Abstract
Features of the phase coexistence in relaxor-ferroelectric single crystals under the electric field are discussed by taking into account results of the crystallographic description. The electric field is applied along one of the perovskite-cell directions, [001], [011] or [111]. Different scenarios of stress relief in the presence of complex domain structures and morphotropic phases are proposed by taking into account peculiarities of the unit-cell behaviour. The role of the intermediate polydomain monoclinic phase in forming the various heterophase states is described in the context of effective stress relief in different variants of the phase coexistence.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Smolensky GA, Bokov VA, Isupov VA, Krainik NN, Pasynkov RE, Sokolov AI, Yushin NK (1985) Physics of ferroelectric phenomena. Nauka, Leningrad (in Russian)
Cross LE (2008) Relaxor ferroelectrics. In: Heywang W, Wersing W, Lubitz K (eds) Piezoelectricity. Evolution and future of a technology. Springer, Berlin, pp 132–155
Chen J, Chan HM, Harmer MP (1989) Ordering structure and dielectric properties of undoped and La/Na-doped Pb[Mg1/3Nb2/3]O3. J Am Ceram Soc 72:593–598
De Mathan N, Husson E, Calvarin G, Morell A (1991) Structural study of a poled PbMg1/3Nb2/3O3 ceramic at low temperature. Mater Res Bull 26:1167–1172
Ye Z-G, Schmid H (1993) Optical, dielectric and polarization studies of the electric field-induced phase transition in Pb(Mg1/3Nb2/3)O3 [PMN]. Ferroelectrics 145:83–108
Ye Z-G (1998) Relaxor ferroelectric complex perovskites: structure, properties and phase transitions. Key Eng Mater 155–156:81–122
Topolov VY, 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 VY, Rabe H, Schmid H (1993) Mechanical stresses and transition regions in polydomain Pb2CoWO6 crystals. Ferroelectrics 146:113–121
Lu Y, Jeong DY, Cheng Z-Y, Zhang QM, Luo H, Yin Z, Viehland D (2001) Phase transitional behavior and piezoelectric properties of the orthorhombic phase of Pb(Mg1/3Nb2/3)O3–PbTiO3 single crystals. Appl Phys Lett 78:3109–3111
Bai F, Wang N, Li J, Viehland D, Gehring PM, Xu G, Shirane G (2004) X-ray and neutron diffraction investigations of the structural phase transformation sequence under electric field in 0.7Pb(Mg1/3Nb2/3)O3–0.3PbTiO3 crystal. J Appl Phys 96:1620–1627
Cao H, Bai F, Wang N, Li J, Viehland D, Xu G, Shirane G (2005) Intermediate ferroelectric orthorhombic and monoclinic MB phases in [110] electric-field-cooled Pb(Mg1/3Nb2/3)O3–30%PbTiO3 crystals. Phys Rev B 72:064104–6 p
Cao H, Li J, Viehland D (2006) Fragile phase stability in (1 − x)Pb(Mg1/3Nb2/3O3) − xPbTiO3 crystals: a comparison of [001] and [110] field-cooled phase diagrams. Phys Rev 73:184110–9 p
Fu H, Cohen RE (2000) Polarization rotation mechanism for ultrahigh electromechanical response in single-crystal piezoelectrics. Nature 403:281–283
Noheda B, Cox DE, Shirane G, Park S-E, Cross LE, Zhong Z (2001) Polarization rotation via a monoclinic phase in the piezoelectric 92%PbZn1/3Nb2/3O3-8%PbTiO3. Phys Rev Lett 86:3891–3894
Noheda B, Cox DE (2006) Bridging phases at the morphotropic boundaries of lead oxide solid solutions. Phase Transitions 79:5–20
