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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-232.159040
Energy at 298.15K-232.165335
Nuclear repulsion energy203.430833
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 B3PW91/6-31G*
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 3082 0.00      
2 A1g 1028 983 0.00      
3 A2g 1382 1322 0.00      
4 A2u 691 661 91.80      
5 B1u 3185 3047 0.00      
6 B1u 1015 971 0.00      
7 B2g 1012 968 0.00      
8 B2g 718 687 0.00      
9 B2u 1379 1319 0.00      
10 B2u 1185 1134 0.00      
11 E1g 864 826 0.00      
11 E1g 864 826 0.00      
12 E1u 3211 3072 46.32      
12 E1u 3211 3072 46.32      
13 E1u 1531 1464 7.59      
13 E1u 1531 1464 7.59      
14 E1u 1074 1027 4.31      
14 E1u 1074 1027 4.31      
15 E2g 3195 3057 0.00      
15 E2g 3195 3057 0.00      
16 E2g 1667 1595 0.00      
16 E2g 1667 1595 0.00      
17 E2g 1208 1156 0.00      
17 E2g 1208 1156 0.00      
18 E2g 618 591 0.00      
18 E2g 618 591 0.00      
19 E2u 972 930 0.00      
19 E2u 972 930 0.00      
20 E2u 412 394 0.00      
20 E2u 412 394 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 22158.4 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 21198.9 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 B3PW91/6-31G*
ABC
0.19018 0.19018 0.09509

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.395 0.000
C2 1.208 0.697 0.000
C3 1.208 -0.697 0.000
C4 0.000 -1.395 0.000
C5 -1.208 -0.697 0.000
C6 -1.208 0.697 0.000
H7 0.000 2.482 0.000
H8 2.149 1.241 0.000
H9 2.149 -1.241 0.000
H10 0.000 -2.482 0.000
H11 -2.149 -1.241 0.000
H12 -2.149 1.241 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39462.41552.78922.41551.39461.08732.15493.40083.87653.40082.1549
C21.39461.39462.41552.78922.41552.15491.08732.15493.40083.87653.4008
C32.41551.39461.39462.41552.78923.40082.15491.08732.15493.40083.8765
C42.78922.41551.39461.39462.41553.87653.40082.15491.08732.15493.4008
C52.41552.78922.41551.39461.39463.40083.87653.40082.15491.08732.1549
C61.39462.41552.78922.41551.39462.15493.40083.87653.40082.15491.0873
H71.08732.15493.40083.87653.40082.15492.48194.29874.96384.29872.4819
H82.15491.08732.15493.40083.87653.40082.48192.48194.29874.96384.2987
H93.40082.15491.08732.15493.40083.87654.29872.48192.48194.29874.9638
H103.87653.40082.15491.08732.15493.40084.96384.29872.48192.48194.2987
H113.40083.87653.40082.15491.08732.15494.29874.96384.29872.48192.4819
H122.15493.40083.87653.40082.15491.08732.48194.29874.96384.29872.4819

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 B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.162     -0.131
2 C -0.162     -0.130
3 C -0.162     -0.130
4 C -0.162     -0.131
5 C -0.162     -0.126
6 C -0.162     -0.126
7 H 0.162     0.129
8 H 0.162     0.130
9 H 0.162     0.130
10 H 0.162     0.129
11 H 0.162     0.128
12 H 0.162     0.128


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 -0.009 0.000 0.000 0.009


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.875 0.000 0.000
y 0.000 -30.875 0.000
z 0.000 0.000 -38.724
Traceless
 xyz
x 3.924 0.000 0.000
y 0.000 3.924 0.000
z 0.000 0.000 -7.849
Polar
3z2-r2-15.698
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 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 127.891
(<r2>)1/2 11.309