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

using model chemistry: mPW1PW91/6-31G(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 mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-232.083227
Energy at 298.15K 
HF Energy-232.083227
Nuclear repulsion energy209.428228
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 mPW1PW91/6-31G(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 3246 3099 7.50 268.55 0.03 0.07
2 A1 3134 2992 29.66 139.52 0.13 0.24
3 A1 1657 1582 0.10 30.47 0.06 0.11
4 A1 1201 1147 4.68 17.76 0.20 0.33
5 A1 1048 1001 2.05 13.18 0.69 0.82
6 A1 969 925 5.55 13.01 0.25 0.40
7 A1 896 855 0.17 6.52 0.68 0.81
8 A1 835 797 62.94 5.59 0.10 0.18
9 A1 393 376 3.25 10.01 0.62 0.77
10 A2 3209 3064 0.00 162.95 0.75 0.86
11 A2 1303 1244 0.00 5.60 0.75 0.86
12 A2 1200 1146 0.00 11.87 0.75 0.86
13 A2 977 933 0.00 0.21 0.75 0.86
14 A2 946 903 0.00 0.13 0.75 0.86
15 A2 793 757 0.00 3.12 0.75 0.86
16 A2 340 325 0.00 2.28 0.75 0.86
17 B1 3242 3096 40.65 57.13 0.75 0.86
18 B1 1629 1555 9.28 1.79 0.75 0.86
19 B1 1215 1160 2.18 2.40 0.75 0.86
20 B1 1114 1063 0.01 0.00 0.75 0.86
21 B1 1021 975 0.10 8.76 0.75 0.86
22 B1 741 707 37.28 3.78 0.75 0.86
23 B2 3211 3065 24.83 41.83 0.75 0.86
24 B2 3126 2985 16.43 115.95 0.75 0.86
25 B2 1308 1248 36.60 0.03 0.75 0.86
26 B2 1168 1115 3.03 0.73 0.75 0.86
27 B2 978 934 3.08 0.38 0.75 0.86
28 B2 934 892 7.57 0.28 0.75 0.86
29 B2 848 809 9.33 2.04 0.75 0.86
30 B2 494 472 6.23 5.52 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21586.8 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 20608.9 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 mPW1PW91/6-31G(2df,p)
ABC
0.26367 0.15007 0.11705

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.521
C2 0.000 -0.782 0.521
H3 0.000 1.346 1.454
H4 0.000 -1.346 1.454
C5 -1.299 0.667 -0.264
C6 1.299 0.667 -0.264
C7 1.299 -0.667 -0.264
C8 -1.299 -0.667 -0.264
H9 -1.942 1.419 -0.706
H10 1.942 1.419 -0.706
H11 1.942 -1.419 -0.706
H12 -1.942 -1.419 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56341.09052.32311.52201.52202.09842.09842.38382.38383.18093.1809
C21.56342.32311.09052.09842.09841.52201.52203.18093.18092.38382.3838
H31.09052.32312.69142.25812.25812.94822.94822.90572.90574.00994.0099
H42.32311.09052.69142.94822.94822.25812.25814.00994.00992.90572.9057
C51.52202.09842.25812.94822.59822.92101.33491.08313.35643.87982.2273
C61.52202.09842.25812.94822.59821.33492.92103.35641.08312.22733.8798
C72.09841.52202.94822.25812.92101.33492.59823.87982.22731.08313.3564
C82.09841.52202.94822.25811.33492.92102.59822.22733.87983.35641.0831
H92.38383.18092.90574.00991.08313.35643.87982.22733.88444.81022.8372
H102.38383.18092.90574.00993.35641.08312.22733.87983.88442.83724.8102
H113.18092.38384.00992.90573.87982.22731.08313.35644.81022.83723.8844
H123.18092.38384.00992.90572.22733.87983.35641.08312.83724.81023.8844

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 121.143 C1 C2 H7 85.696
C1 C2 H8 85.696 C1 C5 H8 94.304
C1 C5 H9 131.694 C1 C6 H7 94.304
C1 C6 H10 131.694 C2 C1 C3 121.143
C2 C1 C5 85.696 C2 C1 C6 85.696
C2 H7 C6 94.304 C2 H7 H11 131.694
C2 H8 C5 94.304 C2 H8 H12 131.694
C3 C1 C5 118.691 C3 C1 C6 118.691
C4 C2 H7 118.691 C4 C2 H8 118.691
C5 C1 C6 117.200 C5 H8 H12 133.907
C6 H7 H11 133.907 H7 C6 H10 133.907
H8 C5 H9 133.907
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.134      
2 C -0.134      
3 H 0.118      
4 H 0.118      
5 C -0.120      
6 C -0.120      
7 C -0.120      
8 C -0.120      
9 H 0.128      
10 H 0.128      
11 H 0.128      
12 H 0.128      


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 -0.042 0.042
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.500 0.000 0.000
y 0.000 -32.162 0.000
z 0.000 0.000 -35.178
Traceless
 xyz
x -0.830 0.000 0.000
y 0.000 2.677 0.000
z 0.000 0.000 -1.848
Polar
3z2-r2-3.695
x2-y2-2.338
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.670 0.000 0.000
y 0.000 9.277 0.000
z 0.000 0.000 6.048


<r2> (average value of r2) Å2
<r2> 117.638
(<r2>)1/2 10.846