Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
48 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
8 8 8 8

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
7 7 7 7



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method Ag Eg Au Eu
Infrared - - + +
Raman + + - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 7
quadratic 1764 903 154
cubic 74088 13244 2212
quartic 3111696 148995 24871
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 Ag Eg Au Eu
linear 7 7 7 7
quadratic 154 154 147 147
cubic 2212 2205 2212 2205
quartic 24871 24871 24794 24794

Number of independant internal coordinates 7

Literature




Character tables for chemically important point groups Character table for point group S6 Jacobs University Bremen