Toward the jamming threshold of sphere packings: Tunneled crystals

  title={Toward the jamming threshold of sphere packings: Tunneled crystals},
  author={Salvatore Torquato and Frank H. Stillinger},
  journal={Journal of Applied Physics},
We have discovered a family of three-dimensional crystal sphere packings that are strictly jammed (i.e., mechanically stable) and yet possess an anomalously low density. This family constitutes an uncountably infinite number of crystal packings that are subpackings of the densest crystal packings and are characterized by a high concentration of self-avoiding “tunnels” (chains of vacancies) that permeate the structures. The fundamental geometric characteristics of these tunneled crystals command… 

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