Reduction formula for point group C3

Your representation

E C3 (C3)2
36 0 0

can be reduced to

A E
12 12

Substraction of translational and rotational contributions results in

A E
10 10



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 30 30 10
quadratic 900 465 155
cubic 27000 4960 1660
quartic 810000 40920 13640
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 10 10
quadratic 155 155
cubic 1660 1650
quartic 13640 13640

Number of independant internal coordinates 10

Literature




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