Reduction formula for point group Cs

Your representation

E h
18 0

can be reduced to

A' A''
9 9

Substraction of translational and rotational contributions results in

A' A''
6 6



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 12 12 6
quadratic 144 78 42
cubic 1728 364 182
quartic 20736 1365 693
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 6 6
quadratic 42 36
cubic 182 182
quartic 693 672

Number of independant internal coordinates 6

Literature




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