Abstract
Analysis of results on the study and classification of various interfaces in polydomain and heterophase ferroelectric single crystals and related materials is carried out. Classification of domain boundaries in ferroelectric single crystals is highlighted. An emphasis is placed on crystallographic methods that can be applied to study complicated domain (twin) structures and their rearrangement, heterophase states, features of the formation of the new phase, etc., in ferroelectric solid solutions. Examples of complete stress relief and zero-net-strain planes at the interphase boundaries in two-phase single crystals are discussed for many cases of first-order phase transitions.
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References
Lines M, Glass A (1977) Principles and application of ferroelectrics and related materials. Clarendon Press, Oxford
Zheludev IS (1971) Physics of crystalline dielectrics, vol 2: Electrical properties. Plenum, New York
Smolensky GA, Bokov VA, Isupov VA, Krainik NN, Pasynkov RE, Sokolov AI, Yushin NK (1985) Physics of ferroelectric phenomena. Nauka, Leningrad (in Russian)
Xu Y (1991) Ferroelectric materials and their applications. North-Holland, Amsterdam London New York Toronto
Fang D-N, Soh AK, Li C-Q, Jiang B (2001) Nonlinear behavior of 0–3 type ferroelectric composites with polymer matrices. J Mater Sci 36:5281–5288
Malbec A, Liu T, Lynch CS (2004) Characterization and modeling of domain engineered relaxor ferroelectric single crystals. J de Physique IV (France) 115:59–66
Turik AV (1970) Elastic, piezoelectric, and dielectric properties of single crystals of BaTiO3 with a laminar domain structure. Sov Phys Solid State 12:688–693
Topolov VYu, Bondarenko EI, Turik AV, Chernobabov AI (1993) The effect of domain structure on electromechanical properties of PbTiO3-based ferroelectrics. Ferroelectrics 140:175–181
Topolov VYu (1999) Interfaces in ferroelectrics and related materials with complex domain structures. Ferroelectrics 222:41–52
Topolov VYu, Bowen CR (2009) Electromechanical properties in composites based on ferroelectrics. Springer, London
Fesenko EG, Gavrilyachenko VG, Semenchev AF (1990) Domain structure of multiaxial ferroelectric crystals. Rostov University Press, Rostov-on-Don (in Russian)
Rudyak VM (1986) Switching processes in nonlinear crystals. Nauka, Moscow (in Russian)
Shuvalov LA, Urusovskaya AA, Zheludev IS, Zalessky AV, Semiletov SA, Grechishnikov BN, Chistyakov IG, Pikin SA (1981) Modern crystallography, vol. 4. Nauka, Moscow (in Russian)
Zheludev IS, Shuvalov LA (1956) Ferroelectric phase transitions and symmetry of crystals. Kristallografiya 1:681–688 (in Russian)
Zheludev IS, Shuvalov LA (1957) Orientation of domains and macrosymmetry of properties of ferroelectric single crystals. Izvestiya Akademii Nauk SSSR. Seriya Fizicheskaya 21:264–274 (in Russian)
Shuvalov LA (1963) Crystallographic classification of ferroelectrics. Ferroelectric phase transitions and features of the domain structure and some physical properties of ferroelectrics of different classification species. Kristallografiya 8:617–624 (in Russian)
Shuvalov LA (1964) Crystallophysical classification of ferroelectrics and its applications. Izvestiya Akademii Nauk SSSR. Seriya Fizicheskaya 28:660–665 (in Russian)
Shuvalov LA (1970) Symmetry aspects of ferroelectricity. J Phys Soc Jpn 28 (Suppl.):38–51
