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All results from a given calculation for C8H8 (cubane)

using model chemistry: PBEPBEultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes OH 1A1G
Energy calculated at PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-307.402226
Energy at 298.15K-307.412210
HF Energy-307.402226
Nuclear repulsion energy361.387051
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 PBEPBEultrafine/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 A1g 3121 3093 0.00 437.56 0.00 0.00
2 A1g 997 988 0.00 55.31 0.00 0.00
3 A2u 3076 3048 0.00 0.00 0.00 0.00
4 A2u 1060 1051 0.00 0.00 0.00 0.00
5 Eg 1087 1078 0.00 1.57 0.75 0.86
5 Eg 1087 1078 0.00 1.57 0.75 0.86
6 Eg 919 910 0.00 32.37 0.75 0.86
6 Eg 919 910 0.00 32.37 0.75 0.86
7 Eu 1198 1187 0.00 0.00 0.00 0.00
7 Eu 1198 1187 0.00 0.00 0.00 0.00
8 Eu 631 625 0.00 0.00 0.00 0.00
8 Eu 631 625 0.00 0.00 0.00 0.00
9 T1g 1153 1142 0.00 0.00 0.00 0.00
9 T1g 1153 1142 0.00 0.00 0.00 0.00
9 T1g 1153 1142 0.00 0.00 0.00 0.00
10 T1u 3097 3068 93.93 0.00 0.00 0.00
10 T1u 3097 3068 93.93 0.00 0.00 0.00
10 T1u 3097 3068 93.93 0.00 0.00 0.00
11 T1u 1223 1212 10.64 0.00 0.00 0.00
11 T1u 1223 1212 10.64 0.00 0.00 0.00
11 T1u 1223 1212 10.64 0.00 0.00 0.00
12 T1u 861 853 11.88 0.00 0.00 0.00
12 T1u 861 853 11.88 0.00 0.00 0.00
12 T1u 861 853 11.88 0.00 0.00 0.00
13 T2g 3086 3058 0.00 200.73 0.75 0.86
13 T2g 3086 3058 0.00 200.73 0.75 0.86
13 T2g 3086 3058 0.00 200.73 0.75 0.86
14 T2g 1186 1175 0.00 11.33 0.75 0.86
14 T2g 1186 1175 0.00 11.33 0.75 0.86
14 T2g 1186 1175 0.00 11.33 0.75 0.86
15 T2g 830 823 0.00 9.12 0.75 0.86
15 T2g 830 823 0.00 9.12 0.75 0.86
15 T2g 830 823 0.00 9.12 0.75 0.86
16 T2g 698 692 0.00 1.12 0.75 0.86
16 T2g 698 692 0.00 1.12 0.75 0.86
16 T2g 698 692 0.00 1.12 0.75 0.86
17 T2u 1045 1035 0.00 0.00 0.00 0.00
17 T2u 1045 1035 0.00 0.00 0.00 0.00
17 T2u 1045 1035 0.00 0.00 0.00 0.00
18 T2u 840 832 0.00 0.00 0.00 0.00
18 T2u 840 832 0.00 0.00 0.00 0.00
18 T2u 840 832 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 28989.1 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 28725.3 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 PBEPBEultrafine/3-21G
ABC
0.10849 0.10849 0.10849

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

Point Group is Oh

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.798 0.798 0.798
C2 -0.798 0.798 0.798
C3 0.798 0.798 -0.798
C4 -0.798 0.798 -0.798
C5 0.798 -0.798 0.798
C6 -0.798 -0.798 0.798
C7 0.798 -0.798 -0.798
C8 -0.798 -0.798 -0.798
H9 1.431 1.431 1.431
H10 -1.431 1.431 1.431
H11 1.431 1.431 -1.431
H12 -1.431 1.431 -1.431
H13 1.431 -1.431 1.431
H14 -1.431 -1.431 1.431
H15 1.431 -1.431 -1.431
H16 -1.431 -1.431 -1.431

