Many Electron Atoms: Ionization Energies of Transition Elements

The paper introduces a theoretical model aimed to calculate the ionization energies of many electron atoms and their ions. The validity of the model, which implements the statistical formulation of the quantum uncertainty to infer a simple formula of ionization energy, has been already proven in a previous paper comparing systematically experimental and calculated values for elements with atomic numbers 2≤Z≤29, whose electron configurations include all ions with numbers ne of electrons 2≤ne≤Z. The present paper enhances and extends the results previously obtained; the approach is now generalized to include even the transition elements and in particular the lanthanides and actinides. The validity of the proposed model is proven examining all experimental data of ionization energies of these elements and their ions available in literature.