1976
DOI: 10.1107/s0021889876011928
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Application du lissage des raies de diffraction des rayons X à la séparation du doubletKα1Kα2

Abstract: It may be very useful to know a mathematical expression which helps reconstruct the X-ray diffraction profile. It is in fact easier to work on one relation I(0)=f(0) rather than on a series of experimental points.The relation proposed in this paper,gives a good correspondence between experimental values and the values calculated in the case of a monochromatic source. Its use still remains very simple in the case of a doublet, K~I K~2, which can be expressed as follows:Ir, l(x) is given by the previous expressi… Show more

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Cited by 14 publications
(7 citation statements)
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“…To a first approximation, the description of the spectral dispersion can be given by the proper combination of two Cauchy-like functions (Hoyt, 1932;Ekstein & Siegel, 1949). For the Ka doublet, rather than adopting an analytical representation including asymmetry parameters (Ladell, Parrish & Taylor, 1959;Ladell, Zagofsky & Pearlman, 1975), or the modulated Lorentzian function proposed by Mignot & Rondot (1976), we maintain for each of the Ka lines the simple approximate equation given by AS:…”
Section: The Methodsmentioning
confidence: 99%
“…To a first approximation, the description of the spectral dispersion can be given by the proper combination of two Cauchy-like functions (Hoyt, 1932;Ekstein & Siegel, 1949). For the Ka doublet, rather than adopting an analytical representation including asymmetry parameters (Ladell, Parrish & Taylor, 1959;Ladell, Zagofsky & Pearlman, 1975), or the modulated Lorentzian function proposed by Mignot & Rondot (1976), we maintain for each of the Ka lines the simple approximate equation given by AS:…”
Section: The Methodsmentioning
confidence: 99%
“…Approximating a solution of this problem, using a convolution of Gaussian and Lorentzian functions (the Voigt method) is rather difficult, so it is more effective to apply the approximations of the Voigt Function. The most popular functions fitted to the experimental data are Pseudo-Voight and Pearson VII, though the Rational Functions (Pyrros & Hubbard, 1983) or some modifications of Lorentzian (Mignot & Rondot, 1976;Young & Wiles, 1982) are also used. In peak shape analysis two more approximations must be considered: a procedure for 0^ fitting or its elimination (Delhez & Mittenmeijer, 1975;Pompa & Zirilli, 1982) and an assumption of angular dependence of fitted parameters (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…split function is taken as the arithmetic mean of the left and right FWHM parameters . (3) In addition to modeling the diffraction profiles, several other contributions in XRD profiles are also considered. They are a linear background with constant intensity (b) and slope (m) , the scaling factor (S) , and the intensity ratio of the and Q 2 lines (R) .…”
Section: Introductionmentioning
confidence: 99%