Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
51 -1 5 5

can be reduced to

A1 A2 B1 B2
15 10 13 13

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
14 9 11 11



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 45 45 14
quadratic 2025 1035 282
cubic 91125 16215 4127
quartic 4100625 194580 49004
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 14 9 11 11
quadratic 282 247 253 253
cubic 4127 3992 4048 4048
quartic 49004 48424 48576 48576

Number of independant internal coordinates 14

Literature




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