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All results from a given calculation for C6H6 (Benzene)

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-232.245562
Energy at 298.15K-232.251928
HF Energy-232.245562
Nuclear repulsion energy204.112249
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 mPW1PW91/6-311G**
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 3222 3083 0.00 395.00 0.13 0.22
2 A1g 1028 984 0.00 58.76 0.09 0.16
3 A2g 1380 1320 0.00 0.00 0.75 0.86
4 A2u 693 663 117.74 0.00 0.00 0.00
5 B1u 3186 3048 0.00 0.00 0.00 0.00
6 B1u 1022 977 0.00 0.00 0.00 0.00
7 B2g 1026 981 0.00 0.00 0.75 0.86
8 B2g 727 696 0.00 0.00 0.75 0.86
9 B2u 1367 1308 0.00 0.00 0.00 0.00
10 B2u 1176 1125 0.00 0.00 0.00 0.00
11 E1g 871 833 0.00 0.58 0.75 0.86
11 E1g 871 833 0.00 0.58 0.75 0.86
12 E1u 3212 3073 36.66 0.00 0.00 0.00
12 E1u 3212 3073 36.65 0.00 0.00 0.00
13 E1u 1521 1456 9.34 0.00 0.00 0.00
13 E1u 1521 1456 9.34 0.00 0.00 0.00
14 E1u 1071 1025 6.16 0.00 0.00 0.00
14 E1u 1071 1025 6.16 0.00 0.00 0.00
15 E2g 3196 3058 0.00 136.47 0.75 0.86
15 E2g 3196 3058 0.00 136.46 0.75 0.86
16 E2g 1665 1593 0.00 9.11 0.75 0.86
16 E2g 1665 1593 0.00 9.11 0.75 0.86
17 E2g 1202 1150 0.00 6.39 0.75 0.86
17 E2g 1202 1150 0.00 6.40 0.75 0.86
18 E2g 621 594 0.00 4.10 0.75 0.86
18 E2g 621 594 0.00 4.09 0.75 0.86
19 E2u 993 950 0.00 0.00 0.00 0.00
19 E2u 993 950 0.00 0.00 0.00 0.00
20 E2u 413 395 0.00 0.00 0.00 0.00
20 E2u 413 395 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22178.1 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 21217.8 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 mPW1PW91/6-311G**
ABC
0.19146 0.19146 0.09573

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.390 0.000
C2 1.204 0.695 0.000
C3 1.204 -0.695 0.000
C4 0.000 -1.390 0.000
C5 -1.204 -0.695 0.000
C6 -1.204 0.695 0.000
H7 0.000 2.474 0.000
H8 2.142 1.237 0.000
H9 2.142 -1.237 0.000
H10 0.000 -2.474 0.000
H11 -2.142 -1.237 0.000
H12 -2.142 1.237 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38992.40742.77982.40741.38991.08382.14773.38953.86363.38952.1477
C21.38991.38992.40742.77982.40742.14771.08382.14773.38953.86363.3895
C32.40741.38991.38992.40742.77983.38952.14771.08382.14773.38953.8636
C42.77982.40741.38991.38992.40743.86363.38952.14771.08382.14773.3895
C52.40742.77982.40741.38991.38993.38953.86363.38952.14771.08382.1477
C61.38992.40742.77982.40741.38992.14773.38953.86363.38952.14771.0838
H71.08382.14773.38953.86363.38952.14772.47374.28454.94744.28452.4737
H82.14771.08382.14773.38953.86363.38952.47372.47374.28454.94744.2845
H93.38952.14771.08382.14773.38953.86364.28452.47372.47374.28454.9474
H103.86363.38952.14771.08382.14773.38954.94744.28452.47372.47374.2845
H113.38953.86363.38952.14771.08382.14774.28454.94744.28452.47372.4737
H122.14773.38953.86363.38952.14771.08382.47374.28454.94744.28452.4737

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 mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.104      
2 C -0.104      
3 C -0.104      
4 C -0.104      
5 C -0.104      
6 C -0.104      
7 H 0.104      
8 H 0.104      
9 H 0.104      
10 H 0.104      
11 H 0.104      
12 H 0.104      


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 -31.300 0.000 0.000
y 0.000 -31.300 0.000
z 0.000 0.000 -39.541
Traceless
 xyz
x 4.120 0.000 0.000
y 0.000 4.120 0.000
z 0.000 0.000 -8.241
Polar
3z2-r2-16.482
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 10.935 0.000 0.000
y 0.000 10.935 0.000
z 0.000 0.000 4.202


<r2> (average value of r2) Å2
<r2> 127.525
(<r2>)1/2 11.293