Reduction formula for point group Th

Your representation

E 4C3 4(C3)2 3C2 i 4(S6)5 4S6 3h
120 0 0 0 0 0 0 8

can be reduced to

Ag Eg Tg Au Eu Tu
6 6 14 4 4 16

Substraction of translational and rotational contributions results in

Ag Eg Tg Au Eu Tu
6 6 13 4 4 15



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method Ag Eg Tg Au Eu Tu
Infrared - - - - - +
Raman + + + - - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 114 114 6
quadratic 12996 6555 294
cubic 1481544 253460 10656
quartic 168896016 7413705 309653
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 Tg Au Eu Tu
linear 6 6 13 4 4 15
quadratic 294 294 808 267 267 816
cubic 10656 10637 31600 10520 10501 31736
quartic 309653 309653 926240 308598 308598 926744

Number of independant internal coordinates 6

Literature




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