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The Boundary Theory of Isobaric Phase Diagrams

Rules for Phase Diagram Construction

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The Boundary Theory of Phase Diagrams and Its Application

Abstract

A phase diagram is constituted by the phase regions displayed and their boundaries. The relationship among neighboring phase regions (abbreviated to NPRs), and the NPRs’ boundaries is of a certain regularity. In other words, the phase regions and their boundaries must follow certain rules in order to constitute a correct phase diagram. The phase rule, which defines the relation among the number of components, number of phases and degrees of freedom of an equilibrium system, is infallibly applicable in every phase diagram. However, it does not cover the relationship and the regularity among the NPRs and their boundaries in the phase diagrams. For example, it would be difficult to answer the following questions:

  1. (1)

    If the phase assemblages of two NPRs are known, what are the characteristics of the boundaries between them?

  2. (2)

    If the phase assemblage of the first NPR and the characteristic of the boundary between two NPRs are known, what is the phase assemblage of the second NPR?

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References-2

  • P. Gordon. 1968. Principles of phase diagrams in materials systems. New York: McGrawHill

    Google Scholar 

  • M. Hillert. 1985. Principles of phase diagrams. International Metals Rev., 30(2): 45

    CAS  Google Scholar 

  • M. Hillert. 1993. Gibbs’ phase rule applied to phase diagrams and transformations. J. Phase Equilibrium, 14: 418

    Article  CAS  Google Scholar 

  • M. Hillert. 2007. Phase equilibria, phase diagrams and phase transformations, their thermodynamic basis. 2nd ed. Cambridge: Cambridge University Press

    Google Scholar 

  • L. S. Palatnik, A. I. Landau. 1964. Phase equilibria in multicomponent phase diagrams. New York: Holt Rinehart and Winston, Inc

    Google Scholar 

  • F. A. H. Schreinemakers, K. Akad. 1915. Wetenschappen (Section of Sciences). 18: 116 Amsterdam

    Google Scholar 

  • Muyu Zhao, Xiaobao Fan. 1985. The relation between the dimensions of the boundary and phase boundary in isobaric phase diagrams. Scientia Sinica, Ser, B, 28(5): 458

    Google Scholar 

  • Muyu Zhao. 1983. The theorem of corresponding relation between neighboring phase regions and their boundaries in phase diagrams. CALPHAD, 7(3): 185–199

    Article  CAS  Google Scholar 

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© 2009 Science Press Beijing and Springer-Verlag Berlin Heidelberg

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Zhao, M., Song, L., Fan, X. (2009). The Boundary Theory of Isobaric Phase Diagrams. In: The Boundary Theory of Phase Diagrams and Its Application. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02940-0_2

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