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All results from a given calculation for C6H6 (Prismane)

using model chemistry: B3PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-232.002025
Energy at 298.15K-232.008703
HF Energy-232.002025
Nuclear repulsion energy220.651387
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 B3PW91/6-31G(2df,p)
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' 3229 3104 0.00      
2 A1' 1322 1271 0.00      
3 A1' 1132 1088 0.00      
4 A1' 958 921 0.00      
5 A1" 1007 968 0.00      
6 A1" 648 623 0.00      
7 A2' 1000 962 0.00      
8 A2" 3221 3096 47.82      
9 A2" 1368 1315 0.05      
10 A2" 984 946 2.36      
11 E' 3214 3090 27.30      
11 E' 3214 3090 27.30      
12 E' 1272 1222 8.63      
12 E' 1272 1222 8.63      
13 E' 958 921 0.71      
13 E' 958 921 0.71      
14 E' 863 829 0.99      
14 E' 863 829 0.99      
15 E' 830 798 42.97      
15 E' 830 798 42.97      
16 E" 3201 3077 0.00      
16 E" 3201 3077 0.00      
17 E" 1177 1131 0.00      
17 E" 1177 1131 0.00      
18 E" 1030 990 0.00      
18 E" 1030 990 0.00      
19 E" 797 767 0.00      
19 E" 797 767 0.00      
20 E" 697 670 0.00      
20 E" 697 670 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21470.4 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 20641.6 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 B3PW91/6-31G(2df,p)
ABC
0.23358 0.18068 0.18068

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.876 0.777
C2 -0.759 -0.438 0.777
C3 0.759 -0.438 0.777
C4 0.000 0.876 -0.777
C5 0.759 -0.438 -0.777
C6 -0.759 -0.438 -0.777
H7 0.000 1.671 1.511
H8 -1.448 -0.836 1.511
H9 1.448 -0.836 1.511
H10 0.000 1.671 -1.511
H11 1.448 -0.836 -1.511
H12 -1.448 -0.836 -1.511

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51761.51761.55302.17142.17141.08242.35912.35912.42163.20283.2028
C21.51761.51762.17142.17141.55302.35911.08242.35913.20283.20282.4216
C31.51761.51762.17141.55302.17142.35912.35911.08243.20282.42163.2028
C41.55302.17142.17141.51761.51762.42163.20283.20281.08242.35912.3591
C52.17142.17141.55301.51761.51763.20283.20282.42162.35911.08242.3591
C62.17141.55302.17141.51761.51763.20282.42163.20282.35912.35911.0824
H71.08242.35912.35912.42163.20283.20282.89512.89513.02154.18464.1846
H82.35911.08242.35913.20283.20282.42162.89512.89514.18464.18463.0215
H92.35912.35911.08243.20282.42163.20282.89512.89514.18463.02154.1846
H102.42163.20283.20281.08242.35912.35913.02154.18464.18462.89512.8951
H113.20283.20282.42162.35911.08242.35914.18464.18463.02152.89512.8951
H123.20282.42163.20282.35912.35911.08244.18463.02154.18462.89512.8951

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 129.517 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.517
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.715 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.517
C2 C3 C5 90.000 C2 C3 H9 129.517
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.715 C3 C1 C4 90.000
C3 C1 H7 129.517 C3 C2 C6 90.000
C3 C2 H8 129.517 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.715
C4 C1 H7 132.715 C4 C5 C6 60.000
C4 C5 H11 129.517 C4 C6 H12 129.517
C5 C3 H9 132.715 C5 C4 C6 60.000
C5 C4 H10 129.517 C5 C6 H12 129.517
C6 C2 H8 132.715 C6 C4 C5 60.000
C6 C4 H10 129.517 C6 C5 H11 129.517
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.110      
2 C -0.110      
3 C -0.110      
4 C -0.110      
5 C -0.110      
6 C -0.110      
7 H 0.110      
8 H 0.110      
9 H 0.110      
10 H 0.110      
11 H 0.110      
12 H 0.110      


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 -34.783 0.000 0.000
y 0.000 -34.783 0.000
z 0.000 0.000 -32.321
Traceless
 xyz
x -1.231 0.000 0.000
y 0.000 -1.231 0.000
z 0.000 0.000 2.462
Polar
3z2-r24.925
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 7.386 0.000 0.000
y 0.000 7.386 0.000
z 0.000 0.000 8.059


<r2> (average value of r2) Å2
<r2> 101.015
(<r2>)1/2 10.051