Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
6 0 2

can be reduced to

A1 A2 E
2 0 2



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E
Infrared + - +
Raman + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 6 6 2
quadratic 36 21 6
cubic 216 56 14
quartic 1296 126 28
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 A1 A2 E
linear 2 0 2
quadratic 6 1 7
cubic 14 6 18
quartic 28 14 42

Number of independant internal coordinates 2

Literature




Character tables for chemically important point groups Character table for point group C3v Jacobs University Bremen