Reduction formula for point group C3

Your representation

E C3 (C3)2
252 0 0

can be reduced to

A E
84 84

Substraction of translational and rotational contributions results in

A E
82 82



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 246 246 82
quadratic 60516 30381 10127
cubic 14886936 2511496 837220
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 82 82
quadratic 10127 10127
cubic 837220 837138
quartic XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 82

Literature




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