Reduction formula for point group S8

Your representation

E S8 C4 (z) (S8)3 C2 (S8)5 (C4)3 (S8)7
72 0.0000 0 -0.0000 0 -0.0000 0 0.0000

can be reduced to

A B E1 E2 E3
9 9 9 9 9

Substraction of translational and rotational contributions results in

A B E1 E2 E3
8 8 8 9 8



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 66 66 8
quadratic 4356 2211 281
cubic 287496 50116 6272
quartic 18974736 864501 108147
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 8 8 8 9 8
quadratic 281 282 272 280 272
cubic 6272 6272 6256 6274 6256
quartic 108147 108146 107984 108136 107984

Number of independant internal coordinates 8

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