Metallurgical Transactions A

, Volume 20, Issue 10, pp 2047–2055 | Cite as

Thermodynamic consistency of the ternary functions

  • J. P. Hajra
Physical Chemical


A ternary thermodynamic function has been developed based on statistico-thermodynamic considerations, with a particular emphasis on the higher-order terms indicating the effects of truncation at the various stages of the treatment. Although the truncation of a series involved in the equation introduces inconsistency, the latter may be removed by imposing various thermodynamic boundary conditions. These conditions are discussed in the paper. The present equation with higher-order terms shows that the α function of a component reduces to a quadratic function of composition at constant compositional paths involving the other two components in the system. The form of the function has been found to be representative of various experimental observations.


Metallurgical Transaction Activity Coefficient Thermodynamic Consistency Present Equation Constituent Binary 
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Copyright information

© The Minerals, Metals & Materials Society and ASM International 1989

Authors and Affiliations

  • J. P. Hajra
    • 1
  1. 1.Department of MetallurgyIndian Institute of ScienceBangaloreIndia

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