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

using model chemistry: TPSSh/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at TPSSh/6-311G**
 hartrees
Energy at 0K-232.196590
Energy at 298.15K 
HF Energy-232.196590
Nuclear repulsion energy208.735053
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 TPSSh/6-311G**
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 3200 3200 10.85 313.35 0.04 0.07
2 A1 3095 3095 42.64 170.22 0.14 0.24
3 A1 1623 1623 0.03 34.63 0.05 0.10
4 A1 1182 1182 4.90 21.34 0.17 0.29
5 A1 1038 1038 2.35 11.22 0.70 0.82
6 A1 949 949 7.99 10.48 0.25 0.40
7 A1 880 880 0.27 5.45 0.70 0.82
8 A1 820 820 78.10 5.62 0.07 0.13
9 A1 387 387 4.30 10.76 0.61 0.76
10 A2 3165 3165 0.00 198.37 0.75 0.86
11 A2 1288 1288 0.00 5.86 0.75 0.86
12 A2 1194 1194 0.00 12.31 0.75 0.86
13 A2 959 959 0.00 0.32 0.75 0.86
14 A2 934 934 0.00 0.94 0.75 0.86
15 A2 786 786 0.00 2.72 0.75 0.86
16 A2 333 333 0.00 2.16 0.75 0.86
17 B1 3197 3197 53.76 77.88 0.75 0.86
18 B1 1595 1595 12.60 1.95 0.75 0.86
19 B1 1200 1200 1.94 2.38 0.75 0.86
20 B1 1101 1101 0.16 0.02 0.75 0.86
21 B1 1000 1000 0.23 7.61 0.75 0.86
22 B1 725 725 48.48 4.32 0.75 0.86
23 B2 3166 3166 38.90 51.62 0.75 0.86
24 B2 3087 3087 19.39 139.98 0.75 0.86
25 B2 1299 1299 37.94 0.03 0.75 0.86
26 B2 1160 1160 5.68 0.61 0.75 0.86
27 B2 966 966 3.78 0.70 0.75 0.86
28 B2 927 927 6.83 0.47 0.75 0.86
29 B2 835 835 10.47 1.39 0.75 0.86
30 B2 487 487 5.41 5.46 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21288.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21288.3 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 TPSSh/6-311G**
ABC
0.26155 0.14913 0.11637

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.785 0.525
C2 0.000 -0.785 0.525
H3 0.000 1.350 1.459
H4 0.000 -1.350 1.459
C5 -1.303 0.670 -0.265
C6 1.303 0.670 -0.265
C7 1.303 -0.670 -0.265
C8 -1.303 -0.670 -0.265
H9 -1.946 1.421 -0.711
H10 1.946 1.421 -0.711
H11 1.946 -1.421 -0.711
H12 -1.946 -1.421 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57051.09152.33091.52791.52792.10672.10672.39132.39133.19073.1907
C21.57052.33091.09152.10672.10671.52791.52793.19073.19072.39132.3913
H31.09152.33092.70092.26552.26552.95802.95802.91542.91544.02164.0216
H42.33091.09152.70092.95802.95802.26552.26554.02164.02162.91542.9154
C51.52792.10672.26552.95802.60532.92941.33941.08473.36423.88892.2321
C61.52792.10672.26552.95802.60531.33942.92943.36421.08472.23213.8889
C72.10671.52792.95802.26552.92941.33942.60533.88892.23211.08473.3642
C82.10671.52792.95802.26551.33942.92942.60532.23213.88893.36421.0847
H92.39133.19072.91544.02161.08473.36423.88892.23213.89244.81912.8413
H102.39133.19072.91544.02163.36421.08472.23213.88893.89242.84134.8191
H113.19072.39134.02162.91543.88892.23211.08473.36424.81912.84133.8924
H123.19072.39134.02162.91542.23213.88893.36421.08472.84134.81913.8924

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 121.184 C1 C2 H7 85.663
C1 C2 H8 85.663 C1 C5 H8 94.337
C1 C5 H9 131.751 C1 C6 H7 94.337
C1 C6 H10 131.751 C2 C1 C3 121.184
C2 C1 C5 85.663 C2 C1 C6 85.663
C2 H7 C6 94.337 C2 H7 H11 131.751
C2 H8 C5 94.337 C2 H8 H12 131.751
C3 C1 C5 118.788 C3 C1 C6 118.788
C4 C2 H7 118.788 C4 C2 H8 118.788
C5 C1 C6 116.982 C5 H8 H12 133.811
C6 H7 H11 133.811 H7 C6 H10 133.811
H8 C5 H9 133.811
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.157      
2 C -0.157      
3 H 0.125      
4 H 0.125      
5 C -0.067      
6 C -0.067      
7 C -0.067      
8 C -0.067      
9 H 0.083      
10 H 0.083      
11 H 0.083      
12 H 0.083      


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 -0.028 0.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.247 0.000 0.000
y 0.000 9.793 0.000
z 0.000 0.000 6.473


<r2> (average value of r2) Å2
<r2> 118.716
(<r2>)1/2 10.896