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Elementary calculations of the Madelung constants of some cubic lattices

Вычисление постоянной маделунга элементарным путем для нескольких кубических решеток

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Acta Physica Academiae Scientiarum Hungaricae

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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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

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