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All results from a given calculation for C6H6 (Benzene)

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-230.917351
Energy at 298.15K-230.923805
HF Energy-230.917351
Nuclear repulsion energy203.608077
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 mPW1PW91/3-21G*
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 3249 3086 0.00 314.85 0.10 0.18
2 A1g 1029 977 0.00 50.91 0.11 0.21
3 A2g 1436 1364 0.00 0.00 0.75 0.86
4 A2u 705 669 142.02 0.00 0.00 0.00
5 B1u 3210 3048 0.00 0.00 0.00 0.00
6 B1u 1067 1013 0.00 0.00 0.00 0.00
7 B2g 1061 1008 0.00 0.00 0.75 0.86
8 B2g 759 721 0.00 0.00 0.75 0.86
9 B2u 1345 1277 0.00 0.00 0.00 0.00
10 B2u 1233 1171 0.00 0.00 0.00 0.00
11 E1g 888 843 0.00 5.44 0.75 0.86
11 E1g 888 843 0.00 5.44 0.75 0.86
12 E1u 3236 3073 26.20 0.00 0.00 0.00
12 E1u 3236 3073 26.20 0.00 0.00 0.00
13 E1u 1547 1469 14.06 0.00 0.00 0.00
13 E1u 1547 1469 14.06 0.00 0.00 0.00
14 E1u 1080 1025 5.13 0.00 0.00 0.00
14 E1u 1080 1025 5.13 0.00 0.00 0.00
15 E2g 3219 3057 0.00 116.27 0.75 0.86
15 E2g 3219 3057 0.00 116.27 0.75 0.86
16 E2g 1650 1567 0.00 11.64 0.75 0.86
16 E2g 1650 1567 0.00 11.64 0.75 0.86
17 E2g 1245 1182 0.00 7.73 0.75 0.86
17 E2g 1245 1182 0.00 7.73 0.75 0.86
18 E2g 648 615 0.00 3.48 0.75 0.86
18 E2g 648 615 0.00 3.47 0.75 0.86
19 E2u 1021 970 0.00 0.00 0.00 0.00
19 E2u 1021 970 0.00 0.00 0.00 0.00
20 E2u 422 401 0.00 0.00 0.00 0.00
20 E2u 422 401 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22504.2 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 21370.0 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 mPW1PW91/3-21G*
ABC
0.19045 0.19045 0.09522

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.394 0.000
C2 1.207 0.697 0.000
C3 1.207 -0.697 0.000
C4 0.000 -1.394 0.000
C5 -1.207 -0.697 0.000
C6 -1.207 0.697 0.000
H7 0.000 2.478 0.000
H8 2.146 1.239 0.000
H9 2.146 -1.239 0.000
H10 0.000 -2.478 0.000
H11 -2.146 -1.239 0.000
H12 -2.146 1.239 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39402.41452.78802.41451.39401.08362.15123.39643.87163.39642.1512
C21.39401.39402.41452.78802.41452.15121.08362.15123.39643.87163.3964
C32.41451.39401.39402.41452.78803.39642.15121.08362.15123.39643.8716
C42.78802.41451.39401.39402.41453.87163.39642.15121.08362.15123.3964
C52.41452.78802.41451.39401.39403.39643.87163.39642.15121.08362.1512
C61.39402.41452.78802.41451.39402.15123.39643.87163.39642.15121.0836
H71.08362.15123.39643.87163.39642.15122.47764.29134.95514.29132.4776
H82.15121.08362.15123.39643.87163.39642.47762.47764.29134.95514.2913
H93.39642.15121.08362.15123.39643.87164.29132.47762.47764.29134.9551
H103.87163.39642.15121.08362.15123.39644.95514.29132.47762.47764.2913
H113.39643.87163.39642.15121.08362.15124.29134.95514.29132.47762.4776
H122.15123.39643.87163.39642.15121.08362.47764.29134.95514.29132.4776

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 mPW1PW91/3-21G* 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 -30.671 0.000 0.000
y 0.000 -30.671 0.000
z 0.000 0.000 -40.198
Traceless
 xyz
x 4.764 0.000 0.000
y 0.000 4.764 0.000
z 0.000 0.000 -9.528
Polar
3z2-r2-19.055
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 9.926 0.000 0.000
y 0.000 9.926 0.000
z 0.000 0.000 2.270


<r2> (average value of r2) Å2
<r2> 127.926
(<r2>)1/2 11.310