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Title: Systematic packing from the standpoint of the primitive cell
Authors: McGaw, Richard W.
Keywords: Systematic packing
Crystal structure
Snow compaction
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Research report (Cold Regions Research and Engineering Laboratory (U.S.)) ; 201.
Description: Research Report
Abstract: The systematic packing of uniform spheres is generalized by describing the primitive rhombohedral cell which characterizes the arrangement between layers. Volume and porosity are found in the equations to depend upon only two angular parameters, the angle between rows in a layer beta, and alpha the altitude angle between members of adjacent layers. An azimuth angle determines the position of the plane in which alpha is measured but does not enter into the porosity calculation. Four critical stacking arrangements are described, the porosity of which may be written as functions of the single parameter beta. The stable packings studied by Graton and Fraser (1935) are special cases of the critical positions. Typically unstable packings lie between these positions. Tables and graphs are presented which give the porosity of the primitive cell, as a function of alpha and beta, over the entire range from open to close packing for every possible layer configuration.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Research Report

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