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  • 1
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 928-937 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Single crystals of Cu–2.5 at.% Ti have been studied by small-angle and large-angle X-ray scattering to determine the displacements induced by the formation and the coarsening of ordered Cu4Ti precipitates. The variation of the atomic scattering factor of Cu near its absorption edge was used to confirm the nature of the precipitates and to show that the scattering appearing near Bragg peaks was due to the displacements of the atoms from their ideal positions, induced by the formation of the precipitates, and not to the segregation of the Ti atoms. The displacement field was found to be dependent on the precipitate mean size, with a single component aligned along a soft 〈100〉 direction: it is composed of a region of dilatation, where the Cu-atom positions follow the increase of the atomic distance induced by the Cu4Ti precipitate formation, followed by a region of contraction. This effect is responsible for the pile-up of the precipitates along the soft directions: the interaction between precipitates is repulsive at long distances and attractive at shorter distances.
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  • 2
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 15 (1982), S. 590-593 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The structure of the transition phase M′ in AlZnMg alloys has been studied by Buerger X-ray precession photographs and transmission electron microscopy. The M′ phase, also called η′ or R, has a hexagonal or pseudo-hexagonal cell with a = 4.96, c = 14.03 Å. It is confirmed that M′ precipitates are hexagonal platelets with the following epitaxy: (00.1)M′//(111)Al and |10.0|M′//1{\bar 1}0|Al. It is shown that none of the known models of the unit cell accounts for the observed scattered intensities.
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  • 3
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 18 (1985), S. 181-183 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The anomalous scattering factors of zinc and silver in samples of Al-rich Al–Zn–Ag have been measured near their K-absorption edges. EXAFS spectra obtained from the Stanford Synchrotron Radiation Laboratory were converted to the imaginary part of the atomic scattering factor f′′ using the optical theorem. With a knowledge of f′′(E), f′, the real part of the atomic scattering factor, was determined from the Kramers–Kronig dispersion relation.
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  • 4
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 18 (1985), S. 230-236 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Solute partitioning during decomposition of a ternary alloy may be evaluated through the inversion of a system of linear equations, obtained by performing at least three independent small-angle scattering experiments. The merits of neutron scattering (with isotopic contrast) and of anomalous X-ray scattering (near the absorption edges) are compared. It appears that neutron scattering, although having good contrast, is not suited to these studies since slight structural differences between the three samples may lead to erroneous results. On the other hand, the use of the same sample in anomalous scattering avoids this problem, but with the drawback of a more ill-conditioned system. Nevertheless, the possibility of performing more than three anomalous experiments may improve the results and a new analysis of data is proposed.
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  • 5
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 24 (1991), S. 1027-1034 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A large rapidly decreasing intensity called the `scattering tail' is generally observed at the smallest recorded angles during small-angle measurements of metallic alloys. Since this tail was interpreted as caused by a bimodal phase separation in Cu–Ni–Fe alloys and by long-wavelength concentration fluctuations in Invar alloys, these two systems were re-examined with anomalous X-ray scattering. The variation of the alloying atomic contrasts allows a discrimination between the different types of particles or defects. In neither of the two systems can the tails be interpreted as caused by large-scale concentration fluctuations. In Cu–Ni–Fe alloys, the tail is due to some kind of superficial defect (surface roughness etc.). In Invar alloys, the tail is probably due to residual impurity particles.
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  • 6
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 21 (1988), S. 317-321 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: X-ray diffraction in multilayer structures is determined by the electronic concentration profile, which depends both on the atomic concentration and on the specific volume. Probing with photons of different wavelengths in the vicinity of an absorption edge (anomalous X-ray scattering) produces a variation of the scattered intensity, which allows the separation of both contributions. A test of the feasibility of this method on several multilayer samples is presented. The technique appears to be sensitive enough to measure specific volume ratios with a precision of about 5%.
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  • 7
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 24 (1991), S. 156-163 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The Bragg peak intensities, related to the electronic concentration profile, depend both on atomic concentrations and on specific volumes. Anomalous dispersion, using synchrotron radiation, produces a variation of the scattered intensity, which in principle allows a separation of the two contributions. The kinematic approximation for diffraction of thick multilayers allows an easy evaluation of the ratio of specific volumes, but the entire reflectivity curves and their deformations with photon wavelength can be explained by the interferences between the Kiessig fringes and diffraction maxima in a kinematic approximation. A full optical treatment confirms the previous analysis. Finally, the relaxations occurring during Nd–Fe interdiffusion are too small to be measured in our experimental conditions.
