Reduction formula for point group D2d

Your representation

E 2S4 C2 (z) 2C'2 2d
15 -1 -1 1 5

can be reduced to

A1 A2 B1 B2 E
3 0 1 3 4



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 B1 B2 E
Infrared - - - + +
Raman + - + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 15 15 3
quadratic 225 120 23
cubic 3375 680 101
quartic 50625 3060 437
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 B1 B2 E
linear 3 0 1 3 4
quadratic 23 9 13 19 28
cubic 101 67 71 97 172
quartic 437 339 355 417 756

Number of independant internal coordinates 3

Literature




Character tables for chemically important point groups Character table for point group D2d Jacobs University Bremen