Evidence for Energy Regularity in the Mendeleev Periodic Table

TL;DR

This paper demonstrates that atomic energies across the periodic table follow a q-exponential pattern, revealing an underlying regularity in atomic energy distribution explained by atomic configuration minimization.

Contribution

It introduces the novel finding that atomic energies follow a q-exponential distribution, linking energy regularity to atomic configuration arrangements.

Findings

Atomic energies follow a q-exponential dependence on atomic number.

The pattern applies to almost all elements in the periodic table.

The energy distribution pattern is explained by atomic configuration minimization.

Abstract

We show that the dependence of the total energy of the atoms on their atomic number follows a q-exponential (function proposed by C. Tsallis), for almost all elements of the periodic table. The result is qualitatively explained in terms of the way the atomic configurations are arranged to minimize energy.