Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
54 0 0 -2

can be reduced to

A B1 B2 B3
13 14 14 13

Substraction of translational and rotational contributions results in

A B1 B2 B3
13 12 12 11



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A B1 B2 B3
Infrared - + + +
Raman + + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 48 48 13
quadratic 2304 1176 313
cubic 110592 19600 4925
quartic 5308416 249900 62725
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 A B1 B2 B3
linear 13 12 12 11
quadratic 313 288 288 287
cubic 4925 4900 4900 4875
quartic 62725 62400 62400 62375

Number of independant internal coordinates 13

Literature




Character tables for chemically important point groups Character table for point group D2 Jacobs University Bremen