Finite-size effects on the closest packing of hard spheres

被引:165
作者
Neser, S [1 ]
Bechinger, C [1 ]
Leiderer, P [1 ]
Palberg, T [1 ]
机构
[1] UNIV MAINZ, INST PHYS, D-55099 MAINZ, GERMANY
关键词
D O I
10.1103/PhysRevLett.79.2348
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study closely packed crystalline structures formed by slow lateral compression of a colloidal suspension of hard spheres in a thin wedge. In addition to the known sequence of structural transitions, a buckling mechanism was recently proposed to maximize the packing fraction Phi between one and two layers. We here confirm this prediction experimentally and present the first evidence that for more than two layers, buckling, in this case of prism shaped arrays of particles, also takes place. This efficient mechanism may enhance Phi by up to 4% and dominates in major regions of the phase diagram.
引用
收藏
页码:2348 / 2351
页数:4
相关论文
共 20 条
[1]   3-DIMENSIONAL APOLLONIAN PACKING AS A MODEL FOR DENSE GRANULAR SYSTEMS [J].
ANISHCHIK, SV ;
MEDVEDEV, NN .
PHYSICAL REVIEW LETTERS, 1995, 75 (23) :4314-4317
[2]  
[Anonymous], INT J MATH
[3]  
BOERDIJK AH, 1952, PHILIPS RES REP, V7, P303
[4]   BUCKLING INSTABILITIES OF A CONFINED COLLOID CRYSTAL LAYER [J].
CHOU, T ;
NELSON, DR .
PHYSICAL REVIEW E, 1993, 48 (06) :4611-4621
[5]  
Conway J. H., 1993, SPHERE PACKINGS LATT
[6]   Methods of digital video microscopy for colloidal studies [J].
Crocker, JC ;
Grier, DG .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1996, 179 (01) :298-310
[7]  
Gauss Carl Friedrich, 1876, Werke, VII
[8]  
Gray W.A., 1968, PACKING SOLID PARTIC
[9]   A REJOINDER TO HALESS ARTICLE [J].
HSIANG, WY .
MATHEMATICAL INTELLIGENCER, 1995, 17 (01) :35-42
[10]  
Kepler J., 1611, STRENA SEU NIVE SEXA