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arXiv · 1502.01775

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

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 $N_e$.

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Alexei M. Frolov. 2015-09-07. On the interpolation formula for the bound state energies of atomic systems. https://doi.org/10.1007/s10910-015-0544-0

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