SPHERE PACKINGS AND SPACE-FILLING BY CONGRUENT SIMPLE POLYHEDRA

Authors
OKEEFFE M
Citation
M. Okeeffe, SPHERE PACKINGS AND SPACE-FILLING BY CONGRUENT SIMPLE POLYHEDRA, Acta crystallographica. Section A, Foundations of crystallography, 54, 1998, pp. 320-329
Citations number
33
Categorie Soggetti
Crystallography
Journal title
Acta crystallographica. Section A, Foundations of crystallography → ACNP
ISSN journal
01087673
Volume
54
Year of publication
1998
Part
3
Pages
320 - 329
Database
ISI
SICI code
0108-7673(1998)54:<320:SPASBC>2.0.ZU;2-V
Abstract
14-coordinated tetrahedral packings of symmetry-related spheres in whi ch all the holes are tetrahedral are described. The corresponding dual structures with vertices in the holes of the original structure form four connected nets that subdivide space into congruent simple polyhed ra. Six tetrahedrally packed sphere packings and seven polyhedron pack ings are described and coordinates of vertices given. Examples are giv en of packings of combinations of two or more of the space-filling pol yhedra.