Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
36 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
6 6 6 6

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
5 5 5 5



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 30 30 5
quadratic 900 465 80
cubic 27000 4960 830
quartic 810000 40920 6840
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 5 5 5 5
quadratic 80 80 75 75
cubic 830 825 830 825
quartic 6840 6840 6800 6800

Number of independant internal coordinates 5

Literature




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