Delone lattice studies in C3, the space of three complex variables

The Delone (Selling) scalars, which are used in unit-cell reduction and in lattice-type determination, are studied in C3, the space of three complex variables. The three complex coordinate planes are composed of the six Delone scalars. The transformations at boundaries of the Selling-reduced orthant are described as matrices of operators. A graphical representation as the projections onto the three coordinates is described. Note, in his later publications, Boris Delaunay used the Russian version of his surname, Delone.
Source: Acta Crystallographica Section A - Category: Chemistry Authors: Tags: lattices Delone Delaunay cell reduction Selling C3 space research papers Source Type: research