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It is shown that the eikonal scattering phase shift and the total eikonal-Glauber scattering cross-section increase with increasing charge number $Z$ of the nucleus of the target atom. Monneau We are interested in the effect of a constant electric field on the electronic structure of a crystal. The result shows that the effective atomic charge would be the same as the case of the net nuclear charge for the large momentum transfer domain and becomes zero without momentum transfer due to the influence of bound atomic electrons. Screening of an Applied Electric Field Inside a Metallic Layer Described by the Thomas-Fermi-von Weizscker Model. phenomenologically subsumed in a constant. finally, thomas-fermi model assumes electrons in equilibrium, meaning total chemical potential same points. (this length corresponds few atoms in metals.) electrons in equilibrium, nonlinear equation. This differs from Thomas-Fermi as the screening cloud oscillates in density. nevertheless, thomas-fermi model reasonably accurate approximation long potential not vary on lengths comparable or smaller 1 / kf. Salisa Dipartimento di Fisica - Universita di Cagliari- Cittadella Universitaria, 09042 Monserrato-Cagliari, Italy Abstract - The in-plane static screening of the eld originated by a charge. Theories that are self-consistent or are mean-field are non- perturbative. The eikonal-Glauber method is employed to obtain the analytic expressions for the effective atomic charge, the scattering phase shift and the atomic cross-section in terms of the atomic form factor and the Mott–Massey screening parameter. arXiv:cond-mat/0701108v2 cond-mat.other Thomas-Fermi Screening in Graphene M. We have derived the universal eikonal-Glauber Thomas–Fermi model for atomic collision cross-sections with many-electron atoms, such as iron and tungsten atoms, including the influence of atomic screening in fusion devices and plasma technologies.