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All results from a given calculation for C6H6 (Prismane)

using model chemistry: wB97X-D/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 wB97X-D/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.060092
Energy at 298.15K-232.066797
HF Energy-232.060092
Nuclear repulsion energy221.168386
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/6-311+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' 3234 3234 0.00      
2 A1' 1323 1323 0.00      
3 A1' 1139 1139 0.00      
4 A1' 966 966 0.00      
5 A1" 1017 1017 0.00      
6 A1" 648 648 0.00      
7 A2' 1019 1019 0.00      
8 A2" 3225 3225 36.63      
9 A2" 1371 1371 0.29      
10 A2" 988 988 3.82      
11 E' 3219 3219 20.54      
11 E' 3219 3219 20.56      
12 E' 1285 1285 12.99      
12 E' 1285 1285 13.04      
13 E' 954 954 1.74      
13 E' 954 954 1.73      
14 E' 869 869 0.49      
14 E' 869 869 0.49      
15 E' 829 829 55.69      
15 E' 829 829 55.51      
16 E" 3207 3207 0.00      
16 E" 3207 3207 0.00      
17 E" 1196 1196 0.00      
17 E" 1196 1196 0.00      
18 E" 1030 1030 0.00      
18 E" 1030 1030 0.00      
19 E" 788 788 0.00      
19 E" 788 788 0.00      
20 E" 698 698 0.00      
20 E" 698 698 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 21538.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21538.9 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/6-311+G(3df,2p)
ABC
0.23472 0.18149 0.18149

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311+G(3df,2p)

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.874 0.775
C2 -0.757 -0.437 0.775
C3 0.757 -0.437 0.775
C4 0.000 0.874 -0.775
C5 0.757 -0.437 -0.775
C6 -0.757 -0.437 -0.775
H7 0.000 1.667 1.507
H8 -1.444 -0.834 1.507
H9 1.444 -0.834 1.507
H10 0.000 1.667 -1.507
H11 1.444 -0.834 -1.507
H12 -1.444 -0.834 -1.507

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.51401.51401.55012.16682.16681.07892.35282.35282.41563.19483.1948
C21.51401.51402.16682.16681.55012.35281.07892.35283.19483.19482.4156
C31.51401.51402.16681.55012.16682.35282.35281.07893.19482.41563.1948
C41.55012.16682.16681.51401.51402.41563.19483.19481.07892.35282.3528
C52.16682.16681.55011.51401.51403.19483.19482.41562.35281.07892.3528
C62.16681.55012.16681.51401.51403.19482.41563.19482.35282.35281.0789
H71.07892.35282.35282.41563.19483.19482.88742.88743.01344.17344.1734
H82.35281.07892.35283.19483.19482.41562.88742.88744.17344.17343.0134
H92.35282.35281.07893.19482.41563.19482.88742.88744.17343.01344.1734
H102.41563.19483.19481.07892.35282.35283.01344.17344.17342.88742.8874
H113.19483.19482.41562.35281.07892.35284.17344.17343.01342.88742.8874
H123.19482.41563.19482.35282.35281.07894.17343.01344.17342.88742.8874

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 129.527 C1 C3 C2 60.000
C1 C3 C5 90.000 C1 C3 H9 129.527
C1 C4 C5 90.000 C1 C4 C6 90.000
C1 C4 H10 132.701 C2 C1 C3 60.000
C2 C1 C4 90.000 C2 C1 H7 129.527
C2 C3 C5 90.000 C2 C3 H9 129.528
C2 C6 C4 90.000 C2 C6 C5 90.000
C2 C6 H12 132.701 C3 C1 C4 90.000
C3 C1 H7 129.527 C3 C2 C6 90.000
C3 C2 H8 129.528 C3 C5 C4 90.000
C3 C5 C6 90.000 C3 C5 H11 132.701
C4 C1 H7 132.701 C4 C5 C6 60.000
C4 C5 H11 129.527 C4 C6 H12 129.527
C5 C3 H9 132.701 C5 C4 C6 60.000
C5 C4 H10 129.527 C5 C6 H12 129.528
C6 C2 H8 132.701 C6 C4 C5 60.000
C6 C4 H10 129.527 C6 C5 H11 129.528
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.152      
2 C -0.152      
3 C -0.152      
4 C -0.152      
5 C -0.152      
6 C -0.152      
7 H 0.152      
8 H 0.152      
9 H 0.152      
10 H 0.152      
11 H 0.152      
12 H 0.152      


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 -35.379 0.000 0.000
y 0.000 -35.379 0.000
z 0.000 0.000 -32.826
Traceless
 xyz
x -1.276 0.000 0.000
y 0.000 -1.276 0.000
z 0.000 0.000 2.552
Polar
3z2-r25.105
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 8.391 0.000 0.000
y 0.000 8.392 0.000
z 0.000 0.000 8.794


<r2> (average value of r2) Å2
<r2> 100.992
(<r2>)1/2 10.049