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.
|Number of pages||8|
|Journal||Acta Crystallographica Section A: Foundations of Crystallography|
|Publication status||Published - Nov 2013|
All Science Journal Classification (ASJC) codes
- Structural Biology