Diffraction Line‐Profile Analysis

Mittemeijer, E. J.; Welzel, U.

doi:10.1002/9783527649884.ch4

Cited by 21 publications

(28 citation statements)

References 129 publications

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“…The modified equation takes into account two profiles: firstly, that of the reflexes associated with the small size of the crystallites (which is described by Cauchy's function), and secondly, that associated with the lattice deformation (which is described by a Gaussian function) [17,18]. Therefore the equation takes the following form:…”

Section: Methodsmentioning

confidence: 99%

Analysis of the structure (XRD) and microstructure (TEM, SEM, AFM) of bulk amorphous and nanocrystalline alloys based on FeCoB

Gruszka

Nabiałek

Błoch

et al. 2015

International Journal of Materials Research

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Control of the formation process of amorphous materials, and the lowering of their internal energy as a result of atomic transition through subsequent potential barriers describing metastable states, represent direct factors in designing the functional properties of these modern materials. This paper presents the results of tests carried out on the group of four alloys: Fe 62-x Co 10 Y 8 Me x B 20 (where: Me = Cr, Be or Cu; x = 0 or 1), obtained by a suction-casting method. The bulk amorphous samples were obtained in the form of plates of thickness 0.5 mm. The structure and microstructure of the investigated plates, in the as-quenched and after-annealing states, were studied using: scanning and transmission electron microscopy, atomic force microscopy and X-ray diffractometry. Moreover, for heat-treated samples, Rietveld's analysis was performed. Additionally, the combination of microscopy and X-ray studies allowed for the observation of diffusion effects occurring in the material.

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Section: Methodsmentioning

confidence: 99%

Analysis of the structure (XRD) and microstructure (TEM, SEM, AFM) of bulk amorphous and nanocrystalline alloys based on FeCoB

Gruszka

Nabiałek

Błoch

et al. 2015

International Journal of Materials Research

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“…DV ij are: the atomic fraction, the lattice constant of the i th element, the unit cell volume of the i th element and the difference in the unit cell volumes between the i th and the j th elements, respectively. It is to be noted that the intensity referred to above is the area under the Bragg peak (integrated intensity) above the baseline [14]. Feng and Widom [15] have used variance as a measure of lattice distortion given by the following formula.…”

Section: Introductionmentioning

confidence: 99%

A critical analysis of the X-ray diffraction intensities in concentrated multicomponent alloys

Naorem

Gupta

Mantri

et al. 2019

International Journal of Materials Research

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A critical analysis of the X-ray diffraction intensities in concentrated multicomponent alloys The decrease in the X-ray diffraction Bragg peak intensity from concentrated multicomponent alloys (CMA), has been modeled in literature akin to the effect of temperature. In the current work, experiments and computations are used to comprehend the effect of atomic disorder in CMA on the Bragg peaks of powder diffraction patterns. Ni-Co-Fe-Cr-Mn and Cu-Ni-Co-Fe-V have been used as model systems for the study. It is proved that the intensity decrease is not insignificant, but is not anomalous either. A recipe is evolved to compare the Bragg peak intensities across the alloys of a CMA. It is demonstrated that it is incorrect to model the effect of an increase in atomic disorder in a CMA, as a temperature effect. A 'good measure' of lattice distortion is identified and further it is established that full width half maximum is a good measure of the bond length distortion. It is demonstrated that the true strain due to bond length distortion is of significantly lower magnitude than that given by a priori measures of lattice strain. In the scheme of categorization of defects in crystals, it is argued that CMA is a separate class (as distinct from type-I and type-II defects); which should be construed as a defected solid, rather than a defect in a solid.

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“…Larger sized misfitting particles can be associated with more extended misfit-strain fields, which evoke contrast in diffraction-contrast images recorded by transmission electron microscopy (Bor et al, 2002) and broadening of diffraction lines [van Mourik et al, 1988;van Berkum et al, 1996; see in particular ch. 4 of Mittemeijer & Welzel (2012)]. …”

Section: Introduction: Micro-and Macrostrains; Coherent and Incoherenmentioning

confidence: 99%

“…The hydrostatic macroscopic strain causes a (distinct) change of the (average) lattice constant of a phase. Countless observations of diffraction-line broadening due to microstrain have been reported; in fact, analysis of diffractionline broadening has become a standard method of microstructural characterization (Mittemeijer & Welzel, 2012). However, little experimental work has been devoted to the change of the (average) macroscopic lattice parameter by misfit strain Mittemeijer & van Gent, 1984;Zhou et al, 1991;Mü ller et al, 1997;Timmermans & Froyen, 1999;Chechenin et al, 2002;Bruno et al, 2003;Lu et al, 2007).…”

Section: Introduction: Micro-and Macrostrains; Coherent and Incoherenmentioning

confidence: 99%

Misfit-induced changes of lattice parameters in two-phase systems: coherent/incoherent precipitates in a matrix

et al. 2016

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Elastic accommodation of precipitation-induced or thermally induced misfit leads to lattice-parameter changes in crystalline multi-phase systems. Formulae for calculation of such misfit-induced lattice-parameter changes are presented for the aggregate (matrix + second-phase particles) and for the individual matrix and second phase, recognizing the occurrence of either coherent or incoherent diffraction by the matrix and second-phase particles. An overview and an (re)interpretation on the above basis is presented of published lattice-parameter data, obtained by X-ray diffraction analyses of aggregates of matrix plus secondphase particles. Examples for three types of systems consisting of a matrix with misfitting second-phase particles are dealt with, which differ in the origin of the misfit (precipitation or thermally induced) and in the type of diffraction (coherent or incoherent diffraction of matrix plus second-phase particles). The experimental data are shown to be in good to very good agreement with predictions according to the current treatment.

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Diffraction Line‐Profile Analysis

Cited by 21 publications

References 129 publications

Analysis of the structure (XRD) and microstructure (TEM, SEM, AFM) of bulk amorphous and nanocrystalline alloys based on FeCoB

Analysis of the structure (XRD) and microstructure (TEM, SEM, AFM) of bulk amorphous and nanocrystalline alloys based on FeCoB

A critical analysis of the X-ray diffraction intensities in concentrated multicomponent alloys

Misfit-induced changes of lattice parameters in two-phase systems: coherent/incoherent precipitates in a matrix

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