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

using model chemistry: B3LYP/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/cc-pVDZ
 hartrees
Energy at 0K-232.128210
Energy at 298.15K 
HF Energy-232.128210
Nuclear repulsion energy207.868208
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 B3LYP/cc-pVDZ
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 3207 3110 8.15 321.61 0.04 0.07
2 A1 3094 3001 36.15 168.69 0.14 0.24
3 A1 1634 1585 0.04 31.78 0.06 0.11
4 A1 1172 1137 4.52 18.91 0.19 0.32
5 A1 1019 988 1.98 15.38 0.69 0.81
6 A1 943 915 5.29 13.51 0.28 0.44
7 A1 863 837 0.02 6.62 0.68 0.81
8 A1 809 785 63.27 5.44 0.17 0.29
9 A1 388 377 3.42 12.88 0.64 0.78
10 A2 3171 3076 0.00 196.63 0.75 0.86
11 A2 1280 1241 0.00 6.74 0.75 0.86
12 A2 1180 1145 0.00 12.98 0.75 0.86
13 A2 949 921 0.00 0.17 0.75 0.86
14 A2 928 900 0.00 0.14 0.75 0.86
15 A2 788 764 0.00 3.28 0.75 0.86
16 A2 338 328 0.00 2.40 0.75 0.86
17 B1 3203 3107 43.80 71.45 0.75 0.86
18 B1 1607 1559 9.90 2.24 0.75 0.86
19 B1 1192 1157 2.04 2.59 0.75 0.86
20 B1 1084 1052 0.11 0.02 0.75 0.86
21 B1 988 959 0.18 9.92 0.75 0.86
22 B1 715 694 36.03 5.32 0.75 0.86
23 B2 3173 3078 27.35 50.24 0.75 0.86
24 B2 3087 2995 17.73 136.28 0.75 0.86
25 B2 1285 1247 35.50 0.04 0.75 0.86
26 B2 1148 1113 4.08 0.89 0.75 0.86
27 B2 961 932 3.64 0.35 0.75 0.86
28 B2 932 904 5.75 0.21 0.75 0.86
29 B2 825 800 9.82 2.47 0.75 0.86
30 B2 490 475 5.63 6.49 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21226.6 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 20589.8 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 B3LYP/cc-pVDZ
ABC
0.26008 0.14776 0.11525

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.788 0.524
C2 0.000 -0.788 0.524
H3 0.000 1.358 1.464
H4 0.000 -1.358 1.464
C5 -1.309 0.672 -0.265
C6 1.309 0.672 -0.265
C7 1.309 -0.672 -0.265
C8 -1.309 -0.672 -0.265
H9 -1.963 1.425 -0.711
H10 1.963 1.425 -0.711
H11 1.963 -1.425 -0.711
H12 -1.963 -1.425 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57681.09982.34361.53261.53262.11382.11382.40492.40493.20613.2061
C21.57682.34361.09982.11382.11381.53261.53263.20613.20612.40492.4049
H31.09982.34362.71622.27492.27492.97082.97082.93102.93104.04164.0416
H42.34361.09982.71622.97082.97082.27492.27494.04164.04162.93102.9310
C51.53262.11382.27492.97082.61792.94271.34401.09293.38703.91192.2419
C61.53262.11382.27492.97082.61791.34402.94273.38701.09292.24193.9119
C72.11381.53262.97082.27492.94271.34402.61793.91192.24191.09293.3870
C82.11381.53262.97082.27491.34402.94272.61792.24193.91193.38701.0929
H92.40493.20612.93104.04161.09293.38703.91192.24193.92594.85182.8509
H102.40493.20612.93104.04163.38701.09292.24193.91193.92592.85094.8518
H113.20612.40494.04162.93103.91192.24191.09293.38704.85182.85093.9259
H123.20612.40494.04162.93102.24193.91193.38701.09292.85094.85183.9259

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 121.198 C1 C2 H7 85.644
C1 C2 H8 85.644 C1 C5 H8 94.356
C1 C5 H9 131.971 C1 C6 H7 94.356
C1 C6 H10 131.971 C2 C1 C3 121.198
C2 C1 C5 85.644 C2 C1 C6 85.644
C2 H7 C6 94.356 C2 H7 H11 131.971
C2 H8 C5 94.356 C2 H8 H12 131.971
C3 C1 C5 118.655 C3 C1 C6 118.655
C4 C2 H7 118.655 C4 C2 H8 118.655
C5 C1 C6 117.309 C5 H8 H12 133.585
C6 H7 H11 133.585 H7 C6 H10 133.585
H8 C5 H9 133.585
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.009      
2 C 0.009      
3 H -0.003      
4 H -0.003      
5 C 0.028      
6 C 0.028      
7 C 0.028      
8 C 0.028      
9 H -0.031      
10 H -0.031      
11 H -0.031      
12 H -0.031      


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 -0.011 0.011
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.469 0.000 0.000
y 0.000 -33.118 0.000
z 0.000 0.000 -36.078
Traceless
 xyz
x -0.871 0.000 0.000
y 0.000 2.656 0.000
z 0.000 0.000 -1.784
Polar
3z2-r2-3.569
x2-y2-2.351
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.977 0.000 0.000
y 0.000 9.707 0.000
z 0.000 0.000 6.172


<r2> (average value of r2) Å2
<r2> 119.723
(<r2>)1/2 10.942