In this paper, a novel ionization energy, IE, set theory-based organizational structure is suggested: (i) iso-protonic sets, IZE; (ii) iso-electronic sets, IEs; and (iii) iso-ionic sets, IEi+. A computational algorithm is proposed which was demonstrated on twenty-five iso-electronic IEs-sets plotted vs. the nuclear charge, Z. The algorithm allows for: (i) the interpolative assessment of 162 new (not measured) IE values, with their uncertainties estimated by the Lagrange method, for ions from 30Zn to 41Nb; and (ii) effective atomic nuclear charge assessment. It is shown that the IE effective atomic nuclear charge assessment is strongly correlated with the Slater’s effective charge and Pauling electronegativity scale.
Mariana Sendova (Sat,) studied this question.