Model of nucleation and growth of crystals in cooling magmas

研究成果: ジャーナルへの寄稿記事

38 引用 (Scopus)

抄録

The nucleation and growth of liquidus phases in cooling magmas at constant rates are modeled taking into account homogeneous nucleation, diffusion-limited growth, and depletion of crystallizing component from melt, and the temperature-dependent diffusivity. The formulation of governing equations shows that four dimensionless parameters, whose physical meanings are the nucleation difficulty, the fusion enthalpy, the ratio of the growth rate to the cooling rate, and the activation energy of diffusion, control the crystallization phenomena. The nucleation behavior with time (or temperature) is determined primarily by the competition between increasing nucleation rate with cooling and the reduced supersaturation with depletion by progressive growth of crystals previously nucleated. The maximum nucleation rate and the number density of crystals increase with decreasing interfacial tension and diffusivity, and with increasing fusion enthalpy and cooling rate. Quantitative expressions of the time or temperature interval for which the nucleation remains appreciable, the peak nucleation rate, the number density of crystals and the mean crystal radius are derived as functions of controlling parameters, and can be used to estimate the cooling rate or other unknown parameters from the number density of crystals of a rock.

元の言語英語
ページ(範囲)106-117
ページ数12
ジャーナルContributions to Mineralogy and Petrology
108
発行部数1-2
DOI
出版物ステータス出版済み - 7 1 1991

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Crystallization
nucleation
Nucleation
crystal
Cooling
cooling
crystals
Crystals
enthalpy
diffusivity
Enthalpy
depletion
Fusion reactions
fusion
temperature
Supersaturation
liquidus
supersaturation
rate
activation energy

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Geochemistry and Petrology

これを引用

Model of nucleation and growth of crystals in cooling magmas. / Toramaru, Atsushi.

:: Contributions to Mineralogy and Petrology, 巻 108, 番号 1-2, 01.07.1991, p. 106-117.

研究成果: ジャーナルへの寄稿記事

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