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We report the effects of system size on melting of dense sodium at about 100 GPa. We have performed systematic ab initio molecular-dynamics (MD) simulations with the number of atoms at most 250 for bcc and 256 for fcc structures based on 3s-valence-electron model and 2p3s-valence-electron model. We have shown that the inner-core 2p states play important roles at extremely high pressures and that the melting temperature estimated by one-phase approach depends on the system size; in particular,doi:10.1051/epjconf/20111501009 fatcat:pmconlwswff4rhtk3zdmk2xr3q