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  • Al/Si orderingvacancy orderingceramicssuperspaceincommensurate structures  (1)
  • Bayesian particle polishingbeam-induced motion correctioncryo-EMsingle-particle analysiselectron cryo-microscopy  (1)
  • International Union of Crystallography (IUCr)  (2)
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  • International Union of Crystallography (IUCr)  (2)
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  • 1
    Publication Date: 2018-11-09
    Description: A new method to estimate the trajectories of particle motion and the amount of cumulative beam damage in electron cryo-microscopy (cryo-EM) single-particle analysis is presented. The motion within the sample is modelled through the use of Gaussian process regression. This allows a prior likelihood that favours spatially and temporally smooth motion to be associated with each hypothetical set of particle trajectories without imposing hard constraints. This formulation enables the a posteriori likelihood of a set of particle trajectories to be expressed as a product of that prior likelihood and an observation likelihood given by the data, and this a posteriori likelihood to then be maximized. Since the smoothness prior requires three parameters that describe the statistics of the observed motion, an efficient stochastic method to estimate these parameters is also proposed. Finally, a practical algorithm is proposed that estimates the average amount of cumulative radiation damage as a function of radiation dose and spatial frequency, and then fits relative B factors to that damage in a robust way. The method is evaluated on three publicly available data sets, and its usefulness is illustrated by comparison with state-of-the-art methods and previously published results. The new method has been implemented as Bayesian polishing in RELION-3, where it replaces the existing particle-polishing method, as it outperforms the latter in all tests conducted.
    Keywords: Bayesian particle polishingbeam-induced motion correctioncryo-EMsingle-particle analysiselectron cryo-microscopy
    Electronic ISSN: 2052-2525
    Topics: Geosciences , Physics
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  • 2
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    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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