70 0.75 0.86
15 A2 856 774 0.00 4.65 0.75 0.86
16 A2 362 328 0.00 1.61 0.75 0.86
17 B1 3388 3063 36.54 69.82 0.75 0.86
18 B1 1743 1576 17.57 0.33 0.75 0.86
19 B1 1352 1222 9.17 0.29 0.75 0.86
20 B1 1195 1081 0.31 0.02 0.75 0.86
21 B1 1079 975 1.35 9.32 0.75 0.86
22 B1 801 724 55.79 0.70 0.75 0.86
23 B2 3357 3035 28.52 43.54 0.75 0.86
24 B2 3258 2946 27.54 122.69 0.75 0.86
25 B2 1428 1291 42.73 0.02 0.75 0.86
26 B2 1291 1168 7.73 0.32 0.75 0.86
27 B2 1079 975 3.01 5.18 0.75 0.86
28 B2 1022 924 6.64 0.01 0.75 0.86
29 B2 915 828 10.60 0.71 0.75 0.86
30 B2 542 490 7.13 3.06 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 23019.8 cm-1
Scaled (by 0.9042) Zero Point Vibrational Energy (zpe) 20814.5 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 HF/6-31+G**
ABC
0.26619 0.14967 0.11726

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.778 0.523
C2 0.000 -0.778 0.523
H3 0.000 1.347 1.444
H4 0.000 -1.347 1.444
C5 -1.301 0.663 -0.265
C6 1.301 0.663 -0.265
C7 1.301 -0.663 -0.265
C8 -1.301 -0.663 -0.265
H9 -1.948 1.403 -0.701
H10 1.948 1.403 -0.701
H11 1.948 -1.403 -0.701
H12 -1.948 -1.403 -0.701

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.55671.08262.31631.52501.52502.09522.09522.38332.38333.16983.1698
C21.55672.31631.08262.09522.09521.52501.52503.16983.16982.38332.3833
H31.08262.31632.69362.25382.25382.94132.94132.89772.89773.99423.9942
H42.31631.08262.69362.94132.94132.25382.25383.99423.99422.89772.8977
C51.52502.09522.25382.94132.60192.92031.32601.07503.36013.87442.2081
C61.52502.09522.25382.94132.60191.32602.92033.36011.07502.20813.8744
C72.09521.52502.94132.25382.92031.32602.60193.87442.20811.07503.3601
C82.09521.52502.94132.25381.32602.92032.60192.20813.87443.36011.0750
H92.38333.16982.89773.99421.07503.36013.87442.20813.89524.80032.8055
H102.38333.16982.89773.99423.36011.07502.20813.87443.89522.80554.8003
H113.16982.38333.99422.89773.87442.20811.07503.36014.80032.80553.8952
H123.16982.38333.99422.89772.20813.87443.36011.07502.80554.80033.8952

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 121.672 C1 C2 H7 85.661
C1 C2 H8 85.661 C1 C5 H8 94.339
C1 C5 H9 132.111 C1 C6 H7 94.339
C1 C6 H10 132.111 C2 C1 C3 121.672
C2 C1 C5 85.661 C2 C1 C6 85.661
C2 H7 C6 94.339 C2 H7 H11 132.111
C2 H8 C5 94.339 C2 H8 H12 132.111
C3 C1 C5 118.626 C3 C1 C6 118.626
C4 C2 H7 118.626 C4 C2 H8 118.626
C5 C1 C6 117.099 C5 H8 H12 133.482
C6 H7 H11 133.482 H7 C6 H10 133.482
H8 C5 H9 133.482
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.032      
2 C 0.032      
3 H 0.143      
4 H 0.143      
5 C -0.239      
6 C -0.239      
7 C -0.239      
8 C -0.239      
9 H 0.152      
10 H 0.152      
11 H 0.152      
12 H 0.152      


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 -0.095 0.095
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.472 0.000 0.000
y 0.000 -33.051 0.000
z 0.000 0.000 -37.011
Traceless
 xyz
x -1.441 0.000 0.000
y 0.000 3.691 0.000
z 0.000 0.000 -2.250
Polar
3z2-r2-4.499
x2-y2-3.421
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.218 0.000 0.000
y 0.000 10.017 0.000
z 0.000 0.000 6.964


<r2> (average value of r2) Å2
<r2> 118.384
(<r2>)1/2 10.880