Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
42 -2 14 2

can be reduced to

A1 A2 B1 B2
14 6 14 8

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
13 5 12 6



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 36 36 13
quadratic 1296 666 205
cubic 46656 8436 2297
quartic 1679616 82251 21558
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 5 12 6
quadratic 205 137 186 138
cubic 2297 1921 2278 1940
quartic 21558 19653 21368 19672

Number of independant internal coordinates 13

Literature




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