Melting Temperatures and Heats Under Transition from Bulk to Nanophases

1 Melting Temperatures and Heats Under Transition from Bulk to Nanophases 

In order to explain the observed effects, different thermodynamic models have been developed, which establish the dependence of melting temperatures and enthalpy, Debye temperature, and atomic vibration amplitude on the crystal grain size (different models and the history of the question see in reviews [8,15,16]). The melting point depression for small crystals is described in the classical thermodynamic approach by the Gibbs-Thomson equation [17,18], For spherical particles, 

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