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ABSTRACT:With the introduction of the concept of the iso-spectrum-level series, a linear relationship is found between the first differences of the ionization potential of excited states and nuclear charge Z along an iso-spectrum-level series, and the ionization potential of excited states of Be-like sequence are studied systematically on the basis of the weakest bound electron potential model theory. The expression of nonrelativistic ionization potential is derived from the weakest bound electron potential model theory, and relativistic effects are included by using a fourth-order polynomial in Z. As a demonstration, the ionization potentials of [He]

Excited-state ionization potentials for boron-like sequence with Z ϭ 5-19 are studied systematically, using the weakest bound electron potential model theory (WBEPM theory) and iso-spectrum-level series conception. Nonrelativistic ionization energy is derived from the theory.