Cao H, Li J, Viehland D (2006) Monoclinic MC vs orthorhombic in [001] and [110] electric-field-cooled Pb(Mg1/3Nb2/3O3)–35%PbTiO3 crystals. Appl Phys Lett 88:072915–3 p
Topolov VY (2006) Comparative analysis of the twin and heterophase structures in (1 − x)Pb(Mg1/3Nb2/3)O3−xPbTiO3 crystals. Phys Solid State 48:1334–1341
Cao H, Bai F, Li J, Viehland D, Xu G, Hiraka H, Shirane G (2005) Structural phase transformation and phase boundary/stability studies of field-cooled Pb(Mg1/3Nb2/3O3)–32%PbTiO3 crystals. J Appl Phys 97:094101–4 p
Noheda B, Cox DE, Shirane G, Gao J, Ye Z-G (2002) Phase diagram of the ferroelectric relaxor (1 − x)Pb(Mg1/3Nb2/3)O3 − xPbTiO3. Phys Rev B 66:054104–10 p
Viehland D, Li JF, Amin A (2002) Electromechanical and elastic isotropy in the (011) plane of 0.7Pb(Mg1/3Nb2/3)O3–0.3PbTiO3 crystals: inhomogeneous shearing of polarization. J Appl Phys 92:3985–3989
Topolov VYu, Cao H, Viehland D (2007) Correlation between non-180° domain structures in (1 − x)Pb(A1/3Nb2/3)O3–xPbTiO3 single crystals (A = Mg or Zn) under an applied [001] electric field. J Appl Phys 102:024103–6 p
Cao H, Li J, Viehland D (2006) Structural origin of the relaxor-to-normal ferroelectric transition in Pb(Mg1/3Nb2/3O3)–xPbTiO3. J Appl Phys 100:034110–4 p
Durbin MK, Hicks JC, Park S-E, Shrout TR (2000) X-ray diffraction and phenomenological studies of the engineered monoclinic crystal domains in single crystal relaxor ferroelectrics. J Appl Phys 87:8159–8164
Viehland D (2000) Symmetry-adaptive ferroelectric mesostates in oriented Pb(BI1/3BII2/3)O3 – PbTiO3 crystals. J Appl Phys 88:4794–4806
La-Orauttapong D, Noheda B, Ye Z-G, Gehring PM, Toulouse J, Cox DE, Shirane G (2002) Phase diagram of the relaxor ferroelectric (1 − x)Pb(Zn1/3Nb2/3)O3 − xPbTiO3. Phys Rev B 65:144101–7 p
Noheda B, Zhong Z, Cox DE, Shirane G, Park S-E, Rehrig P (2002) Electric-field-induced phase transitions in rhombohedral Pb(Zn1/3Nb2/3)1-x Ti x O3. Phys Rev B 65:224101–7 p
Park S-E, Shrout TR (1997) Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals. J Appl Phys 82:1804–1811
Topolov VYu, Turik AV (2001) Interphase boundaries and high piezoelectric activity of xPbTiO3 – (1 − x)Pb(Zn1/3Nb2/3)O3 crystals. Phys Solid State 43:1117–1123
Topolov VYu, Turik AV (2002) An intermediate monoclinic phase and electromechanical interactions in xPbTiO3 – (1 − x)Pb(Zn1/3Nb2/3)O3 crystals. Phys Solid State 44:1355–1362
Topolov VY (2002) Intermediate monoclinic phase and elastic matching in perovskite-type solid solutions. Phys Rev B 65:094207–6 p
Kuwata J, Uchino K, Nomura S (1981) Phase transitions in the Pb(Zn1/3Nb2/3)O3 – PbTiO3 system. Ferroelectrics 37:579–582
Bondarenko EI, Topolov VYu, Turik AV (1990) The effect of 90° domain wall displacements on piezoelectric and dielectric constants of perovskite ferroelectric ceramics. Ferroelectrics 110:53–56
Durbin MK, Jacobs EW, Hicks JC, Park S-E (1999) In situ x-ray diffraction study of an electric field induced phase transition in the single crystal relaxor ferroelectric 92%Pb(Zn1/3Nb2/3)O3–8%PbTiO3. Appl Phys Lett 74:2848–2850
Paik D-S, Park S-E, Wada S, Liu S-F, Shrout TR (1999) E-field induced phase transition in 〈001〉-oriented rhombohedral 0.92Pb(Zn1/3Nb2/3)O3-0.08PbTiO3 crystals. J Appl Phys 85:1080–1083
