Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
120 0 0 0

can be reduced to

A E T
10 10 30

Substraction of translational and rotational contributions results in

A E T
10 10 28



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 114 114 10
quadratic 12996 6555 561
cubic 1481544 253460 21176
quartic 168896016 7413705 618251
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 10 10 28
quadratic 561 561 1624
cubic 21176 21138 63336
quartic 618251 618251 1852984

Number of independant internal coordinates 10

Literature




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