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Theoretical treatment of interaction parameters in multicomponent metallic solutions
Author(s) -
Ueno Shuji,
Waseda Yoshio,
Jacob K. Thomas,
Tamaki Shigeru
Publication year - 1988
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.198801544
Subject(s) - pseudopotential , formalism (music) , thermodynamics , chemistry , dilution , physics , condensed matter physics , art , musical , visual arts
A new theoretical equation for interaction parameter in multicomponent metallic solutions is developed using the pseudopotential formalism coupled with the free energy of the hard sphere system. The approximate expression for the pseudopotential term is given in terms of the heat of solution at infinite dilution, to allow easy evaluation of the interaction parameter in various multicomponent systems. This theory has been applied to 23 non‐ferrous alloys based on Pb, Sn, Bi and In. Comparison with the results of previous theoretical calculations using only the hard sphere model suggests that the inclusion of the pseudopotential term yields a quantitatively more correct prediction of interaction parameters in multicomponent metallic solutions. Numerical calculations were also made for 320 Fe‐base solutions relevant to steelmaking and the agreement between calculation and experimental data appears reasonable, with 90% reliability in predicting the correct sign.