Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
24 -2 4 6

can be reduced to

A1 A2 B1 B2
8 3 6 7

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
7 2 4 5



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 18 18 7
quadratic 324 171 56
cubic 5832 1140 320
quartic 104976 5985 1609
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 7 2 4 5
quadratic 56 34 38 43
cubic 320 250 274 296
quartic 1609 1406 1450 1520

Number of independant internal coordinates 7

Literature




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