A generalized inverse-pole-figure method to analyze domain switching in polycrystalline ferroelectrics

Ryo, Hyok-Su; Ryo, In-Gwang

doi:10.1007/s00339-016-0267-5

Cited by 5 publications

(5 citation statements)

References 10 publications

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“…It is the only method that allows separation of the size and strain contributions from single peak analysis with reasonable accuracy. From the GPF obtained via Langford, we obtain the GDF of defects based on the work of Rajmohan et al (1997), Bunge (1982), Wcislak & Bunge (1996) and others (Ryo & Ryo, 2016;Miller et al, 2005). The basis of our reasoning is that, if such GDF exists, it must be related to an ODF through an equation analogous to equation ( 8), which means that such distribution can be obtained by the same methods employed to obtain the ODF from the intensity pole figures.…”

Section: Discussionmentioning

confidence: 99%

“…Despite the fact that this simple condition is envisioned to be fulfilled by many physical properties (almost by definition), there were also some practical difficulties precluding the complete application of that concept since its proposal. The method of GPFs is usually better used in the mode of generalized inverse pole figures to represent polar properties, which are properties depending only on the direction of a preferential crystal axis or even sometimes only on the sample orientation (Ryo & Ryo, 2016;Miller et al, 2005), but no complete analysis has been carried out by resourcing to the determination of generalized distribution functions (GDFs) and recalculation of the original PFs.…”

Section: The Methods Of Generalized Pole Figuresmentioning

confidence: 99%

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Generalized pole figures from post-processing whole Debye–Scherrer patterns for microstructural analysis on deformed materials

Benatti¹,

Vincentis²,

Al-Hamdany³

et al. 2022

J Synchrotron Rad

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Debye–Scherrer patterns, obtained from X-ray diffraction experiments using synchrotron light in transmission geometry, were analysed to construct generalized pole figures, and further used as input for an orientation distribution function inversion algorithm. By using Langford's method for separating strain and size contributions to peak broadening, it was possible, for the first time, to obtain full domain size and dislocation density generalized distribution functions (GDFs). This method was applied to cold-rolled and annealed interstitial-free steel. The predictions made using GDFs were corroborated by electron backscatter diffraction measurements and were also consistent with what was previously known for this kind of material under these conditions.

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Section: Discussionmentioning

confidence: 99%

Section: The Methods Of Generalized Pole Figuresmentioning

confidence: 99%

Generalized pole figures from post-processing whole Debye–Scherrer patterns for microstructural analysis on deformed materials

Benatti¹,

Vincentis²,

Al-Hamdany³

et al. 2022

J Synchrotron Rad

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“…With regard to the magnetocrystalline anisotropy of RE, it is believed that the 4f electrons in the RE ions are responsible for the main part of the magnetic anisotropy and that the CEF acting on the 4f electrons dominates this property. [17] In case of the Gd compound, because of the zero orbital magnetic moment (L = 0) for Gd, [18] the spin-orbit coupling almost disappears and there is no crystal field anisotropy. High resolution synchrotron XRD results show that a major symmetry axis as a direction of easy magnetization, i.e., [111], can be obtained for GdFe 2 by adding a small amount of Tb.…”

Section: Methodsmentioning

confidence: 99%

Influence of Tb on easy magnetization direction and magnetostriction of ferromagnetic Laves phase GdFe₂ compounds*

Murtaza¹,

Yang²,

Zhou³

et al. 2016

Chinese Phys. B

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The crystal structure, magnetization, and spontaneous magnetostriction of ferromagnetic Laves phase GdFe2 compound have been investigated. High resolution synchrotron x-ray diffraction (XRD) analysis shows that GdFe2 has a lower cubic symmetry with easy magnetization direction (EMD) along [100] below Curie temperature T C. The replacement of Gd with a small amount of Tb changes the EMD to [111]. The Curie temperature decreases while the field dependence of the saturation magnetization (M s) measured in temperature range 5–300 K varies with increasing Tb concentration. Coercivity H c increases with increasing Tb concentration and decays exponentially as temperature increases. The anisotropy in GdFe2 is so weak that some of the rare-earth substitution plays an important role in determining the easy direction of magnetization in GdFe2. The calculated magnetostrictive constant λ 100 shows a small value of 37×10−6. This value agrees well with experimental data 30×10−6. Under a relatively small magnetic field, GdFe2 exhibits a V-shaped positive magnetostriction curve. When the field is further increased, the crystal exhibits a negative magnetostriction curve. This phenomenon has been discussed in term of magnetic domain switching. Furthermore, magnetostriction increases with increasing Tb concentration. Our work leads to a simple and unified mesoscopic explanation for magnetostriction in ferromagnets. It may also provide insight for developing novel functional materials.

