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Based on a simplest molecular orbital theory of H_2^+, a three-parameter model potential function is proposed to describe ground-state diatomic systems with closed-shell and/or S-type valence-shell constituents over a significantly wide range of internuclear distances. More than 200 weakly and strongly bound diatomics have been studied, including neutral and singly-charged diatomics (e.g., H_2, Li_2, LiH, Cd_2, Na_2^+, and RbH^-), long-range bound diatomics (e.g., NaAr, CdNe, He_2, CaHe, SrHe,doi:10.1103/physrevlett.95.263202 pmid:16486350 fatcat:pxvpbixwgfgrpfilisgtlhbzry