Reduction formula for point group C2v

Your representation

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

can be reduced to

A1 A2 B1 B2
7 4 7 6

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
6 3 5 4



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 6
quadratic 324 171 52
cubic 5832 1140 302
quartic 104976 5985 1557
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 6 3 5 4
quadratic 52 38 42 39
cubic 302 268 292 278
quartic 1557 1458 1502 1468

Number of independant internal coordinates 6

Literature




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