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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/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 BLYP/6-31G
 hartrees
Energy at 0K-232.087465
Energy at 298.15K-232.093733
HF Energy-232.087465
Nuclear repulsion energy201.257709
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 BLYP/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 3142 3118 0.00 386.29 0.10 0.18
2 A1g 987 980 0.00 55.10 0.11 0.20
3 A2g 1381 1370 0.00 0.00 0.75 0.86
4 A2u 683 678 87.54 0.00 0.00 0.00
5 B1u 3099 3075 0.00 0.00 0.00 0.00
6 B1u 1018 1011 0.00 0.00 0.00 0.00
7 B2g 999 991 0.00 0.00 0.75 0.86
8 B2g 713 707 0.00 0.00 0.75 0.86
9 B2u 1331 1321 0.00 0.00 0.00 0.00
10 B2u 1189 1179 0.00 0.00 0.00 0.00
11 E1g 851 845 0.00 7.40 0.75 0.86
11 E1g 851 845 0.00 7.40 0.75 0.86
12 E1u 3127 3103 68.45 0.00 0.00 0.00
12 E1u 3127 3103 68.45 0.00 0.00 0.00
13 E1u 1496 1485 6.36 0.00 0.00 0.00
13 E1u 1496 1485 6.36 0.00 0.00 0.00
14 E1u 1044 1036 3.19 0.00 0.00 0.00
14 E1u 1044 1036 3.19 0.00 0.00 0.00
15 E2g 3109 3085 0.00 142.73 0.75 0.86
15 E2g 3109 3085 0.00 142.73 0.75 0.86
16 E2g 1591 1578 0.00 13.22 0.75 0.86
16 E2g 1591 1578 0.00 13.22 0.75 0.86
17 E2g 1199 1190 0.00 10.56 0.75 0.86
17 E2g 1199 1190 0.00 10.56 0.75 0.86
18 E2g 622 617 0.00 3.56 0.75 0.86
18 E2g 622 617 0.00 3.55 0.75 0.86
19 E2u 954 947 0.00 0.00 0.00 0.00
19 E2u 954 947 0.00 0.00 0.00 0.00
20 E2u 408 405 0.00 0.00 0.00 0.00
20 E2u 408 405 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21671.1 cm-1
Scaled (by 0.9924) Zero Point Vibrational Energy (zpe) 21506.4 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 BLYP/6-31G
ABC
0.18601 0.18601 0.09300

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.411 0.000
C2 1.222 0.705 0.000
C3 1.222 -0.705 0.000
C4 0.000 -1.411 0.000
C5 -1.222 -0.705 0.000
C6 -1.222 0.705 0.000
H7 0.000 2.504 0.000
H8 2.169 1.252 0.000
H9 2.169 -1.252 0.000
H10 0.000 -2.504 0.000
H11 -2.169 -1.252 0.000
H12 -2.169 1.252 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.41102.44382.82192.44381.41101.09332.17453.43443.91523.43442.1745
C21.41101.41102.44382.82192.44382.17451.09332.17453.43443.91523.4344
C32.44381.41101.41102.44382.82193.43442.17451.09332.17453.43443.9152
C42.82192.44381.41101.41102.44383.91523.43442.17451.09332.17453.4344
C52.44382.82192.44381.41101.41103.43443.91523.43442.17451.09332.1745
C61.41102.44382.82192.44381.41102.17453.43443.91523.43442.17451.0933
H71.09332.17453.43443.91523.43442.17452.50424.33755.00854.33752.5042
H82.17451.09332.17453.43443.91523.43442.50422.50424.33755.00854.3375
H93.43442.17451.09332.17453.43443.91524.33752.50422.50424.33755.0085
H103.91523.43442.17451.09332.17453.43445.00854.33752.50422.50424.3375
H113.43443.91523.43442.17451.09332.17454.33755.00854.33752.50422.5042
H122.17453.43443.91523.43442.17451.09332.50424.33755.00854.33752.5042

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.095      
2 C -0.095      
3 C -0.095      
4 C -0.095      
5 C -0.095      
6 C -0.095      
7 H 0.095      
8 H 0.095      
9 H 0.095      
10 H 0.095      
11 H 0.095      
12 H 0.095      


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 -31.872 0.000 0.000
y 0.000 -31.872 0.000
z 0.000 0.000 -38.742
Traceless
 xyz
x 3.435 0.000 0.000
y 0.000 3.435 0.000
z 0.000 0.000 -6.870
Polar
3z2-r2-13.741
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 10.774 0.000 0.000
y 0.000 10.774 0.000
z 0.000 0.000 2.809


<r2> (average value of r2) Å2
<r2> 130.632
(<r2>)1/2 11.429