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All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/aug-cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-232.294949
Energy at 298.15K-232.301246
HF Energy-232.294949
Nuclear repulsion energy202.680314
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-pVDZ
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 3198 3093 0.00 451.43 0.10 0.18
2 A1g 1011 978 0.00 90.04 0.03 0.06
3 A2g 1361 1316 0.00 0.00 0.75 0.86
4 A2u 682 660 110.10 0.00 0.00 0.00
5 B1u 3162 3058 0.00 0.00 0.00 0.00
6 B1u 1003 970 0.00 0.00 0.00 0.00
7 B2g 995 962 0.00 0.00 0.75 0.86
8 B2g 710 686 0.00 0.00 0.75 0.86
9 B2u 1366 1321 0.00 0.00 0.00 0.00
10 B2u 1165 1127 0.00 0.00 0.00 0.00
11 E1g 857 829 0.00 0.63 0.75 0.86
11 E1g 857 829 0.00 0.65 0.75 0.86
12 E1u 3187 3083 48.68 0.00 0.00 0.00
12 E1u 3187 3083 48.68 0.00 0.00 0.00
13 E1u 1498 1449 5.39 0.00 0.00 0.00
13 E1u 1498 1449 5.40 0.00 0.00 0.00
14 E1u 1058 1024 5.06 0.00 0.00 0.00
14 E1u 1058 1024 5.05 0.00 0.00 0.00
15 E2g 3171 3067 0.00 141.93 0.75 0.86
15 E2g 3171 3067 0.00 141.98 0.75 0.86
16 E2g 1635 1582 0.00 12.91 0.75 0.86
16 E2g 1635 1582 0.00 12.94 0.75 0.86
17 E2g 1191 1153 0.00 6.24 0.75 0.86
17 E2g 1191 1153 0.00 6.24 0.75 0.86
18 E2g 606 586 0.00 2.55 0.75 0.86
18 E2g 606 586 0.00 2.56 0.75 0.86
19 E2u 977 945 0.00 0.00 0.00 0.00
19 E2u 977 945 0.00 0.00 0.00 0.00
20 E2u 405 391 0.00 0.00 0.00 0.00
20 E2u 405 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21910.3 cm-1
Scaled (by 0.9673) Zero Point Vibrational Energy (zpe) 21193.9 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-pVDZ
ABC
0.18878 0.18878 0.09439

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.400 0.000
C2 1.212 0.700 0.000
C3 1.212 -0.700 0.000
C4 0.000 -1.400 0.000
C5 -1.212 -0.700 0.000
C6 -1.212 0.700 0.000
H7 0.000 2.491 0.000
H8 2.157 1.245 0.000
H9 2.157 -1.245 0.000
H10 0.000 -2.491 0.000
H11 -2.157 -1.245 0.000
H12 -2.157 1.245 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39982.42452.79962.42451.39981.09102.16263.41333.89063.41332.1626
C21.39981.39982.42452.79962.42462.16261.09102.16263.41333.89063.4133
C32.42451.39981.39982.42462.79963.41332.16261.09102.16263.41333.8906
C42.79962.42451.39981.39982.42453.89063.41332.16261.09102.16263.4133
C52.42452.79962.42461.39981.39983.41333.89063.41332.16261.09102.1626
C61.39982.42462.79962.42451.39982.16263.41333.89063.41332.16261.0910
H71.09102.16263.41333.89063.41332.16262.49084.31424.98164.31422.4908
H82.16261.09102.16263.41333.89063.41332.49082.49084.31424.98164.3142
H93.41332.16261.09102.16263.41333.89064.31422.49082.49084.31424.9816
H103.89063.41332.16261.09102.16263.41334.98164.31422.49082.49084.3142
H113.41333.89063.41332.16261.09102.16264.31424.98164.31422.49082.4908
H122.16263.41333.89063.41332.16261.09102.49084.31424.98164.31422.4908

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-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.571      
2 C 0.571      
3 C 0.571      
4 C 0.571      
5 C 0.571      
6 C 0.571      
7 H -0.571      
8 H -0.571      
9 H -0.571      
10 H -0.571      
11 H -0.571      
12 H -0.571      


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 12.218 0.000 0.000
y 0.000 12.219 0.000
z 0.000 0.000 6.626


<r2> (average value of r2) Å2
<r2> 129.388
(<r2>)1/2 11.375