Reduction formula for point group C3

Your representation

E C3 (C3)2
180 0 0

can be reduced to

A E
60 60

Substraction of translational and rotational contributions results in

A E
58 58



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 174 174 58
quadratic 30276 15225 5075
cubic 5268024 893200 297772
quartic 916636176 39524100 13174700
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 58 58
quadratic 5075 5075
cubic 297772 297714
quartic 13174700 13174700

Number of independant internal coordinates 58

Literature




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