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All results from a given calculation for C6H6 (Prismane)

using model chemistry: TPSSh/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 TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-232.115321
Energy at 298.15K-232.121981
HF Energy-232.115321
Nuclear repulsion energy220.266961
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/6-31G(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' 3213 3100 0.00      
2 A1' 1313 1267 0.00      
3 A1' 1124 1084 0.00      
4 A1' 957 923 0.00      
5 A1" 1005 970 0.00      
6 A1" 645 622 0.00      
7 A2' 998 963 0.00      
8 A2" 3205 3093 64.57      
9 A2" 1360 1313 0.01      
10 A2" 983 948 1.65      
11 E' 3198 3086 38.56      
11 E' 3198 3086 38.58      
12 E' 1272 1228 7.40      
12 E' 1272 1228 7.39      
13 E' 951 918 0.71      
13 E' 951 918 0.71      
14 E' 859 829 0.59      
14 E' 859 829 0.60      
15 E' 833 804 39.99      
15 E' 833 804 40.02      
16 E" 3184 3073 0.00      
16 E" 3184 3073 0.00      
17 E" 1177 1136 0.00      
17 E" 1177 1136 0.00      
18 E" 1024 989 0.00      
18 E" 1024 989 0.00      
19 E" 793 766 0.00      
19 E" 793 766 0.00      
20 E" 690 666 0.00      
20 E" 690 666 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21382.7 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20634.3 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/6-31G(2df,p)
ABC
0.23262 0.18008 0.18008

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.878 0.778
C2 -0.761 -0.439 0.778
C3 0.761 -0.439 0.778
C4 0.000 0.878 -0.778
C5 0.761 -0.439 -0.778
C6 -0.761 -0.439 -0.778
H7 0.000 1.674 1.512
H8 -1.450 -0.837 1.512
H9 1.450 -0.837 1.512
H10 0.000 1.674 -1.512
H11 1.450 -0.837 -1.512
H12 -1.450 -0.837 -1.512

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.52101.52101.55562.17562.17561.08262.36272.36272.42393.20713.2071
C21.52101.52102.17562.17561.55562.36271.08262.36273.20713.20712.4239
C31.52101.52102.17561.55562.17562.36272.36271.08263.20712.42393.2071
C41.55562.17562.17561.52101.52102.42393.20713.20711.08262.36272.3627
C52.17562.17561.55561.52101.52103.20713.20712.42392.36271.08262.3627
C62.17561.55562.17561.52101.52103.20712.42393.20712.36272.36271.0826
H71.08262.36272.36272.42393.20713.20712.89952.89953.02344.18904.1890
H82.36271.08262.36273.20713.20712.42392.89952.89954.18904.18903.0234
H92.36272.36271.08263.20712.42393.20712.89952.89954.18903.02344.1890
H102.42393.20713.20711.08262.36272.36273.02344.18904.18902.89952.8995
H113.20713.20712.42392.36271.08262.36274.18904.18903.02342.89952.8995
H123.20712.42393.20712.36272.36271.08264.18903.02344.18902.89952.8995

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 129.542 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.542
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.681 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.542
C2 C3 C5 90.000 C2 C3 H9 129.542
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.681 C3 C1 C4 90.000
C3 C1 H7 129.542 C3 C2 C6 90.000
C3 C2 H8 129.542 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.681
C4 C1 H7 132.681 C4 C5 C6 60.000
C4 C5 H11 129.542 C4 C6 H12 129.542
C5 C3 H9 132.681 C5 C4 C6 60.000
C5 C4 H10 129.542 C5 C6 H12 129.542
C6 C2 H8 132.681 C6 C4 C5 60.000
C6 C4 H10 129.542 C6 C5 H11 129.542
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.106      
2 C -0.106      
3 C -0.106      
4 C -0.106      
5 C -0.106      
6 C -0.106      
7 H 0.106      
8 H 0.106      
9 H 0.106      
10 H 0.106      
11 H 0.106      
12 H 0.106      


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 7.454 0.000 0.000
y 0.000 7.453 0.000
z 0.000 0.000 8.162


<r2> (average value of r2) Å2
<r2> 101.333
(<r2>)1/2 10.066