A theoretical assessment on thermodynamic properties and concentration fluctuations of Cu-Pb liquid alloys at a specified temperature has been made by using the fitted values for size ratio ( ) and order energy parameter (W) of the alloys in Quasi-Lattice Theory where the combined effect of size ratio, entropic and enthalpic effect is considered. The order energy parameter (W) of the alloys is temperature dependent and its value at the required temperature has been determined by using the value of order energy parameter at the given temperature and temperature derivative of order energy parameter ( ). The values of W at different temperatures have been used to determine the free energy of mixing of the alloys at different temperatures which are then used for the optimization procedure in order to calculate the corresponding values of partial excess free energy of mixing and activity of the constituents involved in the alloy at different temperatures. These parameters have been used to predict the concentration fluctuations in long wavelength limit (S cc (0)) at different temperatures in the entire range of concentration.Keywords: Optimization procedure, Order energy parameter, Partial excess free energy of mixing, Size ratio, Liquid alloys.
INTRODUCTIONInvestigations on the thermodynamic and structural properties of the alloys in liquid state are very essential to study the alloying behavior of the alloys. In order to achieve this goal, metal physicists, chemists and metallurgists have been working on several models (Flory, 1942;Alonso & March, 1982; Bhatia & Singh, 1989;Prasad et al., 1989;Young, 1992;Akinlade et al., 2000;Adhikari et al., 2010;Jha et al., 2014; Singh et al., 2014a Singh et al., , 2014b to understand the mixing properties of binary liquid alloys for preparing desired alloys. Copper being one of the most useful metals in our life because of its extraordinary corrosion resistance property is widely used in our daily-life mostly as a pure metal. Since it is a little soft metal, its hardness can be increased by making its alloys which have huge commercial applications because of their good electrical and mechanical properties along with high corrosion resistance. Though there