Thomas fermi screening constant values
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The assumption that the charge carriers (electrons) can respond at any wavevector is just an approximation.
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In real metals, the screening effect is more complex than described above in the Fermi-Thomas theory. It manifests itself on macroscopic scales by a sheath (Debye sheath) next to a material with which the plasma is in contact. In plasma physics, electric-field screening is also called Debye screening or shielding. In atomic physics, a germane effect exists for atoms with more than one electron shell: the shielding effect. If the background is made up of positive ions, their attraction by the electron of interest reinforces the above screening mechanism. For a plasma, this effect can be made explicit by an N-body calculation (see section 5 of ).
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Only at short distances, inside the hole region, can the electron's field be detected. Viewed from a large distance, this screening hole has the effect of an overlaid positive charge which cancels the electric field produced by the electron. This region can be treated as a positively charged 'screening hole'. Consequently, this electron will repel other electrons creating a small region around itself in which there are fewer electrons. According to Coulomb's interaction, negative charges repel each other. Each electron possesses a negative charge. Consider a fluid composed of electrons moving in a uniform background of positive charge (one-component plasma).