Reduction formula for point group D2

Your representation

E C2 (z) C2 (y) C2 (x)
120 0 0 0

can be reduced to

A B1 B2 B3
30 30 30 30

Substraction of translational and rotational contributions results in

A B1 B2 B3
30 28 28 28



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 114 114 30
quadratic 12996 6555 1683
cubic 1481544 253460 63452
quartic 168896016 7413705 1854753
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 30 28 28 28
quadratic 1683 1624 1624 1624
cubic 63452 63336 63336 63336
quartic 1854753 1852984 1852984 1852984

Number of independant internal coordinates 30

Literature




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