A unified model, free of any adjustable parameters, for the size-dependence
and dimension-dependence of melting point depression and superheating of n
anocrystals is developed. In terms of the consideration of the surface/volu
me ratio of nanocrystals, the suppression of melting point of nanocrystals
and superheating of embedded nanocrystals are predicted. The model predicti
ons for the melting temperatures of nanocrystals are consistent with the ex
perimental results and molecular dynamics simulations.