Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
60 0 0 0

can be reduced to

A B1 B2 B3
15 15 15 15

Substraction of translational and rotational contributions results in

A B1 B2 B3
15 13 13 13



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 54 54 15
quadratic 2916 1485 393
cubic 157464 27720 6972
quartic 8503056 395010 99078
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 15 13 13 13
quadratic 393 364 364 364
cubic 6972 6916 6916 6916
quartic 99078 98644 98644 98644

Number of independant internal coordinates 15

Literature




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