Academic literature on the topic 'Ferroelectric-loop'

In this work, effects of compressive stress on the ferroelectric properties of 0.7PMN–0.3PT ceramics were investigated. The ceramics with the formula (0.7)Pb(Mg1/3Nb2/3)O3-(0.3)PbTiO were prepared by a conventional mixed-oxide method. The ferroelectric properties under compressive stress were observed at stress up to 80 MPa using a compressometer in conjunction with a modified Sawyer-Tower circuit. The results showed that applied stress had a significant influence on the ferroelectric properties of 0.7PMN–0.3PT ceramics. Ferroelectric characteristics, i.e. the area of the ferroelectric hysteresis (P-E) loop, the saturation polarization (Psat), the remanent polarization (Pr) and loop squareness (Rsq), decreased with increasing compressive stress, while the coercive field (Ec) remained relatively constant. Stress-induced domain wall motion suppression and non-180oC ferroelectric domain switching processes are responsible for the changes observed.

The ferroelectric and electrical properties of potassium nitrate (KNO3): polyvinylidene fluoride (PVDF) composite layers prepared by melt press method have been studied. The stability of ferroelectric phase (phase –III) of potassium nitrate (KNO3) in the composite layers at room temperature have been analyzed. The temperature dependence of ferroelectric hysteresis loop (P-E) characteristics have been investigated in the composite layers. The electrical conductivity (σ) and dielectric behaviour of composite layers have been characterized. The conductivity and dielectric variation with temperature during heating and cooling modes has been found to provide the knowledge of phase transition in the composite. The capacitance –-voltage (C-V) and conductance - voltage (G-V) characteristics clearly show the ferroelectric butterfly loop, which is attributed to the features of ferroelectricity in the composite layers at room temperature. The coexistence of ferroelectric phase (phase III) with paraelectric phase (phase II) has also been observed at room temperature in the composite layers during dielectric and conductivity measurements.

Strontium substituted lead zirconate titanate nanocrystalline material with chemical formula Pb0.95Sr0.05 (Zr0.52Ti0.48) O3 have been synthesized by alkoxide based sol gel method. The product was characterized by differential thermal analysis, thermogravimetric analysis, powder X-ray diffraction and scanning electron microscopy. The ferroelectric hysteresis loop measurement was carried out at room temperature using ferroelectric loop tracer over a field range of 20 kV/cm. The remanent polarization Pr, saturation polarization Pmax and coercive field Ec were 12.97 µC/cm², 30.52 µC/cm² and 6.5 kV/cm respectively. The piezoelectric coefficient d33 was measured with the variation of polling field.

CaCu 3 Ti 4 O 12 ( CCTO ) ceramics were prepared by the solid-state reaction route. Effect of sintering time was studied on the polarization (P) versus electric field (E) behavior. Unlike conventional ferroelectric hysteresis loop, PE hysteresis behavior in CCTO ceramics was observed to exhibit ferroelectric-like loop where polarization does not saturate but gives a maximum value. Remnant polarization and maximum polarization was observed to increase with sintering time. Current (I)–voltage (V) characteristics shows a nonlinear behavior making them useful for varistor applications. Coefficient of non-linearity (α) is also found to depend on sintering duration.

