Dense Crystalline Dimer Packings of Regular Tetrahedra

被引：88

作者：

Chen, Elizabeth R. ^{[2
]}

Engel, Michael ^{[1
]}

Glotzer, Sharon C. ^{[1
,3
]}

机构：

[1] Univ Michigan, Dept Chem Engn, Ann Arbor, MI 48109 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] Univ Michigan, Dept Mat Sci & Engn, Ann Arbor, MI 48109 USA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2010年 / 44卷 / 02期

基金：

美国国家科学基金会;

关键词：

Crystallography; Packing; Regular solid; Hilbert problem; NANOPARTICLES;

D O I：

10.1007/s00454-010-9273-0

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present the densest known packing of regular tetrahedra with density phi = 4000/4671 = 0.856341 .... Like the recently discovered packings of Kallus et al. and Torquato-Jiao, our packing is crystalline with a unit cell of four tetrahedra forming two triangular dipyramids (dimer clusters). We show that our packing has maximal density within a three-parameter family of dimer packings. Numerical compressions starting from random configurations suggest that the packing may be optimal at least for small cells with up to 16 tetrahedra and periodic boundaries.

引用

页码：253 / 280

页数：28

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