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Nanoalloys pp 227–257Cite as

Segregation and Phase Transitions in Reduced Dimension: From Bulk to Clusters via Surfaces

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Part of the book series: Engineering Materials ((ENG.MAT.))

Abstract

To describe the thermodynamics of bimetallic clusters, we use approaches that have been successfully employed for bulk alloys and their surfaces. We detail what happens for bulk and surface phase transitions when considering nanoalloys with a tendency to phase separation. A rigid-lattice approach allows us to analyze the behaviour of surface and core shells of the nanoalloys. We discuss the existence of bistabilities (or dynamical equilibrium) which are the analogous of surface and bulk phase transitions in semi-infinite alloys. Such dynamical equilibrium is susceptible to affect the cluster facets in an individual way (individual dynamical equilibrium), whereas the inner shells show a collective bistability (collective dynamical equilibrium). Then, we compare these bistabilities obtained in the semi-grand canonical ensemble with the results obtained in the canonical ensemble, before discussing the relation between experimental conditions and the two thermodynamic ensembles. Finally, a first attempt to establish generalized phase diagram for bimetallic clusters is proposed.

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Acknowledgments

It is a pleasure to acknowledge the many collaborators and colleagues who have significantly contributed to this work: Virginie Moreno, Florence Lequien, Laure Delfour, Mariem Lamloum and Mohamed Briki. We are indebted to Isabelle Braems, Christine Mottet, Guy Tréglia, François Ducastelle, Christian Ricolleau and Cyril Langlois for many stimulating and useful discussions throughout the course of this research.

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Authors and Affiliations

  1. ICMMO/LEMHE, Univ. Paris-Sud, 91405, Orsay, France

    Jérôme Creuze & Fabienne Berthier

  2. CNRS, UMR 8182, 91405, Orsay, France

    Fabienne Berthier

  3. SRMP-DMN, CEA Saclay, 91191, Gif sur Yvette Cedex, France

    Bernard Legrand

Authors
  1. Jérôme Creuze
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  2. Fabienne Berthier
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  3. Bernard Legrand
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Correspondence to Bernard Legrand .

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Editors and Affiliations

  1. , Matériaux et Phénomènes Quantiques, Université Paris Diderot, Bâtiment Condorcet, Paris, 75205, France

    Damien Alloyeau

  2. , Campus de Luminy, CINaM-CNRS, Case 913 913, Marseille, 13288, France

    Christine Mottet

  3. , Université Paris Diderot, Université Paris Diderot, Bâtiment Condorcet Case 7021, Paris, 75205, France

    Christian Ricolleau

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Creuze, J., Berthier, F., Legrand, B. (2012). Segregation and Phase Transitions in Reduced Dimension: From Bulk to Clusters via Surfaces. In: Alloyeau, D., Mottet, C., Ricolleau, C. (eds) Nanoalloys. Engineering Materials. Springer, London. https://doi.org/10.1007/978-1-4471-4014-6_7

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