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Published in: Journal of Materials Science 1/2019

27-08-2018 | Ceramics

Lamellar and bundled domain rotations in barium titanate

Authors: Jane A. Howell, Mark D. Vaudin, Lawrence H. Friedman, Robert F. Cook

Published in: Journal of Materials Science | Issue 1/2019

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Abstract

Cross-correlation of electron backscatter diffraction patterns has been used to generate rotation maps of single crystals of tetragonal barium titanate (BaTiO3) containing multiple lamellae and bundles of ≈ 90° domains. Rotation measurement angular resolutions of 0.1 mrad (0.006°) and spatial resolutions of 30 nm are demonstrated on structures with approximately 1 μm domains extending over 10s of μm. The material orientations demonstrated considerable microstructural dependence: c domains, with polarization perpendicular to a free surface, exhibited little within-domain rotation variation while a-domains, with polarization parallel to the surface, exhibited considerable within-domain variation, particularly in the larger lamellar domain structure. In both lamellar and bundled structures, the maximum ac between-domain rotation was approximately equal to the value θr ≈ 0.63° (11 mrad) predicted by a rigid rotation of tetragonal BaTiO3 unit cells across the domain boundary. However, in both structures there was gradual variation in rotation throughout, especially adjacent to domain boundaries, suggesting that a rigid rotation model predicts too abrupt a unit cell and polarization rotation. A new BaTiO3 compound defect was deduced through identification of a double integral surface rotation 2θr. The double rotation is indicative of a low-angle grain boundary terminating at a surface by a confined 90° domain.

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Literature
3.
go back to reference Pan MJ, Randall CA (2010) A brief introduction to ceramic capacitors. IEEE Electr Insul Mag 26:44–50CrossRef Pan MJ, Randall CA (2010) A brief introduction to ceramic capacitors. IEEE Electr Insul Mag 26:44–50CrossRef
4.
go back to reference Kwei GH, Lawson AC, Billinge SJL, Cheong SW (1993) Structures of the ferroelectric phases of barium–titanate. J Phys Chem 97:2368–2377CrossRef Kwei GH, Lawson AC, Billinge SJL, Cheong SW (1993) Structures of the ferroelectric phases of barium–titanate. J Phys Chem 97:2368–2377CrossRef
5.
go back to reference Jona F, Shirane G (1993) Ferroelectric crystals. Dover Publications Inc, New York Jona F, Shirane G (1993) Ferroelectric crystals. Dover Publications Inc, New York
7.
go back to reference Kim S-B, Chung T-J, Kim D-Y (1993) Effect of external compressive stress on the domain configuration of barium titanate ceramics. J Eur Ceram Soc 12:147–151CrossRef Kim S-B, Chung T-J, Kim D-Y (1993) Effect of external compressive stress on the domain configuration of barium titanate ceramics. J Eur Ceram Soc 12:147–151CrossRef
8.
go back to reference Haertling GH (1999) Ferroelectric ceramics: history and Technology. J Am Ceram Soc 82:797–818CrossRef Haertling GH (1999) Ferroelectric ceramics: history and Technology. J Am Ceram Soc 82:797–818CrossRef
9.
go back to reference Hu YH, Chan HM, Wen ZX, Harmer MP (1986) Scanning electron microscopy and transmission electron microscopy of ferroelectric domains in doped BaTiO3. J Am Ceram Soc 69:594–602CrossRef Hu YH, Chan HM, Wen ZX, Harmer MP (1986) Scanning electron microscopy and transmission electron microscopy of ferroelectric domains in doped BaTiO3. J Am Ceram Soc 69:594–602CrossRef
10.
go back to reference Tsai F, Cowley JM (1993) Observation of planar defects by reflection electron microscopy. Ultramicroscopy 52:400–403CrossRef Tsai F, Cowley JM (1993) Observation of planar defects by reflection electron microscopy. Ultramicroscopy 52:400–403CrossRef
11.
