Reduction formula for point group Cs

Your representation

E h
18 6

can be reduced to

A' A''
12 6

Substraction of translational and rotational contributions results in

A' A''
9 3



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 9
quadratic 144 78 51
cubic 1728 364 219
quartic 20736 1365 780
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 3
quadratic 51 27
cubic 219 145
quartic 780 585

Number of independant internal coordinates 9

Literature




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