An iterative method for obtaining accurate atomic inner shell binding energies

A new method based on an iterative procedure for obtaining accurate atomic inner shell binding energies is described. The method makes use of the doubly modi-fied Moseley plot as the starting point. As an illustration accurate binding energies for the M ₁ shell in the atomic number range 57 ≤ Z ≤ 71 have been obtained. This has also resulted in the removal of the anomaly in the M ₁ binding energy of Z = 68. Our calculations point to a need for a fresh look at the theoretical calculations of inner shell binding energies for Z = 57 to 71 in which some unsuspected effects appear to occur when the 4f shell is opened, half filled and closed.