Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 2, pp. 337344 (2010) 

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 3dimensional 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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