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All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/daug-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/daug-cc-pVDZ
 hartrees
Energy at 0K-232.296410
Energy at 298.15K-232.302736
HF Energy-232.296410
Nuclear repulsion energy202.697946
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-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 3197 3197 0.00 540.21 0.09 0.17
2 A1g 1011 1011 0.00 92.63 0.06 0.12
3 A2g 1366 1366 0.00 0.00 0.75 0.86
4 A2u 688 688 109.20 0.00 0.00 0.00
5 B1u 3160 3160 0.00 0.00 0.00 0.00
6 B1u 1006 1006 0.00 0.00 0.00 0.00
7 B2g 1015 1015 0.00 0.00 0.75 0.86
8 B2g 709 709 0.00 0.00 0.75 0.86
9 B2u 1365 1365 0.00 0.00 0.00 0.00
10 B2u 1166 1166 0.00 0.00 0.00 0.00
11 E1g 867 867 0.00 2.99 0.75 0.86
11 E1g 867 867 0.00 2.98 0.75 0.86
12 E1u 3187 3187 48.59 0.00 0.00 0.00
12 E1u 3187 3187 48.58 0.00 0.00 0.00
13 E1u 1503 1503 5.27 0.00 0.00 0.00
13 E1u 1503 1503 5.26 0.00 0.00 0.00
14 E1u 1059 1059 4.97 0.00 0.00 0.00
14 E1u 1059 1059 4.97 0.00 0.00 0.00
15 E2g 3170 3170 0.00 123.23 0.75 0.86
15 E2g 3170 3170 0.00 123.37 0.75 0.86
16 E2g 1637 1637 0.00 23.15 0.75 0.86
16 E2g 1637 1637 0.00 23.25 0.75 0.86
17 E2g 1192 1192 0.00 5.12 0.75 0.86
17 E2g 1192 1192 0.00 5.09 0.75 0.86
18 E2g 608 608 0.00 5.26 0.75 0.86
18 E2g 608 608 0.00 5.27 0.75 0.86
19 E2u 990 990 0.00 0.00 0.00 0.00
19 E2u 990 990 0.00 0.00 0.00 0.00
20 E2u 406 406 0.00 0.00 0.00 0.00
20 E2u 406 406 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21959.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21959.2 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-pVDZ
ABC
0.18879 0.18879 0.09440

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/daug-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 2.490 0.000
H8 2.156 1.245 0.000
H9 2.156 -1.245 0.000
H10 0.000 -2.490 0.000
H11 -2.156 -1.245 0.000
H12 -2.156 1.245 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39982.42462.79972.42461.39981.09032.16203.41263.88993.41262.1620
C21.39981.39982.42462.79972.42462.16201.09032.16203.41263.88993.4126
C32.42461.39981.39982.42462.79973.41262.16201.09032.16203.41263.8899
C42.79972.42461.39981.39982.42463.88993.41262.16201.09032.16203.4126
C52.42462.79972.42461.39981.39983.41263.88993.41262.16201.09032.1620
C61.39982.42462.79972.42461.39982.16203.41263.88993.41262.16201.0903
H71.09032.16203.41263.88993.41262.16202.49014.31304.98024.31302.4901
H82.16201.09032.16203.41263.88993.41262.49012.49014.31304.98024.3130
H93.41262.16201.09032.16203.41263.88994.31302.49012.49014.31304.9802
H103.88993.41262.16201.09032.16203.41264.98024.31302.49012.49014.3130
H113.41263.88993.41262.16201.09032.16204.31304.98024.31302.49012.4901
H122.16203.41263.88993.41262.16201.09032.49014.31304.98024.31302.4901

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-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.933      
2 C 0.933      
3 C 0.933      
4 C 0.933      
5 C 0.933      
6 C 0.933      
7 H -0.933      
8 H -0.933      
9 H -0.933      
10 H -0.933      
11 H -0.933      
12 H -0.933      


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 12.276 0.000 0.000
y 0.000 12.277 0.000
z 0.000 0.000 6.658


<r2> (average value of r2) Å2
<r2> 129.385
(<r2>)1/2 11.375