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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 ]
... for a primitive P lattice). Rp is the profile R factor (Young, 1993 ). Br is a factor arbitrarily set to 6 for F and R Bravais lattices, 4 for I, 2 for A, B and ... distances of A and A' from O, respectively, and . R can be derived as The method is applied as ...

Graphical tools in EXPO
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.9.7, p. 410 [ doi:10.1107/97809553602060000957 ]
Graphical tools in EXPO 4.2.9.7. Graphical tools in EXPO A user-friendly graphical interface supports all the principal procedures of the EXPO program, and can be used to visualize and to check the various steps of the solution process and to modify the default choices performed by the program. Some graphical ...
     [more results from section 4.2.9 in volume H]

Resolution bias modification (RBM)
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.8.3, pp. 405-406 [ doi:10.1107/97809553602060000957 ]
... Cuocci, Giacovazzo, Kamel et al., 2008 ; Altomare, Cuocci, Giacovazzo, Moliterni & Rizzi, 2008 ), reciprocal space (Altomare, Cuocci et al., 2009 ) and with ... the authors to propose the RAMM method (Altomare, Cuocci, Moliterni & Rizzi, 2013 ), which skips the phasing process by direct methods and ... A., Cuocci, C., Giacovazzo, C., Kamel, G. S., Moliterni, A. & Rizzi, R. (2008). Minimally resolution biased electron-density maps. ...
     [more results from section 4.2.8 in volume H]

Maximum-entropy methods
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.7, pp. 403-404 [ doi:10.1107/97809553602060000957 ]
... overlap as a vector F in an n-dimensional space R n (Bricogne, 1991 ) as where n = 2ma + mc is the ... the overlap. F can be visualized as a hypersphere in R n. A total of m - 1 splitting angles , , which are ... Direct Methods in Crystallography, edited by M. F. C. Ladd & R. A. Palmer, pp. 23-92. New York: Plenum Press.GoogleScholar ...

Charge flipping
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.6, pp. 401-403 [ doi:10.1107/97809553602060000957 ]
... 47-53.GoogleScholar Bauschke, H. H., Combettes, P. L. & Luke, D. R. (2002). Phase retrieval, error reduction algorithm, and Fienup variants ... 1334-1335.GoogleScholar Bauschke, H. H., Combettes, P. L. & Luke, D. R. (2004). Finding best approximation pairs relative to two closed ...

The use of the Patterson function for estimating integrated intensities
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.5.1, p. 401 [ doi:10.1107/97809553602060000957 ]
The use of the Patterson function for estimating integrated intensities 4.2.5.1. The use of the Patterson function for estimating integrated intensities Patterson-function information has been used to improve the estimates of the integrated intensities of reflections. David (1987 ) proposed two approaches based on: (1) maximization of the entropy of the ...
     [more results from section 4.2.5 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, p. 400 [ doi:10.1107/97809553602060000957 ]
... trials (Altomare et al., 2011a ). References Altomare, A., Caliandro, R., Cuocci, C., da Silva, I., Giacovazzo, C., Moliterni, A. G. G. & Rizzi, R. (2004). The use of error-correcting codes for ...
     [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 ]
... of phases may give ABSFOM in the range 1.0-1.4. R[alpha] should be a minimum for the correct set of ... methods. J. Appl. Cryst. 29, 341-345.GoogleScholar Altomare, A., Caliandro, R., Cuocci, C., da Silva, I., Giacovazzo, C., Moliterni, A. G. G. & Rizzi, R. (2004). The use of error-correcting codes ...
     [more results from section 4.2.3 in volume H]

Intensity extraction for RS methods
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.2, p. 395 [ doi:10.1107/97809553602060000957 ]
... Kristallogr. 219, 803-812.GoogleScholar Carrozzini, B., Giacovazzo, C., Guagliardi, A., Rizzi, R., Burla, M. C. & Polidori, G. (1997). Solving crystal structures ...

Introduction
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.1, p. 395 [ doi:10.1107/97809553602060000957 ]
Introduction 4.2.1. Introduction The aim of this chapter is to provide the necessary theoretical background and the practical tools for solving crystal structures from powder-diffraction data using reciprocal-space (RS) methods. RS methods are so called because they work in reciprocal space in the following general way: (1) The unit ...

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