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Search query: Scherrer formula

469 articles match your search "Scherrer formula"

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The deduction of a simple method for determining the most probable size and the size dispersion in powder samples based on scattering (SAXS) and diffraction (XRD) size results is presented. Analytical formulas for log-normal distribution probability functions are given.

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Various aspects of the application of the Scherrer formula to grain-size analysis in thin films of soft materials are discussed within the methodology of grazing-incidence small- and wide-angle scattering and in conjunction with the use of area detectors.

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The Python extension CDEF is a suitable evaluation tool for experimentalists to calculate single-particle small-angle X-ray scattering profiles with satisfactory accuracy, as shown by comparison with common well-known analytical form factors. Using different complex cubic models, a direct comparison between CDEF and the already established SPONGE with respect to the size distribution of imperfect Au nanocubes showed a clear agreement of the results.

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The Caglioti function stemming from 1959 is not well suited to describing the resolution function of modern powder diffraction equipment with large 2D detectors. A new function is derived and verified, replacing the Caglioti function for this very popular geometry.

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Simulations using the Debye formula have been performed to explain the X-ray powder diffraction patterns of stress-free and homogeneous samples of nitrogen-expanded austenite, synthesized by low-temperature gaseous nitriding of stainless steel.

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An improvement in X-ray stress measurement using Debye–Scherrer rings is proposed. Even if the specimen is coarse grained, in-plane averaging can improve the accuracy of the measurement.

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Two modulators have been designed, assembled, magnetically tested and installed at SwissFEL in order to implement laser-based seeding at the soft X-ray beamline Athos.

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A Fourier transform of a Debye-Scherrer diffraction pattern can be used to estimate the characteristic size of nanoparticle samples. This method is insensitive to nanoparticle structure and therefore preferable to the Scherrer formula (which is unreliable because it assumes an underlying size-limited perfect crystal structure).

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Debye's works on the origin and evolution of the scattering equation and its first uses are briefly re-examined. The career of the great scientist and some of his other numerous and diverse contributions to science are also reviewed.
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