Unusually Dense Crystal Packings of Ellipsoids

作     者：Aleksandar Donev Frank H. Stillinger P. M. Chaikin Salvatore Torquato 

作者机构：Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA Materials Institute Princeton New Jersey 08544 USA Department of Chemistry Princeton University Princeton New Jersey 08544 USA Department of Physics Princeton University Princeton New Jersey 08544 USA 

出 版 物：《Physical Review Letters》 (Phys Rev Lett)

年 卷 期：2004年第92卷第25期

页      面：255506-255506页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Science Foundation, NSF, (0213706, DMS-0312067, DMS-0312067) National Aeronautics and Space Administration, NASA, (DMR-0213706, NAG3-1762, DMR 0243001) 

主　　题：.aspect ratios ellipsoids Spheroids Jersey USA densest lattice packing Crystal Packings Princeton New congruent maximal aspect 

摘      要：In this Letter, we report on the densest-known packings of congruent ellipsoids. The family of new packings consists of crystal arrangements of spheroids with a wide range of aspect ratios, and with density φ always surpassing that of the densest Bravais lattice packing φ≈0.7405. A remarkable maximum density of ϕ≈0.7707 is achieved for maximal aspect ratios larger than 3, when each ellipsoid has 14 touching neighbors. Our results are directly relevant to understanding the equilibrium behavior of systems of hard ellipsoids, and, in particular, the solid and glassy phases.