return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-231.827174
Energy at 298.15K 
HF Energy-231.827174
Nuclear repulsion energy207.886429
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 PBEPBE/6-31G(2df,p)
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 3149 3116 9.03 291.42 0.04 0.07
2 A1 3039 3008 29.46 149.12 0.13 0.24
3 A1 1588 1571 0.06 29.43 0.05 0.09
4 A1 1149 1137 4.30 17.66 0.21 0.35
5 A1 1000 990 2.70 15.18 0.74 0.85
6 A1 928 919 2.61 12.14 0.23 0.37
7 A1 861 852 0.28 6.83 0.69 0.82
8 A1 799 791 58.84 5.45 0.12 0.21
9 A1 379 375 2.93 11.85 0.62 0.77
10 A2 3113 3081 0.00 180.71 0.75 0.86
11 A2 1241 1228 0.00 5.50 0.75 0.86
12 A2 1143 1131 0.00 13.76 0.75 0.86
13 A2 938 928 0.00 0.47 0.75 0.86
14 A2 888 879 0.00 0.02 0.75 0.86
15 A2 764 756 0.00 2.91 0.75 0.86
16 A2 329 325 0.00 2.27 0.75 0.86
17 B1 3145 3113 47.61 63.30 0.75 0.86
18 B1 1561 1545 10.92 2.17 0.75 0.86
19 B1 1153 1141 1.12 4.17 0.75 0.86
20 B1 1072 1061 0.00 0.05 0.75 0.86
21 B1 984 973 0.02 8.71 0.75 0.86
22 B1 706 698 36.06 4.77 0.75 0.86
23 B2 3114 3082 28.80 46.01 0.75 0.86
24 B2 3032 3000 15.92 121.46 0.75 0.86
25 B2 1253 1240 34.22 0.05 0.75 0.86
26 B2 1111 1100 2.18 0.75 0.75 0.86
27 B2 926 916 4.66 0.07 0.75 0.86
28 B2 894 885 5.74 0.45 0.75 0.86
29 B2 806 798 8.59 2.34 0.75 0.86
30 B2 471 466 5.34 6.03 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20766.4 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 20552.5 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 PBEPBE/6-31G(2df,p)
ABC
0.25949 0.14814 0.11531

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.788 0.523
C2 0.000 -0.788 0.523
H3 0.000 1.356 1.465
H4 0.000 -1.356 1.465
C5 -1.308 0.674 -0.265
C6 1.308 0.674 -0.265
C7 1.308 -0.674 -0.265
C8 -1.308 -0.674 -0.265
H9 -1.954 1.433 -0.711
H10 1.954 1.433 -0.711
H11 1.954 -1.433 -0.711
H12 -1.954 -1.433 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57681.09982.34191.53101.53102.11382.11382.39922.39923.20543.2054
C21.57682.34191.09982.11382.11381.53101.53103.20543.20542.39922.3992
H31.09982.34192.71102.27322.27322.96992.96992.92572.92574.04094.0409
H42.34191.09982.71102.96992.96992.27322.27324.04094.04092.92572.9257
C51.53102.11382.27322.96992.61592.94251.34731.09233.37883.90862.2481
C61.53102.11382.27322.96992.61591.34732.94253.37881.09232.24813.9086
C72.11381.53102.96992.27322.94251.34732.61593.90862.24811.09233.3788
C82.11381.53102.96992.27321.34732.94252.61592.24813.90863.37881.0923
H92.39923.20542.92574.04091.09233.37883.90862.24813.90814.84622.8657
H102.39923.20542.92574.04093.37881.09232.24813.90863.90812.86574.8462
H113.20542.39924.04092.92573.90862.24811.09233.37884.84622.86573.9081
H123.20542.39924.04092.92572.24813.90863.37881.09232.86574.84623.9081

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 121.039 C1 C2 H7 85.702
C1 C2 H8 85.702 C1 C5 H8 94.298
C1 C5 H9 131.563 C1 C6 H7 94.298
C1 C6 H10 131.563 C2 C1 C3 121.039
C2 C1 C5 85.702 C2 C1 C6 85.702
C2 H7 C6 94.298 C2 H7 H11 131.563
C2 H8 C5 94.298 C2 H8 H12 131.563
C3 C1 C5 118.639 C3 C1 C6 118.639
C4 C2 H7 118.639 C4 C2 H8 118.639
C5 C1 C6 117.374 C5 H8 H12 134.030
C6 H7 H11 134.030 H7 C6 H10 134.030
H8 C5 H9 134.030
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.113      
2 C -0.113      
3 H 0.095      
4 H 0.095      
5 C -0.094      
6 C -0.094      
7 C -0.094      
8 C -0.094      
9 H 0.103      
10 H 0.103      
11 H 0.103      
12 H 0.103      


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 -0.009 0.009
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.772 0.000 0.000
y 0.000 -32.517 0.000
z 0.000 0.000 -35.321
Traceless
 xyz
x -0.853 0.000 0.000
y 0.000 2.529 0.000
z 0.000 0.000 -1.676
Polar
3z2-r2-3.352
x2-y2-2.255
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.098 0.000 0.000
y 0.000 9.475 0.000
z 0.000 0.000 6.236


<r2> (average value of r2) Å2
<r2> 119.207
(<r2>)1/2 10.918