![thomas fermi screening length thomas fermi screening length](https://www.researchgate.net/profile/Renato-Pucci/publication/2175991/figure/fig2/AS:646808292302868@1531222522917/Thomas-Fermi-screening-factor-ph-for-the-self-consistent-potential-of-the-Ne-ion-Z.png)
These calculations provide a simple interpretation for the surface energy in terms of image charges, which allows for an estimation of the interfacial properties in more complex situations of a disordered ionic liquid close to a metal surface. Furthermore, we use this framework to calculate analytically the electrostatic contribution to the surface energy of a one dimensional crystal at a metallic wall and its dependence on the Thomas-Fermi screening length. We propose workable approximations suitable for molecular simulations of ionic systems close to metallic walls. nuclear collision by the Thomas-Fermi screened Coulomb potential by adjusting the screening length to experiment. In this paper we build upon a previous approach and successive works to calculate the 1-body and 2-body electrostatic energy of ions near a metal in terms of the Thomas-Fermi screening length. This situation is usually accounted for by the celebrated image charges approach, which was further extended to account for the electronic screening properties of the metal at the level of the Thomas-Fermi description. For electron densities approaching zero also the screening parameter goes to zero. For high electron density, the Thomas-Fermi screening length is short, indicating strong electron screening. The screening length strongly depends on the electron density. 1 It is named after Llewellyn Thomas and Enrico Fermi. The inverse of the screening parameter 1 ks 1 k s is called Thomas-Fermi screening length. The electrostatic interaction between two charged particles is strongly modified in the vicinity of a metal. It is a special case of the more general Lindhard theory in particular, ThomasFermi screening is the limit of the Lindhard formula when the wavevector (the reciprocal of the length-scale of interest) is much smaller than the fermi wavevector, i.e.