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Representation of thermodynamic properties of quaternary systems using interaction parameters
Author(s) -
Hajra Jnan Prakash,
Jayaganthan Rengaswamy,
Divakar Mantha
Publication year - 1997
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.199700569
Subject(s) - consistency (knowledge bases) , series (stratigraphy) , representation (politics) , gibbs free energy , thermodynamics , taylor series , mathematics , boundary (topology) , thermodynamic system , mathematical analysis , physics , geometry , geology , politics , political science , law , paleontology
Integral excess free energy of a quaternary system has been expressed in terms of the MacLaurin infinite series. The series is subjected to appropriate boundary conditions and each of the derivatives correlated to the corresponding interaction coefficients. The derivation of the partial functions involves extensive summation of various infinite series pertaining to the first order and quaternary parameters to remove any truncational error. The thermodynamic consistency of the derived partials has been established based on the Gibbs‐Duhem relations. The equations are used to interpret the thermodynamic properties of the Fe‐Cr‐Ni‐N system.