Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
324 0 24 12

can be reduced to

A1 A2 B1 B2
90 72 84 78

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
89 71 82 76



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 89
quadratic 101124 50721 12890
cubic 32157432 5410240 1354722
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 89 71 82 76
quadratic 12890 12551 12694 12586
cubic 1354722 1350558 1353462 1351498
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 89

Literature




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