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 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.
| Original language | English |
|---|---|
| Pages (from-to) | 603-610 |
| Number of pages | 8 |
| Journal | Acta Crystallographica Section A: Foundations of Crystallography |
| Volume | 69 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Nov 1 2013 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Structural Biology
Cite this
Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing. / Tomiyasu, Ryoko.
In: Acta Crystallographica Section A: Foundations of Crystallography, Vol. 69, No. 6, 01.11.2013, p. 603-610.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing
AU - Tomiyasu, Ryoko
PY - 2013/11/1
Y1 - 2013/11/1
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.
UR - http://www.scopus.com/inward/record.url?scp=84885911575&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84885911575&partnerID=8YFLogxK
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 -