1995
DOI: 10.1080/08893119508039924
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A Survey on the Determination of Crystal Size in Powder Diffractometry

Abstract: Methods for the determination of crystal size from X-ray diffraction line broadening are reviewed and discussed. Emphasis is given in describing the crystal model involved in each method, since it provides a physical interpretation to the parameters arising from the mathematical profile analysis.

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Cited by 10 publications
(3 citation statements)
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“…Moreover, the Fourier transform of the image in that specific region evidenced the presence of many crystalline individuals. In this case the evident disagreement between the size of gold particles measured by HRTEM and that calculated by XRD could be explained taking into account that, by HRTEM, we observe the effective particles dimension, connected to domains of polycrystalline gold particles, whereas the XRD results are related to coherently scattering domains [24].…”
Section: Physicochemical Characterization Of the Catalystsmentioning
confidence: 83%
“…Moreover, the Fourier transform of the image in that specific region evidenced the presence of many crystalline individuals. In this case the evident disagreement between the size of gold particles measured by HRTEM and that calculated by XRD could be explained taking into account that, by HRTEM, we observe the effective particles dimension, connected to domains of polycrystalline gold particles, whereas the XRD results are related to coherently scattering domains [24].…”
Section: Physicochemical Characterization Of the Catalystsmentioning
confidence: 83%
“…Y is the total diffraction intensity; Q i is the individual diffraction intensity for each crystal part; n is the number of total diffraction peaks; R is the intensity of amorphous halo from non-crystalline part; G i and C i are Gaussian and Lorentz functions, respectively; f i is a fractional parameter; and a, b, c , and d are four constants. The crystallite size L is calculated by the Scherrer equation 39…”
Section: Methodsmentioning
confidence: 99%
“…In effect, because fix) is not independent of either the crystallite shape or size distribution (Wilson, 1949;GuErin and Alvarez, 1995), a proper value of constant K, which is a function of reflection and crystallite shape, must be adopted if a "true" value of D is desired. If particle shape and size uniformity are assumed, K and D can be calcuhlted for several peaks by least-squares fit, as adopted by Stanjek (1991) for hematite.…”
Section: Theoretical Backgroundmentioning
confidence: 99%