Reduction formula for point group Td

Your representation

E 8C3 3C2 6S4 6d
24 0 0 0 4

can be reduced to

A1 A2 E T1 T2
2 0 2 2 4

Substraction of translational and rotational contributions results in

A1 A2 E T1 T2
2 0 2 1 3



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 18 18 2
quadratic 324 171 13
cubic 5832 1140 64
quartic 104976 5985 292
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 2 0 2 1 3
quadratic 13 4 17 16 24
cubic 64 40 98 128 152
quartic 292 223 515 708 772

Number of independant internal coordinates 2

Literature




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