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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-232.262948
Energy at 298.15K-232.269290
HF Energy-232.262948
Nuclear repulsion energy202.776718
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 B3LYPultrafine/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 3105 0.00 427.02 0.11 0.19
2 A1g 1019 989 0.00 56.58 0.09 0.17
3 A2g 1365 1324 0.00 0.00 0.75 0.86
4 A2u 692 671 74.41 0.00 0.00 0.00
5 B1u 3163 3069 0.00 0.00 0.00 0.00
6 B1u 1014 983 0.00 0.00 0.00 0.00
7 B2g 1022 992 0.00 0.00 0.75 0.86
8 B2g 723 701 0.00 0.00 0.75 0.86
9 B2u 1357 1317 0.00 0.00 0.00 0.00
10 B2u 1162 1128 0.00 0.00 0.00 0.00
11 E1g 866 840 0.00 4.37 0.75 0.86
11 E1g 866 840 0.00 4.37 0.75 0.86
12 E1u 3190 3094 40.89 0.00 0.00 0.00
12 E1u 3190 3094 40.90 0.00 0.00 0.00
13 E1u 1507 1462 6.73 0.00 0.00 0.00
13 E1u 1507 1462 6.73 0.00 0.00 0.00
14 E1u 1059 1028 4.46 0.00 0.00 0.00
14 E1u 1059 1028 4.46 0.00 0.00 0.00
15 E2g 3174 3078 0.00 150.80 0.75 0.86
15 E2g 3174 3078 0.00 150.80 0.75 0.86
16 E2g 1646 1597 0.00 10.30 0.75 0.86
16 E2g 1646 1597 0.00 10.30 0.75 0.86
17 E2g 1187 1151 0.00 9.35 0.75 0.86
17 E2g 1187 1151 0.00 9.35 0.75 0.86
18 E2g 618 599 0.00 3.68 0.75 0.86
18 E2g 618 599 0.00 3.68 0.75 0.86
19 E2u 987 958 0.00 0.00 0.00 0.00
19 E2u 987 958 0.00 0.00 0.00 0.00
20 E2u 414 402 0.00 0.00 0.00 0.00
20 E2u 414 402 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22007.9 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 21347.6 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 B3LYPultrafine/cc-pVDZ
ABC
0.18901 0.18901 0.09450

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.399 0.000
C2 1.211 0.699 0.000
C3 1.211 -0.699 0.000
C4 0.000 -1.399 0.000
C5 -1.211 -0.699 0.000
C6 -1.211 0.699 0.000
H7 0.000 2.491 0.000
H8 2.158 1.246 0.000
H9 2.158 -1.246 0.000
H10 0.000 -2.491 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
C11.39862.42252.79732.42251.39861.09272.16303.41283.89003.41282.1630
C21.39861.39862.42252.79732.42252.16301.09272.16303.41293.89003.4128
C32.42251.39861.39862.42252.79733.41292.16301.09272.16303.41283.8900
C42.79732.42251.39861.39862.42253.89003.41282.16301.09272.16303.4128
C52.42252.79732.42251.39861.39863.41293.89003.41282.16301.09272.1630
C61.39862.42252.79732.42251.39862.16303.41283.89003.41292.16301.0927
H71.09272.16303.41293.89003.41292.16302.49144.31514.98274.31512.4914
H82.16301.09272.16303.41283.89003.41282.49142.49144.31514.98274.3151
H93.41282.16301.09272.16303.41283.89004.31512.49142.49144.31514.9827
H103.89003.41292.16301.09272.16303.41294.98274.31512.49142.49144.3151
H113.41283.89003.41282.16301.09272.16304.31514.98274.31512.49142.4914
H122.16303.41283.89003.41282.16301.09272.49144.31514.98274.31512.4914

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 B3LYPultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.029      
2 C 0.029      
3 C 0.029      
4 C 0.029      
5 C 0.029      
6 C 0.029      
7 H -0.029      
8 H -0.029      
9 H -0.029      
10 H -0.029      
11 H -0.029      
12 H -0.029      


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
Primitive
 xyz
x -32.030 0.000 0.000
y 0.000 -32.030 0.000
z 0.000 0.000 -39.072
Traceless
 xyz
x 3.521 0.000 0.000
y 0.000 3.521 0.000
z 0.000 0.000 -7.042
Polar
3z2-r2-14.085
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.123 0.000 0.000
y 0.000 11.123 0.000
z 0.000 0.000 3.626


<r2> (average value of r2) Å2
<r2> 129.136
(<r2>)1/2 11.364