Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
57 0 0 -3

can be reduced to

A E T
4 4 15

Substraction of translational and rotational contributions results in

A E T
4 4 13



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 51 51 4
quadratic 2601 1326 117
cubic 132651 23426 1957
quartic 6765201 316251 26442
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 4 4 13
quadratic 117 117 325
cubic 1957 1940 5863
quartic 26442 26442 78975

Number of independant internal coordinates 4

Literature




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