SRX Materials Science

SRX Materials Science / 2010 / Article

Research Article | Open Access

Volume 2010 |Article ID 890650 | 8 pages | https://doi.org/10.3814/2010/890650

Temperature Dependence of Elastic Constants of Alkaline Earth Oxides

Received11 Jul 2009
Revised02 Sep 2009
Accepted22 Sep 2009
Published10 Nov 2009

Abstract

The elastic properties of alkaline earth oxides (AEOs) under high temperature are discussed within the framework of many body Lundqvist potential incorporating the contribution of thermal phonon pressure. The short-range repulsive interaction is taken up to the second nearest neighbors. The derived expressions are used to compute the values of second-order elastic constants (SOECs) and bulk modulus of alkaline earth oxides at different temperatures (300K°–2000K°). The results are found to be satisfactory and are in agreement with available experimental and the theoretical results.

References

  1. D. C. Wallace, in Solid State Physics, H. Ehrenreich, F. Seitz, and D. Turnbull, Eds., vol. 25, pp. 302–404, Academic Press, New York, NY, USA, 1970.
  2. U. C. Shrivastava, “Temperature dependence of the elastic constants of alkali halides,” Physical Review B, vol. 21, no. 6, pp. 2602–2606, 1980. View at: Publisher Site | Google Scholar
  3. U. C. Shrivastava, “Theory of the anomalous temperature dependence of C12 in NaCl-like structure solids direct observation of phonon—lattice interactions,” Physica Status Solidi B, vol. 100, no. 2, pp. 641–649, 1980. View at: Publisher Site | C12%20in%20NaCl-like%20structure%20solids%20direct%20observation%20of%20phonon—lattice%20interactions&author=U. C. Shrivastava&publication_year=1980" target="_blank">Google Scholar
  4. R. K. Varshney and J. Shanker, “Temperature dependences of third-order elastic constants of CsCl, CsBr, and CsI crsystals,” Physica Status Solidi B, vol. 126, no. 1, pp. 77–82, 1984. View at: Publisher Site | Google Scholar
  5. M. Singh, P. P. Singh, M. Kumar, and B. R. K. Gupta, Indian Journal of Physics, vol. 74A, no. 6, pp. 613–616, 2000.
  6. M. Kumar, “Application of high pressure-high temperature equation of state for elastic properties of solids,” Physica B, vol. 311, no. 3-4, pp. 340–347, 2002. View at: Publisher Site | Google Scholar
  7. P. P. Singh and M. Kumar, “Temperature dependence of bulk modulus and second-order elastic constants,” Physica B, vol. 344, no. 1–4, pp. 41–51, 2004. View at: Publisher Site | Google Scholar
  8. I. Suszki, S. Okajima, and K. Seya, “Thermal expansion of single-crystal manganosite,” Journal of Physics of the Earth, vol. 27, no. 1, pp. 63–69, 1979. View at: Google Scholar
  9. O. L. Anderson and D. G. Isaak, Mineral Physics and Crystallography: A Hand Book of Physical Constants, vol. 2, American Geophysical Union, UCLA Press, Los Angeles, Calif, USA, 1995.
  10. P. R. Son and R. A. Bartels, “CaO and SrO single crystal elastic constants and their pressure derivatives,” Journal of Physics and Chemistry of Solids, vol. 33, no. 4, pp. 819–828, 1972. View at: Google Scholar
  11. H. Baltache, R. Khenata, M. Sahnoun, M. Driz, B. Abbar, and B. Bouhafs, “Full potential calculation of structural, electronic and elastic properties of alkaline earth oxides MgO, CaO and SrO,” Physica B, vol. 344, no. 1–4, pp. 334–342, 2004. View at: Publisher Site | Google Scholar
  12. M. P. Tosi, “Cohesion of ionic solids in the born model,” Solid State Physics, vol. 16, pp. 1–120, 1964. View at: Google Scholar
  13. S. O. Lundqvist, Arkiv för Fysik, vol. 6, pp. 25–44, 1952.
  14. S. O. Lundqvist, “On the limiting vibrational frequencies of a cubic ionic lattice,” Arkiv för Fysik, vol. 9, no. 5, pp. 435–456, 1955. View at: Google Scholar
  15. S. O. Lundqvist, “On the lattice vibrations in cubic ionic crystals,” Arkiv för Fysik, vol. 12, no. 3, pp. 263–275, 1957. View at: Google Scholar
  16. S. Gupta and S. C. Goyal, “Pressure derivatives of isothermal bulk modulus of rare gas solids,” Solid State Communications, vol. 126, no. 5, pp. 297–300, 2003. View at: Publisher Site | Google Scholar
  17. S. Gupta and S. C. Goyal, “Effect of temperature on elastic properties of rare gas solids,” Physica B, vol. 352, no. 1–4, pp. 24–35, 2004. View at: Publisher Site | Google Scholar
  18. W. H. Flygare and D. W. Hafemeister, “Calculation and interpretation of the129i isomer shifts in the alkali iodide lattices,” The Journal of Chemical Physics, vol. 43, no. 3, pp. 789–794, 1965. View at: Google Scholar
  19. L. Pauling and Z. Krist, “The sizes of ions and their influence on the properties of salt-like compounds,” Zeitschrift für Kristallographie, vol. 67, pp. 377–404, 1928. View at: Google Scholar
  20. S. P. Singh, S. Gupta, and S. C. Goyal, “Elastic properties of alkaline earth oxides under high pressure,” Physica B, vol. 391, no. 2, pp. 307–311, 2007. View at: Publisher Site | Google Scholar

Copyright © 2010 Seema Gupta et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

110 Views | 0 Downloads | 0 Citations
 PDF  Download Citation  Citation
 Download other formatsMore
 Order printed copiesOrder