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[en] Fermi energies (EFs) of high- Tc superconductors (SCs) have of late been evincing considerable interest because they are believed to be the cause of their high Tcs and gap structures. Since Bardeen-Cooper-Schrieffer (BCS) equations for elemental and generalized-BCS equations for non-elemental SCs are derived under the blanket of the assumption EF/ kθ > > 1 (k = Boltzmann constant, θ = Debye temperature), they cannot shed light on the EFs of these SCs. This fact leads us to address the gaps (Δ0s) and Tcs of both types of SCs via recently derived equations which incorporate EF as a variable. For the specification of the EF of any SC, we now need another of its properties. Choosing j0, the critical current density of the SC at T = 0, and following an idea due to Pines, we present for both types of SCs new equations for j0 that depend solely on the following properties of the SC: EF, θ, gram-atomic volume, electronic specific heat constant and a dimensionless construct where m* is the effective mass of superconducting electrons and P0 their critical momentum. Appeal to the experimental values of Δ0, Tc and j0 of any SC then not only leads to values of EF, m* and P0 but also provides plausible clues about how its j0—and therefore Tc—may be increased.