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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYPultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B3LYPultrafine/3-21G
 hartrees
Energy at 0K-230.975759
Energy at 298.15K-230.982201
HF Energy-230.975759
Nuclear repulsion energy203.184199
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 B3LYPultrafine/3-21G
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 3222 3109 0.00 322.05 0.10 0.18
2 A1g 1015 979 0.00 50.96 0.11 0.20
3 A2g 1437 1386 0.00 0.00 0.75 0.86
4 A2u 699 674 117.58 0.00 0.00 0.00
5 B1u 3184 3072 0.00 0.00 0.00 0.00
6 B1u 1064 1027 0.00 0.00 0.00 0.00
7 B2g 1048 1012 0.00 0.00 0.75 0.86
8 B2g 754 728 0.00 0.00 0.75 0.86
9 B2u 1317 1270 0.00 0.00 0.00 0.00
10 B2u 1228 1185 0.00 0.00 0.00 0.00
11 E1g 878 847 0.00 6.51 0.75 0.86
11 E1g 878 847 0.00 6.51 0.75 0.86
12 E1u 3209 3096 33.78 0.00 0.00 0.00
12 E1u 3209 3096 33.78 0.00 0.00 0.00
13 E1u 1540 1486 11.71 0.00 0.00 0.00
13 E1u 1540 1486 11.71 0.00 0.00 0.00
14 E1u 1069 1031 4.03 0.00 0.00 0.00
14 E1u 1069 1031 4.03 0.00 0.00 0.00
15 E2g 3192 3080 0.00 120.18 0.75 0.86
15 E2g 3192 3080 0.00 120.18 0.75 0.86
16 E2g 1627 1570 0.00 12.80 0.75 0.86
16 E2g 1627 1570 0.00 12.80 0.75 0.86
17 E2g 1238 1195 0.00 8.13 0.75 0.86
17 E2g 1238 1195 0.00 8.13 0.75 0.86
18 E2g 648 625 0.00 3.42 0.75 0.86
18 E2g 648 625 0.00 3.42 0.75 0.86
19 E2u 1008 973 0.00 0.00 0.00 0.00
19 E2u 1008 973 0.00 0.00 0.00 0.00
20 E2u 423 408 0.00 0.00 0.00 0.00
20 E2u 423 408 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22316.7 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 21533.3 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 B3LYPultrafine/3-21G
ABC
0.18961 0.18961 0.09481

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/3-21G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.397 0.000
C2 1.210 0.699 0.000
C3 1.210 -0.699 0.000
C4 0.000 -1.397 0.000
C5 -1.210 -0.699 0.000
C6 -1.210 0.699 0.000
H7 0.000 2.481 0.000
H8 2.149 1.241 0.000
H9 2.149 -1.241 0.000
H10 0.000 -2.481 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
C11.39732.42022.79462.42021.39731.08412.15473.40253.87873.40252.1547
C21.39731.39732.42022.79462.42022.15471.08412.15473.40253.87873.4025
C32.42021.39731.39732.42022.79463.40252.15471.08412.15473.40253.8787
C42.79462.42021.39731.39732.42023.87873.40252.15471.08412.15473.4025
C52.42022.79462.42021.39731.39733.40253.87873.40252.15471.08412.1547
C61.39732.42022.79462.42021.39732.15473.40253.87873.40252.15471.0841
H71.08412.15473.40253.87873.40252.15472.48144.29794.96284.29792.4814
H82.15471.08412.15473.40253.87873.40252.48142.48144.29794.96284.2979
H93.40252.15471.08412.15473.40253.87874.29792.48142.48144.29794.9628
H103.87873.40252.15471.08412.15473.40254.96284.29792.48142.48144.2979
H113.40253.87873.40252.15471.08412.15474.29794.96284.29792.48142.4814
H122.15473.40253.87873.40252.15471.08412.48144.29794.96284.29792.4814

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 B3LYPultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.186      
2 C -0.186      
3 C -0.186      
4 C -0.186      
5 C -0.186      
6 C -0.186      
7 H 0.186      
8 H 0.186      
9 H 0.186      
10 H 0.186      
11 H 0.186      
12 H 0.186      


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 -31.188 0.000 0.000
y 0.000 -31.188 0.000
z 0.000 0.000 -39.899
Traceless
 xyz
x 4.355 0.000 0.000
y 0.000 4.355 0.000
z 0.000 0.000 -8.711
Polar
3z2-r2-17.422
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 10.010 0.000 0.000
y 0.000 10.010 0.000
z 0.000 0.000 2.260


<r2> (average value of r2) Å2
<r2> 128.525
(<r2>)1/2 11.337