Melting of metals under pressure

Lindemann's formula of melting is extended in terms of bulk modulus and Grüneisen parameter to study the pressure dependence of melting temperature, Tm(P) of metals. The formalism is applied to study Tm(P) of noble and transition metals, di-, tri- and tetravalent (Ag, Au, Cu, Mn, Mg, Zn, CD, In, Pb and Al) metals over a wide range of pressures up to 12 GPa. The computed melting temperatures of the metals under pressure using our semi-empirical relation is in good agreement with the experimental data.