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Theory of the arrangement of cells in a network

Research output: Contribution to journalJournal article


Journal publication date12/1981
Journal number4
Number of pages12
Original languageEnglish


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.