### 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 |
---|---|

Pages (from-to) | 357-363 |

Number of pages | 7 |

Journal | Metals and Materials International |

Volume | 11 |

Issue number | 5 |

Publication status | Published - 2005 Oct 1 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Metals and Materials International*,

*11*(5), 357-363.

**Particle size effects on the coherent phase equilibria of binary nanoparticles.** / Huh, Joo Youl; Lee, Heon; Johnson, William C.

Research output: Contribution to journal › Article

*Metals and Materials International*, vol. 11, no. 5, pp. 357-363.

}

TY - JOUR

T1 - Particle size effects on the coherent phase equilibria of binary nanoparticles

AU - Huh, Joo Youl

AU - Lee, Heon

AU - Johnson, William C.

PY - 2005/10/1

Y1 - 2005/10/1

N2 - 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.

AB - 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.

KW - Coherent phase diagram

KW - Compositional strain

KW - Miscibility gap

KW - Nanoparticle

KW - Surface stress

UR - http://www.scopus.com/inward/record.url?scp=30344476397&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30344476397&partnerID=8YFLogxK

M3 - Article

VL - 11

SP - 357

EP - 363

JO - Metals and Materials International

JF - Metals and Materials International

SN - 1598-9623

IS - 5

ER -