Electrostatic shielding effect and dynamic process of potential energy of metallic and nonmetallic elements

The ground-state energy is crucial for studying the properties of a material. In this study, we computed both the Hartree–Fock and random phase approximations of the ground state energy of metals and nonmetals. 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 calculated the total potential energy of the elements using the Wigner and Hedin–Lundqvist correlation energies, considering the changes in them after the electrostatic shielding effect. The exchange correlation potential, including electrostatic shielding effect, can be used in the measurement of scanning impedance microscopy experiments. Furthermore, we consider the dynamic process with respect to the change in the potential energy.