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Bortel G, Tegze M, Faigel G. Constrained geometrical analysis of complete K-line patterns for calibrationless auto-indexing. J Appl Crystallogr 2021. [DOI: 10.1107/s1600576720014892] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022] Open
Abstract
Indexing of Kikuchi and Kossel lines is a crucial step in K-line pattern analysis. Previous approaches mostly rely on the knowledge of unit-cell parameters and experimental geometry. An auto-indexing procedure is introduced that is able to find the unknown lattice, its orientation and the indices of the lines. To achieve this, the unbiased extraction of the precise conical geometrical information from the patterns is combined with existing auto-indexing procedures developed in the field of crystallography. A subsequent lattice-constrained refinement of all lines to the experimental pattern yields reliable lattice and experimental parameters simultaneously. Beyond providing detailed mathematical formulae, the procedure is also demonstrated on an experimental Kossel line pattern.
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Hermida-Merino D, Portale G, Fields P, Wilson R, Bassett SP, Jennings J, Dellar M, Gommes C, Howdle SM, Vrolijk BCM, Bras W. A high pressure cell for supercritical CO₂ on-line chemical reactions studied with X-ray techniques. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2014; 85:093905. [PMID: 25273737 DOI: 10.1063/1.4895717] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
A versatile high pressure X-ray sample cell has been developed for conducting in situ time-resolved X-ray scattering experiments in the pressure and temperature regime required (pressures up to 210 bars and temperatures up to 120 °C) for chemical reactions in supercritical fluids. The large exit opening angle of the cell allows simultaneous performance of SAXS-WAXS experiments. Diamond windows are used in order to benefit from the combination of maximum strength, minimal X-ray absorption and chemical inertia. The sample cell can also be utilised for X-ray spectroscopy experiments over a wide range of photon energies. Results of the online synthesis of a block copolymer, poly(methyl methacrylate-block-poly(benzyl methacrylate), by Reversible Addition-Fragmentation Chain Transfer (RAFT) in a supercritical CO2 dispersion polymerisation will be discussed. The contribution of the density fluctuations, as function of temperature, to the X-ray scattering signal has been quantified in order to allow appropriate background subtractions.
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Affiliation(s)
- Daniel Hermida-Merino
- DUBBLE@ESRF, Netherlands Organisation for Scientific Research (N.W.O.), CS40220, 38043, Grenoble, Cedex 9, France
| | - Giuseppe Portale
- DUBBLE@ESRF, Netherlands Organisation for Scientific Research (N.W.O.), CS40220, 38043, Grenoble, Cedex 9, France
| | - Peter Fields
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
| | - Richard Wilson
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
| | - Simon P Bassett
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
| | - James Jennings
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
| | - Martin Dellar
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
| | - Cedric Gommes
- Department of Chemical Engineering, University of Liège B6A, allée du 6 Août 3, B-4000 Liège, Belgium
| | - Steven M Howdle
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
| | | | - Wim Bras
- DUBBLE@ESRF, Netherlands Organisation for Scientific Research (N.W.O.), CS40220, 38043, Grenoble, Cedex 9, France
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Bauch J, Henschel F, Schulze M. Automatic detection and high resolution fine structure analysis of conic X-ray diffraction lines. CRYSTAL RESEARCH AND TECHNOLOGY 2011. [DOI: 10.1002/crat.201000608] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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Böhling M, Bauch J, Ullrich HJ. Effect of the cutting technique on the residual stress distribution of cut edges in FeSi3 transformer sheets. CRYSTAL RESEARCH AND TECHNOLOGY 2009. [DOI: 10.1002/crat.200900393] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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Avetyan KT, Levonyan LV, Arakelyan MM, Semerjian HS, Grigoryan PA, Hovhannisyan GM. The features of identifying lines in a diffraction image formed by a widely divergent X-ray beam. CRYSTALLOGR REP+ 2009. [DOI: 10.1134/s1063774509030043] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Avetyan KT, Arakelyan MM. A method for implementing the diffraction of a widely divergent X-ray beam. CRYSTALLOGR REP+ 2008. [DOI: 10.1134/s1063774508060059] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Böhling M, Bauch J. Precise determination of residual stresses in FeSi3 electrical sheets in the vicinity of laser scratches with high lateral resolution. CRYSTAL RESEARCH AND TECHNOLOGY 2007. [DOI: 10.1002/crat.200710938] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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