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All results from a given calculation for C6H6 (Prismane)

using model chemistry: TPSSh/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.164396
Energy at 298.15K-232.171026
HF Energy-232.164396
Nuclear repulsion energy220.635562
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 TPSSh/6-311+G(3df,2p)
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' 3198 3198 0.00      
2 A1' 1307 1307 0.00      
3 A1' 1121 1121 0.00      
4 A1' 953 953 0.00      
5 A1" 996 996 0.00      
6 A1" 640 640 0.00      
7 A2' 999 999 0.00      
8 A2" 3190 3190 57.86      
9 A2" 1350 1350 0.54      
10 A2" 980 980 3.01      
11 E' 3183 3183 34.16      
11 E' 3183 3183 34.17      
12 E' 1265 1265 11.90      
12 E' 1265 1265 11.90      
13 E' 938 938 2.66      
13 E' 938 938 2.65      
14 E' 854 854 0.12      
14 E' 854 854 0.12      
15 E' 823 823 49.64      
15 E' 823 823 49.68      
16 E" 3170 3170 0.00      
16 E" 3170 3170 0.00      
17 E" 1175 1175 0.00      
17 E" 1175 1175 0.00      
18 E" 1014 1014 0.00      
18 E" 1014 1014 0.00      
19 E" 781 781 0.00      
19 E" 781 781 0.00      
20 E" 678 678 0.00      
20 E" 678 678 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21247.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21247.5 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 TPSSh/6-311+G(3df,2p)
ABC
0.23354 0.18064 0.18064

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

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 1.510
H8 -1.447 -0.835 1.510
H9 1.447 -0.835 1.510
H10 0.000 1.671 -1.510
H11 1.447 -0.835 -1.510
H12 -1.447 -0.835 -1.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51801.51801.55352.17202.17201.08132.35842.35842.42113.20233.2023
C21.51801.51802.17202.17201.55352.35841.08132.35843.20233.20232.4211
C31.51801.51802.17201.55352.17202.35842.35841.08133.20232.42113.2023
C41.55352.17202.17201.51801.51802.42113.20233.20231.08132.35842.3584
C52.17202.17201.55351.51801.51803.20233.20232.42112.35841.08132.3584
C62.17201.55352.17201.51801.51803.20232.42113.20232.35842.35841.0813
H71.08132.35842.35842.42113.20233.20232.89392.89393.02054.18314.1831
H82.35841.08132.35843.20233.20232.42112.89392.89394.18314.18313.0205
H92.35842.35841.08133.20232.42113.20232.89392.89394.18313.02054.1831
H102.42113.20233.20231.08132.35842.35843.02054.18314.18312.89392.8939
H113.20233.20232.42112.35841.08132.35844.18314.18313.02052.89392.8939
H123.20232.42113.20232.35842.35841.08134.18313.02054.18312.89392.8939

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 129.514 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.514
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.719 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.514
C2 C3 C5 90.000 C2 C3 H9 129.514
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.719 C3 C1 C4 90.000
C3 C1 H7 129.514 C3 C2 C6 90.000
C3 C2 H8 129.514 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.719
C4 C1 H7 132.719 C4 C5 C6 60.000
C4 C5 H11 129.514 C4 C6 H12 129.514
C5 C3 H9 132.719 C5 C4 C6 60.000
C5 C4 H10 129.514 C5 C6 H12 129.514
C6 C2 H8 132.719 C6 C4 C5 60.000
C6 C4 H10 129.514 C6 C5 H11 129.514
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.086      
2 C -0.086      
3 C -0.086      
4 C -0.086      
5 C -0.086      
6 C -0.086      
7 H 0.086      
8 H 0.086      
9 H 0.086      
10 H 0.086      
11 H 0.086      
12 H 0.086      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.592 0.000 0.000
y 0.000 8.591 0.000
z 0.000 0.000 9.067


<r2> (average value of r2) Å2
<r2> 101.492
(<r2>)1/2 10.074