The multiferroic perovskite solid solution xBiFeO3-(1-x)PbTiO3 (BF-PT) exhibits very unique features such as giant tetragonality (c/a ~ 1.19), coexistence of ferroelectric and magnetic order (in certain composition range) and a high Curie point. The system has an added advantage of being semiconducting in nature with an optical band gap of ~ 2 eV which makes it interesting from the viewpoint of photocatalyst and photovoltaic applications. The end members BiFeO3 and PbTiO3 show rhombohedral (R3c) and tetragonal (P4mm) structures, respectively. The system is reported to exhibit morphotropic phase boundary (MPB) separating the rhombohedral and tetragonal phases near x ~ 0.73. Despite considerable research, the morphotropic phase boundary (MPB) region characterized by the coexistence of coexistence of the tetragonal and rhombohedral phases, is still an unresolved issue. In this work we have examined (i) the factors that leads to the uncertainty in the MPB region of this system, (ii) the pressure induced structural transformation behavior of the tetragonal compositions, (iii) photocatalytic performance of the different phases, and finally (iv) an extensive study on the ferroelectric, piezoelectric and high-field electrostrain behavior of La-modified BF-PT. The thesis has seven chapters. Chapter 1 presents the fundamental concepts and definitions which are relevant to understand the results presented in the thesis. It also contains a summary of the literature pertaining to BiFeO3 and its various derivatives. Chapter 2 explains the details of the experimental methodology and analysis used in this work. The main results of the thesis are presented in the next four chapters (3-6). Chapter 3 deals with the erratic phase formation behavior in a wide range of compositions in (1-x)BiFeO3-(x)PbTiO3 (BF-PT) system in a certain composition range, often referred to as the MPB region. Under similar sintering conditions, sometimes the pellets would spontaneously disintegrate to powder (completely/partially) after cooling and sometimes not. Structural analysis revealed that the disintegrated powder was invariably tetragonal (P4mm) phase and the pellet which survives exhibit coexistence of P4mm and R3c phases. Detailed microstructural investigation revealed that this different in the phase formation behavior is intimately related to the size of the grains. For the composition x=0.29, a composition within the reported MPB region of this system, the spontaneously disintegrated powder grains exhibit size of ~ 10 microns. When the size of the grains was reduced to ~ 0.5 μm by mechanical grinding, the same powder specimen shows a rhombohedral (R3c) phase after annealing at ~ 700 oC (annealing was done to get rid of the residual stress induced effect during the grinding process, if any). Neutron diffraction experiment revealed that the size induced rhombohedral phase is also antiferromagnetic in nature. This suggests a strong coupling of the antiferromagnetic phase with the rhombohedral (R3c) structure. Based on the structural results, we argue that the driving force for this size driven coupled inter-ferroelectric-magnetic transformation is the large depolarizing and the stress fields due to large polarization and domain walls energy (which are intimately related to the giant tetragonality). Chapter 4 is an extension of the findings reported in Chapter 3. Keeping in view the fact that BiFeO3 and its derivatives are semiconducting ferroelectric with a band gap of ~ 2 eV, we investigated the behavior of the different phases (tetragonal and rhombohedral) regarding their photocatalytic properties. As discussed in Chapter 3, reducing the size of the grains to below 0.5 micron switches the ground state from tetragonal to rhombohedral. But then this was possible only after the ground specimen was annealed above the Curie point, i.e. after taking the system to the paraelectric state. When the annealing was not done, the as-ground 0.5 micron grains still retained the tetragonal phase. The pinned tetragonal domain walls which are already present in the large grains act as barriers for the bulk tetragonal regions to transform to rhombohedral when the size is reduced physically at room temperature. By taking the system to the paraelectric phase, the tetragonal domain walls are “dissolved”. In the absence of the tetragonal domain wall as barriers, the system lands in the rhombohedral (R3c) ground state during cooling. The trapped tetragonal phase at room temperature in the 0.5 microns grains are therefore metastable in nature. We therefore had the opportunity to examine the catalytic performance of the same powder in its stable rhombohedral phase (obtained after annealing) and metastable tetragonal phase (before annealing). For the sake of reference, we also made compositions with stable tetragonal phase (with grains having the same specific area as the metastable tetragonal phase). The photocatalysis experiments were carried out using these powders as catalysts to degrade typical organic contaminants. We found that when the metastable phase was used as the catalyst, the rate of die degradation increased by nearly five times as compared to its stable phase counterparts. Our results suggest that the metastable ferroelectric phase either increase the availability of the photogenerated charge carriers to participate in the redox reaction associated with dye degradation or increase the adsorption rate of the dyes on the surface of the particles. Chapter 5 gives the details of the investigation pertaining to pressure induced structural transformations in the tetragonal phase of (x)BiFeO3-(1-x)PbTiO3. High pressure experiments were carried out using complementary Raman and x-ray diffraction techniques to capture the structural changes on both the local and global length scales. We found two different types of pressure induced phase transformations in two different composition ranges. We established a correlation of the transition pressure with the tetragonality of the parent phase at the ambient pressure and temperature conditions. While the compositions (x < 0.4) with relatively low tetragonality show a transition from tetragonal P4mm to a non-polar rhombohedral R3̅c phase, the compositions in the range 0.4 < x < 0.71 with a relatively high tetragonality undergo a transformation first to polar rhombohedral (R3c) phase before transforming to the non-polar R3̅c phase. The transition pressure at which the composition loses its tetragonal structure decreases with the increasing BF content. Our study confirmed that the MPB at room temperature can be stabilized even by pressure in tetragonal systems with large tetragonality. Chapter 6 reports the discovery of an extraordinary large electrostrain (~ 1.3%) in polycrystalline specimens of La modified BF-PT, more specifically in the system with chemical formula 0.55(Bi0.7La0.3)FeO3-0.45PbTiO3. This is the largest electrostrain value reported so far in a polycrystalline ceramic specimen. We carried out a detailed investigation to understand the mechanism associated with this ultrahigh electrostrain response using Raman, XRD, neutron powder diffraction, and electron microscopy with specimen subjected to poling field. We found that the composition y = 0.30 exhibiting the ultrahigh electrostrain exhibit a cubic-like structure in the unpoled state. On poling it transforms to a majority tetragonal phase. Neutron diffraction revealed very weak superlattice reflections, characteristic of antiphase tilted octahedra in both the unpoled and poled specimen. Detailed analysis using group theoretical ideas and Rietveld analysis of the neutron diffraction data, revealed that the true structure of this system is monoclinic (space group Cc) although the pseudocubic lattice parameters are tetragonal-like. Raman and electron microscopic studies revealed that what appears as a cubic-like to tetragonal-like transformation on application of the poling field is primarily a manifestation of increase in the coherence length of the tetragonal-like domains. This composition behaves as a relaxor ferroelectric and the HAADF-STEM analysis revealed that the cubic—like phase is associated with the presence of considerable positional disorder, the degree of which is noticeably reduced after poling. An extensive XRD study in-situ with electric field was also carried out to understand the domain switching behavior with field. This study proved that the ultrahigh electrostrain of the critical composition (y = 0.30) is primarily associated with (i) the large reverse switching of the tetragonal-like non-180o ferroelectric-ferroelastic domain walls and (ii) the large tetragonality (c/a ~ 1.23) of the tetragonal-like phase. The important results of the thesis and the scope for further studies are summarized in Chapter 7.

