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  • American Institute of Physics  (117,576)
  • American Physical Society  (116,527)
  • International Union of Crystallography (IUCr)
  • 2000-2004  (131,503)
  • 1980-1984  (61,557)
  • 1970-1974  (54,650)
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  • 1
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1059-1066 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: New methods of diffraction stress analysis of polycrystalline materials, consisting of cubic elastically anisotropic crystallites, are proposed and compared with existing methods. Whereas for the existing methods knowledge of the diffraction elastic constants is presupposed, three new methods are presented that require only knowledge of the (macroscopic) mechanical elastic constants. The stress values obtained with these new methods on the basis of the mechanical elastic constants are more reliable than those obtained with the methods on the basis of the diffraction elastic constants. New and existing methods are illustrated by means of measurements of X-ray diffraction from a magnetron-sputtered TiN layer.
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  • 2
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1102-1112 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Electron crystallography on multilayered three-dimensional microcrystals has been limited in application by the need to define precisely the three-dimensional shape of the diffraction density profiles. A new method is presented here to obtain this profile from experimental spot positions which are shifted in a characteristic way from the expected Bragg positions. While the Bragg positions are defined by the diffraction geometry, the characteristic shift additionally depends on the density profile in Fourier space. In general, these two effects are intermingled. A new correlation approach is presented which uses characteristic shift patterns to separate these effects. This technique also allows the determination of all three crystallographic unit-cell dimensions from a single tilted electron diffraction pattern. It was tested on simulated diffraction patterns and applied to experimental data of frozen hydrated crystals of the protein catalase. Since multilayered catalase crystals with different numbers of crystallographic layers were studied, an inhomogeneous data set had to be evaluated. Processing of such data is now possible using the new correlation approach.
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  • 3
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1136-1142 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Based on the analysis of geometric relations, it is found that the amplitude of the distortion of the full width at half-maximum (FWHM) of a peak after smoothing is the largest among the distortions of the seven parameters of a peak: maximum intensity, FWHM, shape, asymmetry, integral intensity, peak position and integral width. Hence the FWHM distortion is used as a criterion of smoothing. The 1% and 5% error limits of smoothing are calculated. Quadratic and quartic polynomial Savitzky–Golay filters are compared. Aberrations of an X-ray diffraction (XRD) peak caused by using double, matched, 1.5 and 0.7 FWHM filters are described in more detail by means of the analyses of internal and external factors. It is found that the smoothing-induced distortions of an actual XRD peak trend towards those of ideal curves. The distortions are classified according to three types of peak. A possible method to obtain the actual peak parameters, called `system smoothing refinement', is presented.
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  • 4
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1154-1161 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Despite advances in computer technology, computing in macromolecular crystallography keeps pace in its demand for CPU power. Improvements in CPU speed, together with advances in computing methods that depend on it, often translate into the possibility to solve structures that would otherwise require additional experiments. Programs for data reduction, molecular-replacement programs employing multidimensional searches on a grid in real, Patterson or reciprocal space, and phasing and refinement programs, currently have, among others, the highest requirements for CPU power. For these and other programs, speed-up of calculations as a result of parallel execution on multiprocessor computers is possible. This paper outlines the use of the OpenMP programming interface and reports its successful application for parallelization of ESSENS [Kleywegt & Jones (1997). Acta Cryst. D53, 179–185] and SHELXL [Schneider & Sheldrick (1997). Methods Enzymol. 277, 319–343]. Parallel computing, which is possible as a result of the inherent parallelism of crystallographic algorithms, extends the range of problems in macromolecular crystallography that programs can be applied to and can significantly reduce the time required for progressing from a data set to a refined model.
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  • 5
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1189-1189 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
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  • 6
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1190-1191 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
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  • 7
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 380-386 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Linear and nonlinear optical properties of the four isomorphic orthorhombic (point group mm2) potassium rare earth nitrates K2[RE(NO3)5(H2O)2], with RE = La, Ce, Pr or Nd, have been investigated. Refractive indices in a wavelength range from 0.35 to 2.5 µm and the transmission spectra between 0.25 to 3.0 µm were measured. Using the Maker fringe technique, the d_{ijk}^{\rm\, SHG} coefficients of second-harmonic generation for a fundamental of the Nd–YAP laser (λ = 1079.5 nm) were determined for all four compounds. The d_{ijk}^{\rm\, SHG} coefficients of all four substances are about three times larger than those of KDP, as was first published by Ebbers et al. [IEEE J. Quantum Electron. (1993), 29, 497–507] for K2[La(NO3)5(H2O)2]. These nitrates are promising materials for application to nonlinear optics (e.g. second-harmonic generation of Nd laser radiation). The nonlinear optical properties of these compounds seem to have their origin mainly in the nitrate groups, as indicated by a simple model (summing the molecular hyperpolarizabilities of the NO3 group). Neglecting local field effects, the hyperpolarizability of the NO3 group was calculated as β222 = 2.52 × 10−40 m4 V−1.
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  • 8
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: In the molecular structure of tetraferrocenyl-[3]-cumulene, (Fc)2C=C=C=C(Fc)2, four ferrocene molecules are connected via a linear bridge consisting of four carbon atoms. At room temperature, the crystal structure has space group P21/a (Z = 1) with a = 13.104 (5), b = 6.121 (2), c = 11.194 (4) Å, β = 114.922 (1)° and V = 814.3 (8) Å3. A phase transition during cooling was not observed from room temperature to 75 K. From high-resolution X-ray powder diffraction data, the structure of the room-temperature phase was solved by the method of simulated annealing and refined by the Rietveld method using rigid bodies and restraints. The crystal structure was found to be highly disordered with the molecules occupying two orientations with equal probability and a 50% occupancy of the carbon atoms in the cumulene bridge. The disorder could be modelled by stacking faults in ordered structures. In contrast to other compounds of this class, the ferrocenyl groups are in a syn rather than in an up–down conformation with respect to the cumulene bridge.
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  • 9
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1212-1216 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The structure of colloidal particles can be studied with small-angle X-ray and neutron scattering (SAXS and SANS). In the case of randomly oriented systems, the indirect Fourier transformation (IFT) is a well established technique for the calculation of model-free real-space information. Interaction leads to an overlap of inter- and intraparticle scattering effects, preventing most detailed interpretations. The recently developed generalized indirect Fourier transformation (GIFT) technique allows these effects to be separated by assuming various models for the interaction, i.e. the so-called structure factors. The different analytical behaviour of these structure factors from that of the form factors, describing the intraparticle scattering, allows this separation. The mean-deviation surface is defined by the quality of the fit for different parameter sets of the structure factor. Its global minimum represents the solution. The former non-linear least-squares approach has proved to be inefficient and not very reliable. In this paper, the incorporation of the completely different Boltzmann simplex simulated annealing (BSSA) algorithm for finding the global minimum of the hypersurface is presented. This new method increases not only the calculation speed but also the reliability of the evaluation.
