Classical nucleation theory in ordering alloys precipitating with L12 structure

Details Classical nucleation theory in ordering alloys precipitating with L12 structure Classical nucleation theory in ordering alloys precipitating with L12 structure

2007-04-16

arxiv.org/abs/0704.1988v1

Physical Review B 75, 13 (12/04/2007) 132102

Physics

Condensed Matter

Materials Science

Scientific paper

10.1103/PhysRevB.75.132102

By means of low-temperature expansions (LTEs), the nucleation free energy and the precipitate interface free energy are expressed as functions of the solubility limit for alloys which lead to the precipitation of a stoichiometric L12 compound such as Al-Sc or Al-Zr alloys. Classical nucleation theory is then used to obtain a simple expression of the nucleation rate whose validity is demonstrated by a comparison with atomic simulations. LTEs also explain why simple mean-field approximation like the Bragg-Williams approximation fails to predict correct nucleation rates in such an ordering alloy.

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