Thermodynamic stability of Cu 2 S sulfide in low carbon steels has been investigated using a CALPHAD type thermodynamic calculation method. Thermodynamic properties of the Cu-S binary and Fe-Cu-S ternary systems were critically assessed. By combining the newly assessed thermodynamic parameters to an existing thermodynamic database for steels, a thermodynamic description for low carbon steels involving sulfur and Cu could be obtained and be used to calculate phase equilibria and thermodynamic stability of precipitating phases such as AlN, MnS, and Cu 2 S. It was predicted that the Cu 2 S sulfide often observed in low carbon steels is actually a thermodynamically unstable phase and can precipitate when thermodynamic equilibrium state is not reached during steel making processes. Probable reasons and conditions for the formation of this unstable phase are discussed.KEY WORDS: thermodynamic calculation; low carbon steel; Cu 2 S; MnS.
© 2007 ISIJThe calculated phase diagrams and thermodynamic properties were in good agreement with corresponding experimental information. Unfortunately however, the model used for Cu 2 S could not be reconcilable to the current steel database which is based on the compound energy formalism. 17,18) Later, the Cu-S system was assessed again by Sundman 19) using a more friendly thermodynamic model (sublattice model) for the Cu 2 S phase. In this assessment, the liquid phase was not involved and more critically, the calculated enthalpies of formation of sulfide phases showed somewhat too large differences from corresponding experimental information. In the present study, a reassessment of the Cu-S binary system was carried out using the same thermodynamic model for Cu 2 S with that by Sundman, including also the liquid phase. The resultant thermodynamic parameter set for the Cu-S system was combined with those of 20) and to assess the Fe-Cu-S ternary system.
Thermodynamic ModelsIn the CALPHAD method 12,13) the Gibbs energy of individual phases is described using thermodynamic models. Then, the calculations of phase equilibria are performed based on the minimum-of-Gibbs-energy criterion, for example, the Hillert's equilibrium condition.22) An ordinary substitutional subregular solution model was used for the Gibbs energy of fcc and bcc solid solutions in Cu-S and Fe-Cu-S systems. For liquid, an associate solution model was used assuming the existence of an associate, Cu 2 S. The liquid Fe-S phase had also been described using the same model with an associate, FeS.19) With the above two associates, the Gibbs energy per mol of the Fe-Cu-S liquid phase can be described as follows: where x and °G represent mol fraction and Gibbs energy of individual component, respectively, and L parameters represent interactions between components. The L parameters can be expressed as a function of composition and temperature.The Cu 2 S phase (digenite) shows a rather wide composition range and is often expressed as Cu 2Ϫy S. In his assessment, Sundman 19) described this phase using a three-sublattice model wi...