Aboav-Weaire's and Lewis' laws—A review

S.N. Chiu

doi:10.1016/1044-5803(94)00081-U

Aboav-Weaire's and Lewis' laws—A review

S.N. Chiu^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

74 Citations (Scopus)

Abstract

A brief review of Aboav's law (the relationship between the average number of edges of a randomly chosen neighboring cell of a typical n-cell and n) and Lewis' law (the relationship between the mean area of a typical n-cell and n) is presented. These two laws now play central roles in Rivier's maximum entropy theory of statistical crystallography. A discussion of the mathematical forms of these laws is our emphasis in this article.

Original language	English
Pages (from-to)	149-165
Number of pages	17
Journal	Materials Characterization
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/1044-5803(94)00081-U
Publication status	Published - Mar 1995

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title = "Aboav-Weaire's and Lewis' laws—A review",

abstract = "A brief review of Aboav's law (the relationship between the average number of edges of a randomly chosen neighboring cell of a typical n-cell and n) and Lewis' law (the relationship between the mean area of a typical n-cell and n) is presented. These two laws now play central roles in Rivier's maximum entropy theory of statistical crystallography. A discussion of the mathematical forms of these laws is our emphasis in this article.",

author = "S.N. Chiu",

note = "Funding information: Supported by a DAAD scholarship. DAAD, Postfach 200 404, D-53134 Bonn, Germany. Publisher copyright: Copyright {\textcopyright} 1995 Published by Elsevier Inc.",

year = "1995",

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AB - A brief review of Aboav's law (the relationship between the average number of edges of a randomly chosen neighboring cell of a typical n-cell and n) and Lewis' law (the relationship between the mean area of a typical n-cell and n) is presented. These two laws now play central roles in Rivier's maximum entropy theory of statistical crystallography. A discussion of the mathematical forms of these laws is our emphasis in this article.

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DO - 10.1016/1044-5803(94)00081-U

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JO - Materials Characterization

JF - Materials Characterization

IS - 2

ER -

Aboav-Weaire's and Lewis' laws—A review

Abstract

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