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METAL THOMAS FERMI SCREENING LENGTH FREE
How much larger would the Coulomb repulsic be at the second nearest neighbor separation distance if the screening effect of the free carriers with Thomas-Fermi screening length rte0.538 Å would be absent.
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The static dielectric polarizability is found and the size dependence of the surface plasmon frequencies are then determined from sum rule calculations. Consider a BCC metal with lattice parameter a4.72 Å. 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. The Thomas–Fermi wavevector (in Gaussian-cgs units) is k 0 2 = 4 π e 2 ∂ n ∂ μ, which has a maximum relative error of < 2.3%. The dielectric response of a small metal particle to a perturbing potentialv L r L Y LM e it is considered within the random phase approximation (RPA). It is named after Llewellyn Thomas and Enrico Fermi. It is a special case of the more general Lindhard theory in particular, Thomas–Fermi 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. Thomas–Fermi screening is a theoretical approach to calculate the effects of electric field screening by electrons in a solid.