Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
48 0 0

can be reduced to

A1 A2 E
8 8 16

Substraction of translational and rotational contributions results in

A1 A2 E
8 6 14



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E
Infrared - + +
Raman + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 8
quadratic 1764 903 162
cubic 74088 13244 2234
quartic 3111696 148995 24970
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 A1 A2 E
linear 8 6 14
quadratic 162 139 301
cubic 2234 2190 4410
quartic 24970 24695 49665

Number of independant internal coordinates 8

Literature




Character tables for chemically important point groups Character table for point group D3 Jacobs University Bremen