Reduction formula for point group C3

Your representation

E C3 (C3)2
324 0 0

can be reduced to

A E
108 108

Substraction of translational and rotational contributions results in

A E
106 106



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A E
Infrared + +
Raman + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 318 318 106
quadratic 101124 50721 16907
cubic 32157432 5410240 1803484
quartic XXX*XXX*XXX*
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 A E
linear 106 106
quadratic 16907 16907
cubic 1803484 1803378
quartic XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 106

Literature




Character tables for chemically important point groups Character table for point group C3 Jacobs University Bremen