Melting Behaviour of Fractal-Shaped Nanoparticles (the Example of Si–Ge System)


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The influence of shape on phase equilibria in a two-phase region between liquidus and solidus temperatures has been simulated using Si–Ge nanoparticles as an example. The shape and volume of a particle have been set by its effective radius and fractal dimension. The temperature dependence of the fractal dimension of the phases has been taken into consideration in terms of a simple geometrical model. It has been shown that decreasing the volume of a nanoparticle and its fractal dimension (which corresponds to nanoparticles of a more complicated shape) leads to narrowing down the temperature range of the heterogeneous region, changes in phase transition temperatures and equilibrium compositions of co-existing phases. It has been found that at different temperatures the dependences of the composition of the liquid phase on a particle’s morphology differ which is explained by implementing different mechanisms of reducing the surface energy.

作者简介

A. Shishulin

G.A. Razuvaev Institute of Organometallic Chemistry, Russian Academy of Sciences

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Email: Chichouline_Alex@live.ru
俄罗斯联邦, Nizhny Novgorod, 603137

V. Fedoseev

Dzerzhinsk Polytechnic Institute, R.E. Alekseev State Technical University

Email: Chichouline_Alex@live.ru
俄罗斯联邦, Dzerzhinsk, 606026

A. Shishulina

Dzerzhinsk Polytechnic Institute, R.E. Alekseev State Technical University

Email: Chichouline_Alex@live.ru
俄罗斯联邦, Dzerzhinsk, 606026

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