Electron gas pressure in pure metals and metal superconductors

Abstract

The pressure of gas of non-interacting electrons P₀ at T~=0K in metals and metal superconductors in the normal and superconducting states, is determined. Found are the dependences of the critical temperature of superconductors on such a pressure and the relation between P₀ and the energy of the ground state of the atoms in the Hartree-Fock approximation. The temperature dependences of P₀ and other parameters of metal superconductors in superconducting state, are studied. The possibility and conditions of emergence of superconductivity at room temperature are established on the base of the model of non-interacting electrons. Shown is the common nature of energy gap in superconductors and exchange energy of spin-orbital interactions between nucley of ions and "super-conducting" electrons.