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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B2PLYP/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 B2PLYP/6-31G*
 hartrees
Energy at 0K-231.975351
Energy at 298.15K-231.981624
HF Energy-231.723685
Nuclear repulsion energy203.264546
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/6-31G*
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 3239 3074 0.00 365.98 0.10 0.19
2 A1g 1024 972 0.00 51.31 0.10 0.19
3 A2g 1396 1325 0.00 0.00 0.75 0.86
4 A2u 695 659 85.86 0.00 0.00 0.00
5 B1u 3204 3041 0.00 0.00 0.00 0.00
6 B1u 1024 972 0.00 0.00 0.00 0.00
7 B2g 971 922 0.00 0.00 0.75 0.86
8 B2g 676 642 0.00 0.00 0.75 0.86
9 B2u 1382 1311 0.00 0.00 0.00 0.00
10 B2u 1197 1136 0.00 0.00 0.00 0.00
11 E1g 863 819 0.00 5.68 0.75 0.86
11 E1g 863 819 0.00 5.68 0.75 0.86
12 E1u 3229 3065 45.81 0.00 0.68 0.81
12 E1u 3229 3065 45.81 0.00 0.00 0.00
13 E1u 1539 1461 7.75 0.00 0.00 0.00
13 E1u 1539 1461 7.75 0.00 0.00 0.00
14 E1u 1076 1022 3.29 0.00 0.00 0.00
14 E1u 1076 1022 3.29 0.00 0.00 0.00
15 E2g 3213 3050 0.00 131.50 0.75 0.86
15 E2g 3213 3050 0.00 131.50 0.75 0.86
16 E2g 1665 1581 0.00 10.99 0.75 0.86
16 E2g 1665 1581 0.00 10.99 0.75 0.86
17 E2g 1219 1157 0.00 9.50 0.75 0.86
17 E2g 1219 1157 0.00 9.50 0.75 0.86
18 E2g 623 591 0.00 3.55 0.75 0.86
18 E2g 623 591 0.00 3.54 0.75 0.86
19 E2u 952 903 0.00 0.00 0.00 0.00
19 E2u 952 903 0.00 0.00 0.00 0.00
20 E2u 411 390 0.00 0.00 0.00 0.00
20 E2u 411 390 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22193.8 cm-1
Scaled (by 0.9492) Zero Point Vibrational Energy (zpe) 21066.4 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/6-31G*
ABC
0.18981 0.18981 0.09491

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

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 2.482 0.000
H8 2.149 1.241 0.000
H9 2.149 -1.241 0.000
H10 0.000 -2.482 0.000
H11 -2.149 -1.241 0.000
H12 -2.149 1.241 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39632.41852.79262.41851.39631.08562.15503.40223.87823.40222.1550
C21.39631.39632.41852.79262.41852.15501.08562.15503.40223.87823.4022
C32.41851.39631.39632.41852.79263.40222.15501.08562.15503.40223.8782
C42.79262.41851.39631.39632.41853.87823.40222.15501.08562.15503.4022
C52.41852.79262.41851.39631.39633.40223.87823.40222.15501.08562.1550
C61.39632.41852.79262.41851.39632.15503.40223.87823.40222.15501.0856
H71.08562.15503.40223.87823.40222.15502.48194.29874.96384.29872.4819
H82.15501.08562.15503.40223.87823.40222.48192.48194.29874.96384.2987
H93.40222.15501.08562.15503.40223.87824.29872.48192.48194.29874.9638
H103.87823.40222.15501.08562.15503.40224.96384.29872.48192.48194.2987
H113.40223.87823.40222.15501.08562.15504.29874.96384.29872.48192.4819
H122.15503.40223.87823.40222.15501.08562.48194.29874.96384.29872.4819

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/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.148      
2 C -0.148      
3 C -0.148      
4 C -0.148      
5 C -0.148      
6 C -0.148      
7 H 0.148      
8 H 0.148      
9 H 0.148      
10 H 0.148      
11 H 0.148      
12 H 0.148      


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 -31.484 0.000 0.000
y 0.000 -31.484 0.000
z 0.000 0.000 -38.860
Traceless
 xyz
x 3.688 0.000 0.000
y 0.000 3.688 0.000
z 0.000 0.000 -7.376
Polar
3z2-r2-14.752
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 10.452 0.000 0.000
y 0.000 10.453 0.000
z 0.000 0.000 3.075


<r2> (average value of r2) Å2
<r2> 128.348
(<r2>)1/2 11.329