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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B97D3/cc-pVQZ

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/cc-pVQZ
 hartrees
Energy at 0K-232.187297
Energy at 298.15K-232.193526
HF Energy-232.187297
Nuclear repulsion energy203.309855
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/cc-pVQZ
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 3140 3140 0.00 463.43 0.09 0.16
2 A1g 995 995 0.00 71.33 0.06 0.11
3 A2g 1356 1356 0.00 0.00 0.75 0.86
4 A2u 667 667 98.86 0.00 0.00 0.00
5 B1u 3103 3103 0.00 0.00 0.00 0.00
6 B1u 1008 1008 0.00 0.00 0.00 0.00
7 B2g 979 979 0.00 0.00 0.75 0.86
8 B2g 704 704 0.00 0.00 0.75 0.86
9 B2u 1332 1332 0.00 0.00 0.00 0.00
10 B2u 1158 1158 0.00 0.00 0.00 0.00
11 E1g 837 837 0.00 0.01 0.75 0.86
11 E1g 837 837 0.00 0.01 0.75 0.86
12 E1u 3129 3129 49.61 0.00 0.00 0.00
12 E1u 3129 3129 49.62 0.00 0.00 0.00
13 E1u 1484 1484 6.06 0.00 0.00 0.00
13 E1u 1484 1484 6.06 0.00 0.00 0.00
14 E1u 1040 1040 4.70 0.00 0.00 0.00
14 E1u 1040 1040 4.70 0.00 0.00 0.00
15 E2g 3114 3114 0.00 142.86 0.75 0.86
15 E2g 3114 3114 0.00 143.36 0.75 0.86
16 E2g 1596 1596 0.00 9.94 0.75 0.86
16 E2g 1596 1596 0.00 9.83 0.75 0.86
17 E2g 1177 1177 0.00 6.32 0.75 0.86
17 E2g 1177 1177 0.00 6.29 0.75 0.86
18 E2g 611 611 0.00 3.19 0.75 0.86
18 E2g 611 611 0.00 3.16 0.75 0.86
19 E2u 948 948 0.00 0.00 0.00 0.00
19 E2u 948 948 0.00 0.00 0.00 0.00
20 E2u 399 399 0.00 0.00 0.00 0.00
20 E2u 399 399 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21555.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21555.8 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/cc-pVQZ
ABC
0.18991 0.18991 0.09496

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

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
C11.39582.41772.79172.41771.39581.08602.15493.40183.87773.40182.1549
C21.39581.39592.41772.79172.41772.15491.08602.15493.40183.87773.4018
C32.41771.39591.39582.41772.79173.40182.15491.08602.15493.40183.8777
C42.79172.41771.39581.39582.41773.87773.40182.15491.08602.15493.4018
C52.41772.79172.41771.39581.39593.40183.87773.40182.15491.08602.1549
C61.39582.41772.79172.41771.39592.15493.40183.87773.40182.15491.0860
H71.08602.15493.40183.87773.40182.15492.48194.29874.96374.29872.4819
H82.15491.08602.15493.40183.87773.40182.48192.48194.29874.96374.2987
H93.40182.15491.08602.15493.40183.87774.29872.48192.48194.29874.9637
H103.87773.40182.15491.08602.15493.40184.96374.29872.48192.48194.2987
H113.40183.87773.40182.15491.08602.15494.29874.96374.29872.48192.4819
H122.15493.40183.87773.40182.15491.08602.48194.29874.96374.29872.4819

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 B97D3/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.138      
2 C -0.138      
3 C -0.138      
4 C -0.138      
5 C -0.138      
6 C -0.138      
7 H 0.138      
8 H 0.138      
9 H 0.138      
10 H 0.138      
11 H 0.138      
12 H 0.138      


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 -32.134 0.000 0.000
y 0.000 -32.134 0.000
z 0.000 0.000 -39.388
Traceless
 xyz
x 3.627 0.000 0.000
y 0.000 3.627 0.000
z 0.000 0.000 -7.253
Polar
3z2-r2-14.506
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 11.993 0.000 0.000
y 0.000 11.993 0.000
z 0.000 0.000 5.878


<r2> (average value of r2) Å2
<r2> 128.681
(<r2>)1/2 11.344