Abstract
In this chapter we consider examples of heterogeneous SCs of relaxor-FE SCs and discuss conditions for the stress relief in them. Heterogeneity is associated with overlapping structures (i.e., the presence of two different crystal structures) and transition regions (e.g., narrow bands near domain or interphase boundaries where changes in unit-cell parameters take place). These heterogeneous states differ from those observed in macroscopically large samples at the phase coexistence or at the interaction between polydomain (twinned) regions. In this context, the study of possible versions of the unit-cell variations becomes important for an interpretation of experimental results and broadens knowledge in the field of heterogeneous FE materials.
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Xu G, Zhong Z, Bing Y, Ye Z-G, Stock C, Shirane G, Ground state of the relaxor ferroelectric \(\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}}\). Phys. Rev. B 67:104102–104105 (2003)
Xu G, Hiraka H, Shirane G, Ohwada K, Dual structures in \((1 - x)\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}} - x{\mathrm{PbTiO}}_{3}\) ferroelectric relaxors. Appl. Phys. Lett. 84:3975–3977 (2004)
Xu G, Zhong Z, Bing Y, Ye Z-G, Stock C, Shirane G, Anomalous phase in the relaxor ferroelectric \(\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}}\). Phys. Rev. B 70:064107–6 (2004)
Xu G, Viehland D, Li JF, Gehring PM, Shirane G, Evidence of decoupled lattice distortion and ferroelectric polarization in the relaxor system PMN–xPT. Phys. Rev. B 68:212410–2124114 (2003)
Conlon KH, Luo H, Viehland D, Li JF, Whan T, Fox JH, Stock C, Shirane G, Direct observation of the near-surface layer in \(\mathrm{Pb(M{g}_{1/3}N{b}_{2/3}){O}_{3}}\) using neutron diffraction. Phys. Rev. B 70:172204 (2004)
Noheda B, Cox DE, Shirane G, Gao J, Ye Z-G, Phase diagram of the ferroelectric relaxor \((1 - x)\mathrm{Pb(M{g}_{1/3}N{b}_{2/3}){O}_{3}} - x{\mathrm{PbTiO}}_{3}\). Phys. Rev. B 66:054104–0541010 (2002)
Shuvaeva VA, Glazer AM, Zekria D, The macroscopic symmetry of \(\mathrm{Pb(M{g}_{1/3}N{b}_{2/3}}{)}_{1-x}{\mathrm{Ti}}_{x}{\mathrm{O}}_{3}\) in the morphotropic phase boundary region \((x = 0.25\mbox{ \textendash }0.5)\). J. Phys. Condens. Matter 17:5709–5723 (2005)
Singh AK, Pandey D, Zakharko O, Powder neutron diffraction study of phase transitions in and a phase diagram of \((1 - x)[\mathrm{Pb(M{g}_{1/3}N{b}_{2/3}){O}_{3}}] - x{\mathrm{PbTiO}}_{3}\). Phys. Rev. B 74:024101–0241018 (2006)
Xu G, Zhong Z, Hiraka H, Shirane G, Three-dimensional mapping of diffuse scattering in \(\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}} - x{\mathrm{PbTiO}}_{3}\). Phys. Rev. B 70:174109–1741010 (2004)
Mulvihill ML, Cross LE, Cao W, Uchino K, Domain-related phase transitionlike behavior in lead zinc niobate relaxor ferroelectric single crystals. J. Am. Ceram. Soc. 80:1462–1468 (1997)
Balyunis LE, Topolov VYu, Bah IS, Turik AV, (1993) The S-type domain and twin boundaries in plate-like PbZrO3 crystals having complicated twinned structures. J. Phys. Condens. Matter 5:1419–1426
Topolov VYu, Heterophase states and dual structures in \((1 - x)\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}} - x{\mathrm{PbTiO}}_{3}\) single crystals. Phys. Rev. B 71:134103–1341010 (2005)
Lebon A, Dammak H, Calvarin G, Ould Ahmedou I, The cubic-to-rhombohedral phase transition of \(\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}}\): a high-resolution x-ray diffraction study on single crystals. J. Phys.: Condens. Matter 14:7035–7044 (2002)
