Dense crystalline packings of ellipsoids

Weiwei Jin, Yang Jiao, Lufeng Liu, Ye Yuan, Shuixiang Li

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An ellipsoid, the simplest nonspherical shape, has been extensively used as a model for elongated building blocks for a wide spectrum of molecular, colloidal, and granular systems. Yet the densest packing of congruent hard ellipsoids, which is intimately related to the high-density phase of many condensed matter systems, is still an open problem. We discover an unusual family of dense crystalline packings of self-dual ellipsoids (ratios of the semiaxes α:α:1), containing 24 particles with a quasi-square-triangular (SQ-TR) tiling arrangement in the fundamental cell. The associated packing density φ exceeds that of the densest known SM2 crystal [A. Donev, Phys. Rev. Lett. 92, 255506 (2004)10.1103/PhysRevLett.92.255506] for aspect ratios α in (1.365, 1.5625), attaining a maximal φ≈0.75806... at α=93/64. We show that the SQ-TR phase derived from these dense packings is thermodynamically stable at high densities over the aforementioned α range and report a phase diagram for self-dual ellipsoids. The discovery of the SQ-TR crystal suggests organizing principles for nonspherical particles and self-assembly of colloidal systems.

Original languageEnglish (US)
Article number033003
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume95
Issue number3
DOIs
StatePublished - Mar 22 2017

Fingerprint

Ellipsoid
ellipsoids
Packing
Triangular
Crystal
packing density
Self-assembly
organizing
Congruent
Tiling
Aspect Ratio
Building Blocks
Phase Diagram
crystals
self assembly
aspect ratio
Open Problems
Arrangement
Exceed
phase diagrams

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Dense crystalline packings of ellipsoids. / Jin, Weiwei; Jiao, Yang; Liu, Lufeng; Yuan, Ye; Li, Shuixiang.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 95, No. 3, 033003, 22.03.2017.

Research output: Contribution to journalArticle

Jin, Weiwei ; Jiao, Yang ; Liu, Lufeng ; Yuan, Ye ; Li, Shuixiang. / Dense crystalline packings of ellipsoids. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2017 ; Vol. 95, No. 3.
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