Abstract

The packing bed of monodisperse spheres is modelled by a tree of face-to-face regular tetrahedra which vertices are the location of the bead’s centres. A packing fraction of 0.433 is obtained when this cluster of spheres occupies the maximum space available, without pores large enough to accommodate a new sphere. This value and other structure descriptors—coordination numbers and local packing fraction distributions—are compared with experimental or numerical simulations observations of beds of monodisperse spheres built with different protocols and with capillary or Van-der-Waals forces.

Graphical abstract

中文翻译：

---

基于面对面正四面体树的单分散球体模型堆积

摘要

单分散球体的填充床由面对面的正四面体树建模，其顶点是珠子中心的位置。当这组球体占据最大可用空间且没有大到足以容纳新球体的孔隙时，获得 0.433 的填充分数。将该值和其他结构描述符（配位数和局部填充分数分布）与使用不同协议和毛细管力或范德华力构建的单分散球床的实验或数值模拟观察结果进行比较。

图形概要