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“…The intrinsic properties given by Equation ( 12) depend on, and are limited by, the allowed polarization directions associated with the crystal symmetry of the FE phase(s) [59]. The maximum achievable properties of FE ceramics in a saturated poling state have been estimated from single-crystal data via probability density functions of orientation (PDFOs) [57], pole figures [62], inverse pole figures [63] and/or orientation distribution function (ODF) [60,64,65] methods. In these models, macroscopic properties are estimated as the averaged response of randomly oriented grains over the entire orientation space.…”

Section: Intrinsic Properties Of Ferroelectric Ceramicsmentioning

confidence: 99%

“…For the T and R phases, the saturated remnant polarization of FE ceramics, P * r , can be estimated from the magnitude of the spontaneous polarization in the single crystal as [57,59,60,[62][63][64][65]]…”

Section: Intrinsic Properties Of Ferroelectric Ceramicsmentioning

confidence: 99%

Physics-based optimization of Landau parameters for ferroelectrics: application to BZT–50BCT

Oa¹,

Bishop²,

Garcı́a³

2021

Modelling Simul. Mater. Sci. Eng.

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In analogy to thermochemical parameter optimization in the CALculation of PHAse Diagrams (CALPHAD) approach that relies on a wide variety of experimental measurements, a thermodynamic parameter optimization strategy to describe the polarization response with single-crystal Landau coefficients is documented herein to bridge the gap between CALPHAD, Landau theory and the generality of phase field theory.As an example, anisotropic Landau coefficients are obtained by starting from experimental parameters for Pb-free 0.5Ba(Zr 0.2 Ti 0.8 )O 3 -0.5(Ba 0.7 Ca 0.3 )TiO 3 (BZT-50BCT). Thermodynamic parameters are optimized separately for the rhombohedral (R) and tetragonal (T) ferroelectric phases using a combination of single-crystal and polycrystalline polarization and permittivity data. Parameters are validated against dielectric permittivity as a function of temperature from single-crystal and polycrystalline samples. The optimized parameters correctly predict the sequence of phase transitions as a function of temperature and the paraelectric-ferroelectric transition at 355.5 K is within the experimentally reported range. An upper thermodynamic limit is predicted for R + T metastable coexistence at 302.3 K in agreement with the experimentally measured transition to a stable single T phase for this chemistry at 302 K. The detailed parameter optimization procedure enables the identification of single-crystal tensor properties from experimental measurements for a wide variety of chemistries.

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A generalized inverse-pole-figure method to analyze domain switching in polycrystalline ferroelectrics

Cited by 5 publications

References 10 publications

Generalized pole figures from post-processing whole Debye–Scherrer patterns for microstructural analysis on deformed materials

Generalized pole figures from post-processing whole Debye–Scherrer patterns for microstructural analysis on deformed materials

Influence of Tb on easy magnetization direction and magnetostriction of ferromagnetic Laves phase GdFe₂ compounds*

Physics-based optimization of Landau parameters for ferroelectrics: application to BZT–50BCT

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A generalized inverse-pole-figure method to analyze domain switching in polycrystalline ferroelectrics

Cited by 5 publications

References 10 publications

Generalized pole figures from post-processing whole Debye–Scherrer patterns for microstructural analysis on deformed materials

Generalized pole figures from post-processing whole Debye–Scherrer patterns for microstructural analysis on deformed materials

Influence of Tb on easy magnetization direction and magnetostriction of ferromagnetic Laves phase GdFe2 compounds*

Physics-based optimization of Landau parameters for ferroelectrics: application to BZT–50BCT

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Influence of Tb on easy magnetization direction and magnetostriction of ferromagnetic Laves phase GdFe₂ compounds*