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All results from a given calculation for C6H6 (Prismane)

using model chemistry: TPSSh/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 TPSSh/3-21G*
 hartrees
Energy at 0K-230.803922
Energy at 298.15K-230.810545
HF Energy-230.803922
Nuclear repulsion energy216.920109
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/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' 3270 3158 0.00      
2 A1' 1250 1207 0.00      
3 A1' 1104 1066 0.00      
4 A1' 952 919 0.00      
5 A1" 1043 1007 0.00      
6 A1" 634 612 0.00      
7 A2' 1041 1006 0.00      
8 A2" 3253 3141 49.96      
9 A2" 1289 1245 0.20      
10 A2" 960 927 3.75      
11 E' 3243 3132 23.66      
11 E' 3243 3132 23.65      
12 E' 1249 1206 17.55      
12 E' 1249 1206 17.54      
13 E' 945 912 3.72      
13 E' 945 912 3.71      
14 E' 840 811 2.84      
14 E' 840 811 2.84      
15 E' 822 794 54.46      
15 E' 822 794 54.46      
16 E" 3230 3119 0.00      
16 E" 3230 3119 0.00      
17 E" 1171 1131 0.00      
17 E" 1171 1131 0.00      
18 E" 1026 991 0.00      
18 E" 1026 991 0.00      
19 E" 770 743 0.00      
19 E" 770 743 0.00      
20 E" 722 697 0.00      
20 E" 722 697 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21415.9 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 20681.3 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/3-21G*
ABC
0.22383 0.17496 0.17496

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

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.896 0.790
C2 -0.776 -0.448 0.790
C3 0.776 -0.448 0.790
C4 0.000 0.896 -0.790
C5 0.776 -0.448 -0.790
C6 -0.776 -0.448 -0.790
H7 0.000 1.700 1.510
H8 -1.472 -0.850 1.510
H9 1.472 -0.850 1.510
H10 0.000 1.700 -1.510
H11 1.472 -0.850 -1.510
H12 -1.472 -0.850 -1.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.55241.55241.57952.21472.21471.07892.39482.39482.43583.24103.2410
C21.55241.55242.21472.21471.57952.39481.07892.39483.24103.24102.4358
C31.55241.55242.21471.57952.21472.39482.39481.07893.24102.43583.2410
C41.57952.21472.21471.55241.55242.43583.24103.24101.07892.39482.3948
C52.21472.21471.57951.55241.55243.24103.24102.43582.39481.07892.3948
C62.21471.57952.21471.55241.55243.24102.43583.24102.39482.39481.0789
H71.07892.39482.39482.43583.24103.24102.94432.94433.01944.21734.2173
H82.39481.07892.39483.24103.24102.43582.94432.94434.21734.21733.0194
H92.39482.39481.07893.24102.43583.24102.94432.94434.21733.01944.2173
H102.43583.24103.24101.07892.39482.39483.01944.21734.21732.94432.9443
H113.24103.24102.43582.39481.07892.39484.21734.21733.01942.94432.9443
H123.24102.43583.24102.39482.39481.07894.21733.01944.21732.94432.9443

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 130.167 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 130.167
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 131.857 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 130.167
C2 C3 C5 90.000 C2 C3 H9 130.167
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 131.857 C3 C1 C4 90.000
C3 C1 H7 130.167 C3 C2 C6 90.000
C3 C2 H8 130.167 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 131.857
C4 C1 H7 131.857 C4 C5 C6 60.000
C4 C5 H11 130.167 C4 C6 H12 130.167
C5 C3 H9 131.857 C5 C4 C6 60.000
C5 C4 H10 130.167 C5 C6 H12 130.167
C6 C2 H8 131.857 C6 C4 C5 60.000
C6 C4 H10 130.167 C6 C5 H11 130.167
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.181      
2 C -0.181      
3 C -0.181      
4 C -0.181      
5 C -0.181      
6 C -0.181      
7 H 0.181      
8 H 0.181      
9 H 0.181      
10 H 0.181      
11 H 0.181      
12 H 0.181      


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 6.837 0.000 0.000
y 0.000 6.837 0.000
z 0.000 0.000 7.328


<r2> (average value of r2) Å2
<r2> 103.897
(<r2>)1/2 10.193