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Journal of Chemical Physics / Volume 127 / Issue 7 / ARTICLES / Surfaces, Interfaces, and Materials

J. Chem. Phys. 127, 074710 (2007); http://dx.doi.org/10.1063/1.2752506 (8 pages)

Phase field theory of interfaces and crystal nucleation in a eutectic system of fcc structure: II. Nucleation in the metastable liquid immiscibility region

Gyula I. Tóth1 and László Gránásy2

1Research Institute for Solid State Physics and Optics, P.O. Box 49, H-1525 Budapest, Hungary
2Brunel Centre for Advanced Solidification Technology, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom and Research Institute for Solid State Physics and Optics, P.O. Box 49, H-1525 Budapest, Hungary

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(Received 8 September 2006; accepted 1 June 2007; published online 21 August 2007)

In the second part of our paper, we address crystal nucleation in the metastable liquid miscibility region of eutectic systems that is always present, though experimentally often inaccessible. While this situation resembles the one seen in single component crystal nucleation in the presence of a metastable vapor-liquid critical point addressed in previous works, it is more complex because of the fact that here two crystal phases of significantly different compositions may nucleate. Accordingly, at a fixed temperature below the critical point, six different types of nuclei may form: two liquid-liquid nuclei: two solid-liquid nuclei; and two types of composite nuclei, in which the crystalline core has a liquid “skirt,” whose composition falls in between the compositions of the solid and the initial liquid phases, in addition to nuclei with concentric alternating composition shells of prohibitively high free energy. We discuss crystalline phase selection via exploring∕identifying the possible pathways for crystal nucleation.

© 2007 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. APPLIED MODELS
    1. Phase field theory for liquid-liquid interfaces and liquid phase separation
    2. Phase field theory for crystal nucleation and crystal-liquid interfaces
  3. PHYSICAL PROPERTIES
  4. RESULTS AND DISCUSSION
    1. Equilibrium liquid-liquid interfaces and nuclei
    2. Nucleation pathways
      1. Crystal nucleation near the critical point
      2. Crystal nucleation inside the spinodal region
      3. Crystal nucleation between the spinodal and coexistence lines
  5. SUMMARY

EDITORIALLY RELATED

  1. Phase field theory of interfaces and crystal nucleation in a eutectic system of fcc structure: I. Transitions in the one-phase liquid region
    Gyula I. Tóth et al.
    J. Chem. Phys. 127, 074709 (2007)JCPSA6000127000007074709000001

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KEYWORDS and PACS

Keywords

nucleation, solubility, critical points, interface phenomena, phase equilibrium, free energy, eutectic alloys, silver alloys, copper alloys

PACS

  • 64.60.Q-

    Nucleation

  • 64.60.F-

    Equilibrium properties near critical points, critical exponents

  • 64.75.-g

    Phase equilibria

  • 68.03.-g

    Gas-liquid and vacuum-liquid interfaces

  • 65.20.-w

    Thermal properties of liquids

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2752506

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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    References

    G. I. Tóth and L. Gránásy, J. Chem. Phys. 127, 074709 (1997)JCPSA6000127000007074709000001.

    L. Gránásy and D. W. Oxtoby, J. Chem. Phys. 112, 2410 (2000)JCPSA6000112000005002410000001.

    A. Cacciuto, S. Auer, and D. Frenkel, Phys. Rev. Lett. 93, 166105 (2004).

    L. Gránásy, T. Pusztai, D. Saylor, and J. A. Warren, Phys. Rev. Lett. 98, 035703 (2007).

    J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28, 258 (1958)JCPSA6000028000002000258000001.

    J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 31, 688 (1959)JCPSA6000031000003000688000001.


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