Phase Equilibria in Three-Component Systems and Four-Component Systems with Exclusion of the Gas Phase

  • Bruno Predel
  • Michael Hoch
  • Monte Pool
Part of the Engineering Materials and Processes book series (EMP)


In a three-component system (A, B, C) the composition of a mixture is fixed by the concentration of two components.


Ternary System Phase Field Saturation Curve Primary Crystallization Ternary Eutectic 
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  1. [1]
    R. Vogel, “Die heterogenen Gleichgewichte”, 2. Edition, Akademische Verlagsgesellschaft Geest u. Portig, Leipzig (1959)Google Scholar
  2. [2]
    W. Guertler, “Konstitution der ternären metallischen Systeme”, M.W. Guertler, BerlinDahlem (1956)Google Scholar
  3. [3]
    L.S. Palatnik and A. I. Landau,“Phase Equilibria in Multicomponent Systems”, Holt, Reinhart and Winston Inc., New York (1964)Google Scholar
  4. [4]
    R. Vogel,“Einführung in die Metallurgie”, Musterschmidt-Verlag, Göttingen (1955)Google Scholar
  5. [5]
    B. Predel, H. Bankstahl and T. Gödecke, J. Less-Common Metals, 44, 39 (1976)CrossRefGoogle Scholar
  6. [6]
    W. Guertler and E. Anastasiadis, “Konstitution ternärer metallischer Systeme”, Verlag Wirtschaft und Kultur, E Jaster, Berlin (1956)Google Scholar
  7. [7]
    W. Dreizier, E Aldinger and G. Petzow, Z. Metallkde., 70, 769 (1979)Google Scholar
  8. [8]
    A. Prince, “Alloy Phase Equilibria”, Elsevier Publishing Comp., Amsterdam (1966)Google Scholar
  9. [9]
    G. Petzow, S. Steeb and G. Kiessler, Z. Metallkde., 54 (1963) 473Google Scholar
  10. [10]
    G. Petzow and H.L. Lukas, Z. Metallkde., 61 (1970) 877Google Scholar

General References

  1. A.M. Alper (Editor),“Phase Diagrams”, Vol.I, Theory, Principles and Techniques of Phase Diagrams Vol.II The Use of Phase Diagrams in Metal, Refractory, Ceramic and Cement Technology, Vol.III, The Use of Phase Diagrams in Electronic Materials and Glass Technology. Academic Press, New York (1970)Google Scholar
  2. W. Eitel, “Die heterogenen Schmelzgleichgewichte silikatischer Mehrstoffsysteme”, J. Ambrosius Barth, Leipzig (1945)Google Scholar
  3. R. Haase und H. Schonert, “Solid-Liquid Equilibrium”, in: The International Encyclopedia of Physical Chemistry and Chemical Physics, Topic 13: “Mixtures, Solutions, Chemical and Phase Equilibria”, Editor: M.L. McGlashan; Vol. 1, Pergamon Press, Oxford (1969).Google Scholar
  4. J. Hansen and F. Beiner, “Heterogene Gleichgewichte”, W. de Grueter Verlag, Berlin (1974) E.M. Levin and H.F. McMurdie ( Editor: M.K. Reser), “Phase Diagrams for Ceramists, 1975Google Scholar
  5. Supplement“, The Amer. Ceramic Soc., Columbus, Ohio, USA (1975)Google Scholar
  6. T. Mager, H.L. Lukas and G. Petzow, Z. Metallkde., 63 (1972) 877Google Scholar
  7. G. Masing. Masing, “Ternäre Systeme”, 2. Edition, Akademische Verlagsgesellschaft Geest u. Portig, Leipzig (1959)Google Scholar
  8. J. Nyvlt, “Solid-Liquid Phase Equilibria”, Elsevier Scientific Publ. Comp., Amsterdam (1977)Google Scholar
  9. L.S. Palatnik and A.I. Landau, Zh. Fiz. Khim. 29, 1748–2054 (1955)Google Scholar
  10. L.S. Palatnik and A.I. Landau, Zh. Fiz. Khim. 30 (1956) 2399Google Scholar
  11. G. Petzow and F. Aldinger, Z. Metallkde., 59 (1968) 145Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Bruno Predel
    • 1
  • Michael Hoch
    • 2
    • 3
  • Monte Pool
    • 3
  1. 1.StuttgartGermany
  2. 2.CincinnatiUSA
  3. 3.Dept. of Chemical and Materials EngineeringUniversity of CincinnatiCincinnatiUSA

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