return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/daug-cc-pVTZ

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/daug-cc-pVTZ
 hartrees
Energy at 0K-232.347323
Energy at 298.15K-232.353633
HF Energy-232.347323
Nuclear repulsion energy203.800557
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/daug-cc-pVTZ
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 3187 3187 0.00 316.29 0.09 0.17
2 A1g 1011 1011 0.00 80.63 0.01 0.01
3 A2g 1384 1384 0.00 0.00 0.75 0.86
4 A2u 691 691 107.76 0.00 0.00 0.00
5 B1u 3150 3150 0.00 0.00 0.00 0.00
6 B1u 1023 1023 0.00 0.00 0.00 0.00
7 B2g 1020 1020 0.00 0.00 0.75 0.86
8 B2g 720 720 0.00 0.00 0.75 0.86
9 B2u 1347 1347 0.00 0.00 0.00 0.00
10 B2u 1169 1169 0.00 0.00 0.00 0.00
11 E1g 868 868 0.00 0.01 0.75 0.86
11 E1g 868 868 0.00 0.03 0.75 0.86
12 E1u 3176 3176 40.94 0.00 0.00 0.00
12 E1u 3176 3176 40.94 0.00 0.00 0.00
13 E1u 1515 1515 6.10 0.00 0.00 0.00
13 E1u 1515 1515 6.10 0.00 0.00 0.00
14 E1u 1060 1060 4.62 0.00 0.00 0.00
14 E1u 1060 1060 4.62 0.00 0.00 0.00
15 E2g 3160 3160 0.00 111.05 0.75 0.86
15 E2g 3160 3160 0.00 111.12 0.75 0.86
16 E2g 1633 1633 0.00 13.52 0.75 0.86
16 E2g 1633 1633 0.00 14.53 0.75 0.86
17 E2g 1196 1196 0.00 11.93 0.75 0.86
17 E2g 1196 1196 0.00 12.03 0.75 0.86
18 E2g 610 610 0.00 1.81 0.75 0.86
18 E2g 610 610 0.00 1.82 0.75 0.86
19 E2u 994 994 0.00 0.00 0.00 0.00
19 E2u 994 994 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) 21970.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21970.2 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/daug-cc-pVTZ
ABC
0.19084 0.19084 0.09542

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

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 2.476 0.000
H8 2.144 1.238 0.000
H9 2.144 -1.238 0.000
H10 0.000 -2.476 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
C11.39242.41172.78482.41171.39241.08382.15003.39383.86863.39382.1500
C21.39241.39242.41172.78482.41172.15001.08382.15003.39383.86863.3938
C32.41171.39241.39242.41172.78483.39382.15001.08382.15003.39383.8686
C42.78482.41171.39241.39242.41173.86863.39382.15001.08382.15003.3938
C52.41172.78482.41171.39241.39243.39383.86863.39382.15001.08382.1500
C61.39242.41172.78482.41171.39242.15003.39383.86863.39382.15001.0838
H71.08382.15003.39383.86863.39382.15002.47624.28884.95234.28882.4762
H82.15001.08382.15003.39383.86863.39382.47622.47624.28884.95234.2888
H93.39382.15001.08382.15003.39383.86864.28882.47622.47624.28884.9523
H103.86863.39382.15001.08382.15003.39384.95234.28882.47622.47624.2888
H113.39383.86863.39382.15001.08382.15004.28884.95234.28882.47622.4762
H122.15003.39383.86863.39382.15001.08382.47624.28884.95234.28882.4762

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/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.188      
2 C -0.188      
3 C -0.188      
4 C -0.188      
5 C -0.188      
6 C -0.188      
7 H 0.188      
8 H 0.188      
9 H 0.188      
10 H 0.188      
11 H 0.188      
12 H 0.188      


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 12.092 0.000 0.000
y 0.000 12.094 0.000
z 0.000 0.000 6.530


<r2> (average value of r2) Å2
<r2> 128.158
(<r2>)1/2 11.321