Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
36 -4 12 4

can be reduced to

A1 A2 B1 B2
12 4 12 8

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
11 3 10 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 30 30 11
quadratic 900 465 148
cubic 27000 4960 1368
quartic 810000 40920 10860
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 3 10 6
quadratic 148 93 128 96
cubic 1368 1096 1348 1148
quartic 10860 9676 10656 9728

Number of independant internal coordinates 11

Literature




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