Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
21 0 0 -3 0 0

can be reduced to

Ag Eg Au Eu
3 3 4 4

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
2 2 3 3



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 15 15 2
quadratic 225 120 22
cubic 3375 680 110
quartic 50625 3060 522
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 3 3
quadratic 22 22 18 18
cubic 110 108 120 117
quartic 522 522 498 498

Number of independant internal coordinates 2

Literature




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