Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
120 0 0

can be reduced to

A1 A2 E
20 20 40

Substraction of translational and rotational contributions results in

A1 A2 E
20 18 38



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 114 114 20
quadratic 12996 6555 1122
cubic 1481544 253460 42314
quartic 168896016 7413705 1236502
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 20 18 38
quadratic 1122 1063 2185
cubic 42314 42198 84474
quartic 1236502 1234733 2471235

Number of independant internal coordinates 20

Literature




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