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The order‐disorder transformation at supercooled melt/crystal transition regions of binary melts (II). The steady‐state solution
Author(s) -
Chistyakov Yu. D.,
Baikov Yu. A.,
Schneider H. G.,
Ruth V.
Publication year - 1985
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170200903
Subject(s) - supercooling , thermodynamics , crystallization , kinetic energy , binary number , kinetics , lattice (music) , crystal (programming language) , crystal structure , chemistry , materials science , crystallography , physics , classical mechanics , arithmetic , mathematics , computer science , acoustics , programming language
In a preceding paper a kinetic master equation has been derived describing the kinetics of atomic exchange processes that occur within the transition region separating a growing binary crystal and its nonsolid surrounding. For simple cubic structures, with the lattice sites being occupied by equal particle numbers of two components (in the case of perfect order corresponding to an NaCl‐type lattice) solutions for the steady‐state conditions have been derived. According to the solutions the long‐range order parameter is related to the atomic interaction energies, the arrival rate of particles at the crystal surface from the melt, and to temperature. A critical supercooling is predicted for the transition from a partly crdered structure to a disordered structure of the crystals growing from the melt. At the critical supercooling the temperature dependence of the crystallization rate reveals a characteristic change.