Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
48 0 8

can be reduced to

A1 A2 E
12 4 16

Substraction of translational and rotational contributions results in

A1 A2 E
11 3 14



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 42 42 11
quadratic 1764 903 177
cubic 74088 13244 2340
quartic 3111696 148995 25380
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 11 3 14
quadratic 177 124 301
cubic 2340 2084 4410
quartic 25380 24285 49665

Number of independant internal coordinates 11

Literature




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