Unusually dense crystal packings of ellipsoids

Aleksandar Donev; Frank H. Stillinger; P. M. Chaikin; Salvatore Torquato

doi:10.1103/PhysRevLett.92.255506

Unusually dense crystal packings of ellipsoids

Aleksandar Donev, Frank H. Stillinger, P. M. Chaikin, Salvatore Torquato

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274 Scopus citations

Abstract

The densest-known packings of congruent ellipsoids was reported. It was observed that in two dimensions, the densest packing of congruent ellipses has the same density as the densest packing of circles. Non-equilibrium random close packings of ellipsoids, which represents the maximally random jammed (MRJ) state was generated by using molecular dynamics technique. It was shown that the density of crystal packing increases as aspherity is introduced, unlike for random packings where a cusplike increase is observed near α=1.

Original language	English (US)
Article number	255506
Pages (from-to)	255506-1-255506-4
Journal	Physical review letters
Volume	92
Issue number	25 I
DOIs	https://doi.org/10.1103/PhysRevLett.92.255506
State	Published - Jun 25 2004

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.92.255506

Cite this

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title = "Unusually dense crystal packings of ellipsoids",

abstract = "The densest-known packings of congruent ellipsoids was reported. It was observed that in two dimensions, the densest packing of congruent ellipses has the same density as the densest packing of circles. Non-equilibrium random close packings of ellipsoids, which represents the maximally random jammed (MRJ) state was generated by using molecular dynamics technique. It was shown that the density of crystal packing increases as aspherity is introduced, unlike for random packings where a cusplike increase is observed near α=1.",

author = "Aleksandar Donev and Stillinger, {Frank H.} and Chaikin, {P. M.} and Salvatore Torquato",

note = "Funding Information: The authors would like to thank Robert Connelly for helpful discussions on packing problems. S. T., A. D., and F. H. S. were supported in part by the PRF under Grant No. 36967-AC9, and by the NSF under Grants No. DMR-0213706 and No. DMS-0312067. P. M. C. was partially supported by NASA under Grant No. NAG3-1762 ?>and NSF under Grants No. DMR 0243001 and No. DMR0213706.",

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AU - Stillinger, Frank H.

AU - Chaikin, P. M.

AU - Torquato, Salvatore

N1 - Funding Information: The authors would like to thank Robert Connelly for helpful discussions on packing problems. S. T., A. D., and F. H. S. were supported in part by the PRF under Grant No. 36967-AC9, and by the NSF under Grants No. DMR-0213706 and No. DMS-0312067. P. M. C. was partially supported by NASA under Grant No. NAG3-1762 ?>and NSF under Grants No. DMR 0243001 and No. DMR0213706.

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N2 - The densest-known packings of congruent ellipsoids was reported. It was observed that in two dimensions, the densest packing of congruent ellipses has the same density as the densest packing of circles. Non-equilibrium random close packings of ellipsoids, which represents the maximally random jammed (MRJ) state was generated by using molecular dynamics technique. It was shown that the density of crystal packing increases as aspherity is introduced, unlike for random packings where a cusplike increase is observed near α=1.

AB - The densest-known packings of congruent ellipsoids was reported. It was observed that in two dimensions, the densest packing of congruent ellipses has the same density as the densest packing of circles. Non-equilibrium random close packings of ellipsoids, which represents the maximally random jammed (MRJ) state was generated by using molecular dynamics technique. It was shown that the density of crystal packing increases as aspherity is introduced, unlike for random packings where a cusplike increase is observed near α=1.

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Unusually dense crystal packings of ellipsoids

Abstract

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