Reduction formula for point group S6

Your representation

E C3(z) (C3)2 i (S6)5 S6
120 0 0 0 0 0

can be reduced to

Ag Eg Au Eu
20 20 20 20

Substraction of translational and rotational contributions results in

Ag Eg Au Eu
19 19 19 19



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 114 114 19
quadratic 12996 6555 1102
cubic 1481544 253460 42256
quartic 168896016 7413705 1235893
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 19 19 19 19
quadratic 1102 1102 1083 1083
cubic 42256 42237 42256 42237
quartic 1235893 1235893 1235342 1235342

Number of independant internal coordinates 19

Literature




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