Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
66 0 0 -2

can be reduced to

A E T
5 5 17

Substraction of translational and rotational contributions results in

A E T
5 5 15



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 60 60 5
quadratic 3600 1830 160
cubic 216000 37820 3165
quartic 12960000 595665 49755
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 5 5 15
quadratic 160 160 450
cubic 3165 3145 9455
quartic 49755 49755 148800

Number of independant internal coordinates 5

Literature




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