Reduction formula for point group Cs

Your representation

E h
21 3

can be reduced to

A' A''
12 9

Substraction of translational and rotational contributions results in

A' A''
9 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 15 15 9
quadratic 225 120 66
cubic 3375 680 354
quartic 50625 3060 1566
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 6
quadratic 66 54
cubic 354 326
quartic 1566 1494

Number of independant internal coordinates 9

Literature




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