The following equation has been used to predict the melting temperature, tm, of a spherical particle of radius r:
(1-tm/tm, bulk) = (2/(\rhoslr))[\gammas-\gammal(\rhos /\rhol)] (4.8)here, tm, bulk is the bulk melting temperature, \rhos and \rhol are the densities of the solid and liquid phases, respectively; \gammas and \gammal are the surface tensions of the solid and liquid phases, respectively; and l is the latent heat of the material. according to the scaling law in equation 4.5: tm ~ tm, bulk(1-1/r), r is the radius in nanometer.(tm, bulk = 1336 k, \rhos = 1.84