Abstract

A three-parameter variational wave function is used to describe the binding energy of alkali—metal negative ions using a two-electron system in the ns2-state. Each electron is described by a modified screened hydrogenic wave function involving two free screening parameters denoted by c and a in addition to the core-screened nuclear charge, \(\mathop {\text{Z}}\limits^{\text{*}}\). The model is applied to lithium, sodium, potassium, rubidium, and cesium anions, where the optimum values of the variational parameters are deduced through fitting the optimized energy to the available experimental values. It is also applied to group-II isoelectronic neutral atoms of Be, Mg, Ca, Sr, and Ba. The results of our calculation are compared with other two-electron methods.

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