2010
DOI: 10.2109/jcersj2.118.921
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Orientation distribution-Lotgering factor relationship in a polycrystalline material-as an example of bismuth titanate prepared by a magnetic field

Abstract: This paper correlated a convenient orientation index, Lotgering factor (LF), with the orientation distribution of a crystalorientated polycrystalline material, theoretically and experimentally. For particle-oriented bismuth titanate (Bi 4 Ti 3 O 12 ) as a model, a Cauchy probability density function (CF) was valid for representing the orientation distribution of oriented material. The LF was calculated from XRD patterns which were derived from assumed orientation distribution. The standard deviation was used f… Show more

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Cited by 91 publications
(35 citation statements)
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References 29 publications
(10 reference statements)
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“…57 In addition to texture, information about the size of the crystallites can be obtained from the XRD peak widths, which is useful since crystallite size is known to play a signicant role in determining the electrical properties of polycrystalline lms. Using the Scherer formula, the crystallite size can be calculated as:…”
mentioning
confidence: 99%
“…57 In addition to texture, information about the size of the crystallites can be obtained from the XRD peak widths, which is useful since crystallite size is known to play a signicant role in determining the electrical properties of polycrystalline lms. Using the Scherer formula, the crystallite size can be calculated as:…”
mentioning
confidence: 99%
“…15 Since ferroelectric polarization is influenced by the degree of orientation and texture of Aurivillius phase films, the degree of orientation for the B6TFO films is expressed in terms of Lotgering factor. 27 The Lotgering factor (L f ) measured for the B6TFO thin film annealed at 850 0 C was 0.962, confirming that the B6TFO thin film is preferably oriented along the out-of-plane c-axis (c-plane) and textured 27,28 although full texture was not obtained (L f <1) as observed by the (1111) and (026) reflections. Figure 2 represents a cross-section HR-TEM micrograph of a B6TFO thin film annealed at 850 • C. TEM analysis reveals that the B6TFO thin film has a clear n = 5 layered Aurivillius structure with uniformly distributed perovskite units over the sample.…”
Section: A Crystallographic Propertiesmentioning
confidence: 86%
“…XRD data was used to investigate the degree of orientation of B6TFO thin films by calculating the Lotgering factor (LF) by comparing the ratios of peaks along the preferred orientation to summation of all diffracted intensities peak and using theoretical (hkl) intensities obtained from the Crystallographica software. [26][27][28] …”
Section: Methodsmentioning
confidence: 99%
“…p 0 is p of a material with a random particle distribution [22]. Using the above calculation, LF value is 0.31.…”
Section: Structure Of Magnetically Oriented Filmmentioning
confidence: 97%