Parameter-free expression for superconducting<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>in cuprates

A parameter-free expression for the superconducting critical temperature of layered cuprates is derived which allows us to express ${T}_{c}$ in terms of experimentally measured parameters. It yields ${T}_{c}$ values observed in about 30 lanthanum-, yttrium-, and mercury-based samples for different levels of doping. This remarkable agreement with the experiment as well as the unusual critical behavior and the normal-state gap indicate that many cuprates are close to the Bose-Einstein condensation regime.

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