Skip to main content
Log in

Analysis of the Interrelationship Between Melting and Fracturing of Alkali Halides

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

On the basis of the lattice potential energy with two forms proposed by Born–Mie and Born–Mayer, respectively, the critical interionic separations \({{ r}}_{\mathrm{i}}\) where the lattice is fractured due to tensile force have been evaluated for alkali metal halides. The theoretical results are analyzed together with the interionic separations \({{ r}}_{\mathrm{m}}\) determined by the melting temperature and the help of the isobaric equation of state. A new and simple interrelationship between \({{ r}}_{\mathrm{m}}\) and \({{ r}}_{\mathrm{i}}\) is obtained, and the crystal melting behavior can be accordingly predicted for NaCl-structure ionic crystals.

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.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. O.L. Anderson, Equation of State of Solids for Geophysical and Ceramic Science (Oxford University, New York, 1995)

    Google Scholar 

  2. A.R. Ubbelohde, The Molten State of Matter: Melting and Crystal Structure (Wiley, New York, 1978)

    Google Scholar 

  3. J. Ganguly, Thermodynamics in Earth and Planetary Sciences (Springer-Verlag, Berlin, 2008)

    Book  Google Scholar 

  4. Y. Zou, L.R. Chen, Phys. Status Solidi B 242, 2412 (2005)

    Article  ADS  Google Scholar 

  5. C.T. Seagle, D.L. Heinz, A.J. Campbell, V.B. Prakapenka, S.T. Wanless, Earth Planet. Sci. Lett. 265, 655 (2008)

    Article  ADS  Google Scholar 

  6. S. Arafin, R.N. Singh, Appl. Phys. A. 117, 1055 (2014)

    Article  Google Scholar 

  7. R.S. Chauhan, C.P. Singh, Phys. B 324, 151 (2002)

    Article  ADS  Google Scholar 

  8. L.J. Dunne, J.N. Murrell, G. Manos, Chem. Phys. Lett. 456, 162 (2008)

    Article  ADS  Google Scholar 

  9. F.D. Murnaghan, Proc. Natl. Acad. Sci. (USA) 30, 244 (1944)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. F. Birch, Phys. Rev. B 71, 809 (1947)

    Article  ADS  MATH  Google Scholar 

  11. F. Birch, J. Geophys. Res. 57, 227 (1952)

    Article  ADS  Google Scholar 

  12. R. Grover, I.C. Getting, G.C. Kennedy, Phys. Rev. B 7, 567 (1973)

    Article  ADS  Google Scholar 

  13. M. Kumari, N. Dass, J. Phys. Condens. Matter 2, 3219 (1990)

    Article  ADS  Google Scholar 

  14. M. Kumari, N. Dass, J. Phys. Condens. Matter 2, 7819 (1990)

    Google Scholar 

  15. M. Kumari, N. Dass, J. Phys. Condens. Matter 23, 4099 (1991)

    Article  ADS  Google Scholar 

  16. F.D. Stacey, Geophys. J. Int. 143, 621 (2000)

    Article  ADS  Google Scholar 

  17. G.L. Cui, R.L. Yu, L.R. Chen, Phys. B 348, 404 (2004)

    Article  ADS  Google Scholar 

  18. M. Born, K. Huang, Dynamical Theory of Crystal Lattices (Oxford University, New York, 1954)

    MATH  Google Scholar 

  19. Z.H. Fang, Phys. Status Solidi B 241, 2886 (2004)

    Article  ADS  Google Scholar 

  20. Q. Liu, L.R. Chen, Can. J. Phys. 83, 653 (2005)

    Article  ADS  Google Scholar 

  21. B. Sharan, S. Prakash, Indian J. Pure Appl. Phys. 5, 442 (1967)

    Google Scholar 

  22. B. Sharan, S. Prakash, Indian J. Pure Appl. Phys. 7, 301 (1969)

    Google Scholar 

  23. S. Prakash, Indian J. Pure Appl. Phys. 21, 148 (1983)

    Google Scholar 

  24. F.A. Lindemann, Phys. Z. 11, 609 (1910)

    MATH  Google Scholar 

  25. L.R. Chen, Q.H. Chen, Chin. Phys. Lett. 7(6), 280 (1990)

    Article  ADS  Google Scholar 

  26. J. Shanker, M. Kumar, Phys. Status Solidi B 158, 11 (1990)

    Article  ADS  Google Scholar 

  27. F.D. Stacey, Rep. Prog. Phys. 68, 341 (2005)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

One of the authors Zou would like to thank X. B. Tang and X. L. Wang of the Anhui University of Technology for their technical help on this paper and C. M. Xie of the Anhui University for useful discussions. Thanks are also due to Prof. L. R. Chen of the Anhui Normal University for his guidance. This work was supported by National Natural Science Foundation of China (Grant No. 51276089).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hulin Huang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zou, Y., Huang, H. & Cui, G.L. Analysis of the Interrelationship Between Melting and Fracturing of Alkali Halides. Int J Thermophys 36, 1569–1576 (2015). https://doi.org/10.1007/s10765-015-1896-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10765-015-1896-1

Keywords

Navigation