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  • 10
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1241-1245 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A synchrotron radiation X-ray powder diffractometer for samples of very small amount has been developed to collect high-quality diffraction patterns under extreme conditions, i.e. at low temperature and/or high pressure. A new cylindrical imaging plate (CIP) is used as a detector, in addition to a conventional flat-type imaging plate (FIP). By using the CIP system, the diffraction data in a diffraction angle range −44 ≤ 2θ ≤ 122° are collected with a dynamic range of about 106. The alignment of the diffractometer, measurement and analysis are automatically operated by a workstation. A performance test shows that the CIP system has spatial resolution of about 0.07° with a dynamic range of 106. The diffraction pattern of a standard sample of Si measured by the CIP system has high quality; the refinement of the structure reaches Rw = 3.68% even in the case of a small amount of sample (about 2 µg) and a short exposure time (60 s). Examples of experiments at low temperatures under ambient and high pressures are also presented.
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  • 11
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1194-1194 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
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  • 12
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1208-1211 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Accidental overlap constitutes one of the principal limitations for the solution of crystal structures from powder diffraction data, since it reduces the number of available intensities for direct-methods application. In this work, the field of application of the direct-methods sum function is extended to cope with powder patterns with relatively large amounts of accidental overlap. This is achieved by refining not only the phases of the structure factors but also the estimated intensities of the severely overlapped peaks during the structure solution process. This procedure has been specifically devised for inorganic compounds with uncertain cell contents and with probable severe atomic disorder, a situation often found when studying complex minerals with limited crystallinity. It has been successfully applied to the solution of the previously unknown crystal structure of the mineral tinticite. Finally, an estimation of the smallest ratio (number of observations to number of variables) for the procedure to be successful is given.
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  • 13
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1231-1240 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A waveguide microdiffraction setup is described for an undulator beamline at the European Synchrotron Radiation Facility. The composite optics consists of a waveguide, which confines the beam vertically, and a horizontally focusing multilayer mirror. A beam size of about 0.1 × 3 µm (vertical × horizontal) at λ = 0.095 nm has been obtained. The sample stage comprises a three-axis gantry with micrometre precision and a three-axis piezo-scanner with about 0.1 µm repeatability. Diffraction experiments are demonstrated for selected inorganic and polymeric samples. Possibilities for scanning diffractometry and small-angle scattering experiments are discussed.
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  • 14
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1253-1261 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Small-angle neutron scattering (SANS) measurements have been performed on long-flight-path pinhole-collimation SANS instruments using, as a two-dimensional position-sensitive detector, both a neutron imaging plate, incorporating gadolinium, and a two-step transfer method, with dysprosium foil as the image transfer medium. The measurements are compared with corresponding data taken using conventional position-sensitive gas proportional counters on the SANS instruments in order to assess the viability of the imaging techniques. The imaging plates have pixel sizes of about two orders of magnitude smaller than those of the gas proportional counter. The reduced pixel size provides definite advantages over the gas counter in certain specific situations, namely when limited space necessitates a short sample-to-detector distance, when only small samples (comparable in size to the detector pixels) are available, or when used in conjunction with focusing beam optics.
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  • 15
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1302-1302 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
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  • 16
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1311-1316 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The formula of the pseudo-Voigt function expressed by a weighted sum of Gaussian and Lorentzian functions is extended by adding two other types of peak functions in order to improve the accuracy when approximating the Voigt profile. The full width at half-maximum (FWHM) values and mixing parameters of the Gaussian, the Lorentzian and the other two component functions in the extended formula can be approximated by polynomials of a parameter ρ = ΓL/(ΓG + ΓL), where ΓG and ΓL are the FWHM values of the deconvoluted Gaussian and Lorentzian functions, respectively. The maximum deviation of the extended pseudo-Voigt function from the Voigt profile is within 0.12% relative to the peak height when sixth-order polynomial expansions are used. The systematic errors of the integrated intensity ΓG and ΓL, estimated by fitting the extended formula to Voigt profiles, are typically less than 1/10 of the errors arising from the application of the original formula of the pseudo-Voigt approximation proposed by Thompson et al. [J. Appl. Cryst. (1987), 20, 79–83], while the time required for computation of the extended formula is only about 2.5 relative to the computation time required for the original formula.
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  • 17
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1335-1341 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Nanometre-sized particles are of considerable current interest because of their special size-dependent physical properties. Debye–Scherrer diffraction patterns are often used to characterize samples, as well as to probe the structure of nanoparticles. Unfortunately, the well known `Scherrer formula' is unreliable at estimating particle size, because the assumption of an underlying crystal structure (translational symmetry) is often invalid. A simple approach is presented here which takes the Fourier transform of a Debye–Scherrer diffraction pattern. The method works well on noisy data and when only a narrow range of scattering angles is available.
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  • 18
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    Applied crystallography online 33 (2000), S. 1393-1398 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: It is now possible to build new types of optical elements for neutron beams. These include monochromating crystals with rectangular mosaic profiles, `gradient' monochromating crystals with varying lattice spacing, and collimators with rectangular profiles. Phase-space methods are used to describe the resolution of a combination of two collimators and a monochromating crystal for various combinations of novel beam elements. The description of rectangular-profile elements in this formalism considerably simplifies the normal description of resolution effects and should thus prove useful as a teaching tool.
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  • 19
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    Applied crystallography online 33 (2000), S. 1405-1414 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Expressions for the calculation of multiple-diffraction patterns observed in ω–ψ scans of Bragg reflections are derived within the framework of the kinematical theory, taking into account the divergence and wavelength-spread of the incident beam as well as the mosaicity of the crystal sample. The theoretical results can be applied to X-ray tube radiation as well as synchrotron radiation experiments. A 189.9° experimental Cu Kα \bar2\bar2\bar2 ω–ψ scan of diamond is compared with the corresponding theoretical multiple-diffraction pattern.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1447-1447 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Comments are made on a paper by E. Rossmanith [J. Appl. Cryst. (2000), 33, 330–333] concerning the use of asymptotic expressions for the extinction-corrected mean thickness.
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    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1450-1450 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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  • 22
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    Applied crystallography online 34 (2001), S. 20-26 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Contrast is associated with micropipes in X-ray topographs of SiC crystals obtained with prismatic reflections, representing an apparent violation of the g·b = 0 invisibility criterion. This is explained as a population of basal-plane dislocations with Burgers vectors of the set b = {\textstyle{1 \over 3}}〈11{\bar{2}}0〉 that occur in a high density within a few micrometers of the micropipes, below the resolution of X-ray topography. These basal-plane dislocations could be observed under an electron microscope. The presence of the surfaces of the micropipes influences the dislocation images in the topographs taken with prismatic reflections, often resulting in a band of light contrast along the axes of the micropipes.
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  • 23
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    Applied crystallography online 34 (2001), S. 33-41 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A method is presented for automated best-matching alignment of three-dimensional models represented by ensembles of points. A normalized spatial discrepancy (NSD) is introduced as a proximity measure between three-dimensional objects. Starting from an inertia-axes alignment, the algorithm minimizes the NSD; the final value of the NSD provides a quantitative estimate of similarity between the objects. The method is implemented in a computer program. Simulations have been performed to test its performance on model structures with specified numbers of points ranging from a few to a few thousand. The method can be used for comparative analysis of structural models obtained by different methods, e.g. of high-resolution crystallographic atomic structures and low-resolution models from solution scattering or electron microscopy.
