Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
18 0 -2

can be reduced to

A1 A2 E
2 4 6

Substraction of translational and rotational contributions results in

A1 A2 E
2 2 4



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 12 12 2
quadratic 144 78 16
cubic 1728 364 62
quartic 20736 1365 238
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 2 2 4
quadratic 16 10 26
cubic 62 62 120
quartic 238 217 455

Number of independant internal coordinates 2

Literature




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