Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
36 0 4 4

can be reduced to

A1 A2 B1 B2
11 7 9 9

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
10 6 7 7



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 10
quadratic 900 465 132
cubic 27000 4960 1284
quartic 810000 40920 10396
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 10 6 7 7
quadratic 132 109 112 112
cubic 1284 1212 1232 1232
quartic 10396 10140 10192 10192

Number of independant internal coordinates 10

Literature




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