### Abstract

The phase stability of isolated, radially symmetric nanoparticles of a binary system that exhibits a miscibility gap was analyzed by constructing coherent phase diagrams which account for both the surface stress (T _{s}) and the second-order compositional dependence of the lattice parameter (η)_{cc}). Although the elastic stress field in a two-phase coherent particle with a concentric core-shell structure is heterogeneous and nonhydrostatic at equilibrium, the appropriate free energy extremized for equilibrium could be expressed as a function solely of the temperature (θ), composition (c), and effective pressure (P), which are homogeneous in each phase at equilibrium. The construction of coherent phase diagrams in the three-dimensional θ-c-P space showed that the miscibility gap can be either extended or reduced by decreasing the particle radius, depending on the sign of T_{s}η_{cc} and that the tie-lines lie in the c-P plane.

Original language | English |
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Pages (from-to) | 357-363 |

Number of pages | 7 |

Journal | Metals and Materials International |

Volume | 11 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2005 Oct |

### Keywords

- Coherent phase diagram
- Compositional strain
- Miscibility gap
- Nanoparticle
- Surface stress

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Metals and Alloys
- Materials Chemistry

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## Cite this

*Metals and Materials International*,

*11*(5), 357-363. https://doi.org/10.1007/BF03027505