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Simulation of ionic crystals: calculation of Madelung potentials for stabilized zirconia

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Abstract

By assuming complete ionicity, a theoretical study of structure and energetics in zirconias stabilized by the addition of Y2O3 or MgO, has been reported. The simulation was carried out using the Ewald summation technique. The results indicate that the cubic structures of these ionic crystals are metastable and they transform without an energy barrier to a pseudomonoclinic or tetragonal structure.

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References

  1. B. G. Hyde andS. Anderson, “Inorganic crystal structures” (Wiley, New York, 1988).

    Google Scholar 

  2. D. Stell andB. E. F. Fender,J. Phys. C 7 (1974) 1.

    Article  Google Scholar 

  3. J. Faber Jr., M. H. Mueller andB. R. Cooper,Phys. Rev. B17 (1978) 4884.

    Article  Google Scholar 

  4. M. Morinaga, J. B. Cohen andJ. Faber Jr,Acta Crystallogr. A35 (1979) 789.

    Article  CAS  Google Scholar 

  5. R. E. Carter andW. L. Roth, “EMF measurement in high temperature systems” (The Institute of Mining and Metallurgy, New York, 1968) p. 125.

    Google Scholar 

  6. H. Hiroyuki, A. J. Schultz, P. Leung andJ. M. Williams,Acta Crystallogr. B40 (1984) 367.

    Google Scholar 

  7. E. Francisco, V. Luaña, J. M. Recio andL. Pueyo,J. Chem. Ed. 65 (1988) 6.

    Article  CAS  Google Scholar 

  8. E. L. Burrow andS. F. A. Kettle,ibid. 52 (1975) 58.

    Article  Google Scholar 

  9. M. P. Tosi, “Solid state physics: advances in research and applications”, Vol. 16, edited by F. Seitz and D. Turnbull (Academic Press, New York, 1956).

    Google Scholar 

  10. P. P. Ewald,Ann Phys. 64 (1921) 253. A mathematical and physical description of this method has been reported by C. Kittel in “Introduction to solid state physics”, Appendix A (Wiley, New York, 1956).

    Article  Google Scholar 

  11. M. P. Allen andD. J. Tildesley, “Computer simulation of liquids” (Clareton Press, Oxford, 1989).

    Google Scholar 

  12. A. G. Piken andW. Van Gool, Ford Technical Report SL, 68 (1968) 10.

    Google Scholar 

  13. L. Pueyo andJ. W. Richardson,J. Chem. Phys. 67 (1977) 3583.

    Article  CAS  Google Scholar 

  14. A. Beltran, J. Andres andV. Moliner,J. Chem. Ed. (1994) submitted.

  15. C. J. Howard, R. J. Hill andB. E. Reichert,Acta Crystallogr. B44 (1988) 116.

    Article  CAS  Google Scholar 

  16. G. Monrós, J. Carda, M. A. Tena, P. Escribano andJ. Alarcón,J. Mater. Sci. 27 (1992) 351.

    Article  Google Scholar 

  17. Idem,,Br. Ceram Trans. 90 (1991) 157.

    Google Scholar 

  18. P. Vieillard,Acta Crystallogr. B43 (1987) 513.

    Article  CAS  Google Scholar 

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Andrés, J., Beltrán, A., Moliner, V. et al. Simulation of ionic crystals: calculation of Madelung potentials for stabilized zirconia. J Mater Sci 30, 4852–4856 (1995). https://doi.org/10.1007/BF01154494

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  • DOI: https://doi.org/10.1007/BF01154494

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