55
Views
2
CrossRef citations to date
0
Altmetric
Research Article

Proper and improper ferroelastics with perovskite-derived structures

ORCID Icon &
Pages 36-44 | Received 18 Sep 2022, Accepted 25 Apr 2023, Published online: 29 Jul 2023

References

  • A. S. Bhalla, R. Guo, and R. Roy, The perovskite structure—a review of its role in ceramic science and technology, Mat. Res. Innovat. 4 (1), 3 (2000). DOI: 10.1007/s100190000062.
  • A. M. Glazer, The classification of tilted octahedra in perovskites, Acta Crystallogr. B Struct. Crystallogr. Cryst. Chem. 28 (11), 3384 (1972). DOI: 10.1107/S0567740872007976.
  • K. S. Aleksandrov, Successive structural phase transitions in perovskites. 1. Symmetry of distorted phases, Kristallografiya (Sov. Phys. Crystallogr.) 21, 249 (1976).
  • C. J. Howard, and H. T. Stokes, Group-theoretical analysis of octahedral tilting in perovskites, Acta Crystallogr. B Struct. Sci. 54 (6), 782 (1998). DOI: 10.1107/S0108768198004200.
  • P. M. Woodward, Octahedral tilting in perovskites. I. Geometrical considerations, Acta Crystallogr. B Struct. Sci. 53 (1), 32 (1997). DOI: 10.1107/S0108768196010713.
  • P. M. Woodward, Octahedral tilting in perovskites. II. Structure stabilizing forces, Acta Crystallogr. B Struct. Sci. 53 (1), 44 (1997). DOI: 10.1107/S0108768196012050.
  • K. Aizu, Determination of the state parameters and formulation of spontaneous strain for ferroelastics, J. Phys. Soc. Jpn. 28 (3), 706 (1970). DOI: 10.1143/JPSJ.28.706.
  • S. A. Gridnev, Ferroelastics – a new class of crystalline solids, Soros Educ. J. 6, 100 (2000).
  • E. K. H. Salje, Phase Transitions in Ferroelastic and Co-Elastic Crystals (Cambridge University Press, New York, 1990).
  • V. K. Wadhawan, Ferroelasticity and related properties of crystals, Phase Transit., 3 (1), 3 (1982). DOI: 10.1080/01411598208241323.
  • E. K. H. Salje, Ferroelastic materials, Annu. Rev. Mater. Res. 42 (1), 265 (2012). DOI: 10.1146/annurev-matsci-070511-155022.
  • A. E. Jacobs, Landau theory of structures in tetragonal-orthorhombic ferroelastics, Phys. Rev. B 61 (10), 6587 (2000). DOI: 10.1103/PhysRevB.61.6587.
  • A. K. Tagantsev, L. E. Cross, and J. Fousek, Domains in Ferroic Crystals and Thin Films (Springer, New York and Dordrecht, 2010).
  • J. C. Toledano, and P. Toledano, Order parameter symmetries and free-energy expansions for purely ferroelastic transitions, Phys. Rev. B 21 (3), 1139 (1980). DOI: 10.1103/PhysRevB.21.1139.
  • M. A. Carpenter et al., Strain mechanism for order-parameter coupling through successive phase transitions in PrAlO3, Phys. Rev. B 72 (2), 024118 (2005). DOI: 10.1103/PhysRevB.72.024118.
  • M. A. Carpenter, and E. K. H. Salje, Elastic anomalies in minerals due to structural phase transitions, Eur. J. Mineral. 10 (4), 693 (1998). DOI: 10.1127/ejm/10/4/0693.
  • V. B. Shirokov et al., Phenomenological theory of phase transitions in epitaxial BaxSr1−xTiO3 thin films, Phys. Rev. B 79 (14), 144118 (2009). DOI: 10.1103/PhysRevB.79.144118.
  • N. A. Pertsev, A. G. Zembilgotov, and A. K. Tagantsev, Effect of mechanical boundary conditions on phase diagrams of epitaxial ferroelectric thin films, Phys. Rev. Lett. 80 (9), 1988 (1998). DOI: 10.1103/PhysRevLett.80.1988.
  • A. S. Sidorkin, Domain Structure in Ferroelectrics and Related Materials (Cambridge International Science Publishing, Cambridge, 2006).
