Potentials for atomic negative ions

For the purpose of astrophysical, aeronomical, and laboratory applications, we seek a precise independent-particle model for electrons in atomic negative ions from $Z=3\mathrm{}$ up to $Z=85\mathrm{}$. We obtain analytic potentials whose inner energy levels are close to the experimental levels of neutral atoms but whose last electron eigenvalue is adjusted so as to be in precise agreement with the electron affinity of negative ions. Systematic trends in the potential parameters are discussed.