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

Bibliographical note

Funding Information:
JYH is grateful for the financial support by the Core Technology Development Program for Fuel Cell of Ministry of Commerce, Industry and Energy, and Korea Institute of Industrial Technology Evaluation and Planning. WCJ gratefully acknowledges the U.S. Department of Energy through Grant DE-FG02-99ER45771 for their support of this work.


  • 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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