Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
72 0 0

can be reduced to

A1 A2 E
12 12 24

Substraction of translational and rotational contributions results in

A1 A2 E
12 10 22



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 66 66 12
quadratic 4356 2211 386
cubic 287496 50116 8394
quartic 18974736 864501 144398
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 12 10 22
quadratic 386 351 737
cubic 8394 8326 16698
quartic 144398 143769 288167

Number of independant internal coordinates 12

Literature




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