Abstract

There is a linear characteristic and a common nonlinear characteristic in the energy differences associated with many lanthanide and actinide electronic configurations involving a change of the number of f electrons by one. The differences of energy, ΔdE(q), between the lowest energy levels of the two principal electron configurations in the gaseous atoms of the lanthanide and actinide series exemplify these characteristics. By assuming that the common nonlinear characteristic involves only electrostatic and spin–orbit interaction-energy differences between the parent f-electron core configurations, we obtain linearization functions—one for the lanthanide series and one for the actinide series— which linearize the ΔdE(q) data. These same linearization functions are found to be applicable to the energy differences between most electronic configurations involving the same number of f electrons, including the neutral, the singly, the doubly, and the triply ionized gaseous lanthanides and actinides, independent of the nature or number of valence electrons.

© 1974 Optical Society of America

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