TITLE:
Temperature and Composition Reliance of the Mixing Properties of Fe-Mn Melts by Molecular Interaction Volume Model
AUTHORS:
Nabin Kumar Roy, Nirjar Vrind, Sunil Kumar Bhagat, Ranjan Prabhu, Jagdhar Mandal, Indu Shekhar Jha
KEYWORDS:
Molecular Interaction Volume Model, Gibss Free Energy of Mixing, Activity Coefficient, Concentration Fluctuations, Excess Stability Function and Diffusivity Ratio
JOURNAL NAME:
World Journal of Condensed Matter Physics,
Vol.16 No.3,
August
31,
2026
ABSTRACT: The mixing properties of Fe-Mn melts have been explored as a function of composition of Fe at 1763 K, 1863 K, 1963 K and 2063 K on utilizing molecular interaction volume model. The analytical expressions for the thermodynamic variables like excess free energy of mixing, Gibbs free energy of mixing, activity and activity coefficients of a binary alloy are deduced and these expressions are employed to ascertain the theoretical data of the thermodynamic functions for Fe-Mn melts at the temperatures under consideration. For this, the required interaction energy parameters are estimated by Newton-Rapson method on employing the experimental value of activity coefficient at infinite dilution. The theoretical values of the thermodynamic properties are compared with the correlated experimental data available in the literature for Fe-Mn melts at 1863 K. An excellent harmony is observed. Again, the expression for the microscopic function like concentration fluctuations for a binary system is deduced in the framework of molecular interaction volume model. The theoretical data of the concentration fluctuations for Fe-Mn melts are reckoned at 1763 K, 1863 K, 1963 K and 2063 K. The theoretical and experimental data of concentration fluctuations exhibit well harmony at 1863 K. Further, the analytical expressions for short-range order parameter, diffusivity ratio and excess stability function for a binary system are also derived in terms of concentration fluctuations. The analytical expressions are employed to theoretically predict the short-range order parameter, diffusivity ratio and excess stability function of Fe-Mn melts at 1763 K, 1863 K, 1963 K and 2063 K. The results predict the feebly segregating character of Fe-Mn melts in the temperature range 1763 - 2063 K.