Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
324 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
54 54 54 54

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
53 53 53 53



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 318 318 53
quadratic 101124 50721 8480
cubic 32157432 5410240 901742
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 53 53 53 53
quadratic 8480 8480 8427 8427
cubic 901742 901689 901742 901689
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 53

Literature




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