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The theory of morphotropic phase transition in PbZr1 − x Ti x O3

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The concept of the mechanism of formation of morphotropic boundaries in T−x phase diagrams of solid solutions of complex oxides with the perovskite structure has been formulated. This concept is illustrated by calculation of the conditions for existence of morphotropic phase transition in a quasy-binary solid solution of the PbZr1 − x Ti x O3 and (1 − x)PbMg1/3Nb2/3O3 + xPbTiO3 compositions.

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References

  1. Smolenskii, G.A., Bokov, V.A., Isupov, V.A., Krainik, N.N., Pasynkov, R.E., and Shur, M.S., Segnetoelektriki i antisegnetoelektriki (Ferroelecrics and Antiferroelectrics), Leningrad: Nauka, 1971.

    Google Scholar 

  2. Bellaiche, L., Garcia, A., and Vanderbilt, D., Phys. Rev. Lett., 2000, vol. 84, no. 23, p. 5427.

    Article  ADS  Google Scholar 

  3. Souza Filho, A.G., Lima, K.C.V., and Ayala, A.P., Phys. Rev. B: Condens. Matter Mater. Phys., 2001, vol. 61, no. 21, p. 283.

    Google Scholar 

  4. Ranjan, R., Ragini, Mishra, S.K., and Pandey, D., Phys. Rev. B: Condens. Matter Mater. Phys., 2002, vol. 65, 060 102.

    Google Scholar 

  5. Gufan, Yu.M., Fiz. Tverd. Tela (Leningrad), 1971, vol. 13, no. 1, p. 225 [Sov. Phys. Solid State (Engl. Transl.), vol. 13, no. 1, p. 284].

    Google Scholar 

  6. Gufan, Yu.M. and Sakhnenko, V.P., Zh. Eksp. Teor. Fiz., 1975, vol. 69, no. 4, p. 1428 [Sov. Phys. JETP (Engl. Transl.), vol. 42, no. 4, p. 728].

    Google Scholar 

  7. Sakhnenko, V.P. and Talanov, V.M., Fiz. Tverd. Tela (Leningrad), 1979, vol. 21, p. 2435 [Sov. Phys. Solid State (Engl. Transl.), vol. 21, p. 1401].

    Google Scholar 

  8. Gufan, Yu.M., Strukturnye fazovye perekhody (Structural Phase Transitions), Moscow: Nauka, 1982.

    Google Scholar 

  9. Landau, L.D. and Lifshitz, E.M., Teoreticheskaya fizika, T. 5, Ch. 1: Statisticheskaya fizika (Theoretical Physics, vol. 5, part 1: Statistical Physics), Moscow: Nauka, 1976.

    Google Scholar 

  10. Devonshire, A.F., Philos. Mag., 1949, vol. 40, p. 1040.

    Google Scholar 

  11. Torgashev, V.I. Shirokov, V.B., et al., Phys. Rev. B: Condens. Matter Mater. Phys., 2006, vol. 73, 104 116.

    Google Scholar 

  12. Gufan, K.Yu., Fiz. Tverd. Tela (St. Petersburg), 2005, vol. 47, no. 3, 445.

    Google Scholar 

  13. Gufan, K.Yu., Klimova, E.N., Kolesova, R.V., and Kupriyanov, M.F., Izv. Akad. Nauk, Ser. Fiz., 2004, vol. 68, no. 8, p. 1220.

    Google Scholar 

  14. Gufan, K.Yu., Rumyantseva, V.V., and Stryukov, M.B., Izv. Akad. Nauk, Ser. Fiz., 2006, vol. 70, no. 7, p. 1025.

    Google Scholar 

  15. Guggenheim, E.A., Faraday Soc., 1937, vol. 33, p. 151.

    Article  Google Scholar 

  16. Smirnova, N.A., Molekulyarnaya teoriya rastvorov (Molecular Theory of Solutions), Leningrad: Khimiya, 1987.

    Google Scholar 

  17. Sergienko, I.A., Gufan, Yu.M., and Urazhdin, S., Phys. Rev. B: Condens. Matter Mater. Phys., 2002, vol. 65, no. 14, 144 104.

    Google Scholar 

  18. Gufan, A.Yu., Fiz. Tverd. Tela (St. Petersburg), 2006, vol. 48, no. 2, p. 328 [Phys. Solid State (Engl. Transl.), vol. 48, no. 2, p. 348]; Fiz. Tverd. Tela (St. Petersburg), 2006, vol. 48, no. 3, p. 518 [Phys. Solid State (Engl. Transl.), vol. 48, no. 3, p. 557]; Kristallografiya, 2004, vol. 49, no. 3, p. 515 [Crystallogr. Rep. (Engl. Transl.), vol. 49, no. 3, p. 450]; Izv. Akad. Nauk, Ser. Fiz., 2005, vol. 69, no. 7, p. 971; Izv. Akad. Nauk, Ser. Fiz., 2006, vol. 70, no. 7, p. 959.

    Google Scholar 

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Correspondence to M. A. Gufan.

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Original Russian Text © M.A. Gufan, A.Yu. Gufan, K.Yu. Gufan, 2008, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2008, Vol. 72, No. 4, pp. 562–568.

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Gufan, M.A., Gufan, A.Y. & Gufan, K.Y. The theory of morphotropic phase transition in PbZr1 − x Ti x O3 . Bull. Russ. Acad. Sci. Phys. 72, 529–536 (2008). https://doi.org/10.3103/S1062873808040242

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  • DOI: https://doi.org/10.3103/S1062873808040242

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