Hard spheres model of the atom

TL;DR

This paper presents a modified atomic model incorporating finite size effects of electrons and nuclei, showing that hard sphere repulsion reduces 1s orbital energy and causes up to 8% correction in Uranium, with various boundary conditions discussed.

Contribution

It introduces a hard sphere model of the atom accounting for finite size effects and boundary conditions, providing new insights into orbital energy corrections.

Findings

1s orbital energy decreases due to hard sphere repulsion

Corrections up to 8% in Uranium's energy levels

Discussion of boundary condition models

Abstract

The finite size effect of electron and nucleus is accounted for in the model of atom. Due to their hard sphere repulsion the energy of the 1s orbital decreases and the corrections amount up to 8% in Uranium. Several models for boundary conditions on the atomic nucleus surface are discussed as well.