Reduction formula for point group S8

Your representation

E S8 C4 (z) (S8)3 C2 (S8)5 (C4)3 (S8)7
48 0.0000 0 -0.0000 0 -0.0000 0 0.0000

can be reduced to

A B E1 E2 E3
6 6 6 6 6

Substraction of translational and rotational contributions results in

A B E1 E2 E3
5 5 5 6 5



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 42 42 5
quadratic 1764 903 116
cubic 74088 13244 1660
quartic 3111696 148995 18663
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 5 5 5 6 5
quadratic 116 117 110 115 110
cubic 1660 1660 1650 1662 1650
quartic 18663 18662 18590 18655 18590

Number of independant internal coordinates 5

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