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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 ]
... based on two main assumptions about the electron density [rho](r): (1) positivity: [rho](r) is everywhere positive; and (2) atomicity: [rho](r) corresponds to discrete atoms. Harker & Kasper (1948 ) first demonstrated ...

Conclusion
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 3.4.5, p. 280 [ doi:10.1107/97809553602060000949 ]
Conclusion 3.4.5. Conclusion Indexing a powder diffraction pattern is sometimes described as a `gateway technology', because the determination of the cell parameters is so fundamental: if no cell has been identified the execution of the subsequent steps of the structure solution process is impossible, and if a wrong cell has been ...

Indexing using N-TREOR09
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 3.4.4.6.2, pp. 279-280 [ doi:10.1107/97809553602060000949 ]
... J. P., Fitch, A. N., Fox, G. C. & Von Dreele, R. B. (2005). Synchrotron X-ray powder diffraction study of ... B., Shankland, K., David, W. I. F., Tunega, D. & Resel, R. (2001). Decafluoroquarterphenyl - crystal and molecular structure solved from X ...
     [more results from section 3.4.4 in volume H]

Grid-search method
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 3.4.3.2.2.3, p. 275 [ doi:10.1107/97809553602060000949 ]
... the disadvantage of being slow (Shirley, 2003 ). References Shirley, R. (2003). Overview of powder-indexing program algorithms (history and ...
     [more results from section 3.4.3 in volume H]

Geometrical ambiguities
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 3.4.2.2, p. 272 [ doi:10.1107/97809553602060000949 ]
... group determination. In Powder Diffraction Theory and Practice, edited by R. E. Dinnebier & S. J. L. Billinge, pp. 206-226. Cambridge ... Cryst. 24, 1076-1078.GoogleScholar Kroll, H., Stöckelmann, D. & Heinemann, R. (2011). Analysis of multiple solutions in powder pattern indexing ... Experimentalphysik, Vol. 7, Part 1. Leipzig: Akademische Verlagsgesellschaft.GoogleScholar Oishi-Tomiyasu, R. (2014a). Method to generate all the geometrical ambiguities ...
     [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, p. 270 [ doi:10.1107/97809553602060000949 ]
... group determination. In Powder Diffraction Theory and Practice, edited by R. E. Dinnebier & S. J. L. Billinge, pp. 206-226. Cambridge ... eines Kristallsystems durch Rontgenstrahlen. Phys. Z. 18, 509-515.GoogleScholar Shirley, R. (2003). Overview of powder-indexing program algorithms (history and ...

Conclusions
Altomare, A., Cuocci, C., Moliterni, A. and Rizzi, R.  International Tables for Crystallography (2019). Vol. H, Section 4.2.10, p. 410 [ doi:10.1107/97809553602060000957 ]
Conclusions 4.2.10. Conclusions RS methods, the best choice for the solution of small- and medium-sized crystal structures from single-crystal diffraction data, can be modified to solve structures from powder data as well. In particular, the phasing process and procedures for optimization of the structural model are key in dealing ...

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