Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
18 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
3 3 3 3

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
2 2 2 2



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 12 12 2
quadratic 144 78 14
cubic 1728 364 62
quartic 20736 1365 231
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 2 2 2 2
quadratic 14 14 12 12
cubic 62 60 62 60
quartic 231 231 224 224

Number of independant internal coordinates 2

Literature




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