Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
21 0 0 -3

can be reduced to

A E T
1 1 6

Substraction of translational and rotational contributions results in

A E T
1 1 4



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 15 15 1
quadratic 225 120 12
cubic 3375 680 58
quartic 50625 3060 264
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 1 1 4
quadratic 12 12 28
cubic 58 53 172
quartic 264 264 756

Number of independant internal coordinates 1

Literature




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