4/30/2023 0 Comments Blende![]() ![]() 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.
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