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Indexing a powder diffraction pattern
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, ch. 3.4, pp. 270-281 [ doi:10.1107/97809553602060000949 ]
d hkl values derived from the peaks in the diffraction pattern are selected and how reliable they are. Precision and accuracy in detecting peak positions are essential conditions for successful indexing (Altomare et al., 2008 ...

Traditional indexing methods
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 3.4.3.1, pp. 273-275 [ doi:10.1107/97809553602060000949 ]
proposed by Werner (1964), then successively refined (Werner et al., 1985) and made more robust and effective (Altomare et al., 2000, 2008, 2009). This approach, which works in the index space, was defined by Shirley as semi ...
     [more results from section 3.4.3 in volume H]

Examples of applications of indexing programs
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 3.4.4.6, pp. 278-280 [ doi:10.1107/97809553602060000949 ]

     [more results from section 3.4.4 in volume H]

The basic concepts of indexing
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 3.4.2, pp. 270-272 [ doi:10.1107/97809553602060000949 ]
and C, and 1 for P. S y is a factor equal to 6 for a cubic or a rhombohedral cell, 4 for a trigonal, hexagonal or tetragonal cell, 2 for an orthorhombic cell, and 1 for a monoclinic or triclinic cell. (3) WRIP20 (Altomare et al ...
     [more results from section 3.4.2 in volume H]

Introduction
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 3.4.1, pp. 270-270 [ doi:10.1107/97809553602060000949 ]
d hkl values derived from the peaks in the diffraction pattern are selected and how reliable they are. Precision and accuracy in detecting peak positions are essential conditions for successful indexing (Altomare et al., 2008 ...

Conclusion
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 3.4.5, pp. 280-280 [ doi:10.1107/97809553602060000949 ]


Solving crystal structures using reciprocal-space methods
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, ch. 4.2, pp. 395-413 [ doi:10.1107/97809553602060000957 ]
resolution. The peak-overlap problem also causes a significant reduction in the number of statistically independent experimental observations contained in the diffraction profile (Altomare et al., 1995 ; David, 1999). Thus we are very far from ...

The ALLTRIALS tool in EXPO: exploring all the phase sets
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 4.2.9.6, pp. 410-410 [ doi:10.1107/97809553602060000957 ]
 Å); 48% of independent observations in the pattern (Altomare et al., 1995); 1 S, 1 N, 3 O and 12 C atoms in the asymmetric unit. Fig. 4.2.7 shows the graphical display that supports the use of ALLTRIALS. In Fig. 4.2.7 (a) the 20 ...
     [more results from section 4.2.9 in volume H]

Systematic decomposition
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 4.2.4.3, pp. 400-400 [ doi:10.1107/97809553602060000957 ]
of severely overlapping reflections (Altomare et al., 2003). The clusters containing the reflections that are expected to play a minor role in DM applications, i.e. . those for which no constituent reflection falls among the largest reflections ...
     [more results from section 4.2.4 in volume H]

How direct methods work
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R., International Tables for Crystallography (2019). Vol. H, Section 4.2.3.4, pp. 397-399 [ doi:10.1107/97809553602060000957 ]
and are less effective that those for single-crystal data. A new figure of merit, an atom-matching-based FOM (AMB FOM), has recently been proposed (Altomare et al., 2011 a), coupled with a special decomposition procedure (Altomare et al., 2003 ...
     [more results from section 4.2.3 in volume H]

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