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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/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 wB97X-D/cc-pVQZ
 hartrees
Energy at 0K-232.258726
Energy at 298.15K-232.265128
HF Energy-232.258726
Nuclear repulsion energy204.554485
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 wB97X-D/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 3220 3220 0.00 403.48 0.09 0.17
2 A1g 1029 1029 0.00 70.51 0.05 0.10
3 A2g 1391 1391 0.00 0.00 0.75 0.86
4 A2u 697 697 111.03 0.00 0.00 0.00
5 B1u 3183 3183 0.00 0.00 0.00 0.00
6 B1u 1030 1030 0.00 0.00 0.00 0.00
7 B2g 1042 1042 0.00 0.00 0.75 0.86
8 B2g 734 734 0.00 0.00 0.75 0.86
9 B2u 1336 1336 0.00 0.00 0.00 0.00
10 B2u 1178 1178 0.00 0.00 0.00 0.00
11 E1g 881 881 0.00 0.14 0.75 0.86
11 E1g 881 881 0.00 0.13 0.75 0.86
12 E1u 3209 3209 32.21 0.00 0.00 0.00
12 E1u 3209 3209 32.10 0.00 0.00 0.00
13 E1u 1529 1529 8.18 0.00 0.00 0.00
13 E1u 1529 1529 8.18 0.00 0.00 0.00
14 E1u 1073 1073 5.57 0.00 0.00 0.00
14 E1u 1073 1073 5.55 0.00 0.00 0.00
15 E2g 3193 3193 0.00 124.58 0.75 0.86
15 E2g 3193 3193 0.00 124.70 0.75 0.86
16 E2g 1668 1668 0.00 11.00 0.75 0.86
16 E2g 1668 1668 0.00 10.72 0.75 0.86
17 E2g 1209 1209 0.00 6.14 0.75 0.86
17 E2g 1209 1209 0.00 6.28 0.75 0.86
18 E2g 627 627 0.00 3.29 0.75 0.86
18 E2g 627 627 0.00 3.27 0.75 0.86
19 E2u 1013 1013 0.00 0.00 0.00 0.00
19 E2u 1013 1013 0.00 0.00 0.00 0.00
20 E2u 416 416 0.00 0.00 0.00 0.00
20 E2u 416 416 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22237.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22237.6 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 wB97X-D/cc-pVQZ
ABC
0.19229 0.19229 0.09615

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVQZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.387 0.000
C2 1.201 0.693 0.000
C3 1.201 -0.693 0.000
C4 0.000 -1.387 0.000
C5 -1.201 -0.693 0.000
C6 -1.201 0.693 0.000
H7 0.000 2.468 0.000
H8 2.138 1.234 0.000
H9 2.138 -1.234 0.000
H10 0.000 -2.468 0.000
H11 -2.138 -1.234 0.000
H12 -2.138 1.234 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38692.40222.77382.40221.38691.08142.14313.38223.85523.38222.1431
C21.38691.38692.40222.77382.40222.14311.08142.14313.38223.85523.3822
C32.40221.38691.38692.40222.77383.38222.14311.08142.14313.38223.8552
C42.77382.40221.38691.38692.40223.85523.38222.14311.08142.14313.3822
C52.40222.77382.40221.38691.38693.38223.85523.38222.14311.08142.1431
C61.38692.40222.77382.40221.38692.14313.38223.85523.38222.14311.0814
H71.08142.14313.38223.85523.38222.14312.46834.27524.93664.27522.4683
H82.14311.08142.14313.38223.85523.38222.46832.46834.27524.93664.2752
H93.38222.14311.08142.14313.38223.85524.27522.46832.46834.27524.9366
H103.85523.38222.14311.08142.14313.38224.93664.27522.46832.46834.2752
H113.38223.85523.38222.14311.08142.14314.27524.93664.27522.46832.4683
H122.14313.38223.85523.38222.14311.08142.46834.27524.93664.27522.4683

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 wB97X-D/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.064      
2 C -0.064      
3 C -0.064      
4 C -0.064      
5 C -0.064      
6 C -0.064      
7 H 0.064      
8 H 0.064      
9 H 0.064      
10 H 0.064      
11 H 0.064      
12 H 0.064      


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 -31.624 0.000 0.000
y 0.000 -31.624 0.000
z 0.000 0.000 -39.486
Traceless
 xyz
x 3.931 0.000 0.000
y 0.000 3.931 0.000
z 0.000 0.000 -7.861
Polar
3z2-r2-15.723
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 11.571 0.000 0.000
y 0.000 11.567 0.000
z 0.000 0.000 5.820


<r2> (average value of r2) Å2
<r2> 127.189
(<r2>)1/2 11.278