Reduction formula for point group D2d

Your representation

E 2S4 C2 (z) 2C'2 2d
78 0 -2 -2 8

can be reduced to

A1 A2 B1 B2 E
11 8 7 12 20

Substraction of translational and rotational contributions results in

A1 A2 B1 B2 E
11 7 7 11 18



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 72 72 11
quadratic 5184 2628 359
cubic 373248 64824 8197
quartic 26873856 1215450 152688
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 11 7 7 11 18
quadratic 359 307 325 341 648
cubic 8197 8009 8009 8197 16206
quartic 152688 151350 151674 152346 303696

Number of independant internal coordinates 11

Literature




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