A New Method of Calculation of the Melting Temperatures
of Crystals of Group 1A Metal Halides and Francium Metal
1

V. V. Oshchapovskii

Lviv State University of Safety of Vital Activity, ul. Kleparovskaya 35, Lviv, 79007 Ukraine

e-mail: oshchapovsky@yahoo.com

Received August 14, 2012

Abstract—A new method of calculation of melting temperatures of binary ionic crystals has been suggested.
The method is based on finding a matrix relation between the ionic radii (the lattice energy U) and melting tem-
perature of ionic crystals of the MX type, where M is a Group 1A metal, and X is a halogen. From the equation
for the lattice energy U, a new equation has been derived for calculation of the melting temperature of ionic
crystals with the use of only the ionic radii and the degree of bond ionicity : Tm = f(U, ). The average error of
determination of Tm for alkali-metal halides is 2.80%. The melting temperatures of francium halides and alkali-
metal astatides (including FrAt) have been calculated. It has been shown that the accuracy of calculation of the
melting temperature of ionic crystals depends on the degree of bond ionicity: the error increases with an
increase in the covalent contribution. On the basis of the melting temperatures of metal halide crystals, a method
has been developed for the calculation of the melting temperatures of corresponding metals. The melting tem-
perature of francium has been calculated to be 24.861 ± 0.517C.

DOI: 10.1134/S0036023614060163


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