Thermodynamic first order interaction coefficient between nitrogen and manganese in liquid steel

A simple theory of thermodynamic properties of liquid nitrogen in Fe – Mn alloys is proposed. This theory is completely analogous to the theory for liquid nitrogen solution in alloys of the Fe – Cr system proposed previously by the authors in 2019. The theory is based on lattice model of the considered Fe-Mn solutions. The model assumes a FCC lattice. In the sites of this lattice are the atoms of Fe and Mn. Nitrogen atoms are located in octahedral interstices. The nitrogen atom interacts only with the metal atoms located in the lattice sites neighboring to it. This interaction is pairwise. It is assumed that the energy of this interaction depends neither on the composition nor on the temperature. It is supposed that the solution in the Fe – Mn system is perfect. Within the framework of the proposed theory, a relation was obtained that expresses the value of the Sieverts law constant for solubility of N in liquid Mn through the similar constant for the solubility of N in liquid Fe and the Wagner N – Mn interaction coefficient in liquid Fe. The values of the Sieverts law constants in this relation are taken directly from the experimental measurements of the solubility of N in liquid Fe and in liquid Mg. In this case, the obtained relation is considered as an equation with respect to the Wagner interaction coefficient ℇ^Mn_N. The solution of this equation gives the value of Wagner interaction coefficient ℇ^Mn_N = –5.25 in liquid steel at a temperature of 1273 K. Wagner interaction coefficient ℇ^Mn_N is related with Langenberg interaction coefficient e^Mn_N by the relation deduced by Lupis and Elliott in 1965. The relation includes the atomic masses of Fe and Mn. Substituting to the relation under consideration the value ℇ^Mn_N = –5.25 and solving the resulting equation with respect to e^Mn_N we obtain the value e^Mn_N = –0.0230. This value corresponds to the experimental data of Beer (1961). It seems to us that is one of the most probable of all experimental values of e^Mn_N for liquid steel at 1873 K. Another such value is e^Mn_N = 0.0209 obtained by Shin with coworkers in 2011.

thermodynamics, solutions, nitrogen, manganese, iron, activity coefficient, Wagner interaction coefficient, Langenberg interaction coefficient, Sieverts law

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