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Quantitative texture analysis and combined analysis
Chateigner, D., Lutterotti, L. and Morales, M.  International Tables for Crystallography (2019). Vol. H, ch. 5.3, pp. 555-580 [ doi:10.1107/97809553602060000968 ]
... is freeware. Two other programs, Material Analysis Using Diffraction (MAUD; Lutterotti et al., 1999 ) and the General Structure Analysis System (GSAS ... lambda] cannot be infinite and is limited to a value L, the maximum degree of series expansion, which fixes the angular ... crystal reference frame. The number of coefficients and the extension L to which the series in (5.3.14 ) has to be ...

Examination of a solution
Chateigner, D., Lutterotti, L. and Morales, M.  International Tables for Crystallography (2019). Vol. H, Section 5.3.5.6, pp. 577-578 [ doi:10.1107/97809553602060000968 ]
Examination of a solution 5.3.5.6. Examination of a solution Using single-pattern refinement, a simple examination of the modelled and measured diagrams can suffice to detect refinement problems or refinement quality. When several hundreds of patterns are refined, such a comparison is cumbersome or simply impossible. One possibility to rapidly check ...
     [more results from section 5.3.5 in volume H]

Remarks
Chateigner, D., Lutterotti, L. and Morales, M.  International Tables for Crystallography (2019). Vol. H, Section 5.3.4.7, pp. 570-571 [ doi:10.1107/97809553602060000968 ]
Remarks 5.3.4.7. Remarks In most of the previous models, the formulations are only valid for axially distributed, single-component textures (with a cylindrical symmetry around the scattering vector, and for a Bragg-Brentano symmetric geometry), for which efficient corrections are obtained (O'Connor et al., 1991 ; CapkovŠ et al., 1993 ; Cern ...
     [more results from section 5.3.4 in volume H]

An example
Chateigner, D., Lutterotti, L. and Morales, M.  International Tables for Crystallography (2019). Vol. H, Section 5.3.3.3, pp. 568-569 [ doi:10.1107/97809553602060000968 ]
An example 5.3.3.3. An example Here, we illustrate magnetic quantitative texture analysis on an iron sample exhibiting magnetic saturation around 0.5T (Chateigner et al., 2010 ) that was initially not magnetized. Measurements were carried out on the D19 beamline at ILL first without and then with an applied magnetic field of 0.3T ...
     [more results from section 5.3.3 in volume H]

Reciprocal-space mapping
Chateigner, D., Lutterotti, L. and Morales, M.  International Tables for Crystallography (2019). Vol. H, Section 5.3.2.8, pp. 566-567 [ doi:10.1107/97809553602060000968 ]
Reciprocal-space mapping 5.3.2.8. Reciprocal-space mapping Reciprocal-space mapping (RSM) represents the localization of the momentum transfer in the sample reference frame (KA). The momentum-transfer vector q is defined by in which ki and ko are the incident and outgoing wavevectors, respectively. The goal of RSM is then ...
     [more results from section 5.3.2 in volume H]

Introduction
Chateigner, D., Lutterotti, L. and Morales, M.  International Tables for Crystallography (2019). Vol. H, Section 5.3.1, p. 555 [ doi:10.1107/97809553602060000968 ]
Introduction 5.3.1. Introduction For many solids, the growth of single crystals with sufficiently perfect crystallinity is not easy to manage, and is sometimes impossible. On the other hand, a perfectly randomly oriented powder is often impossible to obtain, or may even be undesirable if the anisotropic character of the sample is ...

Conclusions
Chateigner, D., Lutterotti, L. and Morales, M.  International Tables for Crystallography (2019). Vol. H, Section 5.3.6, p. 578 [ doi:10.1107/97809553602060000968 ]
Conclusions 5.3.6. Conclusions Classical quantitative texture analysis (and also residual stress, line broadening, phase composition etc.) becomes of questionable value for real samples that exhibit complex architectures with several phases and strong intra- and inter-phase peak overlapping. This is particularly true for poorly crystallized or nanocrystallized samples, for which line ...

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