Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
324 0 24 8

can be reduced to

A1 A2 B1 B2
89 73 85 77

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
88 72 83 75



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 318 318 88
quadratic 101124 50721 12880
cubic 32157432 5410240 1354512
quartic XXX*XXX*XXX*
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 88 72 83 75
quadratic 12880 12561 12704 12576
cubic 1354512 1350768 1353672 1351288
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 88

Literature




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