Reduction formula for point group S4

Your representation

E S4 C2 (S4)3
24 0 0 0

can be reduced to

A B E
6 6 6

Substraction of translational and rotational contributions results in

A B E
5 5 4



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 18 18 5
quadratic 324 171 46
cubic 5832 1140 290
quartic 104976 5985 1515
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 5 5 4
quadratic 46 45 40
cubic 290 290 280
quartic 1515 1510 1480

Number of independant internal coordinates 5

Literature




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