Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
78 -2 8 8

can be reduced to

A1 A2 B1 B2
23 15 20 20

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
22 14 18 18



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 72 72 22
quadratic 5184 2628 700
cubic 373248 64824 16394
quartic 26873856 1215450 305034
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 22 14 18 18
quadratic 700 632 648 648
cubic 16394 16018 16206 16206
quartic 305034 303024 303696 303696

Number of independant internal coordinates 22

Literature




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