SPHERE PACKINGS WITH 3 CONTACTS PER SPHERE AND THE PROBLEM OF THE LEAST DENSE SPHERE PACKING

被引：61
|
作者：
KOCH, E [1 ]
FISCHER, W [1 ]
机构：
[1] UNIV MARBURG,WISSENSCH ZENTRUM MAT WISSENSCH,D-35032 MARBURG,GERMANY
来源：
ZEITSCHRIFT FUR KRISTALLOGRAPHIE | 1995年 / 210卷 / 06期
关键词：
SPHERE PACKING; MINIMAL DENSITY; CONTACT NUMBER 3 IN SPHERE PACKINGS;
D O I：
10.1524/zkri.1995.210.6.407
中图分类号：
O7 [晶体学];
学科分类号：
0702 ; 070205 ; 0703 ; 080501 ;
摘要：
Two procedures to derive all types of sphere packings with three contacts per sphere are described. 52 such types have been found. They are characterized by their shortest meshs and related to Wells' three-connected nets, if possible. It is proved that there exists no sphere packing with contact number three and a density lower than 5.5%, i.e. the density of the Heesch-Laves packing.
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页码：407 / 414
页数：8
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