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Theory of the arrangement of cells in a network

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Theory of the arrangement of cells in a network. / Lambert, Colin; Weaire, D. L. .

In: Metallography, Vol. 14, No. 4, 12.1981, p. 307-318.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Lambert, C & Weaire, DL 1981, 'Theory of the arrangement of cells in a network', Metallography, vol. 14, no. 4, pp. 307-318. https://doi.org/10.1016/0026-0800(81)90003-3

APA

Lambert, C., & Weaire, D. L. (1981). Theory of the arrangement of cells in a network. Metallography, 14(4), 307-318. https://doi.org/10.1016/0026-0800(81)90003-3

Vancouver

Lambert C, Weaire DL. Theory of the arrangement of cells in a network. Metallography. 1981 Dec;14(4):307-318. doi: 10.1016/0026-0800(81)90003-3

Author

Lambert, Colin ; Weaire, D. L. . / Theory of the arrangement of cells in a network. In: Metallography. 1981 ; Vol. 14, No. 4. pp. 307-318.

Bibtex

@article{771f26a7438b4663b9fd57b744fb6556,
title = "Theory of the arrangement of cells in a network",
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.",
author = "Colin Lambert and Weaire, {D. L.}",
year = "1981",
month = dec,
doi = "10.1016/0026-0800(81)90003-3",
language = "English",
volume = "14",
pages = "307--318",
journal = "Metallography",
issn = "0026-0800",
publisher = "Elsevier BV",
number = "4",

}

RIS

TY - JOUR

T1 - Theory of the arrangement of cells in a network

AU - Lambert, Colin

AU - Weaire, D. L.

PY - 1981/12

Y1 - 1981/12

N2 - 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.

AB - 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.

U2 - 10.1016/0026-0800(81)90003-3

DO - 10.1016/0026-0800(81)90003-3

M3 - Journal article

VL - 14

SP - 307

EP - 318

JO - Metallography

JF - Metallography

SN - 0026-0800

IS - 4

ER -