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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/daug-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 B3LYP/daug-cc-pVTZ
 hartrees
Energy at 0K-232.335779
Energy at 298.15K-232.342124
HF Energy-232.335779
Nuclear repulsion energy204.025840
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 B3LYP/daug-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 3191 3191 0.00 398.04 0.10 0.18
2 A1g 1014 1014 0.00 92.16 0.02 0.04
3 A2g 1387 1387 0.00 0.00 0.75 0.86
4 A2u 693 693 109.60 0.00 0.00 0.00
5 B1u 3157 3157 0.00 0.00 0.00 0.00
6 B1u 1030 1030 0.00 0.00 0.00 0.00
7 B2g 1026 1026 0.00 0.00 0.75 0.86
8 B2g 725 725 0.00 0.00 0.75 0.86
9 B2u 1334 1334 0.00 0.00 0.00 0.00
10 B2u 1174 1174 0.00 0.00 0.00 0.00
11 E1g 869 869 0.00 0.27 0.75 0.86
11 E1g 869 869 0.00 0.28 0.75 0.86
12 E1u 3181 3181 34.52 0.00 0.00 0.00
12 E1u 3181 3181 34.53 0.00 0.00 0.00
13 E1u 1517 1517 6.33 0.00 0.00 0.00
13 E1u 1517 1517 6.33 0.00 0.00 0.00
14 E1u 1061 1061 5.12 0.00 0.00 0.00
14 E1u 1061 1061 5.12 0.00 0.00 0.00
15 E2g 3166 3166 0.00 126.43 0.75 0.86
15 E2g 3166 3166 0.00 128.00 0.75 0.86
16 E2g 1633 1633 0.00 16.44 0.75 0.86
16 E2g 1633 1633 0.00 16.08 0.75 0.86
17 E2g 1198 1198 0.00 7.91 0.75 0.86
17 E2g 1198 1198 0.00 8.19 0.75 0.86
18 E2g 623 623 0.00 1.88 0.75 0.86
18 E2g 623 623 0.00 1.88 0.75 0.86
19 E2u 999 999 0.00 0.00 0.00 0.00
19 E2u 999 999 0.00 0.00 0.00 0.00
20 E2u 415 415 0.00 0.00 0.00 0.00
20 E2u 415 415 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22026.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22026.8 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 B3LYP/daug-cc-pVTZ
ABC
0.19124 0.19124 0.09562

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/daug-cc-pVTZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.391 0.000
C2 1.205 0.696 0.000
C3 1.205 -0.696 0.000
C4 0.000 -1.391 0.000
C5 -1.205 -0.696 0.000
C6 -1.205 0.696 0.000
H7 0.000 2.473 0.000
H8 2.142 1.236 0.000
H9 2.142 -1.236 0.000
H10 0.000 -2.473 0.000
H11 -2.142 -1.236 0.000
H12 -2.142 1.236 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39102.40932.78202.40931.39101.08192.14723.38973.86393.38972.1472
C21.39101.39102.40932.78202.40932.14721.08192.14723.38973.86393.3897
C32.40931.39101.39102.40932.78203.38972.14721.08192.14723.38973.8639
C42.78202.40931.39101.39102.40933.86393.38972.14721.08192.14723.3897
C52.40932.78202.40931.39101.39103.38973.86393.38972.14721.08192.1472
C61.39102.40932.78202.40931.39102.14723.38973.86393.38972.14721.0819
H71.08192.14723.38973.86393.38972.14722.47294.28324.94584.28322.4729
H82.14721.08192.14723.38973.86393.38972.47292.47294.28324.94584.2832
H93.38972.14721.08192.14723.38973.86394.28322.47292.47294.28324.9458
H103.86393.38972.14721.08192.14723.38974.94584.28322.47292.47294.2832
H113.38973.86393.38972.14721.08192.14724.28324.94584.28322.47292.4729
H122.14723.38973.86393.38972.14721.08192.47294.28324.94584.28322.4729

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 B3LYP/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.344      
2 C -0.344      
3 C -0.344      
4 C -0.344      
5 C -0.344      
6 C -0.344      
7 H 0.344      
8 H 0.344      
9 H 0.344      
10 H 0.344      
11 H 0.344      
12 H 0.344      


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 -32.428 0.000 0.000
y 0.000 -32.428 0.000
z 0.000 0.000 -39.855
Traceless
 xyz
x 3.713 0.000 0.000
y 0.000 3.713 0.000
z 0.000 0.000 -7.426
Polar
3z2-r2-14.853
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 12.105 0.000 0.000
y 0.000 12.106 0.000
z 0.000 0.000 6.634


<r2> (average value of r2) Å2
<r2> 128.150
(<r2>)1/2 11.320