A model packing based on a tree of face-to-face regular tetrahedra for monodisperse spheres
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 descriptorscoordination 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.
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