Abstract
A two-stage technique is developed to interpolate and extrapolate the ionization energies of Cu- and Ni-like ions along $Z$ with accuracy to the fifth significant digit. I) The first stage consists of scaling the known ionization energies (IE) along $Z$, which brings the ${\rm IE}(Z)$-function to a quasi-straight line. Function straightening detects points where the function’s smoothness breaks down. They are fitted to the ${\rm IE}(Z)$ curve in the same way as it is usually done in some experiments. Scaling on successive overlapping segments allows a confident extrapolation to the region $Z = {92}$. II) The verification of the obtained results in stage I is performed using the parameter of the relativistic model potential of a Dirac equation. The results of techniques I and II agree well up to $Z\sim{92}$.
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