Abstract
The Poisson equation is solved by the Green's function method. A nonstandard approach is used in the calculation of the potential of the electron cloud. It is shown that the lattice contribution to the electron density is given by a universal function of distance. The potential is determined in the whole unit cell and has an expression convenient for practical realization. The corresponding formulas are easily generalized to complex crystals.
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References
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Additional information
Altai State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 35–39, May, 1995.
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Nazhalov, A.I. New form for the Coulomb potential in crystals. Russ Phys J 38, 465–469 (1995). https://doi.org/10.1007/BF00559300
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DOI: https://doi.org/10.1007/BF00559300