Investigation of the relationship between T-c and the Coulomb interaction of copper cations from the neighboring CuO2 layers

Sixty known high-temperature cuprates from different systems are analyzed. It is shown that the temperature of the transition to the superconducting s tate (T-c)correlates with the Coulomb interaction V-ij between the Cu catio ns front the neighboring CuO2 layers. The dependence T-c(V-ij) is plotted a s two families of parabolic carves resembling an orthogonal system of confo cal parabolas. If follows front this relationship that the optimal doping o f CuO2 layers depends on the Cu-Cu distances between the neighboring CuO2 l ayers, Methods of varying the charges on and the distances between the copp er atoms are demonstrated. The potential applications of this relationship for developing the compositions of new high-temperature materials and choos ing methods to raise T-c of known high-temperature cuprates are discussed.