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  • doped ceriadisorderpair distribution functionhigh-resolution X-ray powder diffractionpercolationhierarchysolid electrolyteselectron spin resonance  (2)
  • Al/Si orderingvacancy orderingceramicssuperspaceincommensurate structures  (1)
  • International Union of Crystallography (IUCr)  (3)
  • Public Library of Science (PLoS)
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  • International Union of Crystallography (IUCr)  (3)
  • Public Library of Science (PLoS)
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  • 1
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    Unknown
    International Union of Crystallography (IUCr)
    In: IUCrJ
    Publication Date: 2018-06-26
    Description: 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.
    Keywords: Al/Si orderingvacancy orderingceramicssuperspaceincommensurate structures
    Electronic ISSN: 2052-2525
    Topics: Geosciences , Physics
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  • 2
    Publication Date: 2015-08-01
    Description: A new hierarchical approach is presented for elucidating the structural disorder in Ce1−xGdxO2−x/2 solid solutions on different scale lengths. The primary goal of this investigation is to shed light on the relations between the short-range and the average structure of these materials via an analysis of disorder on the mesocopic scale. Real-space (pair distribution function) and reciprocal-space (Rietveld refinement and microstructure probing) analysis of X-ray powder diffraction data and electron spin resonance (ESR) investigations were carried out following this approach. On the local scale, Gd- and Ce-rich droplets (i.e. small regions a few ångströms wide) form, exhibiting either a distorted fluorite (CeO2) or a C-type (Gd2O3) structure in the whole compositional range. These droplets can then form C-type nanodomains which, for Gd concentrations xGd ≤ 0.25, are embedded in the fluorite matrix. At the site percolation threshold pC for a cubic lattice (xGd = pC ≃ 0.311), C-type nanodomains percolate inside each crystallite and a structural phase transformation is observed. When this occurs, the peak-to-peak ESR line width ΔHpp shows a step-like behaviour, which can be associated with the increase in Gd–Gd dipolar interactions. A general crystallographic rationale is presented to explain the fluorite-to-C-type phase transformation. The approach shown here could be adopted more generally in the analysis of disorder in other highly doped materials.
    Keywords: doped ceriadisorderpair distribution functionhigh-resolution X-ray powder diffractionpercolationhierarchysolid electrolyteselectron spin resonance
    Electronic ISSN: 2052-2525
    Topics: Geosciences , Physics
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  • 3
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    Unknown
    International Union of Crystallography (IUCr)
    In: IUCrJ
    Publication Date: 2015-08-23
    Keywords: doped ceriadisorderpair distribution functionhigh-resolution X-ray powder diffractionpercolationhierarchysolid electrolyteselectron spin resonance
    Electronic ISSN: 2052-2525
    Topics: Geosciences , Physics
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