Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
78 0 0 -2

can be reduced to

A E T
6 6 20

Substraction of translational and rotational contributions results in

A E T
6 6 18



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A E T
Infrared - - +
Raman + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 72 72 6
quadratic 5184 2628 228
cubic 373248 64824 5418
quartic 26873856 1215450 101454
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 A E T
linear 6 6 18
quadratic 228 228 648
cubic 5418 5394 16206
quartic 101454 101454 303696

Number of independant internal coordinates 6

Literature




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