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Theory of the arrangement of cells in a network

Lambert, Colin and Weaire, D. L. (1981) Theory of the arrangement of cells in a network. Metallography, 14 (4). pp. 307-318. ISSN 0026-0800

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Abstract

A general analysis of the statistics of a random network of threefold vertices is presented. It is demonstrated that Aboav's empirical formula for the number of sides mn on the neighbors of n-sided cells in a polycrystal is consistent with the conjecture that the cells are arranged randomly. Specific models for the development of a random network of cells are investigated and are found to obey relations consistent with Aboav's general formula.

Item Type: Article
Journal or Publication Title: Metallography
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 58051
Deposited By: ep_importer_pure
Deposited On: 22 Oct 2012 10:17
Refereed?: Yes
Published?: Published
Last Modified: 10 Apr 2014 00:06
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/58051

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