Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
72 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
12 12 12 12

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
11 11 11 11



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 66 66 11
quadratic 4356 2211 374
cubic 287496 50116 8360
quartic 18974736 864501 144177
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 11 11 11 11
quadratic 374 374 363 363
cubic 8360 8349 8360 8349
quartic 144177 144177 143990 143990

Number of independant internal coordinates 11

Literature




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