Reduction formula for point group Td

Your representation

E 8C3 3C2 6S4 6d
6 0 2 0 2

can be reduced to

A1 A2 E T1 T2
1 0 1 0 1



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E T1 T2
Infrared - - - - +
Raman + - + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 6 6 1
quadratic 36 21 3
cubic 216 56 6
quartic 1296 126 11
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 A1 A2 E T1 T2
linear 1 0 1 0 1
quadratic 3 0 3 1 3
cubic 6 2 6 4 8
quartic 11 3 14 11 17

Number of independant internal coordinates 1

Literature




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