Hard-sphere radii for the generalized Lindemann criterion

S. Rabinovich The Minerva Center for Fractals, Mesoscopics, and Neural Networks, and Department of Physics, Bar-Ilan University, 52900, Ramat-Gan, Israel

E. Brook–Levinson Department of Materials Engineering, Technion—Israel Institute of Technology, 32000, Haifa, Israel

E. Zilberman Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel-Aviv University, 69978, Ramat-Aviv, Israel

A. Voronel Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel-Aviv University, 69978, Ramat-Aviv, Israel

Abstract

We suggest a simple ad hoc, criterion for hard-sphere radius determination. The set of alkali halide radii calculated is compared with that obtained from a fitting procedure described elsewhere. The deviation does not exceed 10% for the most of elements. The method makes use of a radial distribution function (RDF) for alkali halide crystals. For the first time, we present a simple analytic expression for the RDF of such a system. The RDF calculation employs semiempirical potentials to describe effective ionic interactions.

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Hard-sphere radii for the generalized Lindemann criterion

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Hard-sphere radii for the generalized Lindemann criterion

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