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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 32 (1976), S. 863-868 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A simple physical model is presented to predict the neutron diffraction properties of deformed crystals. The main interest of this model is its general applicability to deformed crystals and its mathematical simplicity. At first this model was applied to curved crystals and its validity was checked by comparison with the diffraction patterns obtained from the exact solution of the dynamical neutron diffraction theory. A comparison between the prediction of the model and experimental data in curved Si crystals is presented. Finally the model is used to predict neutron diffraction patterns by crystals with a gradient in the lattice spacing and by deformed crystals in the general case.
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 30 (1974), S. 798-805 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The diffraction properties of curved silicon crystals, with curvature radii between ∞ and 25 m obtained by microscopic techniques, were investigated by means of a neutron diffractometer. The ratio of neutron reflectivity between plane and curved silicon crystals was measured as a function of the neutron wavelength using different reflecting planes in both Bragg and Laue cases in symmetrical and asymmetrical conditions. The experimental results were interpreted with the results of theoretical investigations on the dynamical theory of diffraction applied to the curved-crystal case. The implications of this work on neutron monochromator design are briefly discussed.
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  • 3
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 41 (1985), S. 81-83 
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 11 (1978), S. 265-267 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Some recent experimental data concerning curved monochromators for X-ray synchrotron radiation have been interpreted by using a simple model based on the dynamical theory of diffraction. In particular, a large gain of about 30 observed for Mo Kα radiation by bending a quartz crystal is explained.
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  • 5
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 11 (1978), S. 442-449 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A theoretical study is presented concerning the diffraction characteristics of curved monochromators for X-ray synchrotron radiation used at the laboratories of Hamburg, Orsay and Stanford. The investigation was performed by extending to the X-ray case a simple model recently developed and fruitfully employed to describe the neutron diffraction properties of curved monochromators. Several diffraction patterns were obtained corresponding to different monochromator materials (Ge, Si) used by the different laboratories, for different reflecting planes (111), (220). asymmetry angles, X-ray wavelengths (Mo Kα, Cu Kα, Cr Kα) and curvature radii. The results are discussed in physical terms and their implications on the design of curved monochromators for synchrotron radiation are presented. In particular, the study shows that all the monochromators used in the different laboratories should behave practically as perfect crystals and therefore should have a very low integrated reflectivity corresponding to an optimized wavelength passband Δλ/λ ∼10−4. The gain that can be obtained by increasing the curvature, by introducing a gradient in the lattice spacing or by any other kind of imperfection is quite limited and much lower than the desirable value. The adopted model can help in obtaining a possible moderate gain in intensity by also taking into consideration other parameters, such as crystal material, reflecting plane, asymmetry of the reflection and X-ray wavelength.
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  • 6
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 14 (1981), S. 337-344 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: An investigation of the M23C6 carbide (M = metal atom) precipitation induced by aging in AISI 304 stainless steel was performed with techniques of small-angle neutron scattering (SANS) and transmission electron microscopy (TEM). The samples were aged at 873 and 923 K for different times after a solution treatment at 1323 K. The coherent neutron scattering length density for each sample was calculated from the chemical composition. As the carbide composition is dependent on aging time exact chemical compositions for each sample were determined with X-ray fluorescence techniques. Coherent scattering cross-section curves were obtained for the different aged samples, from which the total surface and total volume of precipitates per unit volume of sample were determined as a function of aging time at both temperatures. Moreover, the size distribution function of M23C6 carbide was obtained for each aging time. In general, the results obtained, taking into account the difficulty of the problem, are in satisfactory agreement with the localized TEM observations.
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  • 7
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 12 (1979), S. 275-278 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A recent experiment on neutron diffraction by microscopically curved silicon crystals has shown the existence of the Fankuchen effect, which is a space condensation of neutrons occurring for this kind of crystal. This paper reports an experimental analysis of neutron focusing in the Fankuchen effect for curved crystals. The focusing effect in a symmetrical geometry was also investigated for comparison. The results are discussed and a conclusion is derived concerning a gain in neutron current density for the Fankuchen geometry, particularly interesting for neutron diffractometry of small biological crystals.
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  • 8
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Inorganica Chimica Acta 94 (1984), S. 95 
    ISSN: 0020-1693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Chemistry and Pharmacology
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  • 9
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 10 (1977), S. 118-122 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The data available in the literature on curved neutron monochromators, i.e. Ge and CaF2, has been compared with the predictions of a simple model recently developed to evaluate the neutron diffraction properties of curved crystals.
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  • 10
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 33 (1977), S. 360-365 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Experimental evidence of the Fankuchen effect for neutron diffraction by curved crystals is presented and discussed. The Fankuchen effect consists of a space condensation of neutrons (or X-rays) diffracted by an asymmetrically cut crystal. Theoretical considerations are presented on the Fankuchen effect in the case of ideal mosaic crystals, perfect crystals and ideal curved crystals. This analysis shows that mosaic crystals behave quite differently from perfect crystals. Whereas for perfect crystals the asymmetric cut is expected to induce a real gain in neutron current density, for mosaic crystals no gain is expected. Curved crystals are expected to behave in a similar way to perfect crystals. The experiments were carried out on chemically curved Si crystals. The neutron-diffraction characteristics of a symmetrically cut Si crystal and an asymmetrically cut Si crystal were compared. A gain in the neutron current density of a factor of 4 was observed in the case of the asymmetric crystal. This value is in good agreement with the estimated theoretical value of 4.2. This fact could lead to interesting applications in the selection of monochromatic beams to be used in neutron diffractometry of small biological crystals.
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