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  • 1
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 27 (1994), S. 1030-1038 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The k-space resolution function of a triple-crystal diffractometer is calculated for an arrangement of three perfect silicon single crystals Bragg diffracting in nondispersive Laue geometry. A comparison is made with the results of measurements using synchrotron radiation in the energy range from 80 to 150 keV. In this case, absorption is very weak and according to dynamical theory the width of the diffraction pattern of thick perfect single crystals is proportional to the wavelength λ, whereas its Lorentzian tails are proportional to λ2. Together with the fact that the Bragg angles are only of the order of 2°, this leads to a concentration of the starlike k-space resolution function into a narrow band parallel to the reciprocal-lattice vector G. For diffraction of 80 keV synchrotron radiation at the silicon 111 reflection, the full width at half-maximum (FWHM) of the intensity distribution in the scattering plane is 1.1 × 10−5 Å−1 perpendicular to G and 2.2 × 10−4 Å−1 parallel to G. The observed differences in the contributions from monochromator and analyzer crystal to the resolution function are explained by the finite width of the electronic window of the detector counting chain and the non-Bragg scattering contribution from the crystals. If annealed Czochralski-grown silicon single crystals with a mosaicity of 3̃′′ are used as monochromator and analyzer, the resolution is reduced by one order of magnitude, but for studies of imperfect samples or of diffuse scattering large gains in intensity can be accomplished this way.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1600-5775
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 28 (1995), S. 729-737 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The k-space resolution function of a new triple-crystal diffractometer for high-energy synchrotron radiation is calculated for an arrangement of three perfect silicon crystals diffracting in dispersive Laue geometry. A comparison is made with the results of measurements using 100 keV synchrotron radiation. The settings ({\bar 2} {\bar 2}0, 111, {\bar 2} {\bar 2}0) and ({\bar 2} {\bar 2}0, 400, {\bar 2} {\bar 2}0) are discussed in detail. All features of the measured resolution function are well reproduced by the calculations, especially if the background due to non-Bragg scattering from the collimators and the crystals is taken into account. In addition, approximate formulas are presented that provide a quick survey over the features of the resolution in k space for a given experimental set-up. On the 50% contour level, the λ streak is by far the dominating feature of the resolution function and reduces the resolution parallel to Gsample by a factor of 40 to about 8 × 10−3 Å−1. The excellent resolution in the scattering plane perpendicular to Gsample of 10−5 Å−1 is not affected. Unlike in the nondispersive case and diffraction experiments using characteristic lines of X-ray tubes, here the location and the intensity distribution of the monochromator streak depend on the Bragg angles of the monochromator, sample and analyzer crystal.
    Type of Medium: Electronic Resource
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