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: B2PLYP/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B2PLYP/TZVP
 hartrees
Energy at 0K-232.071860
Energy at 298.15K 
HF Energy-231.798977
Nuclear repulsion energy203.848399
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 B2PLYP/TZVP
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 3224 3077 0.00 413.60 0.11 0.20
2 A1g 1015 969 0.00 67.96 0.06 0.11
3 A2g 1392 1328 0.00 0.00 0.75 0.86
4 A2u 673 642 120.52 0.00 0.00 0.00
5 B1u 3190 3044 0.00 0.00 0.16 0.28
6 B1u 1022 975 0.00 0.00 0.00 0.00
7 B2g 852 814 0.00 0.00 0.75 0.86
8 B2g 998i 952i 0.00 0.00 0.75 0.86
9 B2u 1356 1294 0.00 0.00 0.00 0.00
10 B2u 1186 1132 0.00 0.00 0.00 0.00
11 E1g 821 784 0.00 0.01 0.75 0.86
11 E1g 821 784 0.00 0.01 0.75 0.86
12 E1u 3214 3068 34.77 0.00 0.00 0.00
12 E1u 3214 3068 34.77 0.00 0.00 0.00
13 E1u 1522 1453 8.01 0.00 0.00 0.00
13 E1u 1522 1453 8.01 0.00 0.00 0.00
14 E1u 1065 1017 5.44 0.00 0.00 0.00
14 E1u 1065 1017 5.44 0.00 0.00 0.00
15 E2g 3199 3053 0.00 127.12 0.75 0.86
15 E2g 3199 3053 0.00 127.13 0.75 0.86
16 E2g 1641 1566 0.00 10.28 0.75 0.86
16 E2g 1641 1566 0.00 10.28 0.75 0.86
17 E2g 1208 1153 0.00 5.50 0.75 0.86
17 E2g 1208 1153 0.00 5.50 0.75 0.86
18 E2g 623 595 0.00 4.77 0.75 0.86
18 E2g 623 595 0.00 4.77 0.75 0.86
19 E2u 823 786 0.00 0.00 0.00 0.00
19 E2u 823 786 0.00 0.00 0.00 0.00
20 E2u 359 342 0.00 0.00 0.00 0.00
20 E2u 359 342 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 20932.2 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 19977.6 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 B2PLYP/TZVP
ABC
0.19089 0.19089 0.09545

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/TZVP

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.392 0.000
C2 1.206 0.696 0.000
C3 1.206 -0.696 0.000
C4 0.000 -1.392 0.000
C5 -1.206 -0.696 0.000
C6 -1.206 0.696 0.000
H7 0.000 2.475 0.000
H8 2.143 1.237 0.000
H9 2.143 -1.237 0.000
H10 0.000 -2.475 0.000
H11 -2.143 -1.237 0.000
H12 -2.143 1.237 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39242.41172.78482.41171.39241.08212.14863.39233.86693.39232.1486
C21.39241.39242.41172.78482.41172.14861.08212.14863.39233.86693.3923
C32.41171.39241.39242.41172.78483.39232.14861.08212.14863.39233.8669
C42.78482.41171.39241.39242.41173.86693.39232.14861.08212.14863.3923
C52.41172.78482.41171.39241.39243.39233.86693.39232.14861.08212.1486
C61.39242.41172.78482.41171.39242.14863.39233.86693.39232.14861.0821
H71.08212.14863.39233.86693.39232.14862.47454.28604.94914.28602.4745
H82.14861.08212.14863.39233.86693.39232.47452.47454.28604.94914.2860
H93.39232.14861.08212.14863.39233.86694.28602.47452.47454.28604.9491
H103.86693.39232.14861.08212.14863.39234.94914.28602.47452.47454.2860
H113.39233.86693.39232.14861.08212.14864.28604.94914.28602.47452.4745
H122.14863.39233.86693.39232.14861.08212.47454.28604.94914.28602.4745

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 B2PLYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.109      
2 C -0.109      
3 C -0.109      
4 C -0.109      
5 C -0.109      
6 C -0.109      
7 H 0.109      
8 H 0.109      
9 H 0.109      
10 H 0.109      
11 H 0.109      
12 H 0.109      


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 -32.245 0.000 0.000
y 0.000 -32.245 0.000
z 0.000 0.000 -40.224
Traceless
 xyz
x 3.990 0.000 0.000
y 0.000 3.989 0.000
z 0.000 0.000 -7.979
Polar
3z2-r2-15.958
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 11.273 0.000 0.000
y 0.000 11.274 0.000
z 0.000 0.000 5.452


<r2> (average value of r2) Å2
<r2> 128.336
(<r2>)1/2 11.329