go back to reference Hamazaki S-I, Shimizu F, Kojima S, Takashige M (1995) AFM observation of 90 domains of BaTiO3 butterfly crystals. J Phys Soc Jpn 64:3660–3663CrossRef Hamazaki S-I, Shimizu F, Kojima S, Takashige M (1995) AFM observation of 90 domains of BaTiO3 butterfly crystals. J Phys Soc Jpn 64:3660–3663CrossRef
12.
go back to reference Takashige M, Hamazaki S-I, Nobutaka G, Shimizu F, Kojima S (1996) Atomic force microscope observation of ferroelectrics: barium titanate and Rochelle salt. Jpn J Appl Phys 35:5181–5184CrossRef Takashige M, Hamazaki S-I, Nobutaka G, Shimizu F, Kojima S (1996) Atomic force microscope observation of ferroelectrics: barium titanate and Rochelle salt. Jpn J Appl Phys 35:5181–5184CrossRef
13.
go back to reference Pang GKH, Baba-Kishi KZ (1998) Characterization of butterfly single crystals of BaTiO3 by atomic force, optical and scanning electron microscopy techniques. J Phys D Appl Phys 31:2846–2853CrossRef Pang GKH, Baba-Kishi KZ (1998) Characterization of butterfly single crystals of BaTiO3 by atomic force, optical and scanning electron microscopy techniques. J Phys D Appl Phys 31:2846–2853CrossRef
14.
go back to reference Melnichuk M, Wood LT (2003) Fraunhofer diffraction to determine the twin angle in single-crystal BaTiO3. Appl Optics 32:4463–4467CrossRef Melnichuk M, Wood LT (2003) Fraunhofer diffraction to determine the twin angle in single-crystal BaTiO3. Appl Optics 32:4463–4467CrossRef
15.
go back to reference Yoneda Y, Kohmura Y, Suzuki Y, Hamazaki S, Takashige M (2004) X-ray diffraction topography on a BaTiO3 crystal. J Phys Soc Jpn 73:1050–1053CrossRef Yoneda Y, Kohmura Y, Suzuki Y, Hamazaki S, Takashige M (2004) X-ray diffraction topography on a BaTiO3 crystal. J Phys Soc Jpn 73:1050–1053CrossRef
16.
17.
go back to reference Oppolzer H, Schmelz H (1983) Investigation of twin lamellae in BaTiO3 ceramics. J Am Ceram Soc 66:444–446CrossRef Oppolzer H, Schmelz H (1983) Investigation of twin lamellae in BaTiO3 ceramics. J Am Ceram Soc 66:444–446CrossRef
18.
go back to reference Cheng S-Y, Ho N-J, Lu H-Y (2006) Transformation-induced twinning: the 90 and 180 ferroelectric domains in tetragonal barium titanate. J Am Ceram Soc 89:2177–2187 Cheng S-Y, Ho N-J, Lu H-Y (2006) Transformation-induced twinning: the 90 and 180 ferroelectric domains in tetragonal barium titanate. J Am Ceram Soc 89:2177–2187
19.
go back to reference Forsbergh PW (1949) Domain structures and phase transitions in barium titanate. Phys Rev 76:1187–1201CrossRef Forsbergh PW (1949) Domain structures and phase transitions in barium titanate. Phys Rev 76:1187–1201CrossRef
20.
go back to reference Mase WE (1970) Continuum mechanics. McGraw-Hill, New York Mase WE (1970) Continuum mechanics. McGraw-Hill, New York
21.
go back to reference Wilkinson AJ, Meaden G, Dingley DJ (2006) High resolution mapping of strains and rotations using electron backscatter diffraction. Mater Sci Technol 22:1271–1278CrossRef Wilkinson AJ, Meaden G, Dingley DJ (2006) High resolution mapping of strains and rotations using electron backscatter diffraction. Mater Sci Technol 22:1271–1278CrossRef
22.