Zheludev IS (1971) Ferroelectricity and symmetry. Solid state physics: advances in research and applications, vol 26. Academic Press, New York London, pp 429–464
Mitsui T, Furuichi J (1953) Domain structure of Rochelle salt and KH2PO4. Phys Rev 90:193–202
Cao W, Cross LE (1991) Theory of tetragonal twin structures in ferroelectric perovskites with a first-order phase transition. Phys Rev B44:5–12
Cao W (1995) Defect stabilized periodic amplitude modulations in ferroelectrics. Phase Transitions 55:69–78
Nambu S, Sagala DA (1994) Domain formation and elastic long-range interaction in ferroelectric perovskites. Phys Rev B 50:5838–5847
Rosakis P, Jiang Q (1995) On the morphology of ferroelectric domains. Int J Eng Sci 33:1–12
Dec J (1990) Orientacija i kinetyka granic fazowych w monokryształach PbTiO3, NaNbO3 i PbZrO3. Universytet Śląski, Katowice (in Polish)
Roytburd AL (1993) Elastic domains and polydomain phases in solids. Phase Transitions 45:1–33
Topolov VYu, Turik AV (1995) Crystallographic aspects of interfaces in ferroelectrics. Defect Diffus Forum Pt A 123–124:31–50
Roitburd AL (1974) The theory of the formation of a heterophase structure in phase transformations in solids. Sov Phys Uspehi 17:326–344
Roitburd AL (1990) On the thermodynamics of martensite nucleation. Mater Sci Eng A 127:229–238
Wechsler MS, Lieberman DS, Read TA (1953) On the theory of the formation of martensite. Trans AIME J Metals 197:1503–1515
Lieberman DS, Wechsler MS, Read TA (1955) Cubic to orthorhombic diffusionless phase change—experimental and theoretical studies of AuCd. J Appl Phys 26:473–484
Bilby BA, Christian JW (1956) Martensistic transformations. The mechanism of phase transformations in metals. The Institute of Metals, London, pp 121–172
Larché FC (1990) Coherent phase transformations. Annu Rev Mater Sci 20:83–99
Boulesteix C, Yangui B, Ben Salem M, Manolikas C, Amelinckx S (1986) The orientation of interfaces between a prototype phase and its ferroelastic derivatives: theoretical and experimental study. J de Physique (France) 47:461–471
Kato M, Shibata-Yanagisawa M (1990) Infinitesimal deformation approach of the phenomenological crystallographic theory of martensitic transformations. J Mater Sci 25:194–202
Dudnik EF, Shuvalov LA (1989) Domain structure and phase boundaries in ferroelastics. Ferroelectrics 98:207–214
Fousek J, Janovec V (1969) The orientation of domain walls in twinned ferroelectric crystals. J Appl Phys 40:135–142
Fousek J (1971) Permissible domain walls in ferroelectric species. Czech J Phys B 21:955–968
Janovec V (1976) A symmetry approach to domain structures. Ferroelectrics 12:43–53
Sapriel J (1975) Domain-wall orientations in ferroelastics. Phys Rev B 12:5128–5140
Vagin SV, Dudnik EF (1983) Method of interpreting the domain structure of ferroelastics. Bull Acad Sci U.S.S.R. Phys Ser 47(3):78–81
Shuvalov LA, Dudnik EF, Pozdeyev VG (1987) Forbidden domain boundaries in ferroelastics. Izvestiya Akademii Nauk SSSR. Seriya Fizicheskaya 51:2119–2123 (in Russian)
Boulesteix C (1984) A survey of domains and domain walls generated by crystallographic phase transitions causing a change of lattice. Physica Status Solidi (a) 86:11–42
Barkley JR, Jeitschko W (1973) Antiphase boundaries and their interactions with domain walls in ferroelastic-ferroelectric Gd2(MoO4)3. J Appl Phys 44:938–944
