Modelling interfacial energies in metallic systems

A general algorithm has been derived to model various interfacial energies in metallic systems. Approximated equations have been obtained for the following interfacial energies: i. the surface tension of liquid metals (checked against data on Li, Na, K, Rb, Cs, Mg, Ca, Sr, Ba, Al, Tl, Pb, Cu. Ag, Au, Zn, Cd, La, Ti, Zr, Hf, V, Nb, Ta, Cr, Mo, W, Mn, Re, Fe, Ru, Os, Co, Rh, Ir, Ni, Pd, Pt, Si, Ge, Sb); ii. the surface energy of solid metals, iii. the surface energy of metallic mono-carbides (TiC, ZrC, HfC, VC0.88, NbC, TaC, WC), iv. the interfacial energy between two, immiscible liquid metals (Ga/Pb and Al/Bi), v. the solid/liquid interfacial energy of pure metals (Hg, In, Tl, Ga, Pb, Sri, Bi, Cd, Zn, Sb, Al, Ag, Au, Cu, Ge, Fe, Pt, Co, Ni, Si), vi. the solid/liquid interfacial energy between different metals (Zn/Sn, Ag/Pb, Cu/Pb, Nb/Cu, Fe/Cu, Mo/Sn, Fe/Pb, W/Sn. Fe/Ag, W/Cu) and the solid/liquid interfacial energy between metallic mono-carbides and liquid metals (TiC/Cu, WC/Cu, TiC/Fe, WC/Fe).