Theory of spherulitic crystallization

Nigel Goldenfeld

doi:10.1016/0022-0248(87)90051-0

Theory of spherulitic crystallization

Nigel Goldenfeld

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

I show that diffusion-controlled growth can account for the occurrence of spherulites, their small-angle non-crystallographic branching, and the linear form of their radial growth rate. The characteristic dimension of the large-scale morphology is predicted to scale with √δ, where δ is the diffusion length. These results provide quantitative support for the mechanism of spherulitic growth proposed by Keith and Padden.

Original language	English (US)
Pages (from-to)	601-608
Number of pages	8
Journal	Journal of Crystal Growth
Volume	84
Issue number	4
DOIs	https://doi.org/10.1016/0022-0248(87)90051-0
State	Published - Oct 1987

ASJC Scopus subject areas

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

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10.1016/0022-0248(87)90051-0

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title = "Theory of spherulitic crystallization",

abstract = "I show that diffusion-controlled growth can account for the occurrence of spherulites, their small-angle non-crystallographic branching, and the linear form of their radial growth rate. The characteristic dimension of the large-scale morphology is predicted to scale with √δ, where δ is the diffusion length. These results provide quantitative support for the mechanism of spherulitic growth proposed by Keith and Padden.",

author = "Nigel Goldenfeld",

note = "Funding Information: I thank Doug Keith and Frank Padden, Jr. for their kind donation of fig. 1, prior to publication, and for their encouragement. I also thank Doug Keith for his helpful comments on an earlier version of the manuscript. I wish to thank my collaborators on refs. \[4\]and \[11\],especially Eshel Ben-Jacob, Peter Gank and Tom Mueller, for fig. 2. I am grateful to Fong Liu for checking the calculations, and thank Richard Wool for his interest in this work. This research was supported by NSF under grant numbers DMR-83-16981 and DMR-84-05355.",

year = "1987",

month = oct,

doi = "10.1016/0022-0248(87)90051-0",

language = "English (US)",

volume = "84",

pages = "601--608",

journal = "Journal of Crystal Growth",

issn = "0022-0248",

publisher = "Elsevier B.V.",

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AU - Goldenfeld, Nigel

N1 - Funding Information: I thank Doug Keith and Frank Padden, Jr. for their kind donation of fig. 1, prior to publication, and for their encouragement. I also thank Doug Keith for his helpful comments on an earlier version of the manuscript. I wish to thank my collaborators on refs. \[4\]and \[11\],especially Eshel Ben-Jacob, Peter Gank and Tom Mueller, for fig. 2. I am grateful to Fong Liu for checking the calculations, and thank Richard Wool for his interest in this work. This research was supported by NSF under grant numbers DMR-83-16981 and DMR-84-05355.

PY - 1987/10

Y1 - 1987/10

N2 - I show that diffusion-controlled growth can account for the occurrence of spherulites, their small-angle non-crystallographic branching, and the linear form of their radial growth rate. The characteristic dimension of the large-scale morphology is predicted to scale with √δ, where δ is the diffusion length. These results provide quantitative support for the mechanism of spherulitic growth proposed by Keith and Padden.

AB - I show that diffusion-controlled growth can account for the occurrence of spherulites, their small-angle non-crystallographic branching, and the linear form of their radial growth rate. The characteristic dimension of the large-scale morphology is predicted to scale with √δ, where δ is the diffusion length. These results provide quantitative support for the mechanism of spherulitic growth proposed by Keith and Padden.

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Theory of spherulitic crystallization

Abstract

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