Capelle B, Malgrande C (1984) Antiphase domain walls in ferroelectric-ferroelastic GDMO crystals. In: Applications of X-ray topographic methods to materials science: proceedings of France–U.S.A. Seminar, Village, Colo., 7–10 August 1983. New York London, pp 511–522
Rychetsky I, Schranz W (1993) Antiphase boundaries in Hg2Br2 and KSCN. J Phys Condens Matter 5:1455–1472
Salje EKH (1990) Phase transitions in ferroelastic and co-elastic crystals. Cambridge University Press, Cambridge New York Oakleigh
Heine V, Bratkovsky AM, Salje EKH (1994) The effect of clamped and free boundaries on long range strain coupling in structural phase transitions. Phase Transitions 52:85–93
Wruck B, Salje EKH, Zhang M, Abraham T, Bismayer U (1994) On the thickness of feroelastic twin walls in lead phosphate Pb3(PO4)2: an X-ray diffraction study. Phase Transitions 48:135–148
Bratkovsky AM, Salje EKH, Heine V (1994) Overwiew of the origin of tweed texture. Phase Transitions 52:77–83
Putnis A, Salje E (1994) Tweed microstructures: experimental observations and some theoretical models. Phase Transitions 48:85–105
Bratkovsky AM, Marais SC, Heine V, Salje EKH (1994) The theory of fluctuations and texture embryos in structural phase transitions mediated by strain. J Phys Condens Matter 6:3679–3696
Viehland D, Li JF, Colla EV (2004) Domain structure changes in (1 − x)Pb(Mg1/3Nb2/3)O3 − xPbTiO3 with composition, dc bias, and ac field. J Appl Phys 96:3379–3381
Noheda B (2002) Structure and high-piezoelectricity in lead oxide solid solutions. Curr Opin Solid State Mater Sci 6:27–34
Bokov AA, Ye Z-G (2004) Domain structure in the monoclinic Pm phase of Pb(Mg1/3Nb2/3)O3–PbTiO3 single crystals. J Appl Phys 95:6347–6359
Shuvaeva VA, Glazer AM, Zekria D (2005) The macroscopic symmetry of Pb(Mg1/3Nb2/3)1 − x Ti x O3 in the morphotropic phase boundary region (x = 0.25–0.5). J Phys: Condens Matter 17:5709–5723
Bokov AA, Ye Z-G (2006) Recent progress in relaxor ferroelectrics with perovskite structure. J Mater Sci 41:31–52
Topolov VYu, Turik AV (1990) Elastic interaction of phases of Gd2(MoO4)3 crystals. Izvestiya Vysshikh Uchebnykh Zavedeniy, Fizika 33(3):68–72 (in Russian)
Nakamura T, Kondo T, Kumada A (1971) Observation of phase boundaries between ferro- and paraelectric phases in Gd2(MoO4)3 crystals. Solid State Commun 9:2265–2268
Metrat G (1980) Theoretical determination of domain structure at transition from twinned phase: application to the tetragonal-orthorhombic transition of KNbO3. Ferroelectrics 26:801–804
Topolov VYu, Rabe H, Schmid H (1993) Mechanical stresses and transition regions in polydomain Pb2CoWO6 crystals. Ferroelectrics 146:113–121
Topolov VYu, Ye Z-G, Schmid H (1995) A crystallographic analysis of macrodomain structure in Pb(Mg1/3Nb2/3)O3. J Phys Condens Matter 7:3041–3049
Topolov VYu, Ye Z-G (1996) Formation of the stress-induced mm2 phase at the ferroelastic—antiferroelectric \( \overline{4} \)3m—\( \overline{4} \)2m phase transition in Cr–Cl boracite. J Phys Condens Matter 8:6087–6094
Topolov VYu (2007) Peculiarities of coexistence of heavily twinned phases in the (1 − x)Pb(Mg1/3Nb2/3)TiO3 − xPbTiO3 solid solutions at 0.23 ≤ x ≤ 0.30. Crystallogr Rep 52:297–301
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, Balyunis LE, Turik AV, Eremkin VV, Sori BI (1992) S-type twinning (domain) boundaries in PbZrO3 crystals. Sov Phys Crystallogr 37:223–226
