Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
57 -3 -3 -3

can be reduced to

A B1 B2 B3
12 15 15 15

Substraction of translational and rotational contributions results in

A B1 B2 B3
12 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 51 51 12
quadratic 2601 1326 351
cubic 132651 23426 5837
quartic 6765201 316251 79326
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 12 13 13 13
quadratic 351 325 325 325
cubic 5837 5863 5863 5863
quartic 79326 78975 78975 78975

Number of independant internal coordinates 12

Literature




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