Atomic Modulation Functions, Periodic Nodal Surfaces and the three-dimensional incommensurately modulated (1 − x)Bi2O3 · xNb2O5, 0.06 < x < 0.23, solid solution
- 1 May 1999
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Kristallographie - Crystalline Materials
- Vol. 214 (5) , 296-304
- https://doi.org/10.1524/zkri.1999.214.5.296
Abstract
Superspace group symmetry is used to parameterize the compositional and displacive degrees of freedom associated with the complex, three-dimensional incommensurately modulated (1 − x)Bi2O3 · xNb2O5, 0.06 < x < 0.23, type II solid solution. The metal and oxygen ion Atomic Modulation Functions are shown to be closely related to the so-called D Periodic Nodal Surface. The structural consequences of this shape for real three-dimensional physical space are spelt out and used to test the structural plausibility of previously proposed structural models.Keywords
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