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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HF/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 HF/3-21G*
 hartrees
Energy at 0K-229.419445
Energy at 298.15K-229.426236
HF Energy-229.419445
Nuclear repulsion energy205.111362
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/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 3388 3058 0.00 320.05 0.10 0.18
2 A1g 1078 973 0.00 53.69 0.12 0.21
3 A2g 1544 1394 0.00 0.00 0.00 0.00
4 A2u 785 708 152.46 0.00 0.00 0.00
5 B1u 3345 3019 0.00 0.00 0.00 0.00
6 B1u 1148 1036 0.00 0.00 0.00 0.00
7 B2g 1200 1083 0.00 0.00 0.00 0.00
8 B2g 820 740 0.00 0.00 0.00 0.00
9 B2u 1366 1233 0.00 0.00 0.00 0.00
10 B2u 1235 1114 0.00 0.00 0.00 0.00
11 E1g 995 898 0.00 5.01 0.75 0.86
11 E1g 995 898 0.00 5.01 0.75 0.86
12 E1u 3373 3045 38.68 0.00 0.00 0.00
12 E1u 3373 3045 38.68 0.00 0.00 0.00
13 E1u 1658 1497 15.99 0.00 0.00 0.00
13 E1u 1658 1497 15.99 0.00 0.00 0.00
14 E1u 1137 1026 3.65 0.00 0.00 0.00
14 E1u 1137 1026 3.65 0.00 0.00 0.00
15 E2g 3355 3028 0.00 119.03 0.75 0.86
15 E2g 3355 3028 0.00 119.03 0.75 0.86
16 E2g 1764 1592 0.00 14.14 0.75 0.86
16 E2g 1764 1592 0.00 14.14 0.75 0.86
17 E2g 1323 1194 0.00 6.30 0.75 0.86
17 E2g 1323 1194 0.00 6.30 0.75 0.86
18 E2g 698 630 0.00 3.56 0.75 0.86
18 E2g 698 630 0.00 3.56 0.75 0.86
19 E2u 1157 1044 0.00 0.00 0.00 0.00
19 E2u 1157 1044 0.00 0.00 0.00 0.00
20 E2u 466 421 0.00 0.00 0.00 0.00
20 E2u 466 421 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 23880.3 cm-1
Scaled (by 0.9026) Zero Point Vibrational Energy (zpe) 21554.4 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 HF/3-21G*
ABC
0.19318 0.19318 0.09659

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.385 0.000
C2 1.199 0.692 0.000
C3 1.199 -0.692 0.000
C4 0.000 -1.385 0.000
C5 -1.199 -0.692 0.000
C6 -1.199 0.692 0.000
H7 0.000 2.457 0.000
H8 2.128 1.228 0.000
H9 2.128 -1.228 0.000
H10 0.000 -2.457 0.000
H11 -2.128 -1.228 0.000
H12 -2.128 1.228 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38462.39822.76922.39821.38461.07212.13333.36963.84133.36962.1333
C21.38461.38462.39822.76922.39822.13331.07212.13333.36963.84133.3696
C32.39821.38461.38462.39822.76923.36962.13331.07212.13333.36963.8413
C42.76922.39821.38461.38462.39823.84133.36962.13331.07212.13333.3696
C52.39822.76922.39821.38461.38463.36963.84133.36962.13331.07212.1333
C61.38462.39822.76922.39821.38462.13333.36963.84133.36962.13331.0721
H71.07212.13333.36963.84133.36962.13332.45674.25514.91344.25512.4567
H82.13331.07212.13333.36963.84133.36962.45672.45674.25514.91344.2551
H93.36962.13331.07212.13333.36963.84134.25512.45672.45674.25514.9134
H103.84133.36962.13331.07212.13333.36964.91344.25512.45672.45674.2551
H113.36963.84133.36962.13331.07212.13334.25514.91344.25512.45672.4567
H122.13333.36963.84133.36962.13331.07212.45674.25514.91344.25512.4567

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 HF/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.239      
2 C -0.239      
3 C -0.239      
4 C -0.239      
5 C -0.239      
6 C -0.239      
7 H 0.239      
8 H 0.239      
9 H 0.239      
10 H 0.239      
11 H 0.239      
12 H 0.239      


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 0.000 0.000 0.000 0.000
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.471 0.000 0.000
y 0.000 -31.471 0.000
z 0.000 0.000 -40.985
Traceless
 xyz
x 4.757 0.000 0.000
y 0.000 4.757 0.000
z 0.000 0.000 -9.514
Polar
3z2-r2-19.028
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 9.616 0.000 0.000
y 0.000 9.616 0.000
z 0.000 0.000 2.119


<r2> (average value of r2) Å2
<r2> 126.864
(<r2>)1/2 11.263