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All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/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/cc-pVTZ
 hartrees
Energy at 0K-232.345379
Energy at 298.15K-232.351717
HF Energy-232.345379
Nuclear repulsion energy203.825206
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/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 3188 3087 0.00 433.30 0.12 0.21
2 A1g 1012 980 0.00 65.27 0.07 0.14
3 A2g 1386 1342 0.00 0.00 0.75 0.86
4 A2u 690 668 101.34 0.00 0.00 0.00
5 B1u 3150 3050 0.00 0.00 0.00 0.00
6 B1u 1024 991 0.00 0.00 0.00 0.00
7 B2g 1019 986 0.00 0.00 0.75 0.86
8 B2g 722 699 0.00 0.00 0.75 0.86
9 B2u 1349 1306 0.00 0.00 0.00 0.00
10 B2u 1171 1134 0.00 0.00 0.00 0.00
11 E1g 868 840 0.00 0.33 0.75 0.86
11 E1g 868 840 0.00 0.33 0.75 0.86
12 E1u 3177 3076 44.91 0.00 0.00 0.00
12 E1u 3177 3076 44.90 0.00 0.00 0.00
13 E1u 1517 1469 7.21 0.00 0.00 0.00
13 E1u 1517 1469 7.22 0.00 0.00 0.00
14 E1u 1061 1028 4.37 0.00 0.00 0.00
14 E1u 1061 1028 4.37 0.00 0.00 0.00
15 E2g 3160 3060 0.00 141.94 0.75 0.86
15 E2g 3160 3060 0.00 141.89 0.75 0.86
16 E2g 1636 1584 0.00 9.54 0.75 0.86
16 E2g 1636 1584 0.00 9.52 0.75 0.86
17 E2g 1198 1160 0.00 6.56 0.75 0.86
17 E2g 1198 1160 0.00 6.56 0.75 0.86
18 E2g 611 592 0.00 3.48 0.75 0.86
18 E2g 611 592 0.00 3.48 0.75 0.86
19 E2u 987 956 0.00 0.00 0.00 0.00
19 E2u 987 956 0.00 0.00 0.00 0.00
20 E2u 408 395 0.00 0.00 0.00 0.00
20 E2u 408 395 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21979.0 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 21282.3 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/cc-pVTZ
ABC
0.19089 0.19089 0.09544

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/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
C11.39222.41132.78442.41131.39221.08382.14983.39353.86823.39352.1498
C21.39221.39222.41132.78442.41132.14981.08382.14983.39353.86823.3935
C32.41131.39221.39222.41132.78443.39352.14981.08382.14983.39353.8682
C42.78442.41131.39221.39222.41133.86823.39352.14981.08382.14983.3935
C52.41132.78442.41131.39221.39223.39353.86823.39352.14981.08382.1498
C61.39222.41132.78442.41131.39222.14983.39353.86823.39352.14981.0838
H71.08382.14983.39353.86823.39352.14982.47604.28864.95214.28862.4760
H82.14981.08382.14983.39353.86823.39352.47602.47604.28864.95214.2886
H93.39352.14981.08382.14983.39353.86824.28862.47602.47604.28864.9521
H103.86823.39352.14981.08382.14983.39354.95214.28862.47602.47604.2886
H113.39353.86823.39352.14981.08382.14984.28864.95214.28862.47602.4760
H122.14983.39353.86823.39352.14981.08382.47604.28864.95214.28862.4760

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/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.088      
2 C -0.088      
3 C -0.088      
4 C -0.088      
5 C -0.088      
6 C -0.088      
7 H 0.088      
8 H 0.088      
9 H 0.088      
10 H 0.088      
11 H 0.088      
12 H 0.088      


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 11.503 0.000 0.000
y 0.000 11.504 0.000
z 0.000 0.000 5.025


<r2> (average value of r2) Å2
<r2> 127.969
(<r2>)1/2 11.312