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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/6-31G

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/6-31G
 hartrees
Energy at 0K-232.198700
Energy at 298.15K-232.205120
HF Energy-232.198700
Nuclear repulsion energy202.748560
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/6-31G
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 3226 3103 0.00 369.36 0.10 0.18
2 A1g 1022 983 0.00 54.95 0.12 0.21
3 A2g 1420 1366 0.00 0.00 0.75 0.86
4 A2u 707 680 102.63 0.00 0.00 0.00
5 B1u 3184 3063 0.00 0.00 0.00 0.00
6 B1u 1049 1009 0.00 0.00 0.00 0.00
7 B2g 1046 1006 0.00 0.00 0.75 0.86
8 B2g 738 710 0.00 0.00 0.75 0.86
9 B2u 1366 1314 0.00 0.00 0.00 0.00
10 B2u 1218 1172 0.00 0.00 0.00 0.00
11 E1g 885 851 0.00 5.94 0.75 0.86
11 E1g 885 851 0.00 5.94 0.75 0.86
12 E1u 3212 3090 56.40 0.00 0.00 0.00
12 E1u 3212 3090 56.40 0.00 0.00 0.00
13 E1u 1541 1483 8.68 0.00 0.00 0.00
13 E1u 1541 1483 8.68 0.00 0.00 0.00
14 E1u 1077 1037 3.86 0.00 0.00 0.00
14 E1u 1077 1037 3.86 0.00 0.00 0.00
15 E2g 3194 3072 0.00 134.24 0.75 0.86
15 E2g 3194 3072 0.00 134.24 0.75 0.86
16 E2g 1654 1591 0.00 12.94 0.75 0.86
16 E2g 1654 1591 0.00 12.94 0.75 0.86
17 E2g 1232 1185 0.00 9.65 0.75 0.86
17 E2g 1232 1185 0.00 9.65 0.75 0.86
18 E2g 640 615 0.00 3.58 0.75 0.86
18 E2g 640 615 0.00 3.58 0.75 0.86
19 E2u 1001 963 0.00 0.00 0.00 0.00
19 E2u 1001 963 0.00 0.00 0.00 0.00
20 E2u 422 406 0.00 0.00 0.00 0.00
20 E2u 422 406 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22346.4 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 21497.2 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 B3LYP/6-31G
ABC
0.18878 0.18878 0.09439

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.400 0.000
C2 1.213 0.700 0.000
C3 1.213 -0.700 0.000
C4 0.000 -1.400 0.000
C5 -1.213 -0.700 0.000
C6 -1.213 0.700 0.000
H7 0.000 2.486 0.000
H8 2.153 1.243 0.000
H9 2.153 -1.243 0.000
H10 0.000 -2.486 0.000
H11 -2.153 -1.243 0.000
H12 -2.153 1.243 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40052.42572.80092.42571.40051.08572.15893.40943.88673.40942.1589
C21.40051.40052.42572.80092.42572.15891.08572.15893.40943.88673.4094
C32.42571.40051.40052.42572.80093.40942.15891.08572.15893.40943.8867
C42.80092.42571.40051.40052.42573.88673.40942.15891.08572.15893.4094
C52.42572.80092.42571.40051.40053.40943.88673.40942.15891.08572.1589
C61.40052.42572.80092.42571.40052.15893.40943.88673.40942.15891.0857
H71.08572.15893.40943.88673.40942.15892.48624.30624.97244.30622.4862
H82.15891.08572.15893.40943.88673.40942.48622.48624.30624.97244.3062
H93.40942.15891.08572.15893.40943.88674.30622.48622.48624.30624.9724
H103.88673.40942.15891.08572.15893.40944.97244.30622.48622.48624.3062
H113.40943.88673.40942.15891.08572.15894.30624.97244.30622.48622.4862
H122.15893.40943.88673.40942.15891.08572.48624.30624.97244.30622.4862

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.125      
2 C -0.125      
3 C -0.125      
4 C -0.125      
5 C -0.125      
6 C -0.125      
7 H 0.125      
8 H 0.125      
9 H 0.125      
10 H 0.125      
11 H 0.125      
12 H 0.125      


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 -31.573 0.000 0.000
y 0.000 -31.573 0.000
z 0.000 0.000 -38.911
Traceless
 xyz
x 3.669 0.000 0.000
y 0.000 3.669 0.000
z 0.000 0.000 -7.338
Polar
3z2-r2-14.675
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 10.466 0.000 0.000
y 0.000 10.466 0.000
z 0.000 0.000 2.777


<r2> (average value of r2) Å2
<r2> 128.942
(<r2>)1/2 11.355