Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
36 0 0 0

can be reduced to

A B1 B2 B3
9 9 9 9

Substraction of translational and rotational contributions results in

A B1 B2 B3
9 7 7 7



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 30 30 9
quadratic 900 465 129
cubic 27000 4960 1264
quartic 810000 40920 10344
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 9 7 7 7
quadratic 129 112 112 112
cubic 1264 1232 1232 1232
quartic 10344 10192 10192 10192

Number of independant internal coordinates 9

Literature




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