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. 2025 Jun 6;8:177. doi: 10.1038/s42004-025-01566-3

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© The Author(s) 2025

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Fig. 1 — a Calculated enthalpies of dense sodium phases as functions of pressure. b, c Calculated vibrational free energies per atom for four dense sodium phases at 150 GPa and 170 GPa. In both (b) and (c), the vibrational free energy of the fcc structure at the denoted pressure is used as the zero-energy reference level.