Reduction formula for point group C3

Your representation

E C3 (C3)2
51 0 0

can be reduced to

A E
17 17

Substraction of translational and rotational contributions results in

A E
15 15



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 45 45 15
quadratic 2025 1035 345
cubic 91125 16215 5415
quartic 4100625 194580 64860
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 15 15
quadratic 345 345
cubic 5415 5400
quartic 64860 64860

Number of independant internal coordinates 15

Literature




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