Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
36 0 0 0

can be reduced to

A E T
3 3 9

Substraction of translational and rotational contributions results in

A E T
3 3 7



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 30 30 3
quadratic 900 465 43
cubic 27000 4960 428
quartic 810000 40920 3448
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 3 3 7
quadratic 43 43 112
cubic 428 418 1232
quartic 3448 3448 10192

Number of independant internal coordinates 3

Literature




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