Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing-Reference-Cited by-同舟云学术

Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing

Published:2013-10-01 Issue:6 Volume:69 Page:603-610
ISSN:0108-7673
Container-title:Acta Crystallographica Section A Foundations of Crystallography
language:
Short-container-title:Acta Cryst Sect A

Author:

Oishi-Tomiyasu R.

Abstract

This paper presents several general properties of systematic absences that are available before unit-cell parameters and the space group have been determined. The properties are given in the form of distribution rules of Miller indices corresponding to systematic absences on atopograph. A topograph is a graph whose edges are associated with a set of four lattice vectors satisfying Ito's equation 2(|l1*|2+ |l2*|2) = |l1*+l2*|2+ |l1*−l2*|2. It is possible to integrate global information about extinct reflections by using topographs. As an example of the application of these rules, a new powder auto-indexing algorithm is introduced, focusing on its theoretical aspects.

Publisher

International Union of Crystallography (IUCr)

Subject

Structural Biology

Link

http://journals.iucr.org/a/issues/2013/06/00/sc5063/sc5063.pdf

Reference13 articles.

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2. Hahn, Th. (1983). Editor. International Tables for Crystallography, Vol. A. Dordrecht: Kluwer.

3. A General Powder X-Ray Photography

4. Milnor, J. (1971). Introduction to Algebraic K-theory. Annals of Mathematical Studies, edited by P. A. Griffiths, J. N. Mather & E. M. Stein. Princeton University Press.

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