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All results from a given calculation for C6H6 (Prismane)

using model chemistry: wB97X-D/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 wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-232.009231
Energy at 298.15K-232.015953
HF Energy-232.009231
Nuclear repulsion energy220.687861
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/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' 3246 3246 0.00      
2 A1' 1325 1325 0.00      
3 A1' 1141 1141 0.00      
4 A1' 967 967 0.00      
5 A1" 1022 1022 0.00      
6 A1" 652 652 0.00      
7 A2' 1017 1017 0.00      
8 A2" 3237 3237 41.76      
9 A2" 1378 1378 0.02      
10 A2" 989 989 2.31      
11 E' 3230 3230 24.61      
11 E' 3230 3230 24.69      
12 E' 1289 1289 8.83      
12 E' 1289 1289 8.87      
13 E' 965 965 0.38      
13 E' 965 965 0.39      
14 E' 874 874 1.11      
14 E' 874 874 1.11      
15 E' 835 835 45.20      
15 E' 835 835 45.36      
16 E" 3218 3218 0.00      
16 E" 3218 3218 0.00      
17 E" 1197 1197 0.00      
17 E" 1197 1197 0.00      
18 E" 1038 1038 0.00      
18 E" 1038 1038 0.00      
19 E" 798 798 0.00      
19 E" 798 798 0.00      
20 E" 707 707 0.00      
20 E" 707 707 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21637.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21637.2 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 wB97X-D/6-31G(2df,p)
ABC
0.23358 0.18074 0.18074

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

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 1.509
H8 -1.447 -0.836 1.509
H9 1.447 -0.836 1.509
H10 0.000 1.671 -1.509
H11 1.447 -0.836 -1.509
H12 -1.447 -0.836 -1.509

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51781.51781.55312.17152.17151.08072.35812.35812.41963.20123.2012
C21.51781.51782.17152.17151.55312.35811.08072.35813.20123.20122.4196
C31.51781.51782.17151.55312.17152.35812.35811.08073.20122.41963.2012
C41.55312.17152.17151.51781.51782.41963.20123.20121.08072.35812.3581
C52.17152.17151.55311.51781.51783.20123.20122.41962.35811.08072.3581
C62.17151.55312.17151.51781.51783.20122.41963.20122.35812.35811.0807
H71.08072.35812.35812.41963.20123.20122.89432.89433.01774.18134.1813
H82.35811.08072.35813.20123.20122.41962.89432.89434.18134.18133.0177
H92.35812.35811.08073.20122.41963.20122.89432.89434.18133.01774.1813
H102.41963.20123.20121.08072.35812.35813.01774.18134.18132.89432.8943
H113.20123.20122.41962.35811.08072.35814.18134.18133.01772.89432.8943
H123.20122.41963.20122.35812.35811.08074.18133.01774.18132.89432.8943

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 129.560 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.560
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.658 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.560
C2 C3 C5 90.000 C2 C3 H9 129.560
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.658 C3 C1 C4 90.000
C3 C1 H7 129.560 C3 C2 C6 90.000
C3 C2 H8 129.560 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.658
C4 C1 H7 132.658 C4 C5 C6 60.000
C4 C5 H11 129.560 C4 C6 H12 129.560
C5 C3 H9 132.658 C5 C4 C6 60.000
C5 C4 H10 129.560 C5 C6 H12 129.560
C6 C2 H8 132.658 C6 C4 C5 60.000
C6 C4 H10 129.560 C6 C5 H11 129.560
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.116      
2 C -0.116      
3 C -0.116      
4 C -0.116      
5 C -0.116      
6 C -0.116      
7 H 0.116      
8 H 0.116      
9 H 0.116      
10 H 0.116      
11 H 0.116      
12 H 0.116      


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 -34.760 0.000 0.000
y 0.000 -34.760 0.000
z 0.000 0.000 -32.276
Traceless
 xyz
x -1.242 0.000 0.000
y 0.000 -1.242 0.000
z 0.000 0.000 2.485
Polar
3z2-r24.970
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 7.375 0.000 0.000
y 0.000 7.376 0.000
z 0.000 0.000 7.991


<r2> (average value of r2) Å2
<r2> 100.958
(<r2>)1/2 10.048