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    Applied crystallography online 33 (2000), S. 1450-1450 
    ISSN: 1600-5767
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    Applied crystallography online 33 (2000), S. 1450-1450 
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    Applied crystallography online 34 (2001), S. 16-19 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Texture effects caused by preferred orientation can be corrected in Rietveld analysis by an alternative algorithm presented in this contribution. This algorithm is equivalent to models using symmetrized linear combinations of spherical harmonic functions, but it is unique to all Laue classes and to all orders. Positive definiteness of the polar-axis density is achieved by the exponential method. The outlined algorithm was tested during Rietveld refinement of selected polycrystal samples. The algorithm was proven to be numerically robust and satisfactorily described deviations from the ideal intensity ratios of the Bragg reflections caused by the texture of the samples.
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  • 27
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    Applied crystallography online 34 (2001), S. 76-79 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: As the combination of high-intensity synchrotron sources and area detectors allows collection of large data sets in a much shorter time span than previously possible, the use of open helium gas-flow systems is much facilitated. A flow system installed at the SUNY X3 synchrotron beamline at the National Synchrotron Light Source has been used for collection of a number of large data sets at a temperature of ∼16 K. Instability problems encountered when using a helium cryostat for three-dimensional data collection are eliminated. Details of the equipment, its temperature calibration and a typical result are described.
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  • 28
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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    Notes: The bond energy constant of methionine Sδ—Cε, 170.066 kcal mol−1 Å−2, is given as a default value in X-ray protein structure refinement with X-PLOR [Brünger (1992). X-PLOR Version 3.1. A system for X-ray Crystallography and NMR. New York University Press]. When the atomic parameters of 3564 amino acid residues of bovine heart cytochrome c oxidase were refined at 2.0 Å resolution by using X-PLOR with default restraining parameters, 36 bond lengths deviated by over 0.06 Å from their ideal values. Out of the 36 bonds, 25 were methionine Sδ—Cε bonds. Refinement with an energy parameter of 500.0 kcal mol−1 Å−2 for the methionine Sδ—Cε bond resulted in convergence of the Sδ—Cε bond lengths to within 0.06 Å from their ideal values and reduced the crystallographic R and free-R factors by 0.6 and 0.3%, respectively. Consequently, a strong bond energy constant for Sδ—Cε of 500.0 kcal mol−1 Å−2 is recommended instead of the default value of 170.066 kcal mol−1 Å−2.
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    Applied crystallography online 34 (2001), S. 89-94 
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    Applied crystallography online 34 (2001), S. 114-118 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The Rietveld method has proved to be a very effective means to characterize and quantify the crystalline phases and the amorphous phase in glass ceramic materials using X-ray powder diffraction data. The technique was applied to a borosilicate glass of the type used for high-level nuclear-waste containment, in order to measure the proportions of the crystallized phases after heat treatment and, thus, to qualify the thermal stability of the glass. Six crystalline phases were analysed in this way in an almost entirely (〉95 wt%) amorphous material after adding a known proportion of an internal standard (TiO2). The quantitative analyses were corrected to allow for microabsorption effects resulting from grain-size and absorption-contrast effects. In addition to the quantitative data, unit-cell parameters and site-occupancy refinements revealed solid-solution and substitution phenomena in the crystal.
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    Applied crystallography online 33 (2000), S. 478-482 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: NiO-based xerogels were prepared by sol-gel processing starting from the NiCl2-BuOH-H2O system. Structural features associated to the porosity of xerogels were studied by small-angle X-ray scattering. Xerogels heat-treated at low temperatures (423 and 573 K) are composed of hydrated NiCl2 small crystals and exhibit an essentially single mode nanoporous structure with an average pore radius of ∼75 Å. Xerogels heat-treated at 973 and 1173 K are composed of aggregates of NiO crystals which only contain intergrain mesopores with radii exceeding 200 Å. A mixture of phases is observed in xerogels heat-treated at 773 K. Xerogels with a water concentration of 2 mol/(mol NiCl2) exhibit a narrow nanopore size distribution. Water concentrations higher or lower than 2 mol promote the formation of nanoporous structures with wider size distributions.
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    Applied crystallography online 33 (2000), S. 483-487 
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    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
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    Notes: The sintering behaviour of two new types of coated ceramics, made from alumina grains coated with a zirconia shell and from zirconia grains coated with an alumina shell, was analyzed with small angle neutron scattering (SANS). Measurements were performed both for the plain samples, and with contrast variation using D2 O as immersion liquid. The size distribution and the volume fraction of grains and pores were determined from the corrected scattering curves using a direct model fitting, applying two different approaches, a sphere model and a combined sphere/spherical shell model. Results are discussed in context with the macroscopic density of the samples. The sintering behaviour of the two ceramics types was found to be very different.
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  • 33
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    Applied crystallography online 33 (2000), S. 488-491 
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    Notes: In-situ small-angle neutron scattering was performed on polycrystals and single crystals of Ni-10 to 12 at.% Ti at temperatures between 900 and 1240 K. A plateau in the integrated intensity as a function of aging time for polycrystalline Ni-11.3 at.% Ti at 900 K indicates the presence of a precursor state γ'' preceding the formation of the metastable γ' state, with a Ti concentration of 16.5(1.0) at.% in the particles. In the scattering patterns of a Ni-12.0 at.% Ti single crystal aged at 1200 and 1240 K, strong scattering intensities along 〈100〉 related to the coherent γ''/γ' states, and sharp streaks along 〈111〉 related to plates of the stable η phase appear successively. At 1240 K, the presence of the L12-related intensities along 〈100〉 is unexpected, as this temperature lies above the metastable miscibility gap suggested in the literature.
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  • 34
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    Applied crystallography online 33 (2000), S. 492-495 
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    Notes: The glass with composition 13Na2O-11CaO-76SiO2 (mol%) undergoes subliquidus phase separation via a binodal mechanism. At temperatures below the binodal temperature, Tb = 978 K, the glass separates into two amorphous phases, silica-enriched droplets and a silica-poor matrix. Small-angle X-ray scattering was used to study the formation of the droplet phase at 923 K as well as the process of reversion where the precipitates dissolve after an increase in temperature. After a heat treatment of 48 h at 923 K the system is in the stage of coarsening. However, the equilibrium volume fraction of the droplet phase, we = 0.073, has not yet precipitated. The reversion of the droplets was studied at T = 983 K and T = 963 K. For T 〉 Tb, the precipitates dissolve completely by an interdiffusion process resulting in a decrease of the silica concentration of the droplets, while the phase boundary is preserved over long times. For T 〈 Tb, the reversion process shows two distinct stages. In the first stage, the silica concentration inside the droplets decreases and all precipitates shrink until the concentration in the matrix reaches its new equilibrium value. Afterwards, the largest droplets grow again by slow coarsening.
