Reduction formula for point group Cs

Your representation

E h
24 0

can be reduced to

A' A''
12 12

Substraction of translational and rotational contributions results in

A' A''
9 9



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A' A''
Infrared + +
Raman + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 18 18 9
quadratic 324 171 90
cubic 5832 1140 570
quartic 104976 5985 3015
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' A''
linear 9 9
quadratic 90 81
cubic 570 570
quartic 3015 2970

Number of independant internal coordinates 9

Literature




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