Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
51 -1 -1 -1

can be reduced to

A B1 B2 B3
12 13 13 13

Substraction of translational and rotational contributions results in

A B1 B2 B3
12 11 11 11



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 45 45 12
quadratic 2025 1035 276
cubic 91125 16215 4071
quartic 4100625 194580 48852
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 11 11 11
quadratic 276 253 253 253
cubic 4071 4048 4048 4048
quartic 48852 48576 48576 48576

Number of independant internal coordinates 12

Literature




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