Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
48 0 0 8

can be reduced to

A1 A2 B1 B2
14 10 10 14

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
13 9 8 12



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 B1 B2
Infrared + - + +
Raman + + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 13
quadratic 1764 903 250
cubic 74088 13244 3386
quartic 3111696 148995 37649
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 B1 B2
linear 13 9 8 12
quadratic 250 213 212 228
cubic 3386 3258 3236 3364
quartic 37649 36986 36964 37396

Number of independant internal coordinates 13

Literature




Character tables for chemically important point groups Character table for point group C2v Jacobs University Bremen