Abstract
The dependence of the electrostatic energy of closely packed structures of metals on the kind of crystalline lattice is investigated in this paper. The fact of a reciprocal dependence of the Ewald constants is noted in different closely packed structures. On this basis, computational formulas are proposed for the Ewald constants, different from those currently used. It is clarified that the error in a linear approximation does not exceed 9·10−8 and 2·10−8 for a quadratic approximation. This permits their application for specific computations. Structures obtained from closely packed ones by axial compression or tension also possess the same property.
Similar content being viewed by others
Literature cited
W. A. Harrison, Pseudopotentials in the Theory of Metals, Wesley Publishing Co., Reading, MA (1966).
W. Heine, M. Cohen, and D. Weir, Theory of the Pseudopotential [Russian translation], Mir, Moscow (1973).
L. P. Yastrebov and A. A. Katsnel'son, Principles of the Single-Electron Theory of the Solid State [in Russian], Nauka, Moscow (1981).
P. P. Ewald, Ann. Phys.,64, 253 (1921).
K. Fuchs, Proc. R. Soc,A151, 581 (1935).
C. A. Sholl, Proc. Phys. Soc,92, 434 (1967).
F. E. Harris and H. J. Monkhorst, Phys. Rev.,B2, 4400 (1970).
M. I. Darby and G. R. Evans, Phys. Stat. Solidi (a),58, 71 (1980).
N. V. Belov, Structures of Ionic Crystals and Metallic Phases [in Russian], Izd. Akad. Nauk SSSR, Moscow (1947).
W. Pearson, Crystal Chemistry and the Physics of Metals and Alloys. Part I, Wiley, New York (1972).
V. A. Savel'ev, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 1, 105 (1985).
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 78–81, March, 1987.
The author is grateful to Z. A. Matysina for aid in preparing the paper.
Rights and permissions
About this article
Cite this article
Savel'ev, V.A. Method of computing the Ewald constants of closely packed metal structures. Soviet Physics Journal 30, 249–251 (1987). https://doi.org/10.1007/BF00897866
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00897866