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  • 35
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    Applied crystallography online 33 (2000), S. 496-499 
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    Notes: Zirconia precursor gels, prepared in the zirconium n-propoxide, n-propanol, acetylacetone and water system, are studied by small angle X-ray scattering (SAXS). The SAXS intensity pattern exhibits a pronounced maximum for a scattering vector q different from zero. The intensity maximum of the finite q-vector peak increases during gelation while its position qm moves towards smaller and smaller q—vectors. The SAXS intensity distribution is well accounted for by recent direct numerical calculations of diffusion-limited cluster aggregation (DLCA). The structural aspects of cluster growth can be described by scaling assumptions. The position qm of the intensity maximum and the structure function S(q/qm,t) are shown to scale according to S(q/qm,t) = qm(t)−d F(q/qm) where F(q/qm) is a time-independent scaling function. This scaling requires d=Df, the fractal dimension of the clusters, instead of d=3 for spinodal decomposition. The gel structure is made up of connected fractal clusters, around 50 nm in size, with an apparent fractal dimension of 1.7, resulting from the aggregation of very small primary particles about 2.5 nm in diameter.
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  • 36
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    Applied crystallography online 33 (2000), S. 500-503 
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    Notes: Small-angle neutron scattering experiments were performed on the bulk amorphous alloy Zr41.2Ti13.8Cu12.5Ni10Be22.5 (Vit1®, subscripts indicate at.%) and on other alloys, where the (Zr,Ti) and (Cu,Be) contents were varied by following the line in composition space connecting Vit1 and Zr46.8Ti8.2Cu7.5Ni10Be27.5 (Vit4®). The small-angle neutron scattering data of the samples, annealed at temperatures between 603 K and 663 K, show interference peaks, giving evidence for spatially correlated arrangements of inhomogeneities. The Q values of the interference peaks, Qmax, decrease with increasing annealing temperature Ta and, at a given annealing temperature, with composition following the connecting line from Vit1 to Vit4. Down to the glass transition temperature Tg, the data follow a relation 1/L2 ∝ (Ts − Ta) as predicted by the linearized Cahn theory, with L = 2π/Qmax the characteristic wavelength of the decomposition and Ts the apparent spinodal temperature. Below Tg, a different behavior is observed, which may be either due to a change in atomic diffusion or due to an insufficient relaxation of the samples.
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  • 37
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    Applied crystallography online 33 (2000), S. 504-506 
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    Notes: Results obtained using the Brunauer-Emmett-Teller method, small-angle x-ray scattering and wide angle x-ray diffraction in the study of porous silicon are compared. The BET method seems to fail when the porosity of samples is smaller than 50%, giving unrealistically large values for the specific surface area, but giving results similar to SAXS when the porosity is larger than 50%. In the comparison of the WAXD and SAXS data quite large differences between the average particle size and chord length were observed in low-porosity samples. The possible origin of the differences is discussed.
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  • 38
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    Applied crystallography online 33 (2000), S. 507-510 
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    Notes: MgAl2O4 nanoparticles have been prepared using a microemulsion synthesis technique (ME) and a chemical vapour deposition (CVD) approach. In the wet-chemical route, the chain length of the surfactant molecules used to stabilise the microemulsion as well as the annealing conditions (temperature and time) after preparation were varied. For CVD samples, the influence of the target temperature and the consecutive annealing temperature were investigated. A pinhole small-angle X-ray scattering camera was employed to determine the size and size distribution of primary particles as well as agglomerates. ME material is primarily obtained in the form of amorphous non-agglomerated particles; CVD raw material is crystalline and agglomerated. Upon annealing, agglomerates of ME material form and then grow faster than the primary particles do; in CVD material the agglomerates do not grow. Agglomeration is suppressed if the CVD process is carried out at elevated target temperature.
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  • 39
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    Applied crystallography online 33 (2000), S. 511-514 
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    Notes: Molecular structure of pathologically changed biological tissue differs greatly from the normal one. It gives the opportunity to diagnose different diseases by using methods of structural tissue analysis. The present paper is based on Ultra-Low Angle X-ray (ULAX) coherent scattering data from 1000 paired samples of mammary gland tissue dissected during the surgical treatment from 500 patients with different types of breast tumours (malignant or benign) and tumour-like formations (fibrocystic change). The medical data (histological and histostereometrical analysis) and the digital scattering information have been compared by regression analysis to produce the scattering pattern recognition code that demonstrates the high sensitivity of the ULAX method.
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  • 40
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    Notes: Three different small-angle neutron scattering facilities, the "YUMO" camera at JINR (Dubna, Russia), the V4 camera at HMI (Berlin, Germany) and D11 camera at ILL (Grenoble, France), were used in the investigation of 30S ribosomal subunit from Thermus thermophilus. Parallel X-ray measurements on X33 camera at DESY (Hamburg, Germany) were used to control the identity of deuterated particles. The neutron and x-ray contrast variation data were interpreted by direct method using spherical harmonics. Structural models of the 30S ribosomal subunit from Thermus thermophilus and its RNA -rich core with the resolution 3.5 nm were constructed. A comparison between the 30S Thermus thermophilus and 30S E.coli models shows that primary difference between them consists in the special distributions of the protein component whereas the special distributions of the RNA component coincide well in both models.
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  • 41
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    Applied crystallography online 33 (2000), S. 524-525 
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  • 42
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    Applied crystallography online 33 (2000), S. 519-523 
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    Notes: X-ray crystallography is the single most powerful method for the determination of accurate and precise macromolecular structures. The study of macromolecular motions, however, is, despite some successes with time-resolved crystallography not within the realms of the method. Further, the study of large macromolecular complexes sometimes poses tremendous problems of various kinds for x-ray crystallography and many laboratories approach large structures by solving individual domains. We herein present two examples employing small-angle x-ray and/or neutron scattering (SAXS, SANS) to study (i) conformational changes, and (ii) protein-lipid complexes complementing information from x-ray crystallography. The structural changes of creatine kinase upon substrate binding were investigated as an example of conformational changes not comprehensible from crystallography in the absence of crystal structures of the substrate-ligated enzyme. We also present studies of apolipoprotein E, reconstituted with lipid, in which a combined approach using SAXS/SANS, x-ray crystallography and other techniques yields a model of the complex not accessible by either of the methods alone.
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  • 43
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    Applied crystallography online 33 (2000), S. 526-529 
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    Notes: We have measured the static form factor of superhelical DNA by SANS in dilute aqueous solution as a function of salt concentration. Theoretical static form factors were calculated by Monte Carlo simulations. Simulated and measured form factors are in very good agreement and can be interpreted in terms of the superhelix diameter, which decreases from (16.0±0.9) nm at 10 mM to (9.0±0.7) nm at 100 mM Na+ concentration. This result contradicts a lateral collapse of the DNA superhelix in physiological salt concentrations as recently found by cryo-electron microscopy.
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  • 44
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    Applied crystallography online 33 (2000), S. 530-534 
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    Notes: A method for ab initio low-resolution shape and internal structure retrieval from contrast variation solution scattering data is described. The method uses a multiphase model of a particle build from densely packed dummy atoms and employs simulated annealing to find a compact interconnected configuration of phases that fits the available experimental data. In the particular case of a single phase particle (shape determination) the method is compared to another ab initio method using low resolution envelope functions. Examples of the shape determination of several proteins from experimental X-ray scattering data are presented.
