Abstract
The integral equations for calculating ferroelectric and antiferroelectric phase transition temperatures, order parameters, and critical concentrations of solid solution components are derived. The electric dipoles randomly distributed in the system are treated as sources of random fields. The random field distribution function is constructed taking into account the contribution of nonlinear effects and the differences in the dipole orientations for different solid solution components. The dependence of the phase transition temperature on the composition of a binary solid solution in the ferroelectric-antiferroelectric and ferroelectric-paraelectric systems is calculated. Numerical calculations are carried out for the PbTixZr1−x O3 and BaZrxTi1−x O3 solid solutions. The results obtained are in good agreement with the experimental phase diagrams of these systems. Analysis of the results indicates that any solid solution containing ferroelectric (antiferroelectric) and paraelectric components transforms into a relaxor state at sufficiently high concentrations of the paraelectric component.
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References
J. C. Burfoot and I. G. W. Taylor, Polar Dielectrics and Their Applications (Univ. of California Press, Berkeley, 1979; Mir, Moscow, 1981).
H. W. Gundel, Ferroelectrics 184, 89 (1996).
G. H. Haertling, Ferroelectrics 75, 25 (1987).
W. Känzig, Solid State Phys. 4, 1 (1957); Ferroelectrics and Antiferroelectrics (Inostrannaya Literatura, Moscow, 1960).
M. E. Lines and A. M. Glass, Principles and Applications of Ferroelectrics and Related Materials (Oxford Univ. Press, Oxford, 1977; Mir, Moscow, 1981).
M. J. Haun, E. Furman, S. J. Jang, and L. E. Cross, Ferroelectrics 99, 13 (1989).
R. Farhi, M. El. Marssi, A. Simon, and J. Ravez, Eur. Phys. J. B 9, 599 (1999).
V. A. Stephanovich, M. D. Glinchuk, and L. Jastrabic, cond-mat/9907249 (1999).
V. G. Vaks, Introduction to the Microscopic Theory of Ferroelectrics (Nauka, Moscow, 1973).
M. D. Glinchuk, R. Farhi, and V. A. Stephanovich, J. Phys.: Condens. Matter 9, 10237 (1997).
M. D. Glinchuk, V. G. Grachev, M. F. Deigen, A. B. Roitsin, and L. A. Suslin, Electrical Effects in Radiospectroscopy (Nauka, Moscow, 1981).
M. D. Glinchuk and V. A. Stephanovich, J. Phys.: Condens. Matter 6, 1617 (1994).
B. Jaffe, W. R. Cook, and H. Jaffe, Piezoelectric Ceramics (Academic, New York, 1971; Mir, Moscow, 1974).
M. D. Glinchuk and R. Farhi, J. Phys.: Condens. Matter 8, 6985 (1996).
F. Jona and G. Shirane, Ferroelectric Crystals (Pergamon, Oxford, 1962; Mir, Moscow, 1965).
K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986).
M. D. Glinchuk and V. A. Stephanovich, J. Appl. Phys. 85, 1722 (1999).
V. V. Lemanov, E. P. Smirnova, P. P. Syrnikov, and E. A. Tarakanov, Phys. Rev. B 54(5), 3151 (1996).
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Translated from Fizika Tverdogo Tela, Vol. 43, No. 5, 2001, pp. 882–887.
Original Russian Text Copyright © 2001 by Glinchuk, Eliseev, Stephanovich.
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Glinchuk, M.D., Eliseev, E.A. & Stephanovich, V.A. Calculation of phase diagrams for solid solutions of ferroelectrics. Phys. Solid State 43, 916–922 (2001). https://doi.org/10.1134/1.1371377
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DOI: https://doi.org/10.1134/1.1371377