Acta Crystallographica Section B

Structural Science

Volume 61, Part 2 (April 2005)

research papers

Acta Cryst. (2005). B61, 145-153 [ doi:10.1107/S0108768105001655 ]

Incommensurate crystallographic shear structure of Ba_xBi_2 - 2xTi_4 - xO_11 - 4x (x = 0.275)

Y. Michiue, A. Yamamoto, M. Onoda, A. Sato, T. Akashi, H. Yamane and T. Goto

Abstract: The title compound generates diffraction patterns which are indexable within the framework of the higher-dimensional description of incommensurate structures. However, it is difficult to discriminate the main reflections from the satellite ones. This paper has clarified that the structure can be treated as a strongly modulated structure with sawtooth-like modulation functions and is classified as an incommensurate crystallographic shear (CS) structure. The structure consists of domains isostructural to [beta] -Bi₂Ti₄O₁₁ and domain boundaries composed of TiO₆ octahedra. Ba and Bi ions are accommodated in the cavities between TiO₆ octahedra in the domain. Domain boundaries are aperiodically inserted, in contrast to the usual CS structures, forming an incommensurate structure.

Keywords: incommensurate structure; crystallographic shear structure; four-dimensional description; Farey tree.


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