Reduction formula for point group C3

Your representation

E C3 (C3)2
57 0 0

can be reduced to

A E
19 19

Substraction of translational and rotational contributions results in

A E
17 17



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 51 51 17
quadratic 2601 1326 442
cubic 132651 23426 7820
quartic 6765201 316251 105417
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 17 17
quadratic 442 442
cubic 7820 7803
quartic 105417 105417

Number of independant internal coordinates 17

Literature




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