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  • 8
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 31 (1998), S. 783-788 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The structural evolution of co-sputtered Ag–20 (and 35) at.% Co and Ag–20 (and 35) at.% Ni was studied by anomalous small-angle X-ray scattering in the as-deposited state and after different anneals for 10 min at 573, 623 and 723 K. Anomalous scattering was used to separate the part of the scattering signal due to the transition metal particles from the signal of other heterogeneities. Strong segregation, involving about two-thirds of the Co (or Ni) atoms, already exists for the as-deposited state. After a 573 K anneal, the phases (Ag matrix and Co or Ni well defined particles) have almost reached equilibrium, i.e. complete immiscibility. Most of the magnetic particles are three dimensional with an average radius of 5–25 Å and the average distance between the particles varies from 17 to 110 Å, depending on the magnetic element and its concentration, and on the annealing conditions. The size distribution does not correspond to that of usual coarsening, but becomes broader after extended annealing. This is probably due to heterogeneous precipitation at grain boundaries of the Ag matrix.
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  • 9
    ISSN: 1600-5775
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: D2AM is a french CRG beamline installed at the ESRF (European Synchrotron Radiation Facility) in Grenoble, with half of the time dedicated to biological macromolecule crystallography and half to materials science studies (diffraction, wide-angle and small-angle scattering). It is constructed at the front-end BM02 of the ESRF storage ring, using the X-ray beam from a 0.8 T bending magnet. D2AM entered into routine operation at the end of 1994, and is used either for single-wavelength or for multiwavelength anomalous diffraction studies. The beam is monochromated by an Si[111] two-crystal monochromator with a resolution of about 2 × 10−4. The first crystal is water cooled. The X-ray photon energy covers the range between 6.5 keV (λ ∼ 1.9 Å) and 17 keV (λ ∼ 0.7 Å), a domain of energy with many K or L absorption edges of heavy atoms of interest for biological macromolecules studies and in materials science. The X-ray beam is focused in the vertical plane by two long curved mirrors and in the horizontal plane by the second crystal of the monochromator which is given an adjustable sagittal curvature. A spot size of 0.3 × 0.1 mm (FWHM) is measured at the sample position. Both mirrors are cut out of a 6"-diameter 1.1 m-long Si single crystal, polished and coated with a 400 Å Pt thin film. The rugosity is better than 4 Å r.m.s. and the longitudinal slope error is better than 5 × 10−6 rad r.m.s. The first mirror is water cooled, the second is not. The beam intensity on the sample is about 1011 photon s−1 on a 0.3 × 0.3 mm focus area at 100 mA in the storage ring of the ESRF. The harmonic rejection ratio obtained with the two mirrors is better than 10−5 for λ/3. The combined optical system, mirror/monochromating-crystals/mirror, used on D2AM constitutes altogether a high-intensity point-focusing fixed-exit monochromator, which has the additional property that the energy resolution is not dependent on the beam divergence in use. Its stability and resolution are perfectly adapted to multiwavelength anomalous diffraction studies. The alignment of the mirrors and the monochromator is fully automated, taking 5 min, with the exception of the adjustment of the sagittal focusing. During multiwavelength diffraction experiments the wavelength is changed by a fast single monochromator rotation. Neither realignment of the mirrors nor readjustment of the beam focusing are necessary. The stability and reproducibility of the selected X-ray photon energy is better than 0.5 eV.
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  • 10
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The use of synchrotron radiation in the study of ordering transitions is presented. The peak-profile measurements can be carried out with a resolution one order of magnitude better than with classical sources in all directions of the reciprocal lattice. In the case of Fe–Al alloys, the small-angle scattering techniques can be transposed in the vicinity of a Bragg superstructure peak, which provides information on the antiphase configuration of the ordered alloys. Moreover, the high brilliance of the undulator of the ESRF ID10 beamline enables coherent scattering experiments. The conditions necessary to record holograms from an inhomogeneous sample are discussed and some results are presented.
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