Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
51 0 0 -1

can be reduced to

A E T
4 4 13

Substraction of translational and rotational contributions results in

A E T
4 4 11



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 45 45 4
quadratic 2025 1035 92
cubic 91125 16215 1367
quartic 4100625 194580 16284
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 11
quadratic 92 92 253
cubic 1367 1352 4048
quartic 16284 16284 48576

Number of independant internal coordinates 4

Literature




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