Abstract
The Z-1 perturbation expansion is used to derive an expression for the atomic binding energy E in the limit of large nuclear charge Z and number of electrons N. The coefficients appearing in this expression are determined from conditions related to the general behavior of E as a function of N. It is shown that through this expression one can: 1) obtain an excellent representation of Thomas-Fermi ions; 2) derive an expression for the chemical potential of neutral atoms in the limit of large Z, which accounts for the general behavior of this property in atoms of the periodic table; and 3) describe rather well ratios between different energy components.
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