go back to reference Vaudin MD, Stan G, Gerbig YB, Cook RF (2011) High resolution surface morphology measurements using EBSD cross-correlation techniques and AFM. Ultramicroscopy 111:1206–1213CrossRef Vaudin MD, Stan G, Gerbig YB, Cook RF (2011) High resolution surface morphology measurements using EBSD cross-correlation techniques and AFM. Ultramicroscopy 111:1206–1213CrossRef
23.
go back to reference Friedman LH, Vaudin MD, Stranick SJ, Stan G, Gerbig YB, Osborn WA, Cook RF (2016) Assessing strain mapping by electron backscatter diffraction and confocal Raman microscopy using wedge-indented Si. Ultramicroscopy 163:75–86CrossRef Friedman LH, Vaudin MD, Stranick SJ, Stan G, Gerbig YB, Osborn WA, Cook RF (2016) Assessing strain mapping by electron backscatter diffraction and confocal Raman microscopy using wedge-indented Si. Ultramicroscopy 163:75–86CrossRef
24.
go back to reference Takashige M, Hamazaki S-I, Shimizu F, Kojima S (1997) Observation of 90 domains in BaTiO3 by atomic force microscopy. Ferroelectrics 196:211–214CrossRef Takashige M, Hamazaki S-I, Shimizu F, Kojima S (1997) Observation of 90 domains in BaTiO3 by atomic force microscopy. Ferroelectrics 196:211–214CrossRef
25.
go back to reference Takashige M, Hamazaki S-I, Takahashi Y, Shimizu F, Yamaguchi T (1999) Temperature dependent surface images of BaTiO3 observed by atomic force microscopy. Jpn J Appl Phys 38:5686–5688CrossRef Takashige M, Hamazaki S-I, Takahashi Y, Shimizu F, Yamaguchi T (1999) Temperature dependent surface images of BaTiO3 observed by atomic force microscopy. Jpn J Appl Phys 38:5686–5688CrossRef
26.
go back to reference Balakumar S, Xu JB, Ma JX, Ganesamoorthy S, Wilson IH (1997) Surface morphology of ferroelectric domains in BaTiO3 single crystals: an atomic force microscope study. Jpn J Appl Phys 36:5566–5569CrossRef Balakumar S, Xu JB, Ma JX, Ganesamoorthy S, Wilson IH (1997) Surface morphology of ferroelectric domains in BaTiO3 single crystals: an atomic force microscope study. Jpn J Appl Phys 36:5566–5569CrossRef
27.
go back to reference Kalinin SV, Bonnell DA (2000) Effect of phase transition on the surface potential of the BaTiO3 (100) surface by variable temperature scanning surface potential microscopy. J Appl Phys 87:3950–3957CrossRef Kalinin SV, Bonnell DA (2000) Effect of phase transition on the surface potential of the BaTiO3 (100) surface by variable temperature scanning surface potential microscopy. J Appl Phys 87:3950–3957CrossRef
28.
go back to reference Nakahara H, Kaku S, Minakuchi T (2010) Observation of ferroelectric domains having atomically ordered surface in air by atomic force microscopy and piezoresponse force microscopy. Ferroelectrics 401:192–195CrossRef Nakahara H, Kaku S, Minakuchi T (2010) Observation of ferroelectric domains having atomically ordered surface in air by atomic force microscopy and piezoresponse force microscopy. Ferroelectrics 401:192–195CrossRef
29.
go back to reference Pramanick A, Jones JL, Tutncu G, Gjosh D, Stoica AD, An K (2012) Strain incompatibility and residual strains in ferroelectric single crystals. Sci Rep 2:929CrossRef Pramanick A, Jones JL, Tutncu G, Gjosh D, Stoica AD, An K (2012) Strain incompatibility and residual strains in ferroelectric single crystals. Sci Rep 2:929CrossRef
30.
go back to reference Tsai F, Cowley JM (1992) Observation of ferroelectric domain boundaries in BaTiO3 single crystals by reflection electron microscopy. Ultramicroscopy 45:43–53CrossRef Tsai F, Cowley JM (1992) Observation of ferroelectric domain boundaries in BaTiO3 single crystals by reflection electron microscopy. Ultramicroscopy 45:43–53CrossRef
31.
