Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 51, No. 2, pp. 337-344 (2010)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 2, pp. 337-344 (2010) |
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Dense binary sphere packingsGavin W. Marshall and Toby S. HudsonSchool of Chemistry, University of Sydney, NSW 2006, Australia, t.hudson@chem.usyd.edu.auAbstract: Packings in 3-dimensional space were constructed of hard spheres of two radii, $ r_A > r_B $. Previous studies have shown that a packing density higher than that possible for equal sized spheres ($\delta^3=\pi / \sqrt{18}$), can be achieved for much of the range $0 < r_A/r_B \leq 0.623 \ldots$. This paper completes the range such that there is no $r_A/r_B \leq 0.623 \ldots$ for which the packing density cannot exceed that of optimally packed equal spheres. Keywords: packing density, unequal spheres, crystal structure, sphere packing Classification (MSC2000): 52C07, 52C17 Full text of the article (for subscribers):
Electronic version published on: 24 Jun 2010. This page was last modified: 8 Sep 2010.
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