Calculation of the correlation, relativistic and QED corrections to the total electron binding energy in atoms and their nuclear charge dependence

TL;DR

This paper provides highly accurate relativistic many-body calculations of total electron binding energies for neutral atoms up to element 120, including correlation, relativistic, and QED corrections, with analytical fits and dependence on nuclear charge.

Contribution

It introduces advanced calculations of atomic binding energies for a wide range of elements, surpassing existing data accuracy and including detailed correction dependencies.

Findings

Binding energies calculated for Z up to 120.

Dependence of corrections on nuclear charge Z determined.

Results exceed accuracy of existing NIST data for 17<Z≤105.

Abstract

We present relativistic many-body calculations of total electron binding energy of neutral atoms up to element $Z=120$. Binding energy for ions may be found by subtracting known ionization potentials. Accuracy of the results for $17<Z \le105$ significantly exceeds that in NIST tables (there are no data for $Z>105$ there). We fit numerical results for binding energies by analytical function of $Z$. We also calculate numerical values and determine dependence on $Z$ of the correlation corrections, Dirac and Breit relativistic corrections and quantum electrodynamics (QED) corrections.