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