Ho-Kei Chan, Densest Columnar Structures of Hard Spheres from Sequential Deposition, Physical Review E - Rapid Communication, 84, 5, 2011, 050302-1 - 050302-4
Physical Review E - Rapid Communication;84, 5
The rich variety of densest columnar structures of identical hard spheres inside a cylinder can surprisingly be constructed from a simple and computationally fast sequential deposition of cylinder-touching spheres, if the cylinder-to-sphere diameter ratio D is within [1,2.7013]. This provides a direction for theoretically deriving all these densest structures and for constructing such densest packings with nano-, micro-, colloidal or charged particles, which all self-assemble like hard spheres.
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