TY - JOUR
T1 - Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing
AU - Oishi-Tomiyasu, R.
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/11
Y1 - 2013/11
N2 - 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 a topograph. A topograph is a graph whose edges are associated with a set of four lattice vectors satisfying Ito's equation 2(|l 1 *|2 + |l 2 *|2) = |l 1 * + l 2 *|2 + |l 1 *-l 2 *|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.
AB - 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 a topograph. A topograph is a graph whose edges are associated with a set of four lattice vectors satisfying Ito's equation 2(|l 1 *|2 + |l 2 *|2) = |l 1 * + l 2 *|2 + |l 1 *-l 2 *|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.
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U2 - 10.1107/S0108767313021740
DO - 10.1107/S0108767313021740
M3 - Article
C2 - 24132221
AN - SCOPUS:84885911575
VL - 69
SP - 603
EP - 610
JO - Acta Crystallographica Section A: Foundations and Advances
JF - Acta Crystallographica Section A: Foundations and Advances
SN - 0108-7673
IS - 6
ER -