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All results from a given calculation for C6H6 (Benzene)

using model chemistry: M06-2X/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at M06-2X/6-311G*
 hartrees
Energy at 0K-232.187882
Energy at 298.15K-232.194225
HF Energy-232.187882
Nuclear repulsion energy203.939026
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 M06-2X/6-311G*
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 3236 3236 0.00 374.51 0.12 0.22
2 A1g 1032 1032 0.00 57.27 0.09 0.16
3 A2g 1385 1385 0.00 0.00 0.75 0.86
4 A2u 690 690 129.42 0.00 0.00 0.00
5 B1u 3202 3202 0.00 0.00 0.00 0.00
6 B1u 1019 1019 0.00 0.00 0.00 0.00
7 B2g 1026 1026 0.00 0.00 0.75 0.86
8 B2g 724 724 0.00 0.00 0.75 0.86
9 B2u 1333 1333 0.00 0.00 0.00 0.00
10 B2u 1172 1172 0.00 0.00 0.00 0.00
11 E1g 873 873 0.00 0.71 0.75 0.86
11 E1g 873 873 0.00 0.72 0.75 0.86
12 E1u 3226 3226 36.62 0.00 0.00 0.00
12 E1u 3226 3226 36.86 0.00 0.00 0.00
13 E1u 1531 1531 9.15 0.00 0.00 0.00
13 E1u 1531 1531 9.23 0.00 0.00 0.00
14 E1u 1075 1075 5.50 0.00 0.00 0.00
14 E1u 1075 1075 5.46 0.00 0.00 0.00
15 E2g 3211 3211 0.00 128.18 0.75 0.86
15 E2g 3211 3211 0.00 127.73 0.75 0.86
16 E2g 1677 1677 0.00 8.41 0.75 0.86
16 E2g 1677 1677 0.00 8.42 0.75 0.86
17 E2g 1205 1205 0.00 5.89 0.75 0.86
17 E2g 1205 1205 0.00 5.94 0.75 0.86
18 E2g 620 620 0.00 4.69 0.75 0.86
18 E2g 620 620 0.00 4.66 0.75 0.86
19 E2u 991 991 0.00 0.00 0.00 0.00
19 E2u 991 991 0.00 0.00 0.00 0.00
20 E2u 412 412 0.00 0.00 0.00 0.00
20 E2u 412 412 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22230.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22230.4 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 M06-2X/6-311G*
ABC
0.19113 0.19113 0.09556

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.391 0.000
C2 1.205 0.696 0.000
C3 1.205 -0.696 0.000
C4 0.000 -1.391 0.000
C5 -1.205 -0.696 0.000
C6 -1.205 0.696 0.000
H7 0.000 2.475 0.000
H8 2.144 1.238 0.000
H9 2.144 -1.238 0.000
H10 0.000 -2.475 0.000
H11 -2.144 -1.238 0.000
H12 -2.144 1.238 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39122.40962.78232.40961.39121.08432.14933.39223.86663.39222.1493
C21.39121.39122.40962.78232.40962.14931.08432.14933.39223.86663.3922
C32.40961.39121.39122.40962.78233.39222.14931.08432.14933.39223.8666
C42.78232.40961.39121.39122.40963.86663.39222.14931.08432.14933.3922
C52.40962.78232.40961.39121.39123.39223.86663.39222.14931.08432.1493
C61.39122.40962.78232.40961.39122.14933.39223.86663.39222.14931.0843
H71.08432.14933.39223.86663.39222.14932.47554.28764.95094.28762.4755
H82.14931.08432.14933.39223.86663.39222.47552.47554.28764.95094.2876
H93.39222.14931.08432.14933.39223.86664.28762.47552.47554.28764.9509
H103.86663.39222.14931.08432.14933.39224.95094.28762.47552.47554.2876
H113.39223.86663.39222.14931.08432.14934.28764.95094.28762.47552.4755
H122.14933.39223.86663.39222.14931.08432.47554.28764.95094.28762.4755

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 M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.222      
2 C -0.222      
3 C -0.222      
4 C -0.222      
5 C -0.222      
6 C -0.222      
7 H 0.222      
8 H 0.222      
9 H 0.222      
10 H 0.222      
11 H 0.222      
12 H 0.222      


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 -31.398 0.000 0.000
y 0.000 -31.398 0.000
z 0.000 0.000 -40.219
Traceless
 xyz
x 4.411 0.000 0.000
y 0.000 4.411 0.000
z 0.000 0.000 -8.821
Polar
3z2-r2-17.642
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 10.790 0.000 0.000
y 0.000 10.773 0.000
z 0.000 0.000 4.059


<r2> (average value of r2) Å2
<r2> 127.887
(<r2>)1/2 11.309