Abstract
A novel model of a metallic nanoparticle is proposed. The model represents the nanoparticle as a hollow sphere. The existence of a nanohollow inside a particle is related to the behavior of phonons. The strain in the walls of a particle when it's heated is calculated utilizing the theory of a thick-walled shell. We show that in the transition to the elastic state, the expansion strains at the surface of a nanoparticle become sufficient for melting. The dependency of melting temperature on the size of a nanoparticle is discussed.
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