DISTRIBUTION OF SPATIAL POLYHEDRA ON COORDINATION SPHERES IN A BCC LATTICE

In this paper we suggest a convenient algorithm of practical crystallo graphy to correlate the index of a coordination sphere to the set of t he filling polyhedra for simple cubic (s.c.) and body-centered cubic ( b.c.c.) lattices. Any coordination sphere may be represented as a comb ination of seven polyhedra. We introduce here the notion of coordinati on spheres with zero filling and derive a rule for going from the sphe re numbering obtained in this way to the traditional one.