Reduction formula for point group Cs

Your representation

E h
36 12

can be reduced to

A' A''
24 12

Substraction of translational and rotational contributions results in

A' A''
21 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 30 30 21
quadratic 900 465 276
cubic 27000 4960 2716
quartic 810000 40920 21516
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 21 9
quadratic 276 189
cubic 2716 2244
quartic 21516 19404

Number of independant internal coordinates 21

Literature




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