Metallurgical Transactions B

, Volume 17, Issue 4, pp 785–789 | Cite as

Comparison of solution models for nonmetallic solutes in binary liquid alloys: Nitrogen in Fe-Cr and Fe-Ni

  • Jen-Chwen Lin
  • Rainer Schmid
  • Y. Austin Chang
Physical Chemistry

Abstract

An equation for the activity coefficient of a nonmetallic interstitial solute in a binary liquid alloy at infinite dilution was derived by Wagner based on a solvation shell model. That equation contains one adjustable energy parameter and describes the general shape of experimental data. In an attempt to improve the description, the model has been extended to incorporate the nonideal behavior of binary liquid alloys, resulting in a nonrandom distribution of the solvation shells. The extended model is used to evaluate experimental data for nitrogen in Fe-Cr and Fe-Ni alloys. From this evaluation, a previous evaluation of oxygen data and comparison with another model equation, it is found that the quality of the description improves when the solution behavior of the metallic alloy is incorporated. Nonetheless, a quantitative description of experimental data is not attained. However, the most quantitative description is obtained when a model with two adjustable parameters is used where the knowledge of metallic solution behavior is not needed. The basic limitation of the solvation shell model to infinite dilution of the nonmetal is emphasized. It is further shown that Wagner’s general idea of chemical equilibrium among solvation shells is also applicable to the substitutional dissolution of atoms. We do this by presenting a detailed and straightforward derivation of another model equation which turns out identical to the one given by Alcock and Richardson. However, our derivation is shorter and based on a different physical picture. This model may be applied only to the substitutional dissolution of atoms in liquid alloys.

Keywords

Metallurgical Transaction Activity Coefficient Infinite Dilution Solvation Shell Binary Liquid Alloy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© The Metallurgical Society of American Institute of Mining 1986

Authors and Affiliations

  • Jen-Chwen Lin
    • 1
  • Rainer Schmid
    • 2
  • Y. Austin Chang
    • 1
  1. 1.Department of Metallurgical and Mineral EngineeringUniversity of Wisconsin-MadisonMadison
  2. 2.Institut für Eisenhüttenkunde und Giessereiwesen TechnischeUniversität ClausthalClausthal-ZellerfeldWest Germany

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