Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
60 0 0 0

can be reduced to

A E T
5 5 15

Substraction of translational and rotational contributions results in

A E T
5 5 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 54 54 5
quadratic 2916 1485 131
cubic 157464 27720 2336
quartic 8503056 395010 33026
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 13
quadratic 131 131 364
cubic 2336 2318 6916
quartic 33026 33026 98644

Number of independant internal coordinates 5

Literature




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