Reduction formula for point group S4

Your representation

E S4 C2 (S4)3
48 0 0 0

can be reduced to

A B E
12 12 12

Substraction of translational and rotational contributions results in

A B E
11 11 10



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A B E
Infrared - + +
Raman + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 11
quadratic 1764 903 232
cubic 74088 13244 3322
quartic 3111696 148995 37323
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 E
linear 11 11 10
quadratic 232 231 220
cubic 3322 3322 3300
quartic 37323 37312 37180

Number of independant internal coordinates 11

Literature




Character tables for chemically important point groups Character table for point group S4 Jacobs University Bremen