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

using model chemistry: TPSSh/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 TPSSh/6-31G
 hartrees
Energy at 0K-232.078804
Energy at 298.15K 
HF Energy-232.078804
Nuclear repulsion energy207.180579
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/6-31G
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 3261 3138 9.48 293.43 0.03 0.06
2 A1 3146 3027 39.69 145.31 0.17 0.28
3 A1 1622 1561 0.04 27.06 0.06 0.12
4 A1 1183 1138 4.17 21.76 0.23 0.37
5 A1 1056 1016 3.48 15.36 0.75 0.86
6 A1 949 913 13.41 12.17 0.26 0.41
7 A1 865 833 0.19 7.07 0.75 0.86
8 A1 831 800 83.02 8.03 0.07 0.13
9 A1 394 379 4.10 13.72 0.63 0.78
10 A2 3219 3097 0.00 178.72 0.75 0.86
11 A2 1300 1251 0.00 2.95 0.75 0.86
12 A2 1226 1180 0.00 16.13 0.75 0.86
13 A2 960 924 0.00 0.15 0.75 0.86
14 A2 943 908 0.00 0.69 0.75 0.86
15 A2 795 764 0.00 4.56 0.75 0.86
16 A2 338 326 0.00 3.14 0.75 0.86
17 B1 3256 3133 60.55 61.38 0.75 0.86
18 B1 1594 1534 9.97 2.88 0.75 0.86
19 B1 1221 1175 0.46 4.73 0.75 0.86
20 B1 1118 1075 0.10 0.38 0.75 0.86
21 B1 1008 969 0.54 8.94 0.75 0.86
22 B1 748 720 55.25 4.92 0.75 0.86
23 B2 3221 3099 34.84 45.19 0.75 0.86
24 B2 3136 3017 18.87 131.84 0.75 0.86
25 B2 1317 1267 32.41 0.02 0.75 0.86
26 B2 1178 1133 9.29 0.89 0.75 0.86
27 B2 977 940 4.90 0.59 0.75 0.86
28 B2 944 908 4.79 0.32 0.75 0.86
29 B2 838 806 8.77 2.45 0.75 0.86
30 B2 495 476 5.90 7.60 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21569.7 cm-1
Scaled (by 0.9621) Zero Point Vibrational Energy (zpe) 20752.2 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/6-31G
ABC
0.25696 0.14712 0.11455

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.797 0.530
C2 0.000 -0.797 0.530
H3 0.000 1.368 1.459
H4 0.000 -1.368 1.459
C5 -1.312 0.675 -0.268
C6 1.312 0.675 -0.268
C7 1.312 -0.675 -0.268
C8 -1.312 -0.675 -0.268
H9 -1.955 1.426 -0.711
H10 1.955 1.426 -0.711
H11 1.955 -1.426 -0.711
H12 -1.955 -1.426 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.59381.09072.35601.54061.54062.12742.12742.39942.39943.20983.2098
C21.59382.35601.09072.12742.12741.54061.54063.20983.20982.39942.3994
H31.09072.35602.73652.27702.27702.97992.97992.92122.92124.04204.0420
H42.35601.09072.73652.97992.97992.27702.27704.04204.04202.92122.9212
C51.54062.12742.27702.97992.62472.95171.35031.08303.38163.90972.2414
C61.54062.12742.27702.97992.62471.35032.95173.38161.08302.24143.9097
C72.12741.54062.97992.27702.95171.35032.62473.90972.24141.08303.3816
C82.12741.54062.97992.27701.35032.95172.62472.24143.90973.38161.0830
H92.39943.20982.92124.04201.08303.38163.90972.24143.90984.83942.8519
H102.39943.20982.92124.04203.38161.08302.24143.90973.90982.85194.8394
H113.20982.39944.04202.92123.90972.24141.08303.38164.83942.85193.9098
H123.20982.39944.04202.92122.24143.90973.38161.08302.85194.83943.9098

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 121.591 C1 C2 H7 85.467
C1 C2 H8 85.467 C1 C5 H8 94.533
C1 C5 H9 131.488 C1 C6 H7 94.533
C1 C6 H10 131.488 C2 C1 C3 121.591
C2 C1 C5 85.467 C2 C1 C6 85.467
C2 H7 C6 94.533 C2 H7 H11 131.488
C2 H8 C5 94.533 C2 H8 H12 131.488
C3 C1 C5 118.849 C3 C1 C6 118.849
C4 C2 H7 118.849 C4 C2 H8 118.849
C5 C1 C6 116.820 C5 H8 H12 133.889
C6 H7 H11 133.889 H7 C6 H10 133.889
H8 C5 H9 133.889
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.274      
2 C -0.274      
3 H 0.167      
4 H 0.167      
5 C -0.101      
6 C -0.101      
7 C -0.101      
8 C -0.101      
9 H 0.154      
10 H 0.154      
11 H 0.154      
12 H 0.154      


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 -0.021 0.021
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 8.324 0.000 0.000
y 0.000 9.333 0.000
z 0.000 0.000 5.578


<r2> (average value of r2) Å2
<r2> 119.938
(<r2>)1/2 10.952