In this paper, we discuss the development and implementation of a 3-D electromechanically coupled homogenized energy model (HEM) for ferroelectric materials. A stochastic-based methodology is introduced and applied to problems involving large scale switching of ferroelectric and ferroelastic materials. Switching criteria for polarization variants are developed using density distributions in three dimensions to accommodate both electrical and mechanical loading and their coupled response. The theory accommodates non-proportional loading and major/minor loop hysteresis. Such formulations are known to accelerate computations for real-time control of nonlinear and hysteretic actuators. The proposed formulation maintains superior computational efficiency in the three dimensional case through the application of density formulations that are based on internal distributions of stress and electric field to produce a distribution of polarization switching events over a range of applied fields and stresses.

A nanoscale active fiber composites (NAFCs) based acoustic emission (AE) sensor with high sensitivity is developed. The lead zirconate titanate (PZT) nanofibers, with the diameter of approximately 80 nm, were electrospun on a silicon substrate. Nanofibers were parallel aligned on the substrate under a controlled electric field. The interdigitated electrodes were deposited on the PZT nanofibers and packaged by spinning a thin soft polymer layer on the top of the sensor. The hysteresis loop shows a typical ferroelectric property of as-spun PZT nanofibers. The mathematical model of the voltage generation when the elastic waves were reaching the sensor was studied. The sensor was tested by mounting on a steel surface and the measured output voltage under the periodic impact of a grounded steel bar was over 35 mV. The small size of the developed PZT NAFCs AE sensor shows a promising application in monitoring the structures by integration into composites.

In the presented article we propose a mathematical model for nonlinear response of the polycristalline ferroelectrics, an efficient numerical algorithm for its parameters identification, and finally we deal with the ways of their using in practice. Piezoelectrics and ferroelectrics constitute an important class of materials known owing theirs wide application as sensors and actuators in a large number of devices and components. The control, description, and understanding of piezoelectrics and ferroelectrics behavior present thus an important and difficult undertaking from both the practical and theoretical point of view. The piezoelectric hysteresis is an important property of piezoelectric and ferroelectric materials caused by different physical processes that take place in ferroelectric materials, e.g. domain-wall pinning, defect ordering, etc. Most often hysteresis is undesired in high-precision sensor, actuator and capacitor applications. But leaving out of framework the origin and mechanisms of the piezoelectric hysteresis the necessity of devices rational design forces to develop the specialized CAE systems to be able to simulate and optimize an efficiency of the ferroelectric-based devices, considering both useful and undesirable phenomena. So, finite-element modeling of sensor and actuator devices requires knowledge of the supplementary constitutive relations that are valid at broad range of electric fields, including the cases of irreversible polarization or depolarization process. There are several approaches to deriving the governing relationships, particularly, orientation Jiles–Atherton model, where governing relationships are formulated by increments between some intrinsic and target parameters. At low mathematical complexity this model is based on the transparent physical meanings, allowing to describe the work of electric field rotating the domains, and energy destructing the fixed domain walls. The proposed model represents a nonlinear ordinary differential equation relative to polarization and driving by electric field. Together with incremental theory this model allows to describe the real behavior of the physical object and to determine all needed field features at list for quasistatic process. As many models describing a nonlinear behavior of whole class of polycristalline materials our model depends on the five intrinsic parameters which have a different physical nature, and have influence on the nonlinear hysteretic response of material. Settings of model imply an unambiguous determination of such parameters. Identification of these parameters is a coefficient inverse problem, and for its resolving we have used the experimentally obtained hysteretic loops. At numerical implementation the set of these five parameters minimize a discrepancy functional square depended on experimentally observed and calculated points of hysteretic loop. Due to complexity of the minimized functional behavior on the space of identified parameters the minimization procedure was realized by means of Genetic Algorithm Toolbox MATLAB. The developed numerical method for hysteresis differential operator parameters identification has shown the good efficiency, robustness, and speedy convergence. These parameters then have used for static and modal analysis by finite element package ACELAN that utilizes an incremental theory for describing of irreversible polarization process. Finally we demonstrate some calculation results for non-uniformly polarized piezoceramic elements.