A new physical model for determining the parameters of the two-parameter pseudopotential based on the Heine-Abarenkov approach is proposed, which in fact made it possible to pass to the one-parameter pseudopotential. The pseudopotential parameters are determined for atoms and ions of the second and third periods and Sr II ion. It is shown that the proposed two-parameter pseudopotential with determined parameters allows calculation of the position of excited one-electron levels of ions with good accuracy.