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All results from a given calculation for C6H6 (Prismane)

using model chemistry: wB97X-D/CEP-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 wB97X-D/CEP-31G*
 hartrees
Energy at 0K-37.360786
Energy at 298.15K-37.367461
HF Energy-37.360786
Nuclear repulsion energy110.334199
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 wB97X-D/CEP-31G*
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' 3245 3245 0.00      
2 A1' 1349 1349 0.00      
3 A1' 1146 1146 0.00      
4 A1' 965 965 0.00      
5 A1" 1011 1011 0.00      
6 A1" 639 639 0.00      
7 A2' 1012 1012 0.00      
8 A2" 3234 3234 64.61      
9 A2" 1389 1389 0.59      
10 A2" 985 985 3.81      
11 E' 3229 3229 36.67      
11 E' 3229 3229 37.04      
12 E' 1297 1297 11.23      
12 E' 1297 1297 11.36      
13 E' 981 981 1.61      
13 E' 981 981 1.63      
14 E' 877 877 1.95      
14 E' 877 877 1.95      
15 E' 834 834 70.08      
15 E' 834 834 70.37      
16 E" 3215 3215 0.00      
16 E" 3215 3215 0.00      
17 E" 1184 1184 0.00      
17 E" 1184 1184 0.00      
18 E" 1042 1042 0.00      
18 E" 1042 1042 0.00      
19 E" 799 799 0.00      
19 E" 799 799 0.00      
20 E" 699 699 0.00      
20 E" 699 699 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21643.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21643.0 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 wB97X-D/CEP-31G*
ABC
0.22921 0.17772 0.17772

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.885 0.782
C2 -0.766 -0.442 0.782
C3 0.766 -0.442 0.782
C4 0.000 0.885 -0.782
C5 0.766 -0.442 -0.782
C6 -0.766 -0.442 -0.782
H7 0.000 1.686 1.521
H8 -1.460 -0.843 1.521
H9 1.460 -0.843 1.521
H10 0.000 1.686 -1.521
H11 1.460 -0.843 -1.521
H12 -1.460 -0.843 -1.521

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.53231.53231.56502.19032.19031.09022.37992.37992.43943.22893.2289
C21.53231.53232.19032.19031.56502.37991.09022.37993.22893.22892.4394
C31.53231.53232.19031.56502.19032.37992.37991.09023.22892.43943.2289
C41.56502.19032.19031.53231.53232.43943.22893.22891.09022.37992.3799
C52.19032.19031.56501.53231.53233.22893.22892.43942.37991.09022.3799
C62.19031.56502.19031.53231.53233.22892.43943.22892.37992.37991.0902
H71.09022.37992.37992.43943.22893.22892.92072.92073.04294.21784.2178
H82.37991.09022.37993.22893.22892.43942.92072.92074.21784.21783.0429
H92.37992.37991.09023.22892.43943.22892.92072.92074.21783.04294.2178
H102.43943.22893.22891.09022.37992.37993.04294.21784.21782.92072.9207
H113.22893.22892.43942.37991.09022.37994.21784.21783.04292.92072.9207
H123.22892.43943.22892.37992.37991.09024.21783.04294.21782.92072.9207

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 129.549 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.549
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.672 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.549
C2 C3 C5 90.000 C2 C3 H9 129.549
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.672 C3 C1 C4 90.000
C3 C1 H7 129.549 C3 C2 C6 90.000
C3 C2 H8 129.549 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.672
C4 C1 H7 132.672 C4 C5 C6 60.000
C4 C5 H11 129.549 C4 C6 H12 129.549
C5 C3 H9 132.672 C5 C4 C6 60.000
C5 C4 H10 129.549 C5 C6 H12 129.549
C6 C2 H8 132.672 C6 C4 C5 60.000
C6 C4 H10 129.549 C6 C5 H11 129.549
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.283      
2 C -0.283      
3 C -0.283      
4 C -0.283      
5 C -0.283      
6 C -0.283      
7 H 0.283      
8 H 0.283      
9 H 0.283      
10 H 0.283      
11 H 0.283      
12 H 0.283      


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 -34.793 0.000 0.000
y 0.000 -34.793 0.000
z 0.000 0.000 -31.793
Traceless
 xyz
x -1.500 0.000 0.000
y 0.000 -1.500 0.000
z 0.000 0.000 3.000
Polar
3z2-r26.001
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 7.575 0.000 0.000
y 0.000 7.560 0.000
z 0.000 0.000 7.845


<r2> (average value of r2) Å2
<r2> 85.535
(<r2>)1/2 9.249