1946
DOI: 10.1063/1.1707771
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Particle Size Determination from X-Ray Line Broadening

Abstract: The x-ray line broadening method of determining particle size was compared with direct measurement on electron micrographs. By controlled heating of the carbonate, magnesium oxide particles were prepared from 50 to 1000A in diameter. Particle size calculated from x-ray data taken on a Geiger counter spectrometer agreed to ±10 percent with the microscope measurements. Mechanical mixtures of two different sizes were examined by the x-ray method, but the particle sizes could not be determined unless the two maxim… Show more

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Cited by 484 publications
(214 citation statements)
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“…With increasing Ru thickness these fractions did not change and also the absolute intensities divided by the thicknessess did not change. The full width at half maximum ͑FWHM͒ of the largest peak ͑002͒ showed a decrease ͑sharp-ening͒ with increasing thickness, in good agreement with the Scherrer equation 6 that relates the thickness of the crystallites to the FWHM of the Bragg peak. This implies that the Ru layer has columnar growth, which was confirmed by TEM measurements of the Ru 45 sample ͑Fig.…”
Section: Resultssupporting
confidence: 62%
“…With increasing Ru thickness these fractions did not change and also the absolute intensities divided by the thicknessess did not change. The full width at half maximum ͑FWHM͒ of the largest peak ͑002͒ showed a decrease ͑sharp-ening͒ with increasing thickness, in good agreement with the Scherrer equation 6 that relates the thickness of the crystallites to the FWHM of the Bragg peak. This implies that the Ru layer has columnar growth, which was confirmed by TEM measurements of the Ru 45 sample ͑Fig.…”
Section: Resultssupporting
confidence: 62%
“…Thus, Fe 0 nanoparticles may be stabilized on the external surface of zeolite. XRD-based evaluations of the particle size indicated the size of about 40 nm based on the Debye-Scherrer method (Birks & Friedman 1946). The comparison between XRD patterns of Ze-nZVI before and after reacting with nitrate indicated that Fe 0 peaks were weakened significantly.…”
Section: Methodsmentioning
confidence: 99%
“…This was further explored by DSC, and the DSC cooling curves of RHDPE and RHDPE/clay hybrids are shown in Figure 4. Based on Scherrer's equation, the crystalline thickness perpendicular to the reflection plane (L hkl ), the long period, can be calculated as 14,32 Kl M is the measured width of the diffraction beam (rad); b I is the instrument width (rad); K is the shape factor of crystalline thickness, related to b 0 and L hkl . When b 0 is defined as the half-height width of diffraction peaks, K ¼ 0.9.…”
Section: 15mentioning
confidence: 99%