Modelling of size-dependent thermodynamic properties of metallic nanocrystals based on modified Gibbs–Thomson equation

Abstract In this paper, a new theoretical two-phase (solid–liquid) type model of melting temperature has developed based on the modified Gibbs–Thomson equation. Further, it is extended to derive other different size-dependent thermodynamic properties such as cohesive energy, Debye temperature, specific heat capacity, thermal and electrical conductivity metallic nanoparticles. Quantitative calculation effect size resulted in, varying linearly with inverse characteristic length nanomaterials. The models are applied Al, Pb, Ag, Sn, Mo, W, Co, Au Cu nanoparticles spherical shape. found decrease in particle size, whereas energy capacity increased size. present also compared previous consistent. results obtained validated experimental simulation from several sources that show similar trends between results. Graphic abstract