A GENERALIZED SEMI-EMPIRICAL TC EXPRESSION OF THE ISOSUPERCONDUCTIVITY THEORY

Abstract

As the international scientific community celebrates the first century of the discovery of superconductivity this year, 2011, an outstanding problem is achieving a generalized mechanism of the Cooper pair formation (CPF). In this current study, it has been shown that at short distances, the CPF is by a nonlinear, nonlocal and nonhamiltonian strong hadronic-type interactions due to deepwave-overlapping of spinning particles leading to Hulthen potential that is attractive between two electrons in singlet couplings while at large distance the CPF is by superexchange interaction which is purely a quantum mechanical affairs. It is observed that for both distances the control parameter responsible for the superconducting state is the effective valence z. Therefore a semiemperical Tc expression depending on the effective valence is obtained. This Tc expression gives the same results as the successful BCS Tc expression but unlike the latter whose predicting power is limited to 25 K, the former predicts higher temperatures even beyond room temperature. The implication is that unlike the BCS theory that is restricted to conventional superconductors, the isosuperconductivity theory can be used to account for the conventional and the non-conventional su-