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

using model chemistry: BLYP/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 BLYP/6-31+G**
 hartrees
Energy at 0K-232.020188
Energy at 298.15K 
HF Energy-232.020188
Nuclear repulsion energy206.555544
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 BLYP/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 3132 3116 12.24 337.36 0.04 0.08
2 A1 3022 3006 37.49 180.31 0.12 0.21
3 A1 1566 1557 0.15 64.95 0.01 0.02
4 A1 1134 1128 4.85 31.66 0.12 0.21
5 A1 1000 994 2.88 8.90 0.69 0.82
6 A1 904 899 6.69 9.44 0.23 0.38
7 A1 831 826 0.29 4.70 0.60 0.75
8 A1 780 776 83.94 5.26 0.02 0.04
9 A1 377 375 5.88 6.05 0.52 0.68
10 A2 3099 3083 0.00 213.58 0.75 0.86
11 A2 1239 1232 0.00 6.20 0.75 0.86
12 A2 1165 1158 0.00 12.75 0.75 0.86
13 A2 916 911 0.00 1.13 0.75 0.86
14 A2 886 881 0.00 3.09 0.75 0.86
15 A2 762 758 0.00 2.39 0.75 0.86
16 A2 326 324 0.00 1.18 0.75 0.86
17 B1 3129 3112 56.08 93.29 0.75 0.86
18 B1 1539 1531 18.43 0.07 0.75 0.86
19 B1 1163 1157 1.92 3.30 0.75 0.86
20 B1 1065 1059 0.32 0.40 0.75 0.86
21 B1 959 954 0.36 6.31 0.75 0.86
22 B1 689 685 50.06 1.72 0.75 0.86
23 B2 3101 3085 38.21 58.30 0.75 0.86
24 B2 3016 3000 21.07 144.04 0.75 0.86
25 B2 1256 1250 35.91 0.01 0.75 0.86
26 B2 1121 1115 6.88 0.23 0.75 0.86
27 B2 921 917 5.80 1.24 0.75 0.86
28 B2 899 894 3.60 1.32 0.75 0.86
29 B2 794 790 10.20 0.43 0.75 0.86
30 B2 468 466 4.38 3.76 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20629.0 cm-1
Scaled (by 0.9947) Zero Point Vibrational Energy (zpe) 20519.7 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 BLYP/6-31+G**
ABC
0.25694 0.14582 0.11354

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.796 0.524
C2 0.000 -0.796 0.524
H3 0.000 1.365 1.466
H4 0.000 -1.365 1.466
C5 -1.320 0.677 -0.266
C6 1.320 0.677 -0.266
C7 1.320 -0.677 -0.266
C8 -1.320 -0.677 -0.266
H9 -1.971 1.433 -0.712
H10 1.971 1.433 -0.712
H11 1.971 -1.433 -0.712
H12 -1.971 -1.433 -0.712

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.59211.10062.35781.54261.54262.12962.12962.41232.41233.22213.2221
C21.59212.35781.10062.12962.12961.54261.54263.22213.22212.41232.4123
H31.10062.35782.73102.28372.28372.98542.98542.93852.93854.05724.0572
H42.35781.10062.73102.98542.98542.28372.28374.05724.05722.93852.9385
C51.54262.12962.28372.98542.63912.96611.35401.09323.40563.93432.2528
C61.54262.12962.28372.98542.63911.35402.96613.40561.09322.25283.9343
C72.12961.54262.98542.28372.96611.35402.63913.93432.25281.09323.4056
C82.12961.54262.98542.28371.35402.96612.63912.25283.93433.40561.0932
H92.41233.22212.93854.05721.09323.40563.93432.25283.94214.87372.8658
H102.41233.22212.93854.05723.40561.09322.25283.93433.94212.86584.8737
H113.22212.41234.05722.93853.93432.25281.09323.40564.87372.86583.9421
H123.22212.41234.05722.93852.25283.93433.40561.09322.86584.87373.9421

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 121.155 C1 C2 H7 85.573
C1 C2 H8 85.573 C1 C5 H8 94.427
C1 C5 H9 131.722 C1 C6 H7 94.427
C1 C6 H10 131.722 C2 C1 C3 121.155
C2 C1 C5 85.573 C2 C1 C6 85.573
C2 H7 C6 94.427 C2 H7 H11 131.722
C2 H8 C5 94.427 C2 H8 H12 131.722
C3 C1 C5 118.573 C3 C1 C6 118.573
C4 C2 H7 118.573 C4 C2 H8 118.573
C5 C1 C6 117.603 C5 H8 H12 133.748
C6 H7 H11 133.748 H7 C6 H10 133.748
H8 C5 H9 133.748
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.089      
2 C -0.089      
3 H 0.133      
4 H 0.133      
5 C -0.130      
6 C -0.130      
7 C -0.130      
8 C -0.130      
9 H 0.108      
10 H 0.108      
11 H 0.108      
12 H 0.108      


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 -0.008 0.008
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.815 0.000 0.000
y 0.000 -33.727 0.000
z 0.000 0.000 -37.103
Traceless
 xyz
x -1.400 0.000 0.000
y 0.000 3.232 0.000
z 0.000 0.000 -1.833
Polar
3z2-r2-3.665
x2-y2-3.088
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.907 0.000 0.000
y 0.000 10.751 0.000
z 0.000 0.000 7.854


<r2> (average value of r2) Å2
<r2> 121.607
(<r2>)1/2 11.028