Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
72 0 0 0

can be reduced to

A E T
6 6 18

Substraction of translational and rotational contributions results in

A E T
6 6 16



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 66 66 6
quadratic 4356 2211 193
cubic 287496 50116 4208
quartic 18974736 864501 72199
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 6 6 16
quadratic 193 193 544
cubic 4208 4186 12512
quartic 72199 72199 215968

Number of independant internal coordinates 6

Literature




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