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Thermodynamically Improbable Phase Diagrams

  • Published: 01 April 1991
  • Volume 12, pages 148–168, (1991)
  • Cite this article
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Journal of Phase Equilibria
Thermodynamically Improbable Phase Diagrams
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  • Hiroaki Okamoto1 &
  • T.B Massalski2 
  • 6636 Accesses

  • 202 Citations

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Abstract

Phase diagrams showing very unlikely boundaries, while not explicitly violating thermodynamic principles or phase rules, are discussed. Phase rule violations in proposed phase diagrams often become apparent when phase boundaries are extrapolated into metastable regions. In addition to phase rule violations, this article considers difficulties regarding an abrupt change of slope of a phase boundary, asymmetric or unusually pointed liquidus boundaries, location of miscibility gaps, and gas/liquid equilibria. Another frequent source of phase diagram errors concerns the initial slopes of liquidus and solidus boundaries in the very dilute regions near the pure elements. Useful and consistent prediction can be made from the application of the van’t Hoff equation for the dilute regions.

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Author information

Authors and Affiliations

  1. ASM International Materials Park, 44073, OH

    Hiroaki Okamoto

  2. Carnegie Mellon University Pittsburgh, 15213-3890, PA

    T.B Massalski

Authors
  1. Hiroaki Okamoto
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  2. T.B Massalski
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Cite this article

Okamoto, H., Massalski, T. Thermodynamically Improbable Phase Diagrams. JPE 12, 148–168 (1991). https://doi.org/10.1007/BF02645711

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  • Published: 01 April 1991

  • Issue Date: April 1991

  • DOI: https://doi.org/10.1007/BF02645711

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Keywords

  • Phase Diagram
  • Alloy Phase Diagram
  • Atomic Percent
  • Initial Slope
  • Allotropic Transformation
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