Particle size effects on the coherent phase equilibria of binary nanoparticles

J. Y. Huh, H. Lee, William C. Johnson

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 Tsηcc and that the tie-lines lie in the c-P plane.

Original languageEnglish
Pages (from-to)357-363
Number of pages7
JournalMetals and Materials International
Issue number5
Publication statusPublished - 2005 Oct


  • 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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