The goal of this paper is to investigate properties of clusterized nuclearmatter which is believed to be present in crusts of neutron stars at subnucleardensities. It is assumed that the whole system can be represented by the set ofWigner-Seitz cells, each containing a nucleus and an electron background underthe condition of electroneutrality. The nuclear structure calculations areperformed within the relativistic mean-field model with the NL3parametrization. The first set of calculations is performed assuming theconstant electron background. The evolution of neutron and proton densitydistributions was systematically studied along isotopic chains until veryneutron-rich system beyond the neutron dripline. Then we have replaced theuniform electron background with the realistic electron distributions, obtainedwithin the Thomas-Fermi approximation in a self-consistent way with the protondistributions. Finally, we have investigated the evolution of the$\beta$-stability valley as well as neutron and proton driplines with theelectron density.
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