Shiflet GJ, Low energy dislocation structures caused by phase transformation. Mater. Sci. Eng. 81:61–100 (1986)
Van der Merwe JH, Misfit dislocation generation in epitaxial layers. Crit. Rev. Solid State Mater. Sci. 17:187–209 (1991)
Jesser WA, Kuhlmann-Wilsdorf D, On the theory of interfacial energy and elastic strain of epitaxial overgrowths in parallel alignment on single crystal substrates. Physica Status Solidi 19:95–105 (1967)
Afonikova NS, Shekhtman VSh, Shmyt’ko IM, Crystal-geometrical aspects of domain and domain complex conjugates and structure memory in BaTiO3. Fizika Tverdogo Tela 27:3201–3207 (In Russian) (1985)
Afonikova NS, Borovikov VV, Shmyt’ko IM, Structure of interphase and interdomain boundaries in KDP. Fizika Tverdogo Tela 29:813–817 (in Russian) (1987)
Malis T, Gleither H, On the structure of the ferroelectric-paraelectric transformation interface in barium titanate. I. Basic structure and characteristics. J. Appl. Phys. 50:4920–4923 (1979)
Malis T, Gleither H, On the structure of the ferroelectric-paraelectric transformation interface in barium titanate. II. Influence of domain boundaries. J. Appl. Phys. 50:4924–4927 (1979)
Bagautdinov BSh, Glushkov VF, Magataev VK, Shmyt’ko IM, Structural aspects of the phase transition in MASD crystals. Fizika Tverdogo Tela 33:3128–3136 (in Russian) (1991)
Ossipyan YuA, Afonikova NS, Parsamyan TK, Shekhtman VSh, Shmyt’ko IM, Structure of boundaries between twins and twin complexes in YBa2Cu3O7 − x single crystals. Piss’ma v ZhETF 47:501–504 (in Russian) (1988)
Shmyt’ko I, Shekhtman V, Ossipyan Yu, Afonikova N, Twin structure and structure of twin boundaries in 1–2–3–O7 − x crystals. Ferroelectrics 97:151–170 (1989)
Hiroi Z, Takano M, Ikeda Y, Takeda Y, Bando Y, (1988) Coherent intergrowth structure of tetragonal and orthorhombic \({\mathrm{B{a}_{2}YC{u}_{3}O}}_{7-x}\) observed by transmission electron microscopy. Jpn. J. Appl. Phys. Pt 2 27:L141–L144
Ossipyan YuA, Afonikova NS, Borodin VA, Chernyshova LI, Shekhtman VSh, Shmyt’ko IM, (1989) Quasitwins in \({\mathrm{HoB{a}_{2}C{u}_{3}O}}_{7-x}\) single crystals. Fizika Tverdogo Tela 31(1):200–204
Topolov VYu, Fesenko EG, Transition regions in \({\mathrm{RB{a}_{2}C{u}_{3}O}}_{7-\delta }\) crystals. Superconduct. Phys. Chem. Technol. 3:927–932 (1990)
Topolov VYu, Rabe H, Schmid H, Mechanical stresses and transition regions in polydomain Pb2CoWO6 crystals. Ferroelectrics 146:113–121 (1993)
Topolov VYu, Crystallographic interpretation of transitional regions in twinned crystals. Ferroelectrics 140:313–318 (1993)
Topolov VYu, Dual structures and transition regions in \(x{\mathrm{PbTiO}}_{3} - (1 - x)\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}}\) crystals. Phys. Solid State 47:1346–1352 (2005)
Fousek J, Janovec V, The orientation of domain walls in twinned ferroelectric crystals. J. Appl. Phys. 40:135–142 (1969)
La-Orauttapong D, Noheda B, Ye Z-G, Gehring PM, Toulouse J, Cox DE, Shirane G, Phase diagram of the relaxor ferroelectric \((1 - x)\mathrm{Pb(Z{n}_{1/3}N{b}_{2/3}){O}_{3}} - x{\mathrm{PbTiO}}_{3}\). Phys. Rev. B 65:144101–144107 (2002)
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Topolov, V.Y. (2012). Overlapping Structures and Transition Regions. In: Heterogeneous Ferroelectric Solid Solutions. Springer Series in Materials Science, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22483-6_5
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DOI: https://doi.org/10.1007/978-3-642-22483-6_5
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