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Tight model-independent approximations to the one-particle atomic density ρ(r), derived from very few values of the form factor F (k), are obtained by means of the minimumcross-entropy technique. For completeness, the accuracy of the approximations is analysed within a Hartree-Fock framework. § Permanent address:doi:10.1088/0953-4075/32/3/003 fatcat:j6cz6ofukzclpimb4hvhldbktu