Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
252 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
42 42 42 42

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
41 41 41 41



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 246 246 41
quadratic 60516 30381 5084
cubic 14886936 2511496 418610
quartic XXX*XXX*XXX*
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 41 41 41 41
quadratic 5084 5084 5043 5043
cubic 418610 418569 418610 418569
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 41

Literature




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