2021
DOI: 10.1016/j.mseb.2020.114830
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Williamson-hall analysis in estimation of crystallite size and lattice strain in Bi1.34Fe0.66Nb1.34O6.35 prepared by the sol-gel method

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Cited by 71 publications
(24 citation statements)
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“…The average crystallite size (D in nm) has been determined by means of the well-known Debye-Scherrer's formula given by [25]:…”
Section: X-ray Diffraction Analysismentioning
confidence: 99%
“…The average crystallite size (D in nm) has been determined by means of the well-known Debye-Scherrer's formula given by [25]:…”
Section: X-ray Diffraction Analysismentioning
confidence: 99%
“…The contribution of crystallite size ( D ) and lattice strain to the broadening of diffraction peaks can be expressed by the following Williamson–Hall (W–H) equation. 17 where ε is the microstrain, β hlk corresponds to the full width at half maximum (FWHM) of the diffraction peak for the ( hlk ) plane, K is the shape factor ( K = 0.9), λ is the Cu Kα radiation wavelength (0.1549 nm) and D W–H is crystallite size. The crystallite size and the microstrain can be obtained from the intercept ( Kλ / D W–H ) and the slope (4 ε ) in the W–H plot of β hlk cos θ versus sin θ , respectively.…”
Section: Resultsmentioning
confidence: 99%
“…The diffraction peak position of Fe 1.5 Cr 0.5 O 3 is shied to the right compared to Fe 2 O 3 , indicating that Cr 3+ ions are well substituted into the hematite unit cells.As increasing the temperature, the crystallinity increases, so the width of the peak narrows and the intensity increases. The contribution of crystallite size (D) and lattice strain to the broadening of diffraction peaks can be expressed by the following Williamson-Hall (W-H) equation 17.…”
mentioning
confidence: 99%
“…The lattice parameters ( a and c ) were calculated using the Bragg equation and the lattice geometry (Equations (3) and (4)) based on the HCP standard unit cell plane and the spacing relationship from (002) and (211) reflections [ 22 , 28 ]: …”
Section: Resultsmentioning
confidence: 99%