Reduction formula for point group Td

Your representation

E 8C3 3C2 6S4 6d
78 0 -2 0 8

can be reduced to

A1 A2 E T1 T2
5 1 6 8 12

Substraction of translational and rotational contributions results in

A1 A2 E T1 T2
5 1 6 7 11



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E T1 T2
Infrared - - - - +
Raman + - + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 72 72 5
quadratic 5184 2628 131
cubic 373248 64824 2803
quartic 26873856 1215450 51234
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 A1 A2 E T1 T2
linear 5 1 6 7 11
quadratic 131 97 228 307 341
cubic 2803 2615 5394 8009 8197
quartic 51234 50220 101454 151350 152346

Number of independant internal coordinates 5

Literature




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