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All results from a given calculation for C6H6 (Prismane)

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-231.793458
Energy at 298.15K-231.800172
HF Energy-231.793458
Nuclear repulsion energy221.031293
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 PBE1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1' 3256 3103 0.00      
2 A1' 1352 1289 0.00      
3 A1' 1149 1095 0.00      
4 A1' 968 923 0.00      
5 A1" 1014 966 0.00      
6 A1" 653 622 0.00      
7 A2' 1009 961 0.00      
8 A2" 3249 3096 48.67      
9 A2" 1397 1331 0.38      
10 A2" 996 949 2.35      
11 E' 3242 3090 26.79      
11 E' 3242 3090 26.80      
12 E' 1295 1234 10.82      
12 E' 1295 1234 10.82      
13 E' 980 934 1.02      
13 E' 980 934 1.02      
14 E' 875 834 1.62      
14 E' 875 834 1.62      
15 E' 837 798 49.28      
15 E' 837 798 49.28      
16 E" 3229 3077 0.00      
16 E" 3229 3077 0.00      
17 E" 1193 1137 0.00      
17 E" 1193 1137 0.00      
18 E" 1042 993 0.00      
18 E" 1042 993 0.00      
19 E" 808 770 0.00      
19 E" 808 770 0.00      
20 E" 694 661 0.00      
20 E" 694 661 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21713.5 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 20695.2 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 PBE1PBE/6-31G**
ABC
0.23448 0.18135 0.18135

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.874 0.775
C2 -0.757 -0.437 0.775
C3 0.757 -0.437 0.775
C4 0.000 0.874 -0.775
C5 0.757 -0.437 -0.775
C6 -0.757 -0.437 -0.775
H7 0.000 1.671 1.511
H8 -1.447 -0.835 1.511
H9 1.447 -0.835 1.511
H10 0.000 1.671 -1.511
H11 1.447 -0.835 -1.511
H12 -1.447 -0.835 -1.511

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51401.51401.54932.16622.16621.08472.35752.35752.42043.19993.1999
C21.51401.51402.16622.16621.54932.35751.08472.35753.19993.19992.4204
C31.51401.51402.16621.54932.16622.35752.35751.08473.19992.42043.1999
C41.54932.16622.16621.51401.51402.42043.19993.19991.08472.35752.3575
C52.16622.16621.54931.51401.51403.19993.19992.42042.35751.08472.3575
C62.16621.54932.16621.51401.51403.19992.42043.19992.35752.35751.0847
H71.08472.35752.35752.42043.19993.19992.89382.89383.02184.18394.1839
H82.35751.08472.35753.19993.19992.42042.89382.89384.18394.18393.0218
H92.35752.35751.08473.19992.42043.19992.89382.89384.18393.02184.1839
H102.42043.19993.19991.08472.35752.35753.02184.18394.18392.89382.8938
H113.19993.19992.42042.35751.08472.35754.18394.18393.02182.89382.8938
H123.19992.42043.19992.35752.35751.08474.18393.02184.18392.89382.8938

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 129.493 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.493
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.746 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.493
C2 C3 C5 90.000 C2 C3 H9 129.493
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.746 C3 C1 C4 90.000
C3 C1 H7 129.493 C3 C2 C6 90.000
C3 C2 H8 129.493 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.746
C4 C1 H7 132.746 C4 C5 C6 60.000
C4 C5 H11 129.493 C4 C6 H12 129.493
C5 C3 H9 132.746 C5 C4 C6 60.000
C5 C4 H10 129.493 C5 C6 H12 129.493
C6 C2 H8 132.746 C6 C4 C5 60.000
C6 C4 H10 129.493 C6 C5 H11 129.493
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.165      
2 C -0.165      
3 C -0.165      
4 C -0.165      
5 C -0.165      
6 C -0.165      
7 H 0.165      
8 H 0.165      
9 H 0.165      
10 H 0.165      
11 H 0.165      
12 H 0.165      


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 -34.935 0.000 0.000
y 0.000 -34.935 0.000
z 0.000 0.000 -32.076
Traceless
 xyz
x -1.429 0.000 0.000
y 0.000 -1.429 0.000
z 0.000 0.000 2.859
Polar
3z2-r25.718
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 7.060 0.000 0.000
y 0.000 7.060 0.000
z 0.000 0.000 7.712


<r2> (average value of r2) Å2
<r2> 100.780
(<r2>)1/2 10.039