Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
36 0 12 0

can be reduced to

A1 A2 B1 B2
12 6 12 6

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
11 5 10 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 30 30 11
quadratic 900 465 146
cubic 27000 4960 1366
quartic 810000 40920 10826
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 11 5 10 4
quadratic 146 95 130 94
cubic 1366 1130 1350 1114
quartic 10826 9710 10690 9694

Number of independant internal coordinates 11

Literature




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