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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B1B95/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B1B95/3-21G
 hartrees
Energy at 0K-230.855259
Energy at 298.15K-230.861718
HF Energy-230.855259
Nuclear repulsion energy203.937088
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 B1B95/3-21G
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 3253 3112 0.00 317.20 0.10 0.18
2 A1g 1030 986 0.00 50.80 0.11 0.21
3 A2g 1434 1372 0.00 0.00 0.75 0.86
4 A2u 706 676 137.10 0.00 0.00 0.00
5 B1u 3213 3074 0.00 0.00 0.00 0.00
6 B1u 1062 1016 0.00 0.00 0.00 0.00
7 B2g 1063 1017 0.00 0.00 0.75 0.86
8 B2g 758 725 0.00 0.00 0.75 0.86
9 B2u 1343 1285 0.00 0.00 0.00 0.00
10 B2u 1230 1177 0.00 0.00 0.00 0.00
11 E1g 890 851 0.00 5.93 0.75 0.86
11 E1g 890 851 0.00 5.91 0.75 0.86
12 E1u 3239 3099 26.53 0.00 0.00 0.00
12 E1u 3239 3099 26.60 0.00 0.00 0.00
13 E1u 1547 1480 13.48 0.00 0.00 0.00
13 E1u 1547 1480 13.41 0.00 0.00 0.00
14 E1u 1082 1035 4.71 0.00 0.00 0.00
14 E1u 1082 1035 4.75 0.00 0.00 0.00
15 E2g 3223 3083 0.00 117.21 0.75 0.86
15 E2g 3223 3083 0.00 117.19 0.75 0.86
16 E2g 1653 1581 0.00 11.54 0.75 0.86
16 E2g 1653 1581 0.00 11.54 0.75 0.86
17 E2g 1243 1190 0.00 8.16 0.75 0.86
17 E2g 1243 1190 0.00 8.16 0.75 0.86
18 E2g 643 615 0.00 3.52 0.75 0.86
18 E2g 643 615 0.00 3.52 0.75 0.86
19 E2u 1023 979 0.00 0.00 0.00 0.00
19 E2u 1023 979 0.00 0.00 0.00 0.00
20 E2u 420 402 0.00 0.00 0.00 0.00
20 E2u 420 402 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22508.9 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 21534.3 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 B1B95/3-21G
ABC
0.19107 0.19107 0.09553

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/3-21G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.392 0.000
C2 1.205 0.696 0.000
C3 1.205 -0.696 0.000
C4 0.000 -1.392 0.000
C5 -1.205 -0.696 0.000
C6 -1.205 0.696 0.000
H7 0.000 2.474 0.000
H8 2.142 1.237 0.000
H9 2.142 -1.237 0.000
H10 0.000 -2.474 0.000
H11 -2.142 -1.237 0.000
H12 -2.142 1.237 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39172.41052.78342.41051.39171.08202.14793.39103.86543.39102.1479
C21.39171.39172.41052.78342.41052.14791.08202.14793.39103.86543.3910
C32.41051.39171.39172.41052.78343.39102.14791.08202.14793.39103.8654
C42.78342.41051.39171.39172.41053.86543.39102.14791.08202.14793.3910
C52.41052.78342.41051.39171.39173.39103.86543.39102.14791.08202.1479
C61.39172.41052.78342.41051.39172.14793.39103.86543.39102.14791.0820
H71.08202.14793.39103.86543.39102.14792.47374.28464.94754.28462.4737
H82.14791.08202.14793.39103.86543.39102.47372.47374.28464.94754.2846
H93.39102.14791.08202.14793.39103.86544.28462.47372.47374.28464.9475
H103.86543.39102.14791.08202.14793.39104.94754.28462.47372.47374.2846
H113.39103.86543.39102.14791.08202.14794.28464.94754.28462.47372.4737
H122.14793.39103.86543.39102.14791.08202.47374.28464.94754.28462.4737

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 B1B95/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.214      
2 C -0.214      
3 C -0.214      
4 C -0.214      
5 C -0.214      
6 C -0.214      
7 H 0.214      
8 H 0.214      
9 H 0.214      
10 H 0.214      
11 H 0.214      
12 H 0.214      


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 -30.746 0.000 0.000
y 0.000 -30.746 0.000
z 0.000 0.000 -40.043
Traceless
 xyz
x 4.648 0.000 0.000
y 0.000 4.648 0.000
z 0.000 0.000 -9.297
Polar
3z2-r2-18.594
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 9.912 0.000 0.000
y 0.000 9.910 0.000
z 0.000 0.000 2.263


<r2> (average value of r2) Å2
<r2> 127.581
(<r2>)1/2 11.295