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16
C11.59671.59672.25811.59672.25812.25812.76561.09492.40152.40153.21492.40153.21493.21493.8605
C21.59672.25811.59672.25811.59672.76562.25812.40151.09493.21492.40153.21492.40153.86053.2149
C31.59672.25811.59672.25812.76561.59672.25812.40153.21491.09492.40153.21493.86052.40153.2149
C42.25811.59671.59672.76562.25812.25811.59673.21492.40152.40151.09493.86053.21493.21492.4015
C51.59672.25812.25812.76561.59671.59672.25812.40153.21493.21493.86051.09492.40152.40153.2149
C62.25811.59672.76562.25811.59672.25811.59673.21492.40153.86053.21492.40151.09493.21492.4015
C72.25812.76561.59672.25811.59672.25811.59673.21493.86052.40153.21492.40153.21491.09492.4015
C82.76562.25812.25811.59672.25811.59671.59673.86053.21493.21492.40153.21492.40152.40151.0949
H91.09492.40152.40153.21492.40153.21493.21493.86052.86102.86104.04612.86104.04614.04614.9554
H102.40151.09493.21492.40153.21492.40153.86053.21492.86104.04612.86104.04612.86104.95544.0461
H112.40153.21491.09492.40153.21493.86052.40153.21492.86104.04612.86104.04614.95542.86104.0461
H123.21492.40152.40151.09493.86053.21493.21492.40154.04612.86102.86104.95544.04614.04612.8610
H132.40153.21493.21493.86051.09492.40152.40153.21492.86104.04614.04614.95542.86102.86104.0461
H143.21492.40153.86053.21492.40151.09493.21492.40154.04612.86104.95544.04612.86104.04612.8610
H153.21493.86052.40153.21492.40153.21491.09492.40154.04614.95542.86104.04612.86104.04612.8610
H163.86053.21493.21492.40153.21492.40152.40151.09494.95544.04614.04612.86104.04612.86102.8610

picture of cubane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 90.000 C1 C2 C6 90.000
C1 C2 H10 125.264 C1 C3 C4 90.000
C1 C3 C7 90.000 C1 C3 H11 125.264
C1 C5 C6 90.000 C1 C5 C7 90.000
C1 C5 H13 125.264 C2 C1 C3 90.000
C2 C1 C5 90.000 C2 C1 H9 125.264
C2 C4 C3 90.000 C2 C4 C8 90.000
C2 C4 H12 125.264 C2 C6 C5 90.000
C2 C6 C8 90.000 C2 C6 H14 125.264
C3 C1 C5 90.000 C3 C1 H9 125.264
C3 C4 C8 90.000 C3 C4 H12 125.264
C3 C7 C5 90.000 C3 C7 C8 90.000
C3 C7 H15 125.264 C4 C2 C6 90.000
C4 C2 H10 125.264 C4 C3 C7 90.000
C4 C3 H11 125.264 C4 C8 C6 90.000
C4 C8 C7 90.000 C4 C8 H16 125.264
C5 C1 H9 125.264 C5 C6 C8 90.000
C5 C6 H14 125.264 C5 C7 C8 90.000
C5 C7 H15 125.264 C6 C2 H10 125.264
C6 C5 C7 90.000 C6 C5 H13 125.264
C6 C8 C7 90.000 C6 C8 H16 125.264
C7 C3 H11 125.264 C7 C5 H13 125.264
C7 C8 H16 125.264 C8 C4 H12 125.264
C8 C6 H14 125.264 C8 C7 H15 125.264
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.156      
2 C -0.156      
3 C -0.156      
4 C -0.156      
5 C -0.156      
6 C -0.156      
7 C -0.156      
8 C -0.156      
9 H 0.156      
10 H 0.156      
11 H 0.156      
12 H 0.156      
13 H 0.156      
14 H 0.156      
15 H 0.156      
16 H 0.156      


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 -46.416 0.000 0.000
y 0.000 -46.416 0.000
z 0.000 0.000 -46.416
Traceless
 xyz
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000
Polar
3z2-r20.000
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 9.583 0.000 0.000
y 0.000 9.583 0.000
z 0.000 0.000 9.583


<r2> (average value of r2) Å2
<r2> 169.888
(<r2>)1/2 13.034