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The effect of interfacial energy and phase fraction on the particle shape and the dihedral angles in two-phase small particles containing a cusp-oriented interface; computational model

  • Interface Science
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Abstract

The equilibrium shape and dihedral angles at the solid–liquid–vapor tri-junctions of two-phase alloy small particles containing a cusp-oriented interface were modeled as a function of phase fraction, surface energy and the interfacial energy. The calculation was applied to different combinations of surface and/or interfacial energies to demonstrate the various possible particle shapes and dihedral angles that result for two-phase particles. The dihedral angles at the tri-junction vary with the phase fraction, due to the coupling between the relative amounts of each phase, interfacial energy relative to the two surface energies and the equilibrium conditions at the tri-junction. These features can be used to find the ratio of the interfacial energy to the surface energies of two-phase particles for any state of matter.

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Acknowledgements

The authors gratefully acknowledge support by the National Science Foundation under Grant DMR-0554792 (JMH). The authors also gratefully acknowledge the great contributions and valuable discussions with professor W. C. Johnson (AMM).

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  1. A. M. Mebed

    Present address: Al-Jouf University, Skaka, 2014, Kingdom of Saudi Arabia

Authors and Affiliations

  1. Physics Department, Faculty of Science, Assuit University, Assuit, 71516, Egypt

    A. M. Mebed

  2. Department of Materials Science and Engineering, University of Virginia, Charlottesville, VA, 22904-4745, USA

    J. M. Howe

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  1. A. M. Mebed
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  2. J. M. Howe
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Correspondence to A. M. Mebed.

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Mebed, A.M., Howe, J.M. The effect of interfacial energy and phase fraction on the particle shape and the dihedral angles in two-phase small particles containing a cusp-oriented interface; computational model. J Mater Sci 42, 9504–9510 (2007). https://doi.org/10.1007/s10853-007-1956-4

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  • DOI: https://doi.org/10.1007/s10853-007-1956-4

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