Dense Packings of Hard Spheres

  • J. Villain
  • K. Y. Szeto
  • B. Minchau
  • W. Renz
Part of the Springer Proceedings in Physics book series (SPPHY, volume 27)


In this contribution we investigate some properties of densely packed hard spheres. In the first section we define what we call hard spheres and what we call densely packed (the packing should be locally dense, in contrast to a fee lattice for instance). In the second section the case of identical spheres is recalled. The next three sections are devoted to mixtures of two different species. The two-dimensional theory is given in Section 3, and applied to quasi—crystals in Section 4. The three-dimensional case is treated in Section 5.


Dense Packing Hard Sphere Hard Core Triangular Lattice Regular Tetrahedron 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • J. Villain
    • 1
  • K. Y. Szeto
    • 1
  • B. Minchau
    • 1
  • W. Renz
    • 1
  1. 1.Institut für Festkörperforschung der Kernforschungsanlage JülichJülichFed. Rep. of Germany

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