Reduction formula for point group S8

Your representation

E S8 C4 (z) (S8)3 C2 (S8)5 (C4)3 (S8)7
99 0.4142 1 -2.4142 -1 -2.4142 1 0.4142

can be reduced to

A B E1 E2 E3
12 13 13 12 12

Substraction of translational and rotational contributions results in

A B E1 E2 E3
11 12 12 12 11



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 93 93 11
quadratic 8649 4371 553
cubic 804357 138415 17307
quartic 74805201 3321960 415392
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 11 12 12 12 11
quadratic 553 552 540 552 541
cubic 17307 17308 17296 17308 17296
quartic 415392 415392 415104 415380 415104

Number of independant internal coordinates 11

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