Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
72 0 0 0

can be reduced to

A B1 B2 B3
18 18 18 18

Substraction of translational and rotational contributions results in

A B1 B2 B3
18 16 16 16



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 66 66 18
quadratic 4356 2211 579
cubic 287496 50116 12580
quartic 18974736 864501 216597
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 18 16 16 16
quadratic 579 544 544 544
cubic 12580 12512 12512 12512
quartic 216597 215968 215968 215968

Number of independant internal coordinates 18

Literature




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