Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
36 0 -4

can be reduced to

A1 A2 E
4 8 12

Substraction of translational and rotational contributions results in

A1 A2 E
4 6 10



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 30 30 4
quadratic 900 465 86
cubic 27000 4960 814
quartic 810000 40920 6896
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 4 6 10
quadratic 86 69 155
cubic 814 846 1650
quartic 6896 6744 13640

Number of independant internal coordinates 4

Literature




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