Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
180 0 0 0

can be reduced to

A E T
15 15 45

Substraction of translational and rotational contributions results in

A E T
15 15 43



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 174 174 15
quadratic 30276 15225 1291
cubic 5268024 893200 74516
quartic 916636176 39524100 3294676
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 15 15 43
quadratic 1291 1291 3784
cubic 74516 74458 223256
quartic 3294676 3294676 9880024

Number of independant internal coordinates 15

Literature




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