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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HF/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-230.775459
Energy at 298.15K-230.782094
HF Energy-230.775459
Nuclear repulsion energy205.291157
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/6-311+G(3df,2p)
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 3347 3041 0.00 351.20 0.12 0.21
2 A1g 1070 972 0.00 93.65 0.02 0.04
3 A2g 1493 1356 0.00 0.00 0.75 0.86
4 A2u 758 689 135.77 0.00 0.00 0.00
5 B1u 3302 3000 0.00 0.00 0.00 0.00
6 B1u 996 905 0.00 0.00 0.00 0.00
7 B2g 1128 1025 0.00 0.00 0.00 0.00
8 B2g 747 679 0.00 0.00 0.00 0.00
9 B2u 1334 1212 0.00 0.00 0.00 0.00
10 B2u 1171 1064 0.00 0.00 0.00 0.00
11 E1g 957 869 0.00 2.95 0.75 0.86
11 E1g 957 869 0.00 2.95 0.75 0.86
12 E1u 3336 3031 42.00 0.00 0.00 0.00
12 E1u 3336 3031 42.00 0.00 0.00 0.00
13 E1u 1630 1481 9.76 0.00 0.00 0.00
13 E1u 1630 1481 9.76 0.00 0.00 0.00
14 E1u 1127 1024 3.86 0.00 0.00 0.00
14 E1u 1127 1024 3.86 0.00 0.00 0.00
15 E2g 3317 3014 0.00 113.21 0.75 0.86
15 E2g 3317 3014 0.00 113.21 0.75 0.86
16 E2g 1767 1606 0.00 16.88 0.75 0.86
16 E2g 1767 1606 0.00 16.88 0.75 0.86
17 E2g 1280 1163 0.00 3.87 0.75 0.86
17 E2g 1280 1163 0.00 3.87 0.75 0.86
18 E2g 658 597 0.00 3.56 0.75 0.86
18 E2g 658 597 0.00 3.56 0.75 0.86
19 E2u 1106 1005 0.00 0.00 0.00 0.00
19 E2u 1106 1005 0.00 0.00 0.00 0.00
20 E2u 448 407 0.00 0.00 0.00 0.00
20 E2u 448 407 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 23297.1 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 21167.7 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/6-311+G(3df,2p)
ABC
0.19358 0.19358 0.09679

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311+G(3df,2p)

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.383 0.000
C2 1.198 0.691 0.000
C3 1.198 -0.691 0.000
C4 0.000 -1.383 0.000
C5 -1.198 -0.691 0.000
C6 -1.198 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
C11.38282.39512.76562.39511.38281.07362.13293.36793.83923.36792.1329
C21.38281.38282.39512.76562.39512.13291.07362.13293.36793.83923.3679
C32.39511.38281.38282.39512.76563.36792.13291.07362.13293.36793.8392
C42.76562.39511.38281.38282.39513.83923.36792.13291.07362.13293.3679
C52.39512.76562.39511.38281.38283.36793.83923.36792.13291.07362.1329
C61.38282.39512.76562.39511.38282.13293.36793.83923.36792.13291.0736
H71.07362.13293.36793.83923.36792.13292.45644.25464.91284.25462.4564
H82.13291.07362.13293.36793.83923.36792.45642.45644.25464.91284.2546
H93.36792.13291.07362.13293.36793.83924.25462.45642.45644.25464.9128
H103.83923.36792.13291.07362.13293.36794.91284.25462.45642.45644.2546
H113.36793.83923.36792.13291.07362.13294.25464.91284.25462.45642.4564
H122.13293.36793.83923.36792.13291.07362.45644.25464.91284.25462.4564

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/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.116      
2 C -0.116      
3 C -0.116      
4 C -0.116      
5 C -0.116      
6 C -0.116      
7 H 0.116      
8 H 0.116      
9 H 0.116      
10 H 0.116      
11 H 0.116      
12 H 0.116      


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 -31.935 0.000 0.000
y 0.000 -31.935 0.000
z 0.000 0.000 -40.885
Traceless
 xyz
x 4.475 0.000 0.000
y 0.000 4.475 0.000
z 0.000 0.000 -8.950
Polar
3z2-r2-17.901
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 11.405 0.000 0.000
y 0.000 11.405 0.000
z 0.000 0.000 6.593


<r2> (average value of r2) Å2
<r2> 126.852
(<r2>)1/2 11.263