go back to reference Yoneda Y, Mizuki J-I, Kohmura Y, Suzuki Y, Hamazaki S-I, Takashige M (2004) X-ray topography on domain-controlled BaTiO3 crystals. Jpn J Appl Phys 43:6821–6824CrossRef Yoneda Y, Mizuki J-I, Kohmura Y, Suzuki Y, Hamazaki S-I, Takashige M (2004) X-ray topography on domain-controlled BaTiO3 crystals. Jpn J Appl Phys 43:6821–6824CrossRef
32.
go back to reference Yoneda Y, Kohmura Y, Suzuki Y, Morimura R, Kojima A, Mizuki J-I (2007) Direct observation of non-strain-free style domain in BaTiO3 crystal by synchrotron X-ray topography. Trans Mater Res Soc Jpn 32:31–34 Yoneda Y, Kohmura Y, Suzuki Y, Morimura R, Kojima A, Mizuki J-I (2007) Direct observation of non-strain-free style domain in BaTiO3 crystal by synchrotron X-ray topography. Trans Mater Res Soc Jpn 32:31–34
33.
go back to reference Potnis PR, Huber JE, Sutter JP, Hofmann F, Abbey B, Korsunsky (2010) Mapping of domain structure in barium titanate single crystals by synchrotron X-ray topography. In: Ounaies Z, Li J (ed) Behavior and mechanics of multifunctional materials and composites. Proc. SPIE 76440A-1-10 Potnis PR, Huber JE, Sutter JP, Hofmann F, Abbey B, Korsunsky (2010) Mapping of domain structure in barium titanate single crystals by synchrotron X-ray topography. In: Ounaies Z, Li J (ed) Behavior and mechanics of multifunctional materials and composites. Proc. SPIE 76440A-1-10
34.
go back to reference El-Naggar MY, Boyd DA, Goodwin DG (2005) Characterization of highly-oriented ferroelectric PbxBa1−xTiO3 thin films grown by metalorganic chemical vapor deposition. J Mater Res 20:2969–2976CrossRef El-Naggar MY, Boyd DA, Goodwin DG (2005) Characterization of highly-oriented ferroelectric PbxBa1−xTiO3 thin films grown by metalorganic chemical vapor deposition. J Mater Res 20:2969–2976CrossRef
35.
go back to reference Wang YG, Dec J, Kleemann W (1998) Study on surface and domain structures in PbTiO3 crystals by atomic force microscopy. J Appl Phys 84:6795–6799CrossRef Wang YG, Dec J, Kleemann W (1998) Study on surface and domain structures in PbTiO3 crystals by atomic force microscopy. J Appl Phys 84:6795–6799CrossRef
36.
go back to reference Shilo D, Ravichandran G, Bhattacharya K (2004) Investigation of twin-wall structure at the nanometer scale using atomic force microscopy. Nat Mat 3:453–457CrossRef Shilo D, Ravichandran G, Bhattacharya K (2004) Investigation of twin-wall structure at the nanometer scale using atomic force microscopy. Nat Mat 3:453–457CrossRef
37.
go back to reference Park BM, Chung SJ, Kim HS, Si WM, Dudley M (1997) Synchrotron white-beam X-ray topography of ferroelectric domains in a BaTiO3 single crystal. Philos Mag A 75:611–620CrossRef Park BM, Chung SJ, Kim HS, Si WM, Dudley M (1997) Synchrotron white-beam X-ray topography of ferroelectric domains in a BaTiO3 single crystal. Philos Mag A 75:611–620CrossRef
38.
