Relationship between activity interaction parameters in Fe-C system and temperature

  • Er-bao ChenEmail author
  • Mao-liu Liu
  • Shi-jun Wang


Carbon solubility in Fe-Mn melts (xFe = 0. 102 3 − 0. 789 9, xMn=0. 055 1 − 0. 638 0) was measured experimentally at various temperatures. Using Gibbs-Duhem equation, in combination with the experimental results in this work, quoting experimental data reported in references, and by strict thermodynamic derivation and calculation, the relation equations between the activity interaction parameters in Fe-C system and temperature were obtained. The calculation equation of lnγFe in Fe-C system was also obtained. The calculated results show that these relation equations can be used to calculate the activity coefficients of carbon and iron in Fe-C system and can satisfy the necessary condition to satisfy Gibbs-Duhem equation and the necessary condition to satisfy the stability condition of system at high carbon content. The calculation formula for lnγC in Fe-Mn-C system was also obtained.

Key words

Fe-C system activity interaction parameter activity coefficient carbon 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Sigworth G K, Elliott J E. Thermodynamics of Liquid Dilute Iron Alloys [J]. Met Sci, 1974, 8(9): 298.CrossRefGoogle Scholar
  2. 2.
    Chipman J. Thermodynamics of Liquid Fe-C Solutions [J]. Metall Trans, 1970, 1(8): 2163.CrossRefGoogle Scholar
  3. 3.
    The Japan Society for Promotion of Science, the 19th Committee on Steelmaking. Steelmaking Data Source Book [M]. Montreuxi Gordon and Breach Science Publishers S A, 1988.Google Scholar
  4. 4.
    Lee Y E. Thermodynamical Assessment of Liquid Mn-Fe-C System by Unified Interaction Parameter Model [J]. ISIJ International, 2003, 43(2): 144.CrossRefGoogle Scholar
  5. 5.
    Pelton A D, Bale C W. A Modified Interaction Parameter Formalism for Non-Dilute Solutions [J]. Metall Mater Trans, 1986, 17A(7): 1211.CrossRefGoogle Scholar
  6. 6.
    Bale C W, Pelton A D. The Unified Interaction Parameter Formalism: Thermodynamic Consistency and Applications [J]. Metall Mater Trans, 1990, 21A(7): 1997.CrossRefGoogle Scholar
  7. 7.
    HUANG Xi-hu. Principle of Ferro Metallurgy (Revised) [M]. Beijing: Metallurgical Industry Press, 1990 (in Chinese).Google Scholar
  8. 8.
    LIANG Lian-ke, CHE Yin-chang, YANG Huai, et al. Thermodynamics and Dynamics of Metallurgy [M]. Shenyang: Northeastern University Press, 1990 (in Chinese).Google Scholar

Copyright information

© China Iron and Steel Research Institute Group 2009

Authors and Affiliations

  1. 1.School of Metallurgy and MaterialsAnhui University of TechnologyMa’anshan, AnhuiChina
  2. 2.First Factory of Steelmaking and RollingMa anshan Iron and Steel Co LtdMa’anshan, AnhuiChina

Personalised recommendations