Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
15 0 0 -1

can be reduced to

A E T
1 1 4

Substraction of translational and rotational contributions results in

A E T
1 1 2



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 9 9 1
quadratic 81 45 5
cubic 729 165 17
quartic 6561 495 45
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 2
quadratic 5 5 10
cubic 17 14 40
quartic 45 45 120

Number of independant internal coordinates 1

Literature




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