Parent materials of high-temperature superconductors (HTSC) need to be doped to become superconducting. The optimum doping for maximum critical transition temperature T c has been analyzed for more than 20 materials. Assuming a uniform doping distribution the distance x between doped unit cells-projected into the CuO 2 plane for cuprates-shows a strong linear correlation to the inverse of T c in the form (2x) 2 = m 1 1/T c with a slope of m 1 = (2.786 ± 0.029) × 10 −15 m 2 K. The mercury cuprate homologous series HgBa 2 Ca n − 1 Cu n O 2n+2+δ with n = 1, 2, 3 has been used to demonstrate the procedure deriving the doping distance x from the optimum doping value δ.
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