An analysis of ionic radii, ionisation energies of ions and the electron binding energies in the highest occupied atomic orbitals of elements in their thermodynamically stable states is presented in the paper. It was shown that, for a number of ions of the same electronic configuration, several parameters, like the reciprocals of the ionic radii, square roots of ionisation energies and electron binding energies, are linear functions of the nuclear charge of ion (atomic number). A formal agreement of the character of the obtained relationships with the Slater equations describing the energies and the radii of electronic shells in atoms allows us to treat the constants in the obtained equations as an 'empirical' effective main quantum number and an 'empirical' screening constant.
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