Electrostatic shielding effect of ground state energy of metallic elements and non-metallic elements

TL;DR

This paper investigates how electrostatic shielding influences the ground state energy of elements by applying advanced quantum approximations and dielectric models, providing insights into material properties and potential experimental applications.

Contribution

It introduces a method to incorporate electrostatic shielding effects into ground state energy calculations using Thomas-Fermi and correlation energy models.

Findings

Electrostatic shielding significantly affects ground state energies.

The approach improves accuracy of energy calculations for elements.

Potential applications in SIM experiments are suggested.

Abstract

The ground state energy is great importance for studying the properties of a material. In this study, we computed both the Hartree-Fock approximation and the random phase approximation of the ground state energy. Considering the effect of the electrostatic shielding potential, we utilized the Thomas-Fermi dielectric function to obtain the Thomas-Fermi formula for the total potential energy. We subsequently calculated the total potential energy of the metallic and non-metallic elements in the periodic table using Wigner correlation energy and Hedin-Lundqvist correlation energy, considering the changes in the correlation energies after considering electrostatic shielding effects.The exchange correlation potential including electrostatic shielding effect can be used in the measurement of SIM experiments.