Solute redistribution during crystallization at constant velocity and constant temperature

R. W. Hopper; D. R. Uhlmann

doi:10.1016/0022-0248(74)90006-2

Solute redistribution during crystallization at constant velocity and constant temperature

R. W. Hopper
, D. R. Uhlmann

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

15 Scopus citations

Abstract

An analysis is presented for the time-dependent solute redistribution which occurs during crystallization at constant velocity and constant temperature. The analysis is suggested to be applicable to many studies of crystallization in glass-forming systems, where solidification takes place at temperatures well above the solidus and where the solubility in the crystalline phase is quite limited. Appropriate for these situations, the usual condition of C_s = kC_L is replaced by the approximate condition of C_s = C_solidus. The results indicate a concentration of the liquid at the interface which is limited only by the liquidus composition, and not by a steady-state composition of C_O/k. Limitations of the present analysis for cases where the growth rate becomes concentration-dependent are discussed.

Original language	English (US)
Pages (from-to)	203-213
Number of pages	11
Journal	Journal of Crystal Growth
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/0022-0248(74)90006-2
State	Published - Feb 1974
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

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10.1016/0022-0248(74)90006-2

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@article{05d9ffbea7cb47fa9407100525e5307b,

title = "Solute redistribution during crystallization at constant velocity and constant temperature",

abstract = "An analysis is presented for the time-dependent solute redistribution which occurs during crystallization at constant velocity and constant temperature. The analysis is suggested to be applicable to many studies of crystallization in glass-forming systems, where solidification takes place at temperatures well above the solidus and where the solubility in the crystalline phase is quite limited. Appropriate for these situations, the usual condition of Cs = kCL is replaced by the approximate condition of Cs = Csolidus. The results indicate a concentration of the liquid at the interface which is limited only by the liquidus composition, and not by a steady-state composition of CO/k. Limitations of the present analysis for cases where the growth rate becomes concentration-dependent are discussed.",

author = "Hopper, \{R. W.\} and Uhlmann, \{D. R.\}",

note = "Funding Information: Financial support for the present work has been provided by the National Aeronautics and Space Administration. This support is gratefully acknowledged.",

year = "1974",

month = feb,

doi = "10.1016/0022-0248(74)90006-2",

language = "English (US)",

volume = "21",

pages = "203--213",

journal = "Journal of Crystal Growth",

issn = "0022-0248",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Solute redistribution during crystallization at constant velocity and constant temperature

AU - Hopper, R. W.

AU - Uhlmann, D. R.

N1 - Funding Information: Financial support for the present work has been provided by the National Aeronautics and Space Administration. This support is gratefully acknowledged.

PY - 1974/2

Y1 - 1974/2

N2 - An analysis is presented for the time-dependent solute redistribution which occurs during crystallization at constant velocity and constant temperature. The analysis is suggested to be applicable to many studies of crystallization in glass-forming systems, where solidification takes place at temperatures well above the solidus and where the solubility in the crystalline phase is quite limited. Appropriate for these situations, the usual condition of Cs = kCL is replaced by the approximate condition of Cs = Csolidus. The results indicate a concentration of the liquid at the interface which is limited only by the liquidus composition, and not by a steady-state composition of CO/k. Limitations of the present analysis for cases where the growth rate becomes concentration-dependent are discussed.

AB - An analysis is presented for the time-dependent solute redistribution which occurs during crystallization at constant velocity and constant temperature. The analysis is suggested to be applicable to many studies of crystallization in glass-forming systems, where solidification takes place at temperatures well above the solidus and where the solubility in the crystalline phase is quite limited. Appropriate for these situations, the usual condition of Cs = kCL is replaced by the approximate condition of Cs = Csolidus. The results indicate a concentration of the liquid at the interface which is limited only by the liquidus composition, and not by a steady-state composition of CO/k. Limitations of the present analysis for cases where the growth rate becomes concentration-dependent are discussed.

UR - https://www.scopus.com/pages/publications/0346946151

UR - https://www.scopus.com/pages/publications/0346946151#tab=citedBy

U2 - 10.1016/0022-0248(74)90006-2

DO - 10.1016/0022-0248(74)90006-2

M3 - Article

AN - SCOPUS:0346946151

SN - 0022-0248

VL - 21

SP - 203

EP - 213

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

IS - 2

ER -

Solute redistribution during crystallization at constant velocity and constant temperature

Abstract

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