On temperature of superconducting transformation for metal nanocrystals

The methodology of calculating the Debye temperature in the nanocrystals, having the form of the n-dimensional rectangular parallelepiped with the arbitrary microstructure, wherein the number of atoms changes from N=2'' up to ∞. The dimensional dependence of the Debye temperature and melting temperature for various substances is studied on the basis of the obtained expression. The calculated temperature dependence of the transition into the superconducting state Tc on the aluminium, indium and lead dimension d agrees well with the experimental evaluations Tc(d). The temperature dependence of the transition into the superconducting state on the thickness of the z-plate or the arbitrary length core is calculated. By decrease in the plate or core thickness the Tc(z) function grows stronger in the more porous metal microstructure