Reduction formula for point group Cs

Your representation

E h
57 9

can be reduced to

A' A''
33 24

Substraction of translational and rotational contributions results in

A' A''
30 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 51 51 30
quadratic 2601 1326 696
cubic 132651 23426 11890
quartic 6765201 316251 158961
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 30 21
quadratic 696 630
cubic 11890 11536
quartic 158961 157290

Number of independant internal coordinates 30

Literature




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