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Elucidating the phase diagram of solid hydrogen is a key objective incondensed matter physics. Several decades ago, it was proposed that at lowtemperatures and high pressures, solid hydrogen would be a metal with a highsuperconducting transition temperature. This transition to a metallic state canhappen through the closing of the energy gap in the molecular solid or througha transition to an atomic solid. Recent experiments have managed to reachpressures in the range of 400-500 GPa, providing valuable insights. There isstrong evidence suggesting that metallization via either of these mechanismsoccurs within this pressure range. Computational and experimental studies haveidentified multiple promising crystal phases, but the limited accuracy ofcalculations and the limited capabilities of experiments prevent us fromdetermining unequivocally the observed phase or phases. Therefore, it iscrucial to investigate the superconducting properties of all the candidatephases. Recently, we reported the superconducting properties of the C2/c-24,Cmca-12, Cmca-4 and I41/amd-2 phases, including anharmonic effects. Here, wereport the effects of anisotropy on superconducting properties using Eliashbergtheory. Then, we investigate the superconducting properties of deuterium andestimate the size of the isotope effect for each phase. We find that theisotope effect on superconductivity is diminished by anharmonicity in theC2/c-24 and Cmca-12 phases and enlarged in the Cmca-4 and I41/amd-2 phases. Ouranharmonic calculations of the C2/c-24 phase of deuterium agree closely withthe most recent experiment by Loubeyre et al. [Phys. Rev. Lett. 29, 035501(2022)], indicating that the C2/c-24 phase remains the leading candidate inthis pressure range, and has a strong anharmonic character. Thesecharacteristics can serve to distinguish among crystal phases in experiment.

Anisotropy and Isotope Effect in Superconducting Solid Hydrogen