return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzene)

using model chemistry: HF/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-230.726037
Energy at 298.15K-230.732695
HF Energy-230.726037
Nuclear repulsion energy205.145003
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/6-31G(2df,p)
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 3356 3039 0.00 353.68 0.10 0.19
2 A1g 1077 976 0.00 57.21 0.08 0.15
3 A2g 1491 1350 0.00 0.00 0.00 0.00
4 A2u 765 693 90.36 0.00 0.00 0.00
5 B1u 3314 3000 0.00 0.00 0.00 0.00
6 B1u 1088 985 0.00 0.00 0.00 0.00
7 B2g 1123 1017 0.00 0.00 0.00 0.00
8 B2g 779 705 0.00 0.00 0.00 0.00
9 B2u 1328 1203 0.00 0.00 0.00 0.00
10 B2u 1175 1064 0.00 0.00 0.00 0.00
11 E1g 960 869 0.00 1.91 0.75 0.86
11 E1g 960 869 0.00 1.91 0.75 0.86
12 E1u 3344 3028 55.16 0.00 0.00 0.00
12 E1u 3344 3028 55.16 0.00 0.00 0.00
13 E1u 1634 1480 12.32 0.00 0.00 0.00
13 E1u 1634 1480 12.32 0.00 0.00 0.00
14 E1u 1132 1025 2.41 0.00 0.00 0.00
14 E1u 1132 1025 2.41 0.00 0.00 0.00
15 E2g 3325 3011 0.00 124.42 0.75 0.86
15 E2g 3325 3011 0.00 124.42 0.75 0.86
16 E2g 1778 1610 0.00 11.63 0.75 0.86
16 E2g 1778 1610 0.00 11.63 0.75 0.86
17 E2g 1282 1160 0.00 7.15 0.75 0.86
17 E2g 1282 1160 0.00 7.15 0.75 0.86
18 E2g 660 598 0.00 3.49 0.75 0.86
18 E2g 660 598 0.00 3.49 0.75 0.86
19 E2u 1084 982 0.00 0.00 0.00 0.00
19 E2u 1084 982 0.00 0.00 0.00 0.00
20 E2u 452 409 0.00 0.00 0.00 0.00
20 E2u 452 409 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 23398.3 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 21187.2 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/6-31G(2df,p)
ABC
0.19334 0.19334 0.09667

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G(2df,p)

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.384 0.000
C2 1.198 0.692 0.000
C3 1.198 -0.692 0.000
C4 0.000 -1.384 0.000
C5 -1.198 -0.692 0.000
C6 -1.198 0.692 0.000
H7 0.000 2.459 0.000
H8 2.130 1.230 0.000
H9 2.130 -1.230 0.000
H10 0.000 -2.459 0.000
H11 -2.130 -1.230 0.000
H12 -2.130 1.230 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38352.39632.76702.39631.38351.07562.13523.37103.84273.37102.1352
C21.38351.38352.39632.76702.39632.13521.07562.13523.37103.84273.3710
C32.39631.38351.38352.39632.76703.37102.13521.07562.13523.37103.8427
C42.76702.39631.38351.38352.39633.84273.37102.13521.07562.13523.3710
C52.39632.76702.39631.38351.38353.37103.84273.37102.13521.07562.1352
C61.38352.39632.76702.39631.38352.13523.37103.84273.37102.13521.0756
H71.07562.13523.37103.84273.37102.13522.45914.25944.91834.25942.4591
H82.13521.07562.13523.37103.84273.37102.45912.45914.25944.91834.2594
H93.37102.13521.07562.13523.37103.84274.25942.45912.45914.25944.9183
H103.84273.37102.13521.07562.13523.37104.91834.25942.45912.45914.2594
H113.37103.84273.37102.13521.07562.13524.25944.91834.25942.45912.4591
H122.13523.37103.84273.37102.13521.07562.45914.25944.91834.25942.4591

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/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.144      
2 C -0.144      
3 C -0.144      
4 C -0.144      
5 C -0.144      
6 C -0.144      
7 H 0.144      
8 H 0.144      
9 H 0.144      
10 H 0.144      
11 H 0.144      
12 H 0.144      


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 -31.375 0.000 0.000
y 0.000 -31.375 0.000
z 0.000 0.000 -39.257
Traceless
 xyz
x 3.941 0.000 0.000
y 0.000 3.941 0.000
z 0.000 0.000 -7.883
Polar
3z2-r2-15.766
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 10.345 0.000 0.000
y 0.000 10.345 0.000
z 0.000 0.000 3.914


<r2> (average value of r2) Å2
<r2> 126.429
(<r2>)1/2 11.244