| Session | ||
MS-44: Beyond pure point diffraction: Theory and application of diffuse scattering
Invited: Chrizaldi Neil Manibo (Germany), Ella Mara Schmidt (Germany) | ||
| Session Abstract | ||
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Traditionally crystallography was concerned with diffraction patterns exhibiting a set of distinct Bragg peaks. Following the discovery of quasicrystals a lot of different aperiodic structures and their diffraction patterns have been studied. Apart from pure point diffraction, systems with purely singular or absolutely continuous spectrum have been found, as well as systems with mixed spectra. On the other hand, experimentalists become more and more interested in diffuse scattering. Although a lot of progress has been made in the last decades, our knowledge of matter and its diffraction properties is still far from complete. This microsymposium intends to bring together mathematicians and experimentalists to present their new results and exchange ideas to improve our understanding of the various kinds of diffraction spectra. For all abstracts of the session as prepared for Acta Crystallographica see PDF in Introduction, or individual abstracts below. | ||
| Introduction | ||
| Presentations | ||
10:20am - 10:25am
ID: 1775 / MS-44: 1 Introduction Oral/poster Introduction to session 10:25am - 10:55am
ID: 276 / MS-44: 2 Bursary application Invited lecture to session MS: Beyond pure point diffraction: Theory and application of diffuse scattering Keywords: Mathematical diffraction, aperiodic tilings, absolutely continuous spectrum The mathematics of absolutely continuous diffraction Bielefeld University, Bielefeld, Germany Bibliography
1. M. Baake, F. Gaehler, N. Mañibo, Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction, Commun. Math. Phys. 370 (2019) 591--635. 2. M. Baake, U. Grimm, N. Mañibo, Spectral analysis of a family of binary inflation rules, Lett. Math. Phys. 108 (2018) 1783-1805 3. N. Mañibo, Lyapunov exponents for binary substitutions of constant length, J. Math. Phys. 58 (2017) 113504 4. M. Baake, M. Coons, N. Mañibo, Binary substitutions of constant length and Mahler measures of Borwein polynomials, in From Analysis to Visualization, B. Sims, et.al. (eds.), in press, Springer (2020) External Resource: https://www.xray.cz/iucrv/vidp.asp?id=325
10:55am - 11:25am
ID: 401 / MS-44: 3 Bursary application Oral/poster MS: Beyond pure point diffraction: Theory and application of diffuse scattering, Disordered materials: spectroscopic and scattering techniques Keywords: diffuse scattering, mean field theory Mean field theory calculations to model single crystal diffuse scattering University of Oxford, Oxford, United Kingdom Bibliography
2021 Hua, X., P.K., Gong, C., Chater, P.A., Schmidt, E. M. et al. Nature communications, 12: 1-11 2020 Berlinghof, M., Langner, S., Harreiß, C., Schmidt, E. M. et al. Zeitschrift für Kristallographie-Crystalline Materials, 235: 15-28. 2019 Schmidt, E. M. & Neder, R. B. Physical Review B 100: 054201 2017 Schmidt, E. & Neder, R. B. Acta Crystallographica, A 73: 231-237. 2017 Schiener, A., Schmidt, E., Bergmann, C., Seifert, S., Zahn, D., Krach, A. & Magerl, A. Zeitschrift für Kristallographie-Crystalline Materials 232: 39-46. 2016 Zobel, M., Windmüller, A., Schmidt, E. M., Götz, K., Milek, T., Zahn, D. & Neder, R. B. CrystEngComm 18: 2163-2172. 2016 Krüger, B., Schmidt, E. M. & Mecke, K. Journal of Statistical Physics 163: 514-543. 2015 Krüger, B., Schmidt, E. M. & Mecke, K. New Journal of Physics 17: 023013. External Resource: https://www.xray.cz/iucrv/vidp.asp?id=326
11:25am - 11:45am
ID: 617 / MS-44: 4 Physics and fundamental crystallography Oral/poster MS: Beyond pure point diffraction: Theory and application of diffuse scattering Posters only: Physical and fundamental crystallography (if it does not fit to any specific topics) Keywords: localized X-ray modes, Kossel line patterns, optical Kossel lines KOSSEL LINES AND X-RAY LOCALIZED CONICAL MODES Landau Institute for Theoretical Physics, Moscow, Russian Federation External Resource: https://www.xray.cz/iucrv/vidp.asp?id=327
11:45am - 12:05pm
ID: 1210 / MS-44: 5 Physics and fundamental crystallography Oral/poster MS: Beyond pure point diffraction: Theory and application of diffuse scattering Posters only: Physical and fundamental crystallography (if it does not fit to any specific topics) Keywords: 3DED, HAADF-STEM, material defects, correlated disorder, diffuse scattering Characterization of the correlated disorder in Ge2Bi4Te7 University of Antwerp, Wommelgem, Belgium External Resource: https://www.xray.cz/iucrv/vidp.asp?id=328
12:05pm - 12:25pm
ID: 1272 / MS-44: 6 Methods and instruments Oral/poster MS: Beyond pure point diffraction: Theory and application of diffuse scattering Keywords: Single crystal diffuse scattering, disorder engineering, local structure, 3D-PDF Tuning of disordered local structure in Prussian Blue analogues ETH Zurich, Zurich, Switzerland External Resource: https://www.xray.cz/iucrv/vidp.asp?id=329
12:25pm - 12:45pm
ID: 754 / MS-44: 7 Physics and fundamental crystallography Oral/poster MS: Beyond pure point diffraction: Theory and application of diffuse scattering Keywords: reverse Monte Carlo; nano-size effect; peak profile tabulation; finite resolution effect Implementation for coping with sample and instrument effects for reverse Monte Carlo modelling of total scattering data Oak Ridge National Laboratory, Knoxville, United States of America External Resource: https://www.xray.cz/iucrv/vidp.asp?id=330
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