Size-induced thermal thermodynamic hysteresis in nanopowder undergoing structural transitions–from particular case to general behaviour

Shirinyan, A.S.; Bilogorodskyy, Yuriy

doi:10.1080/01411590903124189

Cited by 5 publications

(3 citation statements)

References 17 publications

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“…We call this difference between the end point of forth transition and starting point of back transition as ‘thermodynamic hysteresis’. Similar effect has been shown for a structural transition of Fe-nanoparticle ensemble subjected to temperature change [ 41 ]. The reason of such hysteresis is nonsymmetry of transforming path of a nanosystem with respect to the initial conditions leading to differences in two-phase loops of nanomelting and nanosolidification in presented case.…”

Section: Resultssupporting

confidence: 82%

Two-phase equilibrium states in individual Cu–Ni nanoparticles: size, depletion and hysteresis effects

Shirinyan¹

2015

Beilstein J. Nanotechnol.

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SummaryIn isolated bimetallic nanoscale systems the limit amount of matter and surface-induced size effects can change the thermodynamics of first-order phase transformation. In this paper we present theoretical modification of Gibbs free energy concept describing first-order phase transformation of binary alloyed nanoparticles taking into account size effects as well as depletion and hysteresis effects. In such a way the hysteresis in a form of nonsymmetry for forth and back transforming paths takes place; compositional splitting and the loops-like splitted path on the size dependent temperature–composition phase diagram occur. Our calculations for individual Cu–Ni nanoparticle show that one must differentiate the solubility curves and the equilibrium loops (discussed here in term of solidification and melting loops). For the first time we have calculated and present here on the temperature–composition phase diagram the nanomelting loop at the size of 80 nm and the nanosolidification loop at the size of 25 nm for an individual Cu–Ni nanoparticle. So we observe the difference between the size-dependent phase diagram and solubility diagram, between two-phase equilibrium curves and solubility curves; also intersection of nanoliquidus and nanosolidus is available. These findings lead to the necessity to reconsider such basic concepts in materials science as phase diagram and solubility diagram.

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Section: Resultssupporting

confidence: 82%

Two-phase equilibrium states in individual Cu–Ni nanoparticles: size, depletion and hysteresis effects

Shirinyan¹

2015

Beilstein J. Nanotechnol.

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“…In these cases the free energy curves could potentially cross more than once depending the values of the various surface tensions and line tension. The analysis of this problem in a general form is in progress and will be discussed elsewhere [34].…”

Section: Discussion and Concluding Remarksmentioning

confidence: 99%

Influence of nanopowder particle size on competition and growth of different crystallographic phases during temperature cycling

2009

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“…Other kinetic models and simulations for the ensemble of binary nanoparticles predict a considerable increase in the width of the hysteresis loop with increasing particle size as well as a decrease. Which of the mentioned effects will occur depends on the mechanism of the nucleation of the new phase [11][12][13]. The individual nucleation events observed in nanoscale vapour-liquid-solid growth for the Au-Si system provide us with a picture of reproducible heterogeneous nucleation of catalyst particles at the edge of the droplets [15].…”

Section: Introductionmentioning

confidence: 99%

Size-dependent hysteresis and phase formation kinetics during temperature cycling of metal nanopowders

Shirinyan

Bilogorodskyy

Wilde

et al. 2011

J. Phys.: Condens. Matter

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We present a description of the evolution of a polymorphically transforming metal nanoparticle ensemble subjected to a temperature cycling with constant rates of temperature change. The calculations of the time dependence of the volume fraction of the new phase show the existence of size-dependent hysteresis and its main features. The statistical analysis makes it possible to introduce and determine the size-dependent superheating limit and supercooling limit.

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Size-induced thermal thermodynamic hysteresis in nanopowder undergoing structural transitions–from particular case to general behaviour

Cited by 5 publications

References 17 publications

Two-phase equilibrium states in individual Cu–Ni nanoparticles: size, depletion and hysteresis effects

Two-phase equilibrium states in individual Cu–Ni nanoparticles: size, depletion and hysteresis effects

Influence of nanopowder particle size on competition and growth of different crystallographic phases during temperature cycling

Size-dependent hysteresis and phase formation kinetics during temperature cycling of metal nanopowders

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