Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
57 0 0 -3 0 0

can be reduced to

Ag Eg Au Eu
9 9 10 10

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
8 8 9 9



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 51 51 8
quadratic 2601 1326 226
cubic 132651 23426 3896
quartic 6765201 316251 52785
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 8 8 9 9
quadratic 226 226 216 216
cubic 3896 3888 3924 3915
quartic 52785 52785 52632 52632

Number of independant internal coordinates 8

Literature




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