Bellaiche L, García A, Vanderbilt D (2001) Electric-field induced polarization paths in Pb(Zr1-x Ti x )O3 alloys. Phys Rev B64:060103–4 p
Noheda B, Cox DE, Shirane G, Guo R, Jones B, Cross LE (2001) Stability of the monoclinic phase in the ferroelectric perovskite PbZr1-xTixO3. Phys Rev B 63:014103–6 p
Leontiev NG, Kolesova RV, Eremkin VV, Fesenko OE, Smotrakov VG (1984) Space group of high-temperature lead hafnate orthorhombic phase. Kristallografiya 29:395–397 (in Russian)
Viehland D, Li JF (2002) Anhysteretic field-induced rhombhohedral to orthorhombic transformation in 〈110〉-oriented 0.7Pb(Mg1/3Nb2/3)O3–0.3PbTiO3 crystals. J Appl Phys 92:7690–7692
Feng Z, Luo H, Guo Y, He T, Xu H (2003) Dependence of high electric-field-induced strain on the composition and orientation of Pb(Mg1/3Nb2/3)O3–PbTiO3 crystals. Solid State Commun 126:347–351
Liu T, Lynch CS (2003) Ferroelectric properties of [110], [001] and [111] poled relaxor single crystals: measurements and modeling. Acta Mater 51:407–416
Liu T, Lynch CS (2005) Characterization and modeling of relaxor single crystals. Integr Ferroelectr 71:173–179
Liu T, Lynch CS (2006) Domain engineered relaxor ferroelectric single crystals. Continuum Mech Thermodyn 18:119–135
Yao J, Cao H, Ge W, Li J, Viehland D (2009) Monoclinic M B phase and phase instability in [110] field cooled Pb(Zn1/3Nb2/3)O3–4.5%PbTiO3 single crystals. Appl Phys Lett 95:052905–3 p
Renault A-E, Dammak H, Calvarin G, Gaucher P, Thi MP (2005) Electric-field-induced orthorhombic phase in Pb[(Zn1/3Nb2/3)0.955Ti0.045]O3 single crystals. J Appl Phys 97:044105–6 p
Topolov VY (2006) Links between polydomain phases in electric-field-cooled (1 − x)Pb(Mg1/3Nb2/3)O3 – xPbTiO3 single crystals. Appl Phys Lett 89:082904–3 p
Topolov VYu, Cao H, Viehland D (2007) Phase coexistence in [111] electric-field-cooled 0.7Pb(Mg1/3Nb2/3)O3–0.3PbTiO3 crystals. J Phys: Condens Matter 19:246224–9 p
Cao H, Li J, Viehland D (2006) Electric-field-induced orthorhombic to monoclinic MB phase transition in [111] electric field cooled Pb(Mg1/3Nb2/3)O3 − 30%PbTiO3 crystals. J Appl Phys 100:084102–5 p
Davis M, Damjanovic D, Setter N (2005) Electric-field-induced orthorhombic to rhombohedral in [111] C -oriented 0.92Pb(Zn1/3Nb2/3)O3 − 0.08PbTiO3. J Appl Phys 97:064101–6 p
Lee J-K, Yi JY, Hong K-S, Park S-E, Millan J (2002) Domain configuration and crystal structure of Pb(Zn1/3Nb2/3)O3 − 5%PbTiO3 crystals as a function of the electric-field direction. J Appl Phys 91:4474–4478
Fesenko EG, Gavrilyachenko VG, Semenchev AF (1990) Domain structure of multiaxial ferroelectric crystals. Rostov University Press, Rostov-on-Don (in Russian)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Topolov, V.Y. (2018). Phase Coexistence Under Electric Field. In: Heterogeneous Ferroelectric Solid Solutions. Springer Series in Materials Science, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-319-75520-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-75520-5_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-75519-9
Online ISBN: 978-3-319-75520-5
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)