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: B3LYP/aug-cc-pVQZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B3LYP/aug-cc-pVQZ
 hartrees
Energy at 0K-232.351248
Energy at 298.15K-232.357621
HF Energy-232.351248
Nuclear repulsion energy204.076238
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 B3LYP/aug-cc-pVQZ
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 3191 3092 0.00 411.11 0.10 0.18
2 A1g 1013 982 0.00 88.04 0.03 0.05
3 A2g 1391 1348 0.00 0.00 0.75 0.86
4 A2u 692 671 109.67 0.00 0.00 0.00
5 B1u 3157 3059 0.00 0.00 0.00 0.00
6 B1u 1032 1000 0.00 0.00 0.00 0.00
7 B2g 1030 998 0.00 0.00 0.75 0.86
8 B2g 732 709 0.00 0.00 0.75 0.86
9 B2u 1333 1292 0.00 0.00 0.00 0.00
10 B2u 1176 1140 0.00 0.00 0.00 0.00
11 E1g 870 843 0.00 0.60 0.75 0.86
11 E1g 870 843 0.00 0.65 0.75 0.86
12 E1u 3181 3082 34.40 0.00 0.00 0.00
12 E1u 3181 3082 34.40 0.00 0.00 0.00
13 E1u 1518 1471 6.32 0.00 0.00 0.00
13 E1u 1518 1471 6.33 0.00 0.00 0.00
14 E1u 1061 1028 5.10 0.00 0.00 0.00
14 E1u 1061 1028 5.10 0.00 0.00 0.00
15 E2g 3166 3068 0.00 126.99 0.75 0.86
15 E2g 3166 3068 0.00 127.28 0.75 0.86
16 E2g 1635 1584 0.00 14.33 0.75 0.86
16 E2g 1635 1584 0.00 14.24 0.75 0.86
17 E2g 1200 1163 0.00 5.20 0.75 0.86
17 E2g 1200 1163 0.00 4.98 0.75 0.86
18 E2g 625 605 0.00 2.39 0.75 0.86
18 E2g 625 605 0.00 2.38 0.75 0.86
19 E2u 1001 970 0.00 0.00 0.00 0.00
19 E2u 1001 970 0.00 0.00 0.00 0.00
20 E2u 415 402 0.00 0.00 0.00 0.00
20 E2u 415 402 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22045.4 cm-1
Scaled (by 0.9689) Zero Point Vibrational Energy (zpe) 21359.8 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 B3LYP/aug-cc-pVQZ
ABC
0.19133 0.19133 0.09567

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVQZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.391 0.000
C2 1.204 0.695 0.000
C3 1.204 -0.695 0.000
C4 0.000 -1.391 0.000
C5 -1.204 -0.695 0.000
C6 -1.204 0.695 0.000
H7 0.000 2.472 0.000
H8 2.141 1.236 0.000
H9 2.141 -1.236 0.000
H10 0.000 -2.472 0.000
H11 -2.141 -1.236 0.000
H12 -2.141 1.236 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39072.40882.78142.40881.39071.08152.14653.38883.86293.38882.1465
C21.39071.39072.40882.78142.40882.14651.08152.14653.38883.86293.3888
C32.40881.39071.39072.40882.78143.38882.14651.08152.14653.38883.8629
C42.78142.40881.39071.39072.40883.86293.38882.14651.08152.14653.3888
C52.40882.78142.40881.39071.39073.38883.86293.38882.14651.08152.1465
C61.39072.40882.78142.40881.39072.14653.38883.86293.38882.14651.0815
H71.08152.14653.38883.86293.38882.14652.47224.28194.94434.28192.4722
H82.14651.08152.14653.38883.86293.38882.47222.47224.28194.94434.2819
H93.38882.14651.08152.14653.38883.86294.28192.47222.47224.28194.9443
H103.86293.38882.14651.08152.14653.38884.94434.28192.47222.47224.2819
H113.38883.86293.38882.14651.08152.14654.28194.94434.28192.47222.4722
H122.14653.38883.86293.38882.14651.08152.47224.28194.94434.28192.4722

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 B3LYP/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.417      
2 C -0.417      
3 C -0.417      
4 C -0.417      
5 C -0.417      
6 C -0.417      
7 H 0.417      
8 H 0.417      
9 H 0.417      
10 H 0.417      
11 H 0.417      
12 H 0.417      


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 -32.413 0.000 0.000
y 0.000 -32.413 0.000
z 0.000 0.000 -39.832
Traceless
 xyz
x 3.709 0.000 0.000
y 0.000 3.709 0.000
z 0.000 0.000 -7.418
Polar
3z2-r2-14.837
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 12.090 0.000 0.000
y 0.000 12.090 0.000
z 0.000 0.000 6.627


<r2> (average value of r2) Å2
<r2> 128.086
(<r2>)1/2 11.318