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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HF/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at HF/Def2TZVPP
 hartrees
Energy at 0K-230.787450
Energy at 298.15K-230.794110
HF Energy-230.787450
Nuclear repulsion energy205.327089
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 HF/Def2TZVPP
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 3351 3037 0.00 379.17 0.11 0.20
2 A1g 1072 972 0.00 75.42 0.04 0.08
3 A2g 1499 1358 0.00 0.00 0.00 0.00
4 A2u 759 688 134.52 0.00 0.00 0.00
5 B1u 3310 3000 0.00 0.00 0.00 0.00
6 B1u 1096 993 0.00 0.00 0.00 0.00
7 B2g 1121 1016 0.00 0.00 0.00 0.00
8 B2g 771 698 0.00 0.00 0.00 0.00
9 B2u 1337 1212 0.00 0.00 0.00 0.00
10 B2u 1171 1061 0.00 0.00 0.00 0.00
11 E1g 956 867 0.00 0.56 0.75 0.86
11 E1g 956 867 0.00 0.56 0.75 0.86
12 E1u 3340 3027 45.89 0.00 0.00 0.00
12 E1u 3340 3027 45.89 0.00 0.00 0.00
13 E1u 1635 1482 10.81 0.00 0.00 0.00
13 E1u 1635 1482 10.81 0.00 0.00 0.00
14 E1u 1129 1023 3.82 0.00 0.00 0.00
14 E1u 1129 1023 3.82 0.00 0.00 0.00
15 E2g 3321 3010 0.00 119.30 0.75 0.86
15 E2g 3321 3010 0.00 119.30 0.75 0.86
16 E2g 1773 1607 0.00 12.89 0.75 0.86
16 E2g 1773 1607 0.00 12.89 0.75 0.86
17 E2g 1282 1162 0.00 4.49 0.75 0.86
17 E2g 1282 1162 0.00 4.49 0.75 0.86
18 E2g 663 601 0.00 4.36 0.75 0.86
18 E2g 663 601 0.00 4.36 0.75 0.86
19 E2u 1102 998 0.00 0.00 0.00 0.00
19 E2u 1102 998 0.00 0.00 0.00 0.00
20 E2u 451 409 0.00 0.00 0.00 0.00
20 E2u 451 409 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 23393.9 cm-1
Scaled (by 0.9064) Zero Point Vibrational Energy (zpe) 21204.2 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 HF/Def2TZVPP
ABC
0.19365 0.19365 0.09682

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/Def2TZVPP

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.383 0.000
C2 1.197 0.691 0.000
C3 1.197 -0.691 0.000
C4 0.000 -1.383 0.000
C5 -1.197 -0.691 0.000
C6 -1.197 0.691 0.000
H7 0.000 2.456 0.000
H8 2.127 1.228 0.000
H9 2.127 -1.228 0.000
H10 0.000 -2.456 0.000
H11 -2.127 -1.228 0.000
H12 -2.127 1.228 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38262.39472.76522.39471.38261.07342.13253.36733.83853.36732.1325
C21.38261.38262.39472.76522.39472.13251.07342.13253.36733.83853.3673
C32.39471.38261.38262.39472.76523.36732.13251.07342.13253.36733.8385
C42.76522.39471.38261.38262.39473.83853.36732.13251.07342.13253.3673
C52.39472.76522.39471.38261.38263.36733.83853.36732.13251.07342.1325
C61.38262.39472.76522.39471.38262.13253.36733.83853.36732.13251.0734
H71.07342.13253.36733.83853.36732.13252.45604.25384.91194.25382.4560
H82.13251.07342.13253.36733.83853.36732.45602.45604.25384.91194.2538
H93.36732.13251.07342.13253.36733.83854.25382.45602.45604.25384.9119
H103.83853.36732.13251.07342.13253.36734.91194.25382.45602.45604.2538
H113.36733.83853.36732.13251.07342.13254.25384.91194.25382.45602.4560
H122.13253.36733.83853.36732.13251.07342.45604.25384.91194.25382.4560

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 HF/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.092      
2 C -0.092      
3 C -0.092      
4 C -0.092      
5 C -0.092      
6 C -0.092      
7 H 0.092      
8 H 0.092      
9 H 0.092      
10 H 0.092      
11 H 0.092      
12 H 0.092      


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 -31.892 0.000 0.000
y 0.000 -31.892 0.000
z 0.000 0.000 -40.560
Traceless
 xyz
x 4.334 0.000 0.000
y 0.000 4.334 0.000
z 0.000 0.000 -8.668
Polar
3z2-r2-17.336
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 11.061 0.000 0.000
y 0.000 11.061 0.000
z 0.000 0.000 5.841


<r2> (average value of r2) Å2
<r2> 126.730
(<r2>)1/2 11.257