Reduction formula for point group Td

Your representation

E 8C3 3C2 6S4 6d
66 0 -2 0 6

can be reduced to

A1 A2 E T1 T2
4 1 5 7 10

Substraction of translational and rotational contributions results in

A1 A2 E T1 T2
4 1 5 6 9



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 60 60 4
quadratic 3600 1830 92
cubic 216000 37820 1637
quartic 12960000 595665 25149
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 4 1 5 6 9
quadratic 92 68 160 213 237
cubic 1637 1528 3145 4673 4782
quartic 25149 24606 49755 74136 74664

Number of independant internal coordinates 4

Literature




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