Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
24 0 0 0

can be reduced to

A B1 B2 B3
6 6 6 6

Substraction of translational and rotational contributions results in

A B1 B2 B3
6 4 4 4



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 18 18 6
quadratic 324 171 51
cubic 5832 1140 300
quartic 104976 5985 1545
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 6 4 4 4
quadratic 51 40 40 40
cubic 300 280 280 280
quartic 1545 1480 1480 1480

Number of independant internal coordinates 6

Literature




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