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  • 1
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 1 (1968), S. 128-130 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: An automatic balanced filter box which may be used on most standard X-ray diffraction tubes is described. It is designed to be used in conjunction with a wide variety of automated X-ray diffraction experiments to change Ross filters and insert attenuators into the incident X-ray beam on receipt of appropriate commands from the control system. The positions of the filters and attenuators may be displayed at all times by using feedback signals generated by a combination of light sources and photocells.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 4 (1971), S. 176-177 
    ISSN: 1600-5767
    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 5 (1972), S. 315-324 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A general equation relating the intensity (in electron units) scattered at small angles by a sample to the power received by the X-ray detector in a small-angle collimation system is developed which includes the effects of a nonuniform incident beam and of a nonuniformly sensitive detector. The theoretical bases for various experimental methods of measurement of the power in the incident beam are discussed. These include primary methods such as ionization chambers and attenuation by multiple foils or mechanical devices, and secondary methods which involve the measurement of scattering from standards such as gases, liquids, or amorphous scatterers for which the scattering may also be computed in absolute units.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 7 (1974), S. 154-158 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: An analytic expression for the power transmitted through a Kratky small-angle X-ray scattering collimation geometry has been derived which depends on the size and position of a uniformly intense focal spot relative to the entrance slit in the width direction. Complete details on the derivation of this power expression are available from the authors. The power expression can be optimized, subject to the constraint of a predetermined and fixed minimum angle, to yield the optimum values for the collimation system parameters. This paper discusses the optimum values of the entrance and receiving slits for a given minimum angle and describes the application of these results for the entrance slit either fully or not fully illuminated. A comparison of the analytical power expression with the experimental scattered power is also given.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 7 (1974), S. 159-163 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The unified theory of absolute intensity measurements in small-angle X-ray scattering has been experimentally verified by determining a collimation system and wavelength-independent calibration constant for polyethylene (Lupolen). Consistent values of this constant were determined for three X-ray wavelengths (Ag Kα, Mo Kα and Cu Kα by gas scattering and multiple-foil attenuator experiments. The agreement of the results implies that all of the experimentally significant parameters involved in these absolute intensity calibrations have been identified. In addition, they show Lupolen to be a more general secondary standard than had been previously recognized.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 11 (1978), S. 551-557 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Crystallization of a linear polyethylene from the melt was followed in situ with the ORNL 10-meter SAXS camera [Hendricks (1978). J. Appl. Cryst. 11, 15–30]. Specimens were rapidly cooled in the X-ray beam in tandem birdcage furnaces from 1̃80°C to temperatures between 115 and 126°C, and scattering patterns were recorded for 30 s in 50 s intervals. Because of this relatively high-speed data acquisition rate, it was possible to obtain data in time periods which were short compared to the rate of change of the scattering patterns. The SAXS curves showed shapes which changed continuously during crystallization. The scattering curves are the superposition of a zero-angle peak and a Bragg maximum. Guinier plots of the zero-angle peak manifest scattering by lamellae of constant thickness. The thickness value is nearly that expected for crystallites at these crystallization temperatures. A model in which skeletal spherulites form and then later fill in is consistent with these results. Decreasing SAXS intensity and changing Bragg peak intensities indicate crystal thickening during cooling to room temperature.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 24 (1991), S. 878-887 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Misalignment of the X-ray diffractometer can lead to significant errors in the stress measured by X-ray diffractometry. A generalized equation is derived for the relationship between the crystal lattice d spacing and the stress tensor which involves the Δψ and Δχ misalignments of the diffractometer as well as large χ-angle tilts and φ-angle rotations. Inclusion of the φ and χ rotations allows for measurements with complicated sample geometries as well as for a direct comparison of the χ- and ψ-geometry diffractometers in common use. In the case of no misalignment errors (Δχ, Δψ = 0), the symmetries between the classical ψ-tilt and χ-tilt diffractometers are clearly shown. The generalized equation is reduced to more manageable forms for several approximations in which the misalignments are small. How these errors affect the computation of shear and normal stresses is also discussed. Finally, determination of residual stresses in more complicated sample geometries is discussed.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 5 (1972), S. 302-304 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Theory is developed which allows the quantitative evaluation of an `effective' slit-length weighting function for small-angle diffractometers which make use of Soller slits. The theory is illustrated with an example and the disadvantages connected with the use of Soller slits in SAXS experiments are discussed.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 8 (1975), S. 421-429 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A new small-angle X-ray scattering facility which utilizes a 6 kW rotating anode, pin-hole collimation, and a position-sensitive proportional counter has been developed. As presently constructed, the minimum scattering vector κ (= 4π sin &thgr;/2) which can be reached with Cu Kα radiation is 5 × 10−3 Å−1. Under these conditions the flux incident on the specimen has been found to be 6 × 105 photons s−1. The system has several advantages compared with traditional long-slit geometries; namely, (i) it can quantitatively measure anisotropic scattering distributions, (ii) it avoids large mathematical corrections of the data for slit-smearing effects, and (iii) it minimizes double Bragg scattering in crystalline materials and multiple diffuse scattering in amorphous or liquid materials. To illustrate the performance of this instrument, the scattering curves obtained from four widely different samples are shown. These are: polyethylene, a neutron-irradiated aluminium single-crystal containing voids, a dilute suspension of Ludox spheres, and duck tendon collagen. Quantitative comparisons of the performance with a Kratky camera and with the neutron small-angle scattering facility in Jülich are given.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 11 (1978), S. 621-625 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Small-angle X-ray scattering (SAXS) and transmission electron microscopy (TEM) have been used to study the microporosity and micromineralogy of vitrinite in a high-volatile bituminous coal (Illinois No. 6). Sections were selected from samples that contained representative amounts of vitrinite. Micropores and fine minerals with sizes ranging between 10 and 1000 Å were observed. The minerals, primarily silicates, were heterogeneously distributed in layers parallel to the bedding plane of the coal. The radii of gyration, surface area, volume fraction, and size distribution of micropores, mesopores, and fine-size minerals were obtained from an analysis of the SAXS curves. The total volume fraction of these components was determined from the integrated intensity to be 0.09 ± 0.02 cm3 cm−3. The size distributions were found to be trimodal with peaks at 30, 100, and 220 Å. These peaks are associated with micropores, microminerals, and mesopores respectively. The specific surfaces associated with each peak are 140 ± 20, 3 ± 1, and 10 ± 3 m2 g−1, respectively, while the corresponding volume fractions are 0.004 ± 0.001, 0.026 ± 0.005, and 0.056 ± 0.018 cm3 cm−3 respectively. Comparison of the results from SAXS with those from TEM showed good agreement.
    Type of Medium: Electronic Resource
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