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The ground state energy is great importance for studying the properties of amaterial. In this study, we computed both the Hartree-Fock approximation andthe random phase approximation of the ground state energy. Considering theeffect of the electrostatic shielding potential, we utilized the Thomas-Fermidielectric function to obtain the Thomas-Fermi formula for the total potentialenergy. We subsequently calculated the total potential energy of the metallicand non-metallic elements in the periodic table using Wigner correlation energyand Hedin-Lundqvist correlation energy, considering the changes in thecorrelation energies after considering electrostatic shielding effects.Theexchange correlation potential including electrostatic shielding effect can beused in the measurement of SIM experiments.

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