Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
60 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
10 10 10 10

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
9 9 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 54 54 9
quadratic 2916 1485 252
cubic 157464 27720 4626
quartic 8503056 395010 65898
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 9 9 9 9
quadratic 252 252 243 243
cubic 4626 4617 4626 4617
quartic 65898 65898 65772 65772

Number of independant internal coordinates 9

Literature




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