Abstract
An elementary method (the so-called “chain method”) [1] is applied to the evaluation of the Madelung constant of crystal lattices both of the NaCl and the CsCl-type. The binding energies are summed up over suitably chosen cylinder shells resulting in very good approximate values for the Madelung constant. The Madelung constants both of CaF2 and ZnS-type lattices are determined from linear relations given byBenson andvan Zeggeren [2].
Резюме
Соответствующим применением цепного метода автором вычисляется постоянная Маделунга для решёток NaCl и CsCl. На основе этих результатов, используя линейные зависимости Бензона и Цеггерена, определяется значение постоянной Маделунга для решёток CaF2 и ZnS.
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References
F. Fáthy andF. Bukovszky, Acta Phys. Hung.,8, 89, 1957;9, 275, 1959.
G. C. Benson andF. van Zeggeren, J. Chem. Phys.,26, 1083, 1957.
E. Madelung, Phys. Zs.,19, 524, 1918.
W. Kossel, Die molekularen Vorgänge beim Kristallwachstum, Leipziger Vorträge, Hirzel, Leipzig, 1928.H. E. Buckley, Crystal Growth, John Wiley and Sons, New York, 1951.
F. C. Frank, Phil. Mag.,41, 1287, 1950.
O. Emersleben, Der Wert der Madelungkonstanten des Steinsalzgitters. Kritische Zusammenfassung. Wiss. Zs. d. Univ. Greifswald, III, 607, 1953/54.Y. Sakamoto, J. Sci. Hiroshima Univ. Ser. A.,16, 569, 1953.
R. Hoppe, Z. Anorg. Allgem. Chem.,283, 196, 1956.
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Bukovszky, F. Elementary calculations of the Madelung constants of some cubic lattices. Acta Physica 18, 157–172 (1965). https://doi.org/10.1007/BF03156696
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DOI: https://doi.org/10.1007/BF03156696