return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzene)

using model chemistry: B2PLYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B2PLYP/6-31+G**
 hartrees
Energy at 0K-232.007868
Energy at 298.15K-232.014110
HF Energy-231.742956
Nuclear repulsion energy203.077829
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 B2PLYP/6-31+G**
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 3242 3088 0.00 421.88 0.12 0.22
2 A1g 1016 967 0.00 81.03 0.03 0.06
3 A2g 1389 1323 0.00 0.00 0.75 0.86
4 A2u 687 654 130.10 0.00 0.00 0.00
5 B1u 3208 3055 0.00 0.00 0.52 0.68
6 B1u 1020 971 0.00 0.00 0.02 0.05
7 B2g 961 915 0.00 0.00 0.75 0.86
8 B2g 627 597 0.00 0.00 0.75 0.86
9 B2u 1380 1315 0.00 0.00 0.00 0.00
10 B2u 1186 1130 0.00 0.00 0.00 0.00
11 E1g 858 817 0.00 1.26 0.75 0.86
11 E1g 858 817 0.00 1.26 0.75 0.86
12 E1u 3233 3079 39.46 0.00 0.00 0.00
12 E1u 3233 3079 39.47 0.00 0.00 0.00
13 E1u 1525 1453 6.21 0.00 0.00 0.00
13 E1u 1525 1453 6.21 0.00 0.00 0.00
14 E1u 1068 1017 5.71 0.00 0.00 0.00
14 E1u 1068 1017 5.71 0.00 0.00 0.00
15 E2g 3217 3064 0.00 135.63 0.75 0.86
15 E2g 3217 3064 0.00 135.64 0.75 0.86
16 E2g 1652 1574 0.00 13.42 0.75 0.86
16 E2g 1652 1574 0.00 13.43 0.75 0.86
17 E2g 1209 1151 0.00 5.60 0.75 0.86
17 E2g 1209 1151 0.00 5.60 0.75 0.86
18 E2g 620 590 0.00 4.77 0.75 0.86
18 E2g 620 590 0.00 4.77 0.75 0.86
19 E2u 960 915 0.00 0.00 0.00 0.00
19 E2u 960 915 0.00 0.00 0.00 0.00
20 E2u 403 384 0.00 0.00 0.00 0.00
20 E2u 403 383 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22102.2 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 21050.2 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 B2PLYP/6-31+G**
ABC
0.18940 0.18940 0.09470

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.398 0.000
C2 1.211 0.699 0.000
C3 1.211 -0.699 0.000
C4 0.000 -1.398 0.000
C5 -1.211 -0.699 0.000
C6 -1.211 0.699 0.000
H7 0.000 2.482 0.000
H8 2.150 1.241 0.000
H9 2.150 -1.241 0.000
H10 0.000 -2.482 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
C11.39822.42172.79632.42171.39821.08412.15543.40403.88043.40402.1554
C21.39821.39822.42172.79632.42172.15541.08412.15543.40403.88043.4040
C32.42171.39821.39822.42172.79633.40402.15541.08412.15543.40403.8804
C42.79632.42171.39821.39822.42173.88043.40402.15541.08412.15543.4040
C52.42172.79632.42171.39821.39823.40403.88043.40402.15541.08412.1554
C61.39822.42172.79632.42171.39822.15543.40403.88043.40402.15541.0841
H71.08412.15543.40403.88043.40402.15542.48224.29944.96454.29942.4822
H82.15541.08412.15543.40403.88043.40402.48222.48224.29944.96454.2994
H93.40402.15541.08412.15543.40403.88044.29942.48222.48224.29944.9645
H103.88043.40402.15541.08412.15543.40404.96454.29942.48222.48224.2994
H113.40403.88043.40402.15541.08412.15544.29944.96454.29942.48222.4822
H122.15543.40403.88043.40402.15541.08412.48224.29944.96454.29942.4822

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 B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.136      
2 C -0.136      
3 C -0.136      
4 C -0.136      
5 C -0.136      
6 C -0.136      
7 H 0.136      
8 H 0.136      
9 H 0.136      
10 H 0.136      
11 H 0.136      
12 H 0.136      


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 -32.373 0.000 0.000
y 0.000 -32.373 0.000
z 0.000 0.000 -40.597
Traceless
 xyz
x 4.112 0.000 0.000
y 0.000 4.112 0.000
z 0.000 0.000 -8.224
Polar
3z2-r2-16.449
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 11.586 0.000 0.000
y 0.000 11.586 0.000
z 0.000 0.000 6.097


<r2> (average value of r2) Å2
<r2> 129.277
(<r2>)1/2 11.370