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  • 45
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    Applied crystallography online 33 (2000), S. 540-543 
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    Notes: We have investigated the scattering properties of mixtures of aggregated-whey-protein colloid (AWC) particles and an exocellular polysaccharide (EPS) from a lactic acid bacterium. Exceeding a certain concentration leads to a phase separation, which can be explained by an effective depletion attraction between the AWCs due to non-adsorbing EPS. The measured scattering intensity of a AWC/EPS mixture shows that the structure factor of the AWC particles increases at low wave vectors with increasing EPS concentration. The measurements can be described qualitatively in terms of the structure factor, calculated using integral theory including an expression for the depletion interaction potential.
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  • 46
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    Applied crystallography online 34 (2001), S. 480-483 
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    Notes: Planarity and similarity restraints are described using a unified framework for the computation layout. In both cases, the gradient and Hessian of the restraint residual with respect to atomic coordinates are derived. All computed quantities (residual, gradient, Hessian, normal and distance to the plane for planarity restraints, rotation and translation in the case of similarity) can be obtained directly, without iterative procedure.
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  • 47
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    Applied crystallography online 34 (2001), S. 613-624 
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    Notes: A Monte Carlo code for the simulation of neutron strain scanning experiments on a reactor-based two-axis diffractometer is described. In order to validate this code, several experiments have been performed. A comparison is made between experimental and simulated results for instrumental resolution, primary beam divergence and wavelength distribution in the incident neutron beam. Finally, the application of the simulation results to the analysis of a real neutron strain scanning experiment is outlined.
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  • 48
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    Applied crystallography online 34 (2001), S. 608-612 
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    Notes: The possibility of finding, for a given X-ray wavelength, the conditions for obtaining multiple coplanar reflections in a single block of crystal is investigated. It is found that by introducing a small relative tilt between two parts of the crystal, the conditions for a high-resolution X-ray monochromator for conventional and synchrotron X-ray sources can be obtained. The design of a new high-resolution monochromator–collimator based on a single crystal, which takes advantage of the existence for almost any wavelength of n and m planes in the single crystal that lie near the Bragg condition, is presented. A weak link between the two reflecting surfaces is used to align the crystal planes and to obtain efficient reflections in the dispersive configuration. DuMond diagrams are used to evaluate the total diffracted intensity and the resolution of such a monochromator. The experimental results obtained from prototypes made of single crystals of silicon and germanium are in good agreement with theoretical predictions. This new type of monochromator offers the advantages of a compact design and simple alignment.
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  • 49
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    Applied crystallography online 34 (2001), S. 646-653 
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    Notes: The use of bent asymmetric Laue crystals to focus synchrotron X-rays sagittally from 15 to 50 keV is described. A four-bar bender, bending a rectangular planar crystal, produced the necessary sagittal and meridional bending for this unique application. Adjustments of the tilt angle and height of the bent crystal resulted in first- and second-order corrections, respectively, to the dependence of the angle of diffraction on the horizontal position on the crystal. After these corrections, the remaining variation of the diffraction angle was of the order of 10 µrad. The theoretical sagittal focal length was verified. A prototype of a double-crystal sagittally focusing monochromator was constructed and tested, using two identical Laue crystals. A horizontal divergence of 3 mrad was focused to a horizontal dimension of about 0.4 mm. The X-ray flux density at the focus was a few hundred times larger than that of unfocused X-rays.
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    Applied crystallography online 34 (2001), S. 663-665 
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    Notes: In past years, both experimental and analytical approaches have been developed for eliminating preferred orientation effects on powder X-ray diffraction patterns. The state of the art does not allow one to face the problem without difficult sample treatments, mechanical randomization, pole-figure study or pattern fitting based on the Rietveld approach. These methods are time consuming or need the knowledge of all the structural parameters, and, moreover, must be managed by specialized operators. Besides, none of the above techniques can be applied to powder samples of drugs loaded into polymeric carriers, the diffraction patterns of which present a structured amorphous halo from which the crystalline drug peaks rise up. In this paper, it is shown that micro X-ray diffraction on capillary powder samples, combined with a two-dimensional detector, is a promising solution to preferred orientation problems, since it provides easy and rapid preparation of randomly oriented powder samples, fast measurements (acquisition times of a few minutes) and correct powder diffraction patterns.
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    Applied crystallography online 34 (2001), S. 691-698 
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    Notes: A modified least-squares analysis is presented that allows reliable structural parameters to be extracted from a powder diffraction pattern even in the presence of a substantial unmodelled impurity contribution. The algorithm is developed within the context of Bayesian probability theory. Experimental points that fall above those calculated, and are thus more probably from impurity peaks, are systematically down-weighted. This approach is illustrated with a two-phase example.
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    Applied crystallography online 34 (2001), S. 681-690 
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    Notes: A new method for analysing X-ray peak broadening caused by compositional fluctuation is proposed. The method is applicable to epitaxial layers with diamond or zinc-blende structure on (001) substrates. In the new method, a rescaling procedure with a difference variable ΔA is applied to measured X-ray profiles and the dependence of the profiles on various reflection indices hkl is analysed. The theoretical formula reveals that X-ray peak profiles become independent of hkl after the rescaling. A new criterion is proposed; an experimental examination based on the criterion makes it possible simply to judge whether or not X-ray peak broadening is caused by compositional fluctuation. The method is verified experimentally and demonstrated by applying it to an InGaAs multilayer sample having artificial compositional fluctuation.
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    Applied crystallography online 33 (2000), S. 577-581 
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    Notes: In this study small angle neutron scattering was used to characterize the formation of micelles in aqueous solutions of the detergents DMG and SPC as a function of detergent concentration and ionic strength of the solvent. The effects on the micelle structure of the additives glycerol and PEG, alone as well as in combination typical for membrane protein crystallization, were also explored. This study suggests that the micelles are rod-like in form at the concentrations studied. The size of the micelles was observed to increase with increasing ionic strength but decrease with the addition of glycerol or PEG.
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    Applied crystallography online 33 (2000), S. 569-573 
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    Notes: We applied small-angle neutron scattering (SANS) contrast variation to samples where a microphase separation occurred. The samples contain multilamellar vesicles in equilibrium with excess "solvent" that produce a very common powder pattern in SANS: a Debye-Sherrer ring produced by the regular bilayer packing superposed to a sharply decaying Porod behaviour. These two features of the SANS pattern have distinct contrast match points (CMP). We exploit here the small angle signal to determine the partition of sugars between two coexisting microphases. The net result is an exclusion of small sugar molecules from the liquid crystalline domains of the sample. We discuss this exclusion in relation with the observed maximum swelling, headgroup hydration and bilayer softening induced by the presence of the sugar molecules.