go back to reference Tsai F, Khiznichenko V, Cowley JM (1992) High-resolution electron microscopy of 90 ferroelectric domain boundaries in BaTiO3 and Pb(Zr0.52Ti0.48)O3. Ultramicroscopy 45:55–63CrossRef Tsai F, Khiznichenko V, Cowley JM (1992) High-resolution electron microscopy of 90 ferroelectric domain boundaries in BaTiO3 and Pb(Zr0.52Ti0.48)O3. Ultramicroscopy 45:55–63CrossRef
39.
go back to reference Ganpule CS, Nagarajan V, Hill BK, Roytburd AL, Williams ED, Ramesh R, Alpay SP, Roelofs Waser R, Eng LM (2002) Imaging three-dimensional polarization in epitaxial polydomain ferroelectric thin films. J Appl Phys 91:1477–1481CrossRef Ganpule CS, Nagarajan V, Hill BK, Roytburd AL, Williams ED, Ramesh R, Alpay SP, Roelofs Waser R, Eng LM (2002) Imaging three-dimensional polarization in epitaxial polydomain ferroelectric thin films. J Appl Phys 91:1477–1481CrossRef
40.
go back to reference Farooq MU, Villaurrutia R, Maclaren I, Kungl H, Hoffmann MJ, Fundenberger J-J, Bouzy E (2008) Using EBSD and TEM-Kikuchi patterns to study local crystallography at the domain boundaries of lead zirconate titanate. J Microsc 230:445–454CrossRef Farooq MU, Villaurrutia R, Maclaren I, Kungl H, Hoffmann MJ, Fundenberger J-J, Bouzy E (2008) Using EBSD and TEM-Kikuchi patterns to study local crystallography at the domain boundaries of lead zirconate titanate. J Microsc 230:445–454CrossRef
41.
go back to reference Farooq MU, Villaurrutia R, Maclaren I, Burnett TL, Comyn TP, Bell AJ, Kungl H, Hoffmann MJ (2008) Electron backscatter diffraction mapping of herringbone domain structures in tetragonal ferroelectrics. J Appl Phys 104:024111-1-8CrossRef Farooq MU, Villaurrutia R, Maclaren I, Burnett TL, Comyn TP, Bell AJ, Kungl H, Hoffmann MJ (2008) Electron backscatter diffraction mapping of herringbone domain structures in tetragonal ferroelectrics. J Appl Phys 104:024111-1-8CrossRef
42.
go back to reference Ross FM, Kilaas R, Snoeck E, Hÿtch M, Thorel A, Normand L (1997) Quantitative analysis of displacements at 90° domain boundaries in BaTiO3 and PbTiO3. In: Smith DJ (ed) Materials research society symposium proceedings, vol 466, pp 245–252 Ross FM, Kilaas R, Snoeck E, Hÿtch M, Thorel A, Normand L (1997) Quantitative analysis of displacements at 90° domain boundaries in BaTiO3 and PbTiO3. In: Smith DJ (ed) Materials research society symposium proceedings, vol 466, pp 245–252
43.
go back to reference Holt M, Hassani Kh, Sutton M (2005) Microstructure of ferroelectric domains in BaTiO3 observed via X-ray microdiffraction. Phys Rev Lett 95:085504CrossRef Holt M, Hassani Kh, Sutton M (2005) Microstructure of ferroelectric domains in BaTiO3 observed via X-ray microdiffraction. Phys Rev Lett 95:085504CrossRef
44.
go back to reference Yakunin SI, Shakmanov VV, Spivak GV, Vasil’eva NV (1972) Microstructure of domains and domain walls in single-crystal films of barium titanate. Sov Phys Sol State 14:310–313 Yakunin SI, Shakmanov VV, Spivak GV, Vasil’eva NV (1972) Microstructure of domains and domain walls in single-crystal films of barium titanate. Sov Phys Sol State 14:310–313
45.
go back to reference Cao W, Cross LE (1991) Theory of tetragonal twin structures in ferroelectric perovskites with a first-order phase transition. Phys Rev B 44:5–12CrossRef Cao W, Cross LE (1991) Theory of tetragonal twin structures in ferroelectric perovskites with a first-order phase transition. Phys Rev B 44:5–12CrossRef
46.
