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

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-231.753420
Energy at 298.15K 
HF Energy-231.753420
Nuclear repulsion energy206.359796
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
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 3193 3149 8.63 286.62 0.03 0.06
2 A1 3079 3036 32.72 144.82 0.16 0.28
3 A1 1584 1562 0.10 26.44 0.05 0.10
4 A1 1147 1131 4.77 20.44 0.24 0.38
5 A1 1016 1002 3.79 16.74 0.75 0.86
6 A1 926 913 6.22 10.97 0.26 0.41
7 A1 844 833 0.60 6.87 0.75 0.86
8 A1 804 793 81.35 6.77 0.09 0.17
9 A1 386 381 4.39 14.54 0.64 0.78
10 A2 3152 3109 0.00 174.51 0.75 0.86
11 A2 1257 1239 0.00 3.15 0.75 0.86
12 A2 1185 1168 0.00 16.86 0.75 0.86
13 A2 936 923 0.00 0.62 0.75 0.86
14 A2 909 897 0.00 0.20 0.75 0.86
15 A2 773 763 0.00 4.08 0.75 0.86
16 A2 334 330 0.00 3.02 0.75 0.86
17 B1 3188 3144 54.07 60.65 0.75 0.86
18 B1 1557 1536 8.15 3.05 0.75 0.86
19 B1 1179 1163 0.03 6.22 0.75 0.86
20 B1 1083 1068 0.26 0.44 0.75 0.86
21 B1 989 975 0.07 8.13 0.75 0.86
22 B1 720 710 52.87 5.62 0.75 0.86
23 B2 3154 3110 27.84 44.18 0.75 0.86
24 B2 3070 3027 15.09 126.50 0.75 0.86
25 B2 1273 1255 33.10 0.01 0.75 0.86
26 B2 1135 1120 9.40 0.88 0.75 0.86
27 B2 941 928 4.73 0.33 0.75 0.86
28 B2 917 905 4.67 0.41 0.75 0.86
29 B2 814 803 9.70 2.55 0.75 0.86
30 B2 479 473 5.38 7.72 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21011.1 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 20721.1 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
ABC
0.25491 0.14618 0.11362

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.801 0.529
C2 0.000 -0.801 0.529
H3 0.000 1.372 1.468
H4 0.000 -1.372 1.468
C5 -1.317 0.679 -0.268
C6 1.317 0.679 -0.268
C7 1.317 -0.679 -0.268
C8 -1.317 -0.679 -0.268
H9 -1.964 1.436 -0.714
H10 1.964 1.436 -0.714
H11 1.964 -1.436 -0.714
H12 -1.964 -1.436 -0.714

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.60111.09952.36691.54361.54362.13442.13442.40932.40933.22533.2253
C21.60112.36691.09952.13442.13441.54361.54363.22533.22532.40932.4093
H31.09952.36692.74372.28632.28632.99182.99182.93642.93644.06224.0622
H42.36691.09952.74372.99182.99182.28632.28634.06224.06222.93642.9364
C51.54362.13442.28632.99182.63362.96281.35721.09163.39643.92862.2559
C61.54362.13442.28632.99182.63361.35722.96283.39641.09162.25593.9286
C72.13441.54362.99182.28632.96281.35722.63363.92862.25591.09163.3964
C82.13441.54362.99182.28631.35722.96282.63362.25593.92863.39641.0916
H92.40933.22532.93644.06221.09163.39643.92862.25593.92784.86572.8718
H102.40933.22532.93644.06223.39641.09162.25593.92863.92782.87184.8657
H113.22532.40934.06222.93643.92862.25591.09163.39644.86572.87183.9278
H123.22532.40934.06222.93642.25593.92863.39641.09162.87184.86573.9278

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 121.305 C1 C2 H7 85.469
C1 C2 H8 85.469 C1 C5 H8 94.531
C1 C5 H9 131.440 C1 C6 H7 94.531
C1 C6 H10 131.440 C2 C1 C3 121.305
C2 C1 C5 85.469 C2 C1 C6 85.469
C2 H7 C6 94.531 C2 H7 H11 131.440
C2 H8 C5 94.531 C2 H8 H12 131.440
C3 C1 C5 118.799 C3 C1 C6 118.799
C4 C2 H7 118.799 C4 C2 H8 118.799
C5 C1 C6 117.094 C5 H8 H12 133.930
C6 H7 H11 133.930 H7 C6 H10 133.930
H8 C5 H9 133.930
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.265      
2 C -0.265      
3 H 0.157      
4 H 0.157      
5 C -0.083      
6 C -0.083      
7 C -0.083      
8 C -0.083      
9 H 0.138      
10 H 0.138      
11 H 0.138      
12 H 0.138      


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 0.002 0.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.963 0.000 0.000
y 0.000 -32.769 0.000
z 0.000 0.000 -35.653
Traceless
 xyz
x -0.751 0.000 0.000
y 0.000 2.539 0.000
z 0.000 0.000 -1.788
Polar
3z2-r2-3.575
x2-y2-2.194
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.515 0.000 0.000
y 0.000 9.370 0.000
z 0.000 0.000 5.673


<r2> (average value of r2) Å2
<r2> 120.742
(<r2>)1/2 10.988