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All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/aug-cc-pVQZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at TPSSh/aug-cc-pVQZ
 hartrees
Energy at 0K-232.361791
Energy at 298.15K-232.368125
HF Energy-232.361791
Nuclear repulsion energy203.850270
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/aug-cc-pVQZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3186 3186 0.00 432.61 0.09 0.17
2 A1g 1010 1010 0.00 86.91 0.03 0.06
3 A2g 1387 1387 0.00 0.00 0.75 0.86
4 A2u 691 691 107.47 0.00 0.00 0.00
5 B1u 3149 3149 0.00 0.00 0.00 0.00
6 B1u 1024 1024 0.00 0.00 0.00 0.00
7 B2g 1023 1023 0.00 0.01 0.75 0.86
8 B2g 722 722 0.00 0.01 0.75 0.86
9 B2u 1346 1346 0.00 0.00 0.00 0.00
10 B2u 1172 1172 0.00 0.00 0.00 0.00
11 E1g 869 869 0.00 0.87 0.75 0.86
11 E1g 869 869 0.00 1.19 0.75 0.86
12 E1u 3175 3175 41.99 0.00 0.00 0.00
12 E1u 3175 3175 42.02 0.00 0.00 0.00
13 E1u 1516 1516 5.90 0.00 0.00 0.00
13 E1u 1516 1516 5.90 0.00 0.00 0.00
14 E1u 1060 1060 4.57 0.00 0.00 0.00
14 E1u 1060 1060 4.57 0.00 0.00 0.00
15 E2g 3159 3159 0.00 135.76 0.75 0.86
15 E2g 3159 3159 0.00 134.81 0.75 0.86
16 E2g 1633 1633 0.00 13.30 0.75 0.86
16 E2g 1633 1633 0.00 13.43 0.75 0.86
17 E2g 1198 1198 0.00 4.92 0.75 0.86
17 E2g 1198 1198 0.00 5.26 0.75 0.86
18 E2g 611 611 0.00 2.26 0.75 0.86
18 E2g 611 611 0.00 2.18 0.75 0.86
19 E2u 996 996 0.00 0.00 0.00 0.00
19 E2u 996 996 0.00 0.00 0.00 0.00
20 E2u 408 408 0.00 0.00 0.00 0.00
20 E2u 408 408 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21980.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21980.4 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/aug-cc-pVQZ
ABC
0.19092 0.19092 0.09546

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/aug-cc-pVQZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.392 0.000
C2 1.206 0.696 0.000
C3 1.206 -0.696 0.000
C4 0.000 -1.392 0.000
C5 -1.206 -0.696 0.000
C6 -1.206 0.696 0.000
H7 0.000 2.475 0.000
H8 2.144 1.238 0.000
H9 2.144 -1.238 0.000
H10 0.000 -2.475 0.000
H11 -2.144 -1.238 0.000
H12 -2.144 1.238 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39212.41132.78432.41131.39211.08322.14923.39283.86743.39282.1492
C21.39211.39212.41132.78432.41132.14921.08322.14923.39283.86743.3928
C32.41131.39211.39212.41132.78433.39282.14921.08322.14923.39283.8674
C42.78432.41131.39211.39212.41133.86743.39282.14921.08322.14923.3928
C52.41132.78432.41131.39211.39213.39283.86743.39282.14921.08322.1492
C61.39212.41132.78432.41131.39212.14923.39283.86743.39282.14921.0832
H71.08322.14923.39283.86743.39282.14922.47534.28734.95064.28732.4753
H82.14921.08322.14923.39283.86743.39282.47532.47534.28734.95064.2873
H93.39282.14921.08322.14923.39283.86744.28732.47532.47534.28734.9506
H103.86743.39282.14921.08322.14923.39284.95064.28732.47532.47534.2873
H113.39283.86743.39282.14921.08322.14924.28734.95064.28732.47532.4753
H122.14923.39283.86743.39282.14921.08322.47534.28734.95064.28732.4753

picture of Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.000 C1 C2 H8 120.000
C1 C6 C5 120.000 C1 C6 H12 120.000
C2 C1 C6 120.000 C2 C1 H7 120.000
C2 C3 C4 120.000 C2 C3 H9 120.000
C3 C2 H8 120.000 C3 C4 C5 120.000
C3 C4 H10 120.000 C4 C3 H9 120.000
C4 C5 C6 120.000 C4 C5 H11 120.000
C5 C4 H10 120.000 C5 C6 H12 120.000
C6 C1 H7 120.000 C6 C5 H11 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.514      
2 C -0.514      
3 C -0.514      
4 C -0.514      
5 C -0.514      
6 C -0.514      
7 H 0.514      
8 H 0.514      
9 H 0.514      
10 H 0.514      
11 H 0.514      
12 H 0.514      


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 0.000 0.000
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 12.081 0.000 0.000
y 0.000 12.082 0.000
z 0.000 0.000 6.539


<r2> (average value of r2) Å2
<r2> 128.100
(<r2>)1/2 11.318