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    Applied crystallography online 33 (2000), S. 582-586 
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    Notes: We have developed a cell allowing in situ measurement of the osmotic pressure of solutions under Ultra Small-Angle X-ray Scattering (USAXS) examination. The coupled set-up made of a Bonse/Hart camera and a deionisation close circuit allows the combined determination of the structure factor and the equation of state of colloidal suspensions. A precise control of ions concentration inside the reservoir allows to vary the ionic strength of the suspensions from the very pure case of colloidal crystals to sols with tunable screening of electrostatic repulsive interactions. We describe in detail the experimental set-ups and the data treatment methodology that we have been developing in the last years to allow detailed measurements of interactions and correlations between spherical particles. A review of our recent results obtained on the model system of negatively charged parabromostyrene latex particles forming solutions, crystals and microcrystals, is given as an illustration.
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    Applied crystallography online 33 (2000), S. 574-576 
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    Notes: We discuss the analysis of the volume transition in thermosensitive colloidal core-shell particles by synchrotron small-angle X-ray scattering. The latex-particles are dispersed in water and consist of a solid poly(styrene) core (diameter: 107 nm) and a shell of a thermosensitive crosslinked polymer chains. The thermosensitive shell is built up from poly(N-isopropylacrylamide) chains (PNIPA) crosslinked by N,N'-methylenbisacrylamide (BIS). The scattering intensities measured as function of temperature may be decomposed into a part deriving from the overall structure and a part originating from the fluctuations within the network. The analysis of the overall structure leads to the volume fraction of the swollen network at different temperatures. The intensity caused by the fluctuations of the network becomes the leading contribution at high scattering angles. It may be described by a Lorentzian below and above the volume transition. The analysis demonstrates that critical fluctuations of the network around the transition temperature are fully suppressed. This finding is explained by the strong steric constraint of the network by its confinement within a shell of colloidal dimensions: i) The swelling and shrinking can only take place along the radial direction, and ii) the chains are bound to the solid surface of the cores which remains constant during the transition.
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    Applied crystallography online 34 (2001), S. 737-743 
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    Notes: Much of crystallography is concerned with the accurate location of the centre of diffraction peak profiles. Simple analytical expressions are derived for estimating the precision of diffraction peak location that can be achieved for Gaussian diffraction peaks with a flat background, in terms of the standard deviation, integrated intensity and peak height (H) to background (B) ratio. Two formulations are derived using standard methods: one for the case of very low background, the other for significant backgrounds. It is found that in cases of significant background, peak position is less well determined by a factor of [1+2(21/2)B/H]1/2 compared with the case of no background. The applicability of the expression has been demonstrated by Monte Carlo simulation of Gaussian profiles and by the analysis of real data collected at a large number of neutron and synchrotron sources, largely as part of the VAMAS TWA20 project. While the solution is presented for Gaussian peak shapes, it is believed to be approximately correct for a wide range of other common diffraction peak shapes (Lorentzian, Voigtian etc.). The method is applied to the assessment of the variation in optimal measuring time as a function of the depth of the gauge volume for residual strain scanning measurements.
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    Applied crystallography online 33 (2000), S. 659-663 
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    Notes: Small angle X-ray fibre diffraction on aligned elongated macromolecules has been a routine tool for the structure of materials that either can not be crystallized or in cases in which one wants to study the structure of the molecule as close as possible to those occurring in solution. One of the problems with this approach is that quite often it is not possible to obtain completely aligned samples but only samples in which there is an angular distribution around the main orientation axis. This has as a consequence that atlarger scattering angles the contributions from different layer lines start to overlap. A possible method to overcome this problem can be found in combining results from small angle solution scattering with small angle fibre diffraction from molecules aligned with their long axis parallel with respect to the X-ray beam. In the latter case one only observes the projection of the molecule on the basal plane. We show how this method can be applied to hydrated microtubules.
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    Applied crystallography online 33 (2000), S. 695-699 
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    Notes: Simultaneous small-angle scattering and wide-angle diffraction using a synchrotron radiation microbeam was applied for the first time to investigate single carbon fibers in a position-resolved way. Taking into account the exact X-ray beam profile and examining the fibers in two scattering geometries allowed a discrimination between different models for the internal arrangement of carbon layers and pores. For a fiber based on polyacrylnitrile the carbon layers were randomly oriented within the fiber cross section, whereas in a mesophase-pitch based fiber the layers were arranged in a radial structure.
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    Applied crystallography online 33 (2000), S. 704-708 
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    Notes: Two examples are presented that illustrate the capabilities of DND-CAT instrumentation for the study of the effects of processing on polymers. Firstly, a thermoplastic elastomer, Hytrel®, was stretched while 2-D data were collected simultaneously. The Hytrel® data show that the yield point of the stress-strain curve is associated with the sudden appearance of a four-point pattern. At higher deformations, strain-induced crystallization and the destruction of the hard segment domains lead to a substantial decrease of the contrast as monitored by the SAXS invariant. Prior to breakage, the extent and intensity of an equatorial streak develops as the material fibrillates. Secondly, SAXS and WAXS data were collected from quenched and annealed Poly(ethylene terephthalate) (PET) samples mounted on a DSC cell, to characterize the pre-melting shoulder in this material. Results show that substantial melting and re-crystallization occurs within the range of this shoulder in the quenched sample.
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    Applied crystallography online 33 (2000), S. 714-717 
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    Notes: We report a study of metallocene isotactic poly(propylene) (m-iPP) which crystallizes into α and γ crystal modifications. Simultaneous in-situ small- and wide-angle X-ray scattering (SAXS and WAXS) were used to study kinetics during crystallization. Both techniques provide information about time development of crystallinity, while WAXS gives also kinetics of formation of α and γ crystals. During the earliest stages of crystal formation, the SAXS Bragg peak occurs simultaneously, or slightly lags, the appearance of crystalline WAXS reflections. We conclude crystallization occurs by a nucleation and growth process in this m-iPP.
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  • 62
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    Applied crystallography online 3 (1970), S. 27-32 
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    Notes: A technique is described for the determination of crystallographic polarity which is generally applicable to large polar crystals containing an element heavier than K. It is an extension and simplification of Cole & Stemple's method in which the intensities diffracted by (00 l) and (00\overline l) planes are compared at wavelengths close to an absorption edge of a constituent element. A definitive polarity determination may now be made without previously measuring or assuming values of Δf′ and Δf′′ at the edge.
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    Applied crystallography online 3 (1970), S. 101-102 
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  • 64
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    Applied crystallography online 3 (1970), S. 110-112 
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    Notes: A method is suggested, using diffraction line displacements, to facilitate simultaneous determination of one-dimensional strain in a particular direction in the surface of a polycrystalline material and of the lattice parameter corresponding to the unstressed state. A single exposure at perpendicular incidence of the primary X-ray beam enables both values to be obtained. Full advantage is taken of the ratios of diffraction ring diameters.
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  • 65
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    Applied crystallography online 3 (1970), S. 120-123 
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    Notes: A computer program has been written for the evaluation of the size of coherently diffracting domains, microstrains, and stacking fault probabilities for f.c.c. and h.c.p. single crystals. After correcting for instrumental effects, the Warren–Averbach analysis is applied to reflections which are not affected by stacking faults. The fault-broadened peaks are then analyzed and the results plotted.
