Reduction formula for point group Cs

Your representation

E h
54 18

can be reduced to

A' A''
36 18

Substraction of translational and rotational contributions results in

A' A''
33 15



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 48 48 33
quadratic 2304 1176 681
cubic 110592 19600 10505
quartic 5308416 249900 129285
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 33 15
quadratic 681 495
cubic 10505 9095
quartic 129285 120615

Number of independant internal coordinates 33

Literature




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