go back to reference Zhang W, Bhattacharya K (2005) A computational model of ferroelectric domains. Part I: model formulation and domain switching. Acta Mater 53:185–198CrossRef Zhang W, Bhattacharya K (2005) A computational model of ferroelectric domains. Part I: model formulation and domain switching. Acta Mater 53:185–198CrossRef
47.
go back to reference Daniels JE, Jones JL, Finlayson TR (2006) Characterization of domain structures from diffraction profiles in tetragonal ferroelastic ceramics. J Phys D Appl Phys 39:5294–5299CrossRef Daniels JE, Jones JL, Finlayson TR (2006) Characterization of domain structures from diffraction profiles in tetragonal ferroelastic ceramics. J Phys D Appl Phys 39:5294–5299CrossRef
48.
go back to reference Pramanick A, Jones JL, Tutuncu G, Ghosh D, Stoica AD, An K (2012) Strain incompatibility and residual strains in ferroelectric single crystals. Sci Rep 2:929CrossRef Pramanick A, Jones JL, Tutuncu G, Ghosh D, Stoica AD, An K (2012) Strain incompatibility and residual strains in ferroelectric single crystals. Sci Rep 2:929CrossRef
49.
go back to reference Read WT (1953) Dislocations in Crystals. McGraw-Hill Book Company Inc, New York Read WT (1953) Dislocations in Crystals. McGraw-Hill Book Company Inc, New York
53.
go back to reference Gao P, Ishikawa R, Feng B, Kumamoto A, Shibata N, Ikuhara Y (2018) Atomic-scale structure relaxation, chemistry and charge distribution of dislocation cores in SrTiO3. Ultramicroscopy 184:217–224CrossRef Gao P, Ishikawa R, Feng B, Kumamoto A, Shibata N, Ikuhara Y (2018) Atomic-scale structure relaxation, chemistry and charge distribution of dislocation cores in SrTiO3. Ultramicroscopy 184:217–224CrossRef
54.
go back to reference Pertsev NA, Arlt G (1991) Dislocation method for calculation of internal stresses in polycrystalline ferroelectrics. Sov Phys – Sol State 33:1738-1744 Pertsev NA, Arlt G (1991) Dislocation method for calculation of internal stresses in polycrystalline ferroelectrics. Sov Phys – Sol State 33:1738-1744
55.
go back to reference Imaeda M, Mizoguchi T, Sato Y, Lee H-S, Findlay SD, Shibata N, Yamamoto T, Ikuhara Y (2008) Atomic structure, electronic structure, and defect energies in [001](310)Σ5 grain boundaries in SrTiO3 and BaTiO3. Phys Rev B 78:245320-1-12CrossRef Imaeda M, Mizoguchi T, Sato Y, Lee H-S, Findlay SD, Shibata N, Yamamoto T, Ikuhara Y (2008) Atomic structure, electronic structure, and defect energies in [001](310)Σ5 grain boundaries in SrTiO3 and BaTiO3. Phys Rev B 78:245320-1-12CrossRef
56.
go back to reference Ivry Y, Chu DP, Durkan C (2010) Bundles of polytwins as meta-elastic domains in the thin polycrystalline simple multi-ferroic system PZT. Nanotechnology 21:065702-1-7CrossRef Ivry Y, Chu DP, Durkan C (2010) Bundles of polytwins as meta-elastic domains in the thin polycrystalline simple multi-ferroic system PZT. Nanotechnology 21:065702-1-7CrossRef
Metadata
Title
Lamellar and bundled domain rotations in barium titanate
Authors
Jane A. Howell
Mark D. Vaudin
Lawrence H. Friedman
Robert F. Cook
Publication date
27-08-2018
Publisher
Springer US
Published in
Journal of Materials Science / Issue 1/2019
Print ISSN: 0022-2461
Electronic ISSN: 1573-4803
DOI
https://doi.org/10.1007/s10853-018-2831-1

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