Reduction formula for point group Cs

Your representation

E h
48 0

can be reduced to

A' A''
24 24

Substraction of translational and rotational contributions results in

A' A''
21 21



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 42 42 21
quadratic 1764 903 462
cubic 74088 13244 6622
quartic 3111696 148995 74613
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 21
quadratic 462 441
cubic 6622 6622
quartic 74613 74382

Number of independant internal coordinates 21

Literature




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