A later paper will discuss applications of these rules. Only single group (no spin-orbit or time-reversal effects) rules are given, although the same method will yield rules for the double groups. The source for all versions is available through repositories, which include the full history of commits and tags for each version. The reduction is given of symmetrized Kronecker squares and cubes of Γ ( m ), X ( m ) *, L ( m ) *, Λ ( m ) *, Δ ( m ) *, W ( m ) *, Σ ( m ) * and Z ( m ) *. The methods are applied here to the diamond and zinc-blende space groups. These methods can be applied to the reduction of the ordinary Kronecker products, and the symmetrized Kronecker powers, of the full space group irreducible representations of any space group. The latter stage is accomplished by using the "reduction group," or by "direct inspection," depending on convenience.
The reduction proceeds in two stages: First, wave vector selection rules are obtained when the direct product of two stars is decomposed into a direct sum of stars finally, the species of irreducible representations occurring for each star in the sum is found. General methods for the reduction of direct products of space-group irreducible representations are discussed, based on the use of full irreducible representations of the space group. Diagnose-Interface an eine cifX-Karte mit AIFX-Anschluss (Kennung '³') anschließen zu können, müssen am Gehäuse des PCs bzw.
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