Recently two high-pressure phases of Ca above 100 GPa have been identified and shown to possess high superconducting critical temperatures (T-c). Their crystal structures, however, are unknown. The search for low-enthalpy structures within the stability range using genetic algorithm and quasirandom methods yielded the same solutions. Both methods reveal a Puma structure for Ca-IV and a Cmca structure for Ca-V. Calculated diffraction patterns are in substantial agreement with experiments. The proposed structures are both found to be superconducting, and the calculated T-c values are close to those observed for Ca-IV and Ca-V.
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