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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/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 wB97X-D/3-21G
 hartrees
Energy at 0K-230.894457
Energy at 298.15K-230.900961
HF Energy-230.894457
Nuclear repulsion energy203.688158
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 wB97X-D/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 3253 3253 0.00 311.04 0.10 0.18
2 A1g 1032 1032 0.00 50.43 0.11 0.21
3 A2g 1443 1443 0.00 0.00 0.75 0.86
4 A2u 710 710 143.10 0.00 0.00 0.00
5 B1u 3214 3214 0.00 0.00 0.00 0.00
6 B1u 1075 1075 0.00 0.00 0.00 0.00
7 B2g 1078 1078 0.00 0.00 0.75 0.86
8 B2g 765 765 0.00 0.00 0.75 0.86
9 B2u 1327 1327 0.00 0.00 0.00 0.00
10 B2u 1237 1237 0.00 0.00 0.00 0.00
11 E1g 899 899 0.00 6.02 0.75 0.86
11 E1g 899 899 0.00 6.03 0.75 0.86
12 E1u 3240 3240 23.08 0.00 0.00 0.00
12 E1u 3240 3240 23.10 0.00 0.00 0.00
13 E1u 1554 1554 15.23 0.00 0.00 0.00
13 E1u 1554 1554 15.23 0.00 0.00 0.00
14 E1u 1083 1083 5.50 0.00 0.00 0.00
14 E1u 1083 1083 5.49 0.00 0.00 0.00
15 E2g 3223 3223 0.00 116.33 0.75 0.86
15 E2g 3223 3223 0.00 116.34 0.75 0.86
16 E2g 1661 1661 0.00 12.04 0.75 0.86
16 E2g 1661 1661 0.00 12.06 0.75 0.86
17 E2g 1252 1252 0.00 7.95 0.75 0.86
17 E2g 1252 1252 0.00 7.95 0.75 0.86
18 E2g 655 655 0.00 3.42 0.75 0.86
18 E2g 655 655 0.00 3.39 0.75 0.86
19 E2u 1037 1037 0.00 0.00 0.00 0.00
19 E2u 1037 1037 0.00 0.00 0.00 0.00
20 E2u 427 427 0.00 0.00 0.00 0.00
20 E2u 427 427 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22597.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22597.8 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 wB97X-D/3-21G
ABC
0.19061 0.19061 0.09530

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.393 0.000
C2 1.207 0.697 0.000
C3 1.207 -0.697 0.000
C4 0.000 -1.393 0.000
C5 -1.207 -0.697 0.000
C6 -1.207 0.697 0.000
H7 0.000 2.477 0.000
H8 2.145 1.238 0.000
H9 2.145 -1.238 0.000
H10 0.000 -2.477 0.000
H11 -2.145 -1.238 0.000
H12 -2.145 1.238 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39342.41342.78672.41341.39341.08352.15063.39523.87023.39522.1506
C21.39341.39342.41342.78672.41342.15061.08352.15063.39523.87023.3952
C32.41341.39341.39342.41342.78673.39522.15061.08352.15063.39523.8702
C42.78672.41341.39341.39342.41343.87023.39522.15061.08352.15063.3952
C52.41342.78672.41341.39341.39343.39523.87023.39522.15061.08352.1506
C61.39342.41342.78672.41341.39342.15063.39523.87023.39522.15061.0835
H71.08352.15063.39523.87023.39522.15062.47694.29014.95384.29012.4769
H82.15061.08352.15063.39523.87023.39522.47692.47694.29014.95384.2901
H93.39522.15061.08352.15063.39523.87024.29012.47692.47694.29014.9538
H103.87023.39522.15061.08352.15063.39524.95384.29012.47692.47694.2901
H113.39523.87023.39522.15061.08352.15064.29014.95384.29012.47692.4769
H122.15063.39523.87023.39522.15061.08352.47694.29014.95384.29012.4769

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 wB97X-D/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.220      
2 C -0.220      
3 C -0.220      
4 C -0.220      
5 C -0.220      
6 C -0.220      
7 H 0.220      
8 H 0.220      
9 H 0.220      
10 H 0.220      
11 H 0.220      
12 H 0.220      


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 -30.648 0.000 0.000
y 0.000 -30.648 0.000
z 0.000 0.000 -40.093
Traceless
 xyz
x 4.722 0.000 0.000
y 0.000 4.722 0.000
z 0.000 0.000 -9.445
Polar
3z2-r2-18.889
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 9.881 0.000 0.000
y 0.000 9.878 0.000
z 0.000 0.000 2.249


<r2> (average value of r2) Å2
<r2> 127.811
(<r2>)1/2 11.305