Reduction formula for point group Td

Your representation

E 8C3 3C2 6S4 6d
51 0 -1 -1 5

can be reduced to

A1 A2 E T1 T2
3 1 4 5 8

Substraction of translational and rotational contributions results in

A1 A2 E T1 T2
3 1 4 4 7



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 45 45 3
quadratic 2025 1035 55
cubic 91125 16215 717
quartic 4100625 194580 8290
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 3 1 4 4 7
quadratic 55 37 92 118 135
cubic 717 650 1352 1990 2058
quartic 8290 7994 16284 24146 24430

Number of independant internal coordinates 3

Literature




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