Phase diagram and structural diversity of the densest binary sphere packings

Adam B. Hopkins, Yang Jiao, Frank H. Stillinger, Salvatore Torquato

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


The densest binary sphere packings have historically been very difficult to determine. The only rigorously known packings in the α-x plane of sphere radius ratio α and relative concentration x are at the Kepler limit α=1, where packings are monodisperse. Utilizing an implementation of the Torquato-Jiao sphere-packing algorithm, we present the most comprehensive determination to date of the phase diagram in (α,x) for the densest binary sphere packings. Unexpectedly, we find many distinct new densest packings.

Original languageEnglish (US)
Article number125501
JournalPhysical Review Letters
Issue number12
StatePublished - Sep 13 2011
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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