A model for the dependence of the melting temperature of nanocrystals
on the size of carbon nanotubes is developed. The model is applied to
investigate the nanotube size-dependent melting of TaC and Pb single c
rystals encapsulated in carbon nanotubes. It is shown that the melting
temperature for these single crystals in carbon nanotubes can be stro
ngly suppressed. The results also imply that nanotubes may provide an
effective means for investigating the supercooled state of liquids and
the liquid-glass transition.