Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
66 0 6

can be reduced to

A1 A2 E
14 8 22

Substraction of translational and rotational contributions results in

A1 A2 E
13 7 20



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 60 60 13
quadratic 3600 1830 329
cubic 216000 37820 6419
quartic 12960000 595665 99813
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 13 7 20
quadratic 329 281 610
cubic 6419 6201 12600
quartic 99813 98742 198555

Number of independant internal coordinates 13

Literature




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