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All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/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/cc-pVDZ
 hartrees
Energy at 0K-232.286656
Energy at 298.15K-232.292970
HF Energy-232.286656
Nuclear repulsion energy202.685761
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-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 3201 3113 0.00 441.08 0.11 0.19
2 A1g 1016 988 0.00 58.12 0.09 0.17
3 A2g 1367 1330 0.00 0.00 0.75 0.86
4 A2u 689 670 80.34 0.00 0.00 0.00
5 B1u 3162 3075 0.00 0.00 0.00 0.00
6 B1u 1009 981 0.00 0.00 0.00 0.00
7 B2g 1017 989 0.00 0.00 0.75 0.86
8 B2g 717 698 0.00 0.00 0.75 0.86
9 B2u 1373 1335 0.00 0.00 0.00 0.00
10 B2u 1164 1132 0.00 0.00 0.00 0.00
11 E1g 866 842 0.00 3.72 0.75 0.86
11 E1g 866 842 0.00 3.72 0.75 0.86
12 E1u 3190 3102 49.30 0.00 0.00 0.00
12 E1u 3190 3102 49.32 0.00 0.00 0.00
13 E1u 1509 1467 5.93 0.00 0.00 0.00
13 E1u 1509 1467 5.93 0.00 0.00 0.00
14 E1u 1062 1032 4.53 0.00 0.00 0.00
14 E1u 1062 1032 4.53 0.00 0.00 0.00
15 E2g 3173 3085 0.00 156.32 0.75 0.86
15 E2g 3173 3085 0.00 156.39 0.75 0.86
16 E2g 1646 1600 0.00 9.94 0.75 0.86
16 E2g 1646 1600 0.00 9.94 0.75 0.86
17 E2g 1191 1158 0.00 8.86 0.75 0.86
17 E2g 1191 1158 0.00 8.85 0.75 0.86
18 E2g 608 591 0.00 3.73 0.75 0.86
18 E2g 608 591 0.00 3.74 0.75 0.86
19 E2u 986 958 0.00 0.00 0.00 0.00
19 E2u 986 958 0.00 0.00 0.00 0.00
20 E2u 408 396 0.00 0.00 0.00 0.00
20 E2u 408 396 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21993.7 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 21386.7 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-pVDZ
ABC
0.18883 0.18883 0.09441

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.399 0.000
C2 1.212 0.700 0.000
C3 1.212 -0.700 0.000
C4 0.000 -1.399 0.000
C5 -1.212 -0.700 0.000
C6 -1.212 0.700 0.000
H7 0.000 2.492 0.000
H8 2.158 1.246 0.000
H9 2.158 -1.246 0.000
H10 0.000 -2.492 0.000
H11 -2.158 -1.246 0.000
H12 -2.158 1.246 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39942.42382.79882.42381.39941.09262.16363.41413.89143.41412.1636
C21.39941.39942.42382.79882.42382.16361.09262.16363.41413.89143.4141
C32.42381.39941.39942.42382.79883.41412.16361.09262.16363.41413.8914
C42.79882.42381.39941.39942.42383.89143.41412.16361.09262.16363.4141
C52.42382.79882.42381.39941.39943.41413.89143.41412.16361.09262.1636
C61.39942.42382.79882.42381.39942.16363.41413.89143.41412.16361.0926
H71.09262.16363.41413.89143.41412.16362.49204.31634.98404.31632.4920
H82.16361.09262.16363.41413.89143.41412.49202.49204.31634.98404.3163
H93.41412.16361.09262.16363.41413.89144.31632.49202.49204.31634.9840
H103.89143.41412.16361.09262.16363.41414.98404.31632.49202.49204.3163
H113.41413.89143.41412.16361.09262.16364.31634.98404.31632.49202.4920
H122.16363.41413.89143.41412.16361.09262.49204.31634.98404.31632.4920

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-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.005      
2 C 0.005      
3 C 0.005      
4 C 0.005      
5 C 0.005      
6 C 0.005      
7 H -0.005      
8 H -0.005      
9 H -0.005      
10 H -0.005      
11 H -0.005      
12 H -0.005      


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 11.153 0.000 0.000
y 0.000 11.154 0.000
z 0.000 0.000 3.650


<r2> (average value of r2) Å2
<r2> 129.080
(<r2>)1/2 11.361