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  • 66
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    Applied crystallography online 3 (1970), S. 137-145 
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    Notes: The methods of Lake [Acta Cryst. (1967) 23, 191] and Schmidt [Acta Cryst. (1965) 19, 938] for calculating slit-length collimation corrections in small angle X-ray scattering have been compared in a number of tests. The tests showed that under most conditions neither method introduces errors larger than the expected uncertainty in present-day scattering data and that slit-length corrections are relatively insensitive to small changes or errors in the weighting function. Neither method is extremely sensitive to random errors in the measured intensity but the effect of these errors is somewhat smaller with Schmidt's method than with Lake's. Three cases were found in which one of the correction methods should be avoided or used with caution: with Schmidt's method errors are produced in the outer part of the scattering curve if the angular increment is too large – a criterion has been developed for determining acceptable increments; if Lake's method is used in an angular region in which a scattering curve has subsidiary maxima or minima, more iterations may be necessary than are required for monotonically decreasing scattering curves; the usual form of Lake's method, which was developed to converge rapidly with curves which have a zero-angle maximum, was sometimes found to give appreciable errors for curves with a pronounced minimum at zero scattering angle. When the latter type of curve is corrected by this method, precautions should be taken to ensure that the collimation correction is not introducing errors.
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    Applied crystallography online 3 (1970), S. 179-180 
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    Notes: A modification of the refinement procedure proposed by Shoemaker & Bassi [Acta Cryst. (1970). A26, 97] is described in which the correction to the unitary orientation matrix, valid to second order in the small rotational adjustment, is applied after constraints due to crystal symmetry (which is presumably lost owing to measurement errors) have been applied to the lattice constants, and in such a way as to preserve (to second order) the unitary character of that matrix.
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    Applied crystallography online 3 (1970), S. 185-187 
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    Notes: Two computer programs, for use with an Elliot 803 machine, are described. These programs enable atomic projections from any crystal system, other than the triclinic, to be constructed in a relatively short time.
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  • 69
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    Applied crystallography online 3 (1970), S. 157-164 
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    Notes: Three methods are described of eliminating the influence of the satellite group in the variance method of X-ray line profile analysis. The first is to interpolate the line profile under the satellite group: however, the satellite group must be reasonably well distinguished from the α1 tail and from the background. The second method is to correct the experimental variance-range curve by a graphical construction: this assumes that the satellite lines and the broadening function are Cauchy in form. The third method is to compute the necessary corrections to the slope and intercept of the linear variance-range function by using model spectral distributions with and without the satellite group. The first two methods are applied to profiles from powders of iron and iron alloys studied with iron radiation, the third method uses an analytical model of the spectral distribution of the iron Kα multiplet. The corrections given by these methods to be made to the slope and the intercept of the variance-range function are nearly constant for all but the smallest amounts of particle-size broadening. It is also shown that particle sizes determined either from slope or intercept of the variance will be underestimated if correction is not made for the satellite group.
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    Applied crystallography online 33 (2000), S. 749-752 
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    Notes: Details of structure and composition at interfaces may be obtained by Small Angle Neutron Scattering (SANS) contrast variation. At the curved oil/surfactant/water interfaces of microemulsion droplets useful results may be obtained by simultaneous fits of core-shell models to SANS data measured at different scattering contrasts. Results for small ethyl octanoate/dimethyldodecylamineoxide/water droplets, where the oil core penetrates the surfactant layer, will illustrate this method. For block-copolymer micelles with deuterated poly(lactic acid) core, the composition profiles of thicker poly(ethylene glycol) shells were obtained using a model with a vertical step and two diffuse shells. One of the three water contrasts used was close to the "mean contrast" match point for the whole micelle, as opposed to "shell" contrast, providing a peak in the form factor very sensitive to the model used.
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    Applied crystallography online 3 (1970), S. 243-250 
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    Notes: Samples of the ferrimagnetic material Ba3Co2Fe24O41, pre-aligned in a magnetic field and sintered at various temperatures, have been examined for preferred orientation. Schulz's reflection technique and the standardizing method of Holland were used to determine quantitative pole figures of several lattice planes. The texture bears a close resemblance to a `fan texture' in which the crystallites have their basal planes parallel to a preferred direction. The sharpness of the texture increases with increasing sintering temperature. At 1320°C an exaggerated grain growth takes place. Inhomogeneity of the magnetic field throughout the sample results in local differences in orientation.
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    Applied crystallography online 3 (1970), S. 272-277 
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    Notes: A procedure involving the use of Fourier coefficients is suggested for the separation of the el component from an experimental diffraction profile. In contrast to the well known Rachinger method, the procedure described here does not require experimental data at any predetermined intervals. Furthermore, the separation error, if any, is evenly distributed. As in the Rachinger method, prior knowledge of the α1−α2 angular separation and the ratio R = Iα2(max)/Iα1(max) is assumed. If, however, R is unknown, then the mathematical analysis can be extended to determine the value of R.
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    Applied crystallography online 3 (1970), S. 284-284 
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    Applied crystallography online 3 (1970), S. 288-288 
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    Applied crystallography online 3 (1970), S. 297-305 
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    Notes: The local atomic arrangements in an Au-40 at.% Pd alloy were investigated by measuring the X-ray diffuse scattering from a single crystal. A computer simulation of the short-range structure was used in the interpretation of the diffuse scattering results. The interpretation indicated a tendency toward the formation of a tetragonal AB long period superlattice which has not previously been observed to occur. The static displacements of the atoms from their average positions were shown to be very small in this alloy.
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    Applied crystallography online 3 (1970), S. 313-318 
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    Notes: A method is presented for correction of integrated X-ray intensities for preferred orientation in cubic powders. It is based upon examination of the polar axis density distribution, which describes the orientation of crystallites in the specimen, and upon the use of a cubic harmonic expansion in its representation. The method was tested on four specimens of aluminium, which showed different degrees of preferred orientation. The (111), (200) and (220) lattice plane normal distributions of the specimens were determined by measurement of the integrated intensities for various polar angles. Cylindrical symmetry was effected with a specimen spinner. The corrections to the Bragg reflections were derived from the orientation distribution obtained; they ranged from 0.5 to 12%. The final values were in agreement, to the extent of 1% or less, with those of a specimen in which the orientation distribution was random within the limits of experimental error.
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    Applied crystallography online 3 (1970), S. 342-348 
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    Notes: A simple and rapid procedure for orientating electron diffraction patterns required for the simultaneous determination of the Burgers vectors of dislocations in twin related or coincidence site related crystals is described. The determination of the Burgers vectors of dislocations in twin related zinc crystals is used as an example of the procedure. The procedure is applicable to all crystal structures and is based on the detailed analysis of the rotations about the optical axis and goniometer tilt stage axis of an electron microscope required to produce desired diffraction patterns from the two crystals of interest. The analysis also illustrates the way in which the tensor notation may be used in elementary vector algebra applied to lattice geometry.
