Reduction formula for point group T

Your representation

E 4C3 4(C3)2 3C2
252 0 0 0

can be reduced to

A E T
21 21 63

Substraction of translational and rotational contributions results in

A E T
21 21 61



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 246 246 21
quadratic 60516 30381 2563
cubic 14886936 2511496 209408
quartic XXX*XXX*XXX*
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 21 21 61
quadratic 2563 2563 7564
cubic 209408 209326 627812
quartic XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 21

Literature




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