Dimensional dependences of the interfacial tension at a solid—liquid interface and the melting temperature of metal nanoparticles

Abstract

New coordinating relationships are obtained for the dimensional dependences of melting temperature T(r) and interfacial tension σSL(r) of a solid spherical nanoparticle at the boundary with its own melt. The Thomson formula for T(r) and the Tolman formula for σSL(r) follow from the expressions obtained at large radii of curvature. Numerical calculations are performed for metals. Results from calculations on the dimensional dependences of the melting temperature for Pt, Au, and Al that conform fairly well with experimental data are given as examples.