On the interpolation formula for the bound state energies of atomic systems

Alexei M. Frolov

doi:10.1007/s10910-015-0544-0

On the interpolation formula for the bound state energies of atomic systems

Atomic Physics 2015-09-09 v4 Atomic and Molecular Clusters

Authors: Alexei M. Frolov

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Abstract

By using results of highly accurate computations of the total energies of a large number of few-electron atoms we construct a few interpolation formulas which can be used to approximate the total energies of bound atomic states. In our procedure the total energies of atomic states $E$ are represented as a function of the electric charge of atomic nucleus $Q$ and the total number of bound electrons $N_e$ . Some general properties of the $E(Q, N_e)$ function are investigated. The knowledge of the $E(Q, N_e)$ function allows one to determine the total (and binding) energies of these states in arbitrary atoms and ions with different $Q$ and $N_e$ .

Keywords

atomic systems bound state energies interpolation formula few-electron atoms total energy nuclear charge binding energy

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@article{arxiv.1502.01775,
  title  = {On the interpolation formula for the bound state energies of atomic systems},
  author = {Alexei M. Frolov},
  journal= {arXiv preprint arXiv:1502.01775},
  year   = {2015}
}

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J. Math. Chem. (2015)

On the interpolation formula for the bound state energies of atomic systems

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