Skip to main content
Log in

A new method of calculation of the melting temperatures of crystals of Group 1A metal halides and francium metal

  • Theoretical Inorganic Chemistry
  • Published:
Russian Journal of Inorganic Chemistry Aims and scope Submit manuscript

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 temperature 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 ɛ: T m = f(U, ɛ). The average error of determination of T m 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 temperature of francium has been calculated to be 24.861 ± 0.517°C.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Concise Chemical Encyclopedia (Sovetskaya entsiklopediya, Moscow, 1182), Vol. 4 [in Russian].

  2. A. G. Morachevskii and I. B. Sladkov, Physicochemical Properties of Inorganic Molecular Compounds (Experimental Data and Calculation Methods) (Khimiya, St. Petersburg, 1966) [in Russian].

    Google Scholar 

  3. Chemical Encyclopedia (Bol’shaya Rossiiskaya entsiklopediya, Moscow, 1992), Vol. 3, p. 639 [in Russian].

  4. A. G. Morachevskii and I. B. Sladkov, Thermodynamic Calculations in Metallurgy (Metallurgiya, Moscow, 1985) [in Russian].

    Google Scholar 

  5. E. V. Khamskii, Crystalline Substances and Products. Methods of Evaluation and Improvement of Properties (Khimiya, Moscow, 1986) [in Russian].

    Google Scholar 

  6. S. A. Mamulov, Methods of Calculation of Crystal Lattice Energies (Stalinsk, 1961), p. 191. [in Russian]

    Google Scholar 

  7. V. S. Urusov, Energetic Crystal Chemistry (Nauka, Moscow, 1975) [in Russian].

    Google Scholar 

  8. G. V. Samsonov and O. I. Shulishova, High-Temperature Inorganic Compounds (Naukova Dumka, Kiev, 1965), p. 116 [in Russian].

    Google Scholar 

  9. V. V. Oshchapovskii, Russ. J. Gen. Chem. 78(4), 532 (2008).

    Article  CAS  Google Scholar 

  10. M. Kh. Karapet’yants and S. I. Drakin, Structure of Matter (Vysshaya shkola, Moscow, 1970) [in Russian].

    Google Scholar 

  11. M. Tosi, Solid State Phys. 16, 1 (1964).

    CAS  Google Scholar 

  12. R. D. Shannon, Acta Crystallogr. Sect. A 32 (1976).

  13. www.webelements.com

  14. L. Pauling, The Nature of the Chemical Bond and the Structure of Molecules and Crystals (Cornell University Press: Ithaca, 1939; Goskhimizdat, Moscow, 1947).

    Google Scholar 

  15. Chemical Encyclopedia (Sovetskaya entsiklopediya, Moscow, 1988), Vol. 1 [in Russian].

  16. A. K. Lavrukhina and A. A. Pozdnyakov, Analytical Chemistry of Technetium, Prometium, Astatine, and Francium (Nauka, Moscow, 1966) [in Russian].

    Google Scholar 

  17. Physical Encyclopedia (Bol’shaya Rossiiskaya entsiklopediya, Moscow, 1998), Vol. 5 [in Russian].

  18. Concise Chemical Encyclopedia (Sovetskaya entsiklopediya, Moscow, 1182), Vol. 5 [in Russian].

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Oshchapovskii.

Additional information

Original Russian Text © V.V. Oshchapovskii, 2014, published in Zhurnal Neorganicheskoi Khimii, 2014, Vol. 59, No. 6, pp. 738–745.

Part IV. See V.V. Oshchapovskii, Russ. J. Gen. Chem. 78, 532 (2008); Russ. J. Inorg. Chem. 55, 401 (2010); Russ. J. Inorg. Chem. 57, 211 (2012).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Oshchapovskii, V.V. A new method of calculation of the melting temperatures of crystals of Group 1A metal halides and francium metal. Russ. J. Inorg. Chem. 59, 561–567 (2014). https://doi.org/10.1134/S0036023614060163

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0036023614060163

Keywords

Navigation