  • V. Nagarajan et al., Dynamics of ferroelastic domains in ferroelectric thin films, Nat. Mater. 2 (1), 43 (2003). DOI: 10.1038/nmat800.
  • Y. Liu et al., Chemical nature of ferroelastic twin domains in CH3NH3PbI3 perovskite, Nat. Mater. 17 (11), 1013 (2018). DOI: 10.1038/s41563-018-0152-z.
  • J. F. Scott, E. K. H. Salje, and M. A. Carpenter, Domain wall damping and elastic softening in SrTiO3: evidence for polar twin walls, Phys. Rev. Lett. 109 (18), 187601 (2012). DOI: 10.1103/PhysRevLett.109.187601.
  • W. Schranz et al., Polarization of domain boundaries in SrTiO3 studied by layer group and order-parameter symmetry, Phys. Rev. B 102 (18), 184101 (2020). DOI: 10.1103/PhysRevB.102.184101.
  • Y. Frenkel et al., Imaging and tuning polarity at SrTiO3 domain walls, Nat. Mater. 16 (12), 1203 (2017). DOI: 10.1038/nmat4966.
  • V. P. Sakhnenko, and V. M. Talanov, Deformation-induced transitions in cubic crystals: tensile deformation, Fiz. Tverd. Tela. 21, 2435 (1979).
  • V. P. Sakhnenko, and V. M. Talanov, Deformation phase transformation in crystals of the cubic classes: shear deformations, Fiz. Tverd. Tela. 22, 785 (1980).
  • M. V. Talanov, and V. M. Talanov, Order parameters and phase diagrams of ferroelastics with pyrochlore structure, Ferroelectrics 543 (1), 1 (2019). DOI: 10.1080/00150193.2019.1592423.
  • C. J. Howard, and H. T. Stokes, Structures and phase transitions in perovskites – a group-theoretical approach, Acta Cryst. A61, 93 (2005). DOI: 10.1107/S0108767304024493.
  • H. Wondratschek and U. Müller, editors. International Tables for Crystallography. Vol. A1. Symmetry Relationships between Space Groups (Kluwer Academic, Dordrecht, 2004).
  • M. V. Talanov, V. B. Shirokov, and V. M. Talanov, Anion order in perovskites: a group-theoretical analysis, Acta Crystallogr. A Found Adv. 72 (Pt 2), 222 (2016). DOI: 10.1107/S2053273315022147.
  • V. M. Talanov, M. V. Talanov, and V. B. Shirokov, Group-theoretical study of cationic ordering in perovskite structure, Crystallogr. Rep. 59 (5), 650 (2014). DOI: 10.1134/S1063774514050186.
  • W. Li et al., Chemically diverse and multifunctional hybrid organic–inorganic perovskites, Nat. Rev. Mater. 2 (3), 16099 (2017). DOI: 10.1038/natrevmats.2016.99.
  • M. V. Talanov, Group-theoretical analysis of 1:3 A-site-ordered perovskite formation, Acta Crystallogr. A Found Adv. 75 (Pt 2), 379 (2019). DOI: 10.1107/S2053273318018338.
  • O. Bock, and U. Müller, Symmetrieverwandtschaften bei Varianten des Perowskit-Typs, Acta Cryst. B58, 594 (2002). DOI: 10.1107/S0108768102001490.
  • H. Boysen et al., On the high-temperature crystal structure of Sr/Mg-doped lanthanum gallate. Evidence for the first perovskite-type structure with R3¯m symmetry, Z. anorg. allg. Chem. 628 (12), 2647 (2002). DOI: 10.1002/1521-3749.(200212)628:12 < 2647::AID-ZAAC2647 > 3.0.CO;2-Z
  • J. C. Slonczewski, and H. Thomas, Interaction of elastic strain with the structural transition of strontium titanate, Phys. Rev. B 1 (9), 3599 (1970). DOI: 10.1103/PhysRevB.1.3599.
  • W. Cao, and G. R. Barsch, Landau-Ginzburg model of interphase boundaries in improper ferroelastic Perovskites of D184h symmetry, Phys. Rev. B Condens. Matter 41 (7), 4334 (1990). DOI: 10.1103/PhysRevB.41.4334.
  • Y. Zhao et al., Critical phenomena and phase transition of perovskite – data for NaMgF3 perovskite. Part II, Phys. Earth Planet. Inter. 76 (1–2), 17 (1993). DOI: 10.1016/0031-9201(93)90052-B.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.