@article {16908,
	title = {Dense crystalline packings of ellipsoids},
	journal = {Physical Review E},
	volume = {95},
	year = {2017},
	pages = {033003},
	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\&nbsp;α:√α:1), containing 24 particles with a quasi-square-triangular (SQ-TR) tiling arrangement in the fundamental cell. The associated packing density\&nbsp;ϕ\&nbsp;exceeds that of the densest known SM2 crystal [ A. Donev\&nbsp;et al.,\&nbsp;Phys. Rev. Lett.\&nbsp;92, 255506 (2004)] for aspect ratios α in (1.365, 1.5625), attaining a maximal\&nbsp;ϕ≈0.75806...\&nbsp;at\&nbsp;α=93/64. We show that the SQ-TR phase derived from these dense packings is thermodynamically stable at high densities over the aforementioned\&nbsp;α\&nbsp;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.},
	url = {https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.033003},
	author = {Weiwei Jin and Yang Jiao and Lufeng Liu and Ye Yuan and Shuixiang Li}
}
