Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
180 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
30 30 30 30

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
29 29 29 29



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 174 174 29
quadratic 30276 15225 2552
cubic 5268024 893200 148886
quartic 916636176 39524100 6587988
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 29 29 29 29
quadratic 2552 2552 2523 2523
cubic 148886 148857 148886 148857
quartic 6587988 6587988 6586712 6586712

Number of independant internal coordinates 29

Literature




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