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Konstantin G. Seravkin, Konstantin A. Potekhin, Alexander M. Banaru
Lattice
tilings of a plane by polyominos and molecular layers in crystal structures.
Structural class cm, Z = 2(m)
Abstract
Abstract. Lattice partitions of
a plane into polyominoes were constructed for N from 3 to 12, where N
is the order of the packing space. We obtained 5191 symmetric independent
lattice partitions of a plane with one polyomino in a reduced (primitive) cell,
among which 122 variants belong to the structural class cm, Z = 2(m),
with the elementary conventional cell being rectangular (centered). Chain
partitions of planes have been derived, for which both structural class and
structural subclass were identified. The results of the analysis of lattice
partitions of a plane into polyominoes were illustrated with examples of real
molecular layers in crystal structures.
Key words: lattice partitions of a
plane into polyominoes, molecular layers, molecular chains, structural classes,
structural subclasses
Copyright (C) Chemistry Dept., Moscow State University, 2002
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