Topolov VYu (1990) On variety of conditions for realization of S-type domain boundaries in ferroelectric crystals. In: Proceedings of the all-union conference “real structure and properties of acentric crystals”, September 17–22, 1990, Aleksandrov, VNIISIMS. Pt 2. Blagoveshchensk, pp 20–29 (in Russian)
Topolov VYu, Gagarina ES, Demidova VV (1995) Domain structure and related phenomena in PbYb0.5Nb0.5O3 crystals. Ferroelectrics 172:373–376
Balyunis LE, Topolov VYu, Turik AV, Fesenko OE (1990) Optical and crystallographic studies of twin and phase boundaries in antiferroelectric PbHfO3. Ferroelectrics 111:291–298
Topolov VYu, Turik AV, Fesenko OE, Eremkin VV (1995) Mechanical stresses and three-phase states in perovskite-type ferroelectrics. Ferroelectr Lett Sect 20:19–26
Topolov VYu (1987) Electromechanical interactions in heterogeneous systems at ferroelectric phase transitions. Author’s Abstract to the Thesis, Cand. Sci. (Phys. & Math.). Rostov State University, Rostov-on-Don (in Russian)
Topolov VYu (1989) Analysis of conditions necessary for the existence of a flat non-deformed boundary separating polydomain ferroelastic phases. Bull Acad Sci USSR Phys Ser 53 (7), 51–54
Kuhn W (1991) Domain structures induced by phase transitions in BaTiO3 single crystals. Ferroelectr Lett Sect 13:101–108
Topolov VYu (1998) Some features of three-phase states in PbZr1 − x Ti x O3 crystals. Crystallogr Rep 43:68–73
Lekhnitsky SG (1977) Elasticity theory of the anisotropic solid. Nauka, Moscow (in Russian)
Mura T (1987) Micromechanics of defects in solids. Martins Nijhoff Publications, Dordrecht
Topolov VYu, Balyunis LE, Turik AV, Bah IS, Fesenko OE (1992) Interphase boundaries at cubic-rhombohedral phase transition in PbZrO3 crystals. Bull Russ Acad Sci Phys 56:1588–1593
Ye Z-G, Topolov VYu (2001) Complex domain and heterophase structures in Pb(Mg1/3Nb2/3)O3–PbTiO3 single crystals. Ferroelectrics 253:79–86
Sciau PH, Calvarin G, Sun BN, Schmid H (1992) X-ray study of phase transitions of the elpasolite-like ordered perovskite Pb2CoWO6. Physica Status Solidi (a) 129:309–321
Jaffe B, Cook WR, Jaffe H (1971) Piezoelectric ceramics. Academic Press, London
Noheda B, Cox DE, Shirane G (2002) Phase diagram of the ferroelectric relaxor (1 − x)Pb(Mg1/3Nb2/3)O3 − xPbTiO3. Phys Rev B 66:054104–10 p
Kothai V, Senyshyn A, Ranjan R (2013) Competing structural phase transition scenarios in the giant tetragonality ferroelectric BiFeO3–PbTiO3: isostructural vs multiphase transition. J Appl Phys 113:084102–8 p
Brajesh K, Tanwar K, Abebe M, Ranjan R (2015) Relaxor ferroelectricity and electric-field-driven structural transformation in the giant lead-free piezoelectric (Ba, Ca)(Ti, Zr)O3. Phys Rev B 92:224112–8 p
Topolov VYU, Ye Z-G (2004) Coexistence of morphotropic phases in (1 − x)Pb(Mg1/3Nb2/3)O3–xPbTiO3 solid solutions. Phys Rev B 70:094113–8 p
Topolov VYu (2004) Unique three-phase states in (1 − x)Pb(Zn1/3Nb2/3)O3–xPbTiO3 single crystals. J Phys Condens Matter 16:2455–2461
Topolov VYu, Brajesh K, Ranjan R, Panich AE (2017) Plausible domain configurations and phase contents in two- and three-phase BaTiO3-based lead-free ferroelectrics. J Phys D Appl Phys 50:065307–11 p
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Topolov, V.Y. (2018). Crystallographic Aspects of Interfaces in Ferroelectrics and Related Materials. In: Heterogeneous Ferroelectric Solid Solutions. Springer Series in Materials Science, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-319-75520-5_1
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