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All results from a given calculation for C6H6 (Prismane)

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 D3H 1A1'
Energy calculated at wB97X-D/3-21G*
 hartrees
Energy at 0K-230.704503
Energy at 298.15K-230.711229
HF Energy-230.704503
Nuclear repulsion energy217.818781
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 A1' 3313 3140 0.00      
2 A1' 1277 1210 0.00      
3 A1' 1126 1067 0.00      
4 A1' 968 918 0.00      
5 A1" 1077 1021 0.00      
6 A1" 646 612 0.00      
7 A2' 1072 1016 0.00      
8 A2" 3297 3125 23.88      
9 A2" 1321 1252 0.92      
10 A2" 977 926 5.57      
11 E' 3288 3116 8.77      
11 E' 3288 3116 8.78      
12 E' 1271 1205 21.23      
12 E' 1271 1205 21.22      
13 E' 972 921 4.52      
13 E' 972 921 4.52      
14 E' 859 814 1.05      
14 E' 859 814 1.05      
15 E' 830 787 63.60      
15 E' 830 787 63.68      
16 E" 3277 3106 0.00      
16 E" 3277 3106 0.00      
17 E" 1197 1135 0.00      
17 E" 1197 1135 0.00      
18 E" 1049 994 0.00      
18 E" 1049 994 0.00      
19 E" 795 754 0.00      
19 E" 795 754 0.00      
20 E" 735 697 0.00      
20 E" 735 697 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21810.2 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 20671.7 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
0.22577 0.17641 0.17641

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.892 0.787
C2 -0.773 -0.446 0.787
C3 0.773 -0.446 0.787
C4 0.000 0.892 -0.787
C5 0.773 -0.446 -0.787
C6 -0.773 -0.446 -0.787
H7 0.000 1.695 1.503
H8 -1.468 -0.848 1.503
H9 1.468 -0.848 1.503
H10 0.000 1.695 -1.503
H11 1.468 -0.848 -1.503
H12 -1.468 -0.848 -1.503

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.54511.54511.57332.20512.20511.07642.38642.38642.42683.22893.2289
C21.54511.54512.20512.20511.57332.38641.07642.38643.22893.22892.4268
C31.54511.54512.20511.57332.20512.38642.38641.07643.22892.42683.2289
C41.57332.20512.20511.54511.54512.42683.22893.22891.07642.38642.3864
C52.20512.20511.57331.54511.54513.22893.22892.42682.38641.07642.3864
C62.20511.57332.20511.54511.54513.22892.42683.22892.38642.38641.0764
H71.07642.38642.38642.42683.22893.22892.93582.93583.00694.20254.2025
H82.38641.07642.38643.22893.22892.42682.93582.93584.20254.20253.0069
H92.38642.38641.07643.22892.42683.22892.93582.93584.20253.00694.2025
H102.42683.22893.22891.07642.38642.38643.00694.20254.20252.93582.9358
H113.22893.22892.42682.38641.07642.38644.20254.20253.00692.93582.9358
H123.22892.42683.22892.38642.38641.07644.20253.00694.20252.93582.9358

picture of Prismane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 60.000 C1 C2 C6 90.000
C1 C2 H8 130.243 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 130.243
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 131.757 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 130.243
C2 C3 C5 90.000 C2 C3 H9 130.243
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 131.757 C3 C1 C4 90.000
C3 C1 H7 130.243 C3 C2 C6 90.000
C3 C2 H8 130.243 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 131.757
C4 C1 H7 131.757 C4 C5 C6 60.000
C4 C5 H11 130.243 C4 C6 H12 130.243
C5 C3 H9 131.757 C5 C4 C6 60.000
C5 C4 H10 130.243 C5 C6 H12 130.243
C6 C2 H8 131.757 C6 C4 C5 60.000
C6 C4 H10 130.243 C6 C5 H11 130.243
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 -0.192      
2 C -0.192      
3 C -0.192      
4 C -0.192      
5 C -0.192      
6 C -0.192      
7 H 0.192      
8 H 0.192      
9 H 0.192      
10 H 0.192      
11 H 0.192      
12 H 0.192      


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 -35.333 0.000 0.000
y 0.000 -35.333 0.000
z 0.000 0.000 -31.970
Traceless
 xyz
x -1.682 0.000 0.000
y 0.000 -1.682 0.000
z 0.000 0.000 3.364
Polar
3z2-r26.727
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 6.676 0.000 0.000
y 0.000 6.674 0.000
z 0.000 0.000 7.066


<r2> (average value of r2) Å2
<r2> 103.094
(<r2>)1/2 10.154