On colored lattices and lattice preservation

M. Rolley-Le Coz, Marjorie Senechal, Yves Billiet · Acta Crystallographica Section A Foundations of Crystallography · 1983

Two questions which have been independently studied (the distribution of colors in colored lattices and lattice preservation in derivative lattices) are in fact closely related. It is possible, for instance, to determine the distribution of colors in rows and nets by the lattice-preservation indices cr and cp as functions of row indices [u0, v0, W0] and net indices (h0, k0, l0), respectively. A formula is also given for the number of classes of equivalent derivative lattices of a given index n.

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