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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/CEP-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/CEP-31G
 hartrees
Energy at 0K-37.436426
Energy at 298.15K-37.442754
HF Energy-37.436426
Nuclear repulsion energy101.258728
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/CEP-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 3215 3114 0.00 357.06 0.23 0.37
2 A1g 997 965 0.00 67.87 0.12 0.22
3 A2g 1372 1329 0.00 0.00 0.75 0.86
4 A2u 726 703 201.45 0.00 0.00 0.00
5 B1u 3148 3048 0.00 0.00 0.00 0.00
6 B1u 993 962 0.00 0.00 0.00 0.00
7 B2g 1048 1015 0.00 0.00 0.75 0.86
8 B2g 708 685 0.00 0.00 0.75 0.86
9 B2u 1382 1338 0.00 0.00 0.00 0.00
10 B2u 1178 1141 0.00 0.00 0.00 0.00
11 E1g 901 872 0.00 9.49 0.75 0.86
11 E1g 901 872 0.00 9.48 0.75 0.86
12 E1u 3195 3094 76.99 0.00 0.00 0.00
12 E1u 3195 3094 77.01 0.00 0.00 0.00
13 E1u 1496 1449 12.06 0.00 0.00 0.00
13 E1u 1496 1449 12.05 0.00 0.00 0.00
14 E1u 1056 1022 8.66 0.00 0.00 0.00
14 E1u 1056 1022 8.66 0.00 0.00 0.00
15 E2g 3166 3066 0.00 98.46 0.75 0.86
15 E2g 3166 3066 0.00 98.47 0.75 0.86
16 E2g 1636 1584 0.00 11.84 0.75 0.86
16 E2g 1636 1584 0.00 11.84 0.75 0.86
17 E2g 1200 1162 0.00 5.01 0.75 0.86
17 E2g 1200 1162 0.00 5.01 0.75 0.86
18 E2g 605 586 0.00 9.15 0.75 0.86
18 E2g 605 586 0.00 9.15 0.75 0.86
19 E2u 1026 993 0.00 0.00 0.00 0.00
19 E2u 1026 993 0.00 0.00 0.00 0.00
20 E2u 410 397 0.00 0.00 0.00 0.00
20 E2u 410 397 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22072.4 cm-1
Scaled (by 0.9684) Zero Point Vibrational Energy (zpe) 21374.9 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/CEP-31G
ABC
0.18276 0.18276 0.09138

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.425 0.000
C2 1.234 0.712 0.000
C3 1.234 -0.712 0.000
C4 0.000 -1.425 0.000
C5 -1.234 -0.712 0.000
C6 -1.234 0.712 0.000
H7 0.000 2.518 0.000
H8 2.181 1.259 0.000
H9 2.181 -1.259 0.000
H10 0.000 -2.518 0.000
H11 -2.181 -1.259 0.000
H12 -2.181 1.259 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.42462.46762.84932.46761.42461.09362.18713.45813.94283.45812.1871
C21.42461.42462.46762.84932.46762.18711.09362.18713.45813.94283.4581
C32.46761.42461.42462.46762.84933.45812.18711.09362.18713.45813.9428
C42.84932.46761.42461.42462.46763.94283.45812.18711.09362.18713.4581
C52.46762.84932.46761.42461.42463.45813.94283.45812.18711.09362.1871
C61.42462.46762.84932.46761.42462.18713.45813.94283.45812.18711.0936
H71.09362.18713.45813.94283.45812.18712.51824.36165.03644.36162.5182
H82.18711.09362.18713.45813.94283.45812.51822.51824.36165.03644.3616
H93.45812.18711.09362.18713.45813.94284.36162.51822.51824.36165.0364
H103.94283.45812.18711.09362.18713.45815.03644.36162.51822.51824.3616
H113.45813.94283.45812.18711.09362.18714.36165.03644.36162.51822.5182
H122.18713.45813.94283.45812.18711.09362.51824.36165.03644.36162.5182

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/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.267      
2 C -0.267      
3 C -0.267      
4 C -0.267      
5 C -0.267      
6 C -0.267      
7 H 0.267      
8 H 0.267      
9 H 0.267      
10 H 0.267      
11 H 0.267      
12 H 0.267      


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 -30.866 0.000 0.000
y 0.000 -30.866 0.000
z 0.000 0.000 -40.096
Traceless
 xyz
x 4.615 0.000 0.000
y 0.000 4.615 0.000
z 0.000 0.000 -9.230
Polar
3z2-r2-18.459
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 10.768 0.000 0.000
y 0.000 10.769 0.000
z 0.000 0.000 3.785


<r2> (average value of r2) Å2
<r2> 107.959
(<r2>)1/2 10.390