Reduction formula for point group S8

Your representation

E S8 C4 (z) (S8)3 C2 (S8)5 (C4)3 (S8)7
24 0.0000 0 -0.0000 0 -0.0000 0 0.0000

can be reduced to

A B E1 E2 E3
3 3 3 3 3

Substraction of translational and rotational contributions results in

A B E1 E2 E3
2 2 2 3 2


Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A B E1 E2 E3
Infrared - + + - -
Raman + - - + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 18 18 2
quadratic 324 171 23
cubic 5832 1140 144
quartic 104976 5985 759
No. 1 : Total number of force constants .
No. 2 : Total number of force constants k.
No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field A B E1 E2 E3
linear 2 2 2 3 2
quadratic 23 24 20 22 20
cubic 144 144 140 146 140
quartic 759 758 740 754 740

Number of independant internal coordinates 2

Literature



Character tables for chemically important point groups Character table for point group S8 Constructor University Bremen
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement