Elastic properties of beryllium-lantanum hexaaluminate crystal, BeLaAl11O19

Bogdanov, S. V.; Zubrinov, I. I.; Pestryakov, E. V.; Petrov, V. V.; Семенов, В. И.; Alimpiev, A. I.

doi:10.1134/1.1376476

Cited by 2 publications

(4 citation statements)

References 7 publications

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“…(7) is 298 GPa. The measured value is nearer to the LHA Young's modulus as reported by Bogdanov et al [33].…”

Section: W-h Methodssupporting

confidence: 76%

“…Williamson and Hall mentioned that crystallite size and stress can affect the broadness of diffraction lines. However, UDM model of W-H method clearly differentiate size and strain parameters in the assessment of peak broadening with due importance to peak width as a function of 2θ [33]. The strain 'ε' in LHA nano powders due to crystal dislocation was calculated using the mathematical expression given below:…”

Section: W-h Methodsmentioning

confidence: 99%

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Estimation of Lattice Strain in Lanthanum Hexa Aluminate Nanoparticles Using X-Ray Peak Profile Analysis

Yellapragada¹,

C²,

Jayaraman³

et al. 2021

RCMA

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This work confers to the preparation of Lanthanum Hexa Aluminate (LHA) nanoparticles by chemical precipitation and filtration technique followed by characterization studies conducted through X-ray peak profile analysis (XPPA) and Field Emission Scanning Electron Microscopy (FESEM) supported by Energy Dispersive Spectroscopy (EDS). From the X-ray diffraction (XRD) analysis, it has been observed that the prepared powder has hexagonal crystal structure. Further, Scherrer Method (S-M), modified Williamson–Hall (W-H), and Size–Strain Plot (SSP) methods have been implemented to all LHA reflection peaks for the comprehensive crystalline analysis. The influence of crystallite size, stress, strain, and energy density values on the peak broadening of LHA nanoparticles has been critically examined and discussed in the current work. In addition to regular mathematical models this paper also provides an insight into the calculation of Youngs modulus without tedious experimental procedure. The predicted crystallite size estimated from Scherrer’s formula, and W-H models are correlated to scanning electron microscopy results and observed that the average grain size of LHA nano particles estimated from SEM analysis, and models have less deviation in the present study.

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“…(7) is 298 GPa. The measured value is nearer to the LHA Young's modulus as reported by Bogdanov et al [33].…”

Section: W-h Methodssupporting

confidence: 76%

Section: W-h Methodsmentioning

confidence: 99%

Estimation of Lattice Strain in Lanthanum Hexa Aluminate Nanoparticles Using X-Ray Peak Profile Analysis

Yellapragada¹,

C²,

Jayaraman³

et al. 2021

RCMA

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“…At first glance (Table 2 and Figure 13), the elastic behavior of SGMZ appears to be quite similar to that of other crystals with the magnetoplumbite structure, such as Sc-doped hexaferrites 26 and rare-earth hexa-aluminates. 31 Common to these crystals is a moderate elastic anisotropy, as indicated by ratios c′ max /c′ min of about 1.35 of the extreme values of their longitudinal elastic stiffness c′(u) = u 1i u 1j u 1k u 1l c ijkl , with the minimum parallel to the 6-fold axis and the maximum within the hexagonal plane. The u 1i denote direction cosines.…”

Section: Segregationmentioning

confidence: 99%

“…As the electrostatic interactions in the R-blocks are weaker than those in the S-blocks (because of the lower valence of the incorporated cations (Ga 3+ and Sr 2+ )), the larger M−O bond distances, and the cation disorder, SGMZ behaves softer in this direction than in MgGa 2 O 4 spinel. Replacement of Ga 3+ by Al 3+ leads to a reduction of the unit-cell volume, 31 i.e., the mean bond distance M−O becomes smaller and the corresponding Coulombic interactions stronger, resulting in a significant increase of the mean elastic stiffness of hexa-aluminates compared to hexagallates. Larger differences are observed in the deviations from Cauchy relations (Figure 13), a second-rank tensorial invariant of the elasticity tensor with components g mn (see ref 36 for details).…”

Section: Segregationmentioning

confidence: 99%

Revisiting the Growth of Large (Mg,Zr):SrGa₁₂O₁₉ Single Crystals: Core Formation and Its Impact on Structural Homogeneity Revealed by Correlative X-ray Imaging

Guguschev

Richter

Brützam

et al. 2022

Crystal Growth & Design

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We demonstrate the growth of large (Mg,Zr):SrGa 12 O 19 (SGMZ) single crystals and use a combination of X-ray imaging techniques to analyze their structural and chemical homogeneity. Single-crystal cylinders with lengths and diameters up to about 2.5 cm are achieved. Our characterization of polished sections reveals a localized (0001) facet that is typically formed at the center of the growth interface. Such facets are seen as the key factor limiting the growth of large-area crystals with excellent structural quality due to local deviations in the segregation behavior of the dopants. We developed a lab-based X-ray diffraction imaging technique with high sensitivity that exposes subtle variations in lattice parameters and lattice tilts, which are attributed to changes in the chemical composition and the resulting elastic deformation. The relationship between unit-cell dimensions and composition is verified by micro X-ray fluorescence mapping. In this way, we find a Ga-rich center region with a reduced unit-cell volume that is surrounded by a ring of increased tilt and elastic strain. Furthermore, we observe a 6-fold in-plane anisotropy of dopant incorporation and tree-ring-shaped structures caused by macrosteps. With rocking curve widths below 23 arcsec in ∼90% of the crystal, SGMZ crystals are largely homogeneous and hence suitable for the preparation of high-quality substrates. For most applications, the substantially enhanced crystal size enabled by very high Mg and Zr codoping levels outweighs the issues related to concentration variations arising from their addition.

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Elastic properties of beryllium-lantanum hexaaluminate crystal, BeLaAl11O19

Cited by 2 publications

References 7 publications

Estimation of Lattice Strain in Lanthanum Hexa Aluminate Nanoparticles Using X-Ray Peak Profile Analysis

Estimation of Lattice Strain in Lanthanum Hexa Aluminate Nanoparticles Using X-Ray Peak Profile Analysis

Revisiting the Growth of Large (Mg,Zr):SrGa₁₂O₁₉ Single Crystals: Core Formation and Its Impact on Structural Homogeneity Revealed by Correlative X-ray Imaging

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Elastic properties of beryllium-lantanum hexaaluminate crystal, BeLaAl11O19

Cited by 2 publications

References 7 publications

Estimation of Lattice Strain in Lanthanum Hexa Aluminate Nanoparticles Using X-Ray Peak Profile Analysis

Estimation of Lattice Strain in Lanthanum Hexa Aluminate Nanoparticles Using X-Ray Peak Profile Analysis

Revisiting the Growth of Large (Mg,Zr):SrGa12O19 Single Crystals: Core Formation and Its Impact on Structural Homogeneity Revealed by Correlative X-ray Imaging

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Product

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Revisiting the Growth of Large (Mg,Zr):SrGa₁₂O₁₉ Single Crystals: Core Formation and Its Impact on Structural Homogeneity Revealed by Correlative X-ray Imaging