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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B97D3/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 B97D3/daug-cc-pVTZ
 hartrees
Energy at 0K-232.173645
Energy at 298.15K-232.179867
HF Energy-232.173645
Nuclear repulsion energy203.258892
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 B97D3/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 3143 3143 0.00 333.56 0.10 0.19
2 A1g 995 995 0.00 96.83 0.00 0.01
3 A2g 1352 1352 0.00 0.01 0.75 0.86
4 A2u 669 669 105.16 0.00 0.00 0.00
5 B1u 3107 3107 0.00 0.00 0.00 0.00
6 B1u 1009 1009 0.00 0.00 0.00 0.00
7 B2g 989 989 0.00 0.01 0.75 0.86
8 B2g 706 706 0.00 0.00 0.75 0.86
9 B2u 1334 1334 0.00 0.00 0.00 0.00
10 B2u 1155 1155 0.00 0.00 0.00 0.00
11 E1g 840 840 0.00 1.18 0.75 0.86
11 E1g 840 840 0.00 0.74 0.75 0.86
12 E1u 3133 3133 48.02 0.00 0.00 0.00
12 E1u 3133 3133 48.02 0.00 0.00 0.00
13 E1u 1482 1482 5.30 0.00 0.00 0.00
13 E1u 1482 1482 5.30 0.00 0.00 0.00
14 E1u 1040 1040 4.98 0.00 0.00 0.00
14 E1u 1040 1040 4.98 0.00 0.00 0.00
15 E2g 3117 3117 0.00 124.40 0.75 0.86
15 E2g 3117 3117 0.00 124.27 0.75 0.86
16 E2g 1595 1595 0.00 17.14 0.75 0.86
16 E2g 1595 1595 0.00 18.04 0.75 0.86
17 E2g 1175 1175 0.00 10.28 0.75 0.86
17 E2g 1175 1175 0.00 10.81 0.75 0.86
18 E2g 610 610 0.00 1.34 0.75 0.86
18 E2g 610 610 0.00 1.37 0.75 0.86
19 E2u 962 962 0.00 0.00 0.00 0.00
19 E2u 962 962 0.00 0.00 0.00 0.00
20 E2u 401 401 0.00 0.00 0.00 0.00
20 E2u 401 401 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21583.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21583.7 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 B97D3/daug-cc-pVTZ
ABC
0.18982 0.18982 0.09491

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/daug-cc-pVTZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.396 0.000
C2 1.209 0.698 0.000
C3 1.209 -0.698 0.000
C4 0.000 -1.396 0.000
C5 -1.209 -0.698 0.000
C6 -1.209 0.698 0.000
H7 0.000 2.483 0.000
H8 2.150 1.241 0.000
H9 2.150 -1.241 0.000
H10 0.000 -2.483 0.000
H11 -2.150 -1.241 0.000
H12 -2.150 1.241 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39622.41832.79242.41831.39621.08632.15553.40273.87873.40272.1555
C21.39621.39622.41832.79242.41832.15551.08632.15553.40273.87873.4027
C32.41831.39621.39622.41832.79243.40272.15551.08632.15553.40273.8787
C42.79242.41831.39621.39622.41833.87873.40272.15551.08632.15553.4027
C52.41832.79242.41831.39621.39623.40273.87873.40272.15551.08632.1555
C61.39622.41832.79242.41831.39622.15553.40273.87873.40272.15551.0863
H71.08632.15553.40273.87873.40272.15552.48254.29984.96504.29982.4825
H82.15551.08632.15553.40273.87873.40272.48252.48254.29984.96504.2998
H93.40272.15551.08632.15553.40273.87874.29982.48252.48254.29984.9650
H103.87873.40272.15551.08632.15553.40274.96504.29982.48252.48254.2998
H113.40273.87873.40272.15551.08632.15554.29984.96504.29982.48252.4825
H122.15553.40273.87873.40272.15551.08632.48254.29984.96504.29982.4825

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 B97D3/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.256      
2 C -0.256      
3 C -0.256      
4 C -0.256      
5 C -0.256      
6 C -0.256      
7 H 0.256      
8 H 0.256      
9 H 0.256      
10 H 0.256      
11 H 0.256      
12 H 0.256      


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 -32.322 0.000 0.000
y 0.000 -32.322 0.000
z 0.000 0.000 -39.580
Traceless
 xyz
x 3.629 0.000 0.000
y 0.000 3.629 0.000
z 0.000 0.000 -7.258
Polar
3z2-r2-14.515
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 12.384 0.000 0.000
y 0.000 12.384 0.000
z 0.000 0.000 6.724


<r2> (average value of r2) Å2
<r2> 128.852
(<r2>)1/2 11.351