Analysis of Debye Temperature and Transition Temperature of Cubic Structured Superconducting Elements

In the present work the aim is exploration of possibility of statistical prediction of Debye temperature and transition temperature from crystallographic elastic constants of cubic superconducting elements. We have known that certain metals posses superconductivity i.e. they have zero resistance and undetectable magnetic permeability below their transition temperature Tc. Based on its highest Tc among all elements Nb has been considered the most likely base metal for superconducting materials from the beginning and its alloys and intermetallic compounds have been investigated most extensively. Analysis of Debye temperature and superconducting transition temperature for cubic crystals has been calculated by using harmonic mean averaging method and the McMillan formula. McMillan formula based on electron phonon interaction parameter and carrier concentration derived by Heremans et al. (Phys Rev B, 37, 1604(1988)). We found that calculated value of Debye temperature and transition temperature are in almost closed agreement with experimental value