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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/aug-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 wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-232.243845
Energy at 298.15K-232.250250
HF Energy-232.243845
Nuclear repulsion energy204.511579
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 wB97X-D/aug-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 3221 3081 0.00 412.18 0.10 0.17
2 A1g 1029 984 0.00 84.37 0.03 0.05
3 A2g 1390 1330 0.00 0.00 0.75 0.86
4 A2u 701 671 115.40 0.00 0.00 0.00
5 B1u 3184 3046 0.00 0.00 0.00 0.00
6 B1u 1034 989 0.00 0.00 0.00 0.00
7 B2g 1035 990 0.00 0.00 0.75 0.86
8 B2g 725 693 0.00 0.00 0.75 0.86
9 B2u 1338 1280 0.00 0.00 0.00 0.00
10 B2u 1177 1126 0.00 0.00 0.00 0.00
11 E1g 884 846 0.00 0.60 0.75 0.86
11 E1g 884 846 0.00 0.57 0.75 0.86
12 E1u 3211 3071 32.99 0.00 0.00 0.00
12 E1u 3211 3071 32.99 0.00 0.00 0.00
13 E1u 1528 1462 7.28 0.00 0.00 0.00
13 E1u 1528 1462 7.28 0.00 0.00 0.00
14 E1u 1073 1026 5.73 0.00 0.00 0.00
14 E1u 1073 1026 5.73 0.00 0.00 0.00
15 E2g 3194 3056 0.00 123.02 0.75 0.86
15 E2g 3194 3056 0.00 123.17 0.75 0.86
16 E2g 1668 1596 0.00 11.87 0.75 0.86
16 E2g 1668 1596 0.00 11.77 0.75 0.86
17 E2g 1208 1155 0.00 5.85 0.75 0.86
17 E2g 1208 1155 0.00 5.84 0.75 0.86
18 E2g 627 600 0.00 2.50 0.75 0.86
18 E2g 627 600 0.00 2.50 0.75 0.86
19 E2u 1011 967 0.00 0.00 0.00 0.00
19 E2u 1011 967 0.00 0.00 0.00 0.00
20 E2u 414 396 0.00 0.00 0.00 0.00
20 E2u 414 396 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22234.5 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 21269.5 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 wB97X-D/aug-cc-pVTZ
ABC
0.19221 0.19221 0.09611

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.387 0.000
C2 1.201 0.694 0.000
C3 1.201 -0.694 0.000
C4 0.000 -1.387 0.000
C5 -1.201 -0.694 0.000
C6 -1.201 0.694 0.000
H7 0.000 2.469 0.000
H8 2.138 1.234 0.000
H9 2.138 -1.234 0.000
H10 0.000 -2.469 0.000
H11 -2.138 -1.234 0.000
H12 -2.138 1.234 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38722.40272.77442.40271.38721.08162.14353.38293.85603.38292.1435
C21.38721.38722.40272.77442.40272.14351.08162.14353.38293.85603.3829
C32.40271.38721.38722.40272.77443.38292.14351.08162.14353.38293.8560
C42.77442.40271.38721.38722.40273.85603.38292.14351.08162.14353.3829
C52.40272.77442.40271.38721.38723.38293.85603.38292.14351.08162.1435
C61.38722.40272.77442.40271.38722.14353.38293.85603.38292.14351.0816
H71.08162.14353.38293.85603.38292.14352.46884.27614.93764.27612.4688
H82.14351.08162.14353.38293.85603.38292.46882.46884.27614.93764.2761
H93.38292.14351.08162.14353.38293.85604.27612.46882.46884.27614.9376
H103.85603.38292.14351.08162.14353.38294.93764.27612.46882.46884.2761
H113.38293.85603.38292.14351.08162.14354.27614.93764.27612.46882.4688
H122.14353.38293.85603.38292.14351.08162.46884.27614.93764.27612.4688

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 wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.508      
2 C -0.508      
3 C -0.508      
4 C -0.508      
5 C -0.508      
6 C -0.508      
7 H 0.508      
8 H 0.508      
9 H 0.508      
10 H 0.508      
11 H 0.508      
12 H 0.508      


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 -31.733 0.000 0.000
y 0.000 -31.733 0.000
z 0.000 0.000 -39.644
Traceless
 xyz
x 3.955 0.000 0.000
y 0.000 3.955 0.000
z 0.000 0.000 -7.910
Polar
3z2-r2-15.821
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 11.873 0.000 0.000
y 0.000 11.868 0.000
z 0.000 0.000 6.597


<r2> (average value of r2) Å2
<r2> 127.312
(<r2>)1/2 11.283