Exploiting superspace to clarify vacancy and Al/Si ordering in mullite

IUCrJ

Etxebarria, I.¹  Klar, P.B.² 

[1]Departamento de Fsica Aplicada II, Facultad de Ciencia y Tecnologa, Universidad del Pas Vasco UPV/EHU, Apartado 644, Bilbao 48080, Spain

[2]Departamento de Fsica de la Materia Condensada, Facultad de Ciencia y Tecnologa, Universidad del Pas Vasco UPV/EHU, Apartado 644, Bilbao 48080, Spain

关键词: AL/SI ORDERING;    VACANCY ORDERING;    CERAMICS;    SUPERSPACE;    INCOMMENSURATE STRUCTURES;   

DOI  :  10.1107/S2052252518007467

学科分类：数学（综合）

来源: International Union of Crystallography

【 摘 要 】

Synchrotron single-crystal X-ray diffraction has revealed diffuse scattering alongside sharp satellite reflections for different samples of mullite (Al4+2xSi2−2xO10−x). Structural models have been developed in (3+1)-dimensional superspace that account for vacancy ordering and Al/Si ordering based on harmonic modulation functions. A constraint scheme is presented which explains the crystal-chemical relationships between the split sites of the average structure. The modulation amplitudes of the refinements differ significantly by a factor of ∼3, which is explained in terms of different degrees of ordering, i.e. vacancies follow the same ordering principle in all samples but to different extents. A new approach is applied for the first time to determine Al/Si ordering by combining density functional theory with the modulated volumes of the tetrahedra. The presence of Si–Si diclusters indicates that the mineral classification of mullite needs to be reviewed. A description of the crystal structure of mullite must consider both the chemical composition and the degree of ordering. This is of particular importance for applications such as advanced ceramics, because the physical properties depend on the intrinsic structure of mullite.

【 授权许可】

CC BY