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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B3PW91/3-21G*
 hartrees
Energy at 0K-230.886615
Energy at 298.15K-230.893035
Nuclear repulsion energy203.308295
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 B3PW91/3-21G*
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 3231 3100 0.00      
2 A1g 1021 980 0.00      
3 A2g 1428 1370 0.00      
4 A2u 698 670 138.31      
5 B1u 3191 3062 0.00      
6 B1u 1061 1018 0.00      
7 B2g 1049 1007 0.00      
8 B2g 753 723 0.00      
9 B2u 1337 1283 0.00      
10 B2u 1227 1177 0.00      
11 E1g 879 843 0.00      
11 E1g 879 843 0.00      
12 E1u 3217 3087 28.50      
12 E1u 3217 3087 28.51      
13 E1u 1537 1475 13.60      
13 E1u 1537 1475 13.60      
14 E1u 1072 1029 5.01      
14 E1u 1072 1029 5.01      
15 E2g 3201 3071 0.00      
15 E2g 3201 3071 0.00      
16 E2g 1637 1570 0.00      
16 E2g 1637 1570 0.00      
17 E2g 1238 1188 0.00      
17 E2g 1238 1188 0.00      
18 E2g 644 618 0.00      
18 E2g 644 618 0.00      
19 E2u 1010 969 0.00      
19 E2u 1010 969 0.00      
20 E2u 419 402 0.00      
20 E2u 419 402 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 22353.1 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 21445.6 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 B3PW91/3-21G*
ABC
0.18989 0.18989 0.09494

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.396 0.000
C2 1.209 0.698 0.000
C3 1.209 -0.698 0.000
C4 0.000 -1.396 0.000
C5 -1.209 -0.698 0.000
C6 -1.209 0.698 0.000
H7 0.000 2.481 0.000
H8 2.149 1.241 0.000
H9 2.149 -1.241 0.000
H10 0.000 -2.481 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
C11.39602.41802.79212.41801.39601.08522.15443.40143.87733.40142.1544
C21.39601.39602.41802.79212.41802.15441.08522.15443.40143.87733.4014
C32.41801.39601.39602.41802.79213.40142.15441.08522.15443.40143.8773
C42.79212.41801.39601.39602.41803.87733.40142.15441.08522.15443.4014
C52.41802.79212.41801.39601.39603.40143.87733.40142.15441.08522.1544
C61.39602.41802.79212.41801.39602.15443.40143.87733.40142.15441.0852
H71.08522.15443.40143.87733.40142.15442.48124.29764.96254.29762.4812
H82.15441.08522.15443.40143.87733.40142.48122.48124.29764.96254.2976
H93.40142.15441.08522.15443.40143.87734.29762.48122.48124.29764.9625
H103.87733.40142.15441.08522.15443.40144.96254.29762.48122.48124.2976
H113.40143.87733.40142.15441.08522.15444.29764.96254.29762.48122.4812
H122.15443.40143.87733.40142.15441.08522.48124.29764.96254.29762.4812

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.216      
2 C -0.216      
3 C -0.216      
4 C -0.216      
5 C -0.216      
6 C -0.216      
7 H 0.216      
8 H 0.216      
9 H 0.216      
10 H 0.216      
11 H 0.216      
12 H 0.216      


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 -30.707 0.000 0.000
y 0.000 -30.707 0.000
z 0.000 0.000 -40.133
Traceless
 xyz
x 4.713 0.000 0.000
y 0.000 4.713 0.000
z 0.000 0.000 -9.426
Polar
3z2-r2-18.851
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> 128.243
(<r2>)1/2 11.324