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    Applied crystallography online 3 (1970), S. 385-388 
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    Notes: The diffuse X-ray scattering from single crystals of 36:64 and 50:50 KCl–KBr solid solutions has been studied. The analysis of the results, which follows the method described by Borie, is based on the approximation of a solid solution Cl−–Br−. The observed values of the distortion constant for the chloride ion are 2–3 times greater than those calculated on the basis of the conventional values of ionic radii.
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    Applied crystallography online 3 (1970), S. 389-392 
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    Notes: The isomorphisms and the transition points of K2MoO4, K2WO4, RbMoO4 and Rb2WO4 were studied and the cell constants of the occurring phases computed.
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    Applied crystallography online 3 (1970), S. 400-403 
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    Notes: A method is described for obtaining X-ray diffraction photographs, equivalent to those obtained under single-crystal rotation conditions, from materials available only in the form of fine microcrystalline powders of acicular or platy habit. The technique involves dispersing the crystalline powder in an appropriate thermoplastic polymer followed by streaming orientation of the particles in an extrusion process. The particles are held in their new positions by solidification of the polymer melt. With acicular powders, and using a polyethylene matrix, the orientation is improved by cold drawing. The oriented composite is immediately ready for X-ray studies.
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    Applied crystallography online 3 (1970), S. 407-409 
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    Notes: A correlation is presented between the root-mean-square strain as measured for cold-worked f.c.c. metals and that calculated from anisotropic dislocation theory.
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    Applied crystallography online 3 (1970), S. 417-417 
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    Notes: Single crystals of hexagonal LiIO3 and its new tetragonal modification were grown in an aqueous solution using the evaporation method under almost identical growing conditions. The hexagonal crystal changed irreversibly to the tetragonal one at about 255°C. The latter belonged to the point group 4/m. The lattice constants were a = 9.73 and c = 6.15 Å.
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    Applied crystallography online 3 (1970), S. 422-422 
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    Applied crystallography online 3 (1970), S. 425-425 
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    Applied crystallography online 3 (1970), S. 423-423 
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    Applied crystallography online 3 (1970), S. 424-424 
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    Applied crystallography online 3 (1970), S. 496-503 
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    Notes: Cation ordering in magnesium and nickel ferrites was studied by X-ray diffraction measurements carried out at the temperature of equilibration and also on quenched specimens. The order parameters on quenched specimens agreed with results previously reported by others but not with values measured at temperature. Previous results on quenched specimens had been described by a simple mass action relation with constant ordering energy. The new results on equilibrated specimens require a modified Bragg–Williams-type relation in which the ordering energy varies with the degree of order. Both ferrites are inverted when in equilibrium at low temperature. Magnesium ferrite approaches a random distribution at high temperature with a Curie point at about 1070°C. Oxygen positional parameters were 0.243±0.001 for both ferrites at room temperature. The lattice parameter of nickel ferrite quenched from temperatures up to 1255°C was 8.3295±0.0001 Å. For magnesium ferrite the lattice parameter varied from 8.3775±0.0001 Å, when quenched from 784°C. to 8.3848, when quenched from 1271°C.
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    Applied crystallography online 3 (1970), S. 409-410 
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    Notes: The speed of the conventional process of X-ray diffraction photography can be greatly improved by the use of a new industrial X-ray film and a fluorescent screen. This process produces a transparent film with about a tenfold decrease in exposure time and at a cost less than that of standard nonscreen film.
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    Applied crystallography online 3 (1970), S. 413-417 
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    Notes: The lattice type of the co phase in Ti–30%V alloy was determined with the X-ray precession method. Plane-net patterns of reciprocal lattice levels, normal to [110], [100], and [111] directions of the β phase, indicate that the ω phase has a b.c.c. structure with a lattice parameter three times that of the β phase.
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    Applied crystallography online 3 (1970), S. 419-421 
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    Notes: The increasing use of the electron microprobe analyser in research laboratories in recent years renewed the interest in the Kossel line method. Since it is possible to obtain diffraction patterns from selected areas – smaller than 5 microns diameter – this technique has been applied to measure the grain orientation in polycrystalline materials. Comparing the different published methods of interpreting the Kossel patterns, it has been found more convenient to use a digital computer with a peripheral graph plotter to obtain charts.
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    Applied crystallography online 3 (1970), S. 551-552 
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    Applied crystallography online 4 (1971), S. 43-50 
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    Notes: The variance of the X-ray spectral distribution in the Cu Kα multiplet has been redetermined with improved accuracy and over a wider range than previously. This investigation is parallel to that of Edwards & Toman on iron radiation, with which comparison is made on the following points: (i) the effect of using a β-filter and (ii) the effect of interpolating the line profile under the Kα satellite group. Both definitions of the variance are considered and three linear regions can generally be distinguished in the variance–range function. The choice of definition and the usefulness of the different linear regions in any practical application are also discussed.
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    Applied crystallography online 33 (2000), S. 804-806 
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    Notes: With the start-up of the neutron spallation source SINQ at PSI an instrument for small angle neutron scattering became operational and is open for the user community. The instrument is equipped with state-of-the-art components and compares well with the world's largest and most powerful facilities of this kind. Great emphasis was put on providing a flexible, universal multi-user facility which guaranties a comfortable and reliable operation. In the present paper, the layout of the instrument is presented, the main components are described, and the performance is illustrated by selected examples
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    Applied crystallography online 33 (2000), S. 812-816 
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    Notes: Data acquisition packages developed at different small angle scattering facilities use different formats both for raw and processed data storage. To facilitate the data exchange between laboratories, a consensus in the small angle scattering community has been reached on an ASCII format for one-dimensional data which includes a self-describing header containing relevant information about the sample and instrumental conditions followed by raw or reduced data in a tabular form. This format called sasCIF was implemented as an extension of core CIF (Crystallographic Information File) dictionary.
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    Applied crystallography online 3 (1970), S. 542-543 
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    Notes: For accurate absorption-correction calculations, a precise knowledge of the crystal shape is essential. A least-squares determination of the coordinates of the crystal apices according to the analytical expressions derived is obtained by taking a series of silhouette photographs of the crystal directly on an X-ray diffractometer with a pinhole in the incident beam and using soft continuous X-radiation.
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    Applied crystallography online 3 (1970), S. 546-547 
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    Notes: Ferroelectric domains in lithium niobate are equivalent to inversion twins and can be displayed in X-ray diffraction topographs using the phenomenon of anomalous dispersion of X-rays.
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    Applied crystallography online 4 (1971), S. 103-109 
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    Notes: At the stoichiometric 1 : 1 ratio of atoms, the cubic NaCl-type monoxides TiO, VO and NbO have a large number of vacant sites on both the metal and oxygen sublattices. X-ray determinations of the thermal expansions of these materials show quite distinct differences. At 298 °K, the coefficients of linear expansion defined as α = (1/a)(da/dT) are as follows: (TiO)0.856(\square)0.144, α = 6.6 (7) x 10−6; (VO)0.848(\square)0.152, α = 9.3 (6) x 10−6; (NbO)0.750(\square)0.250, α = 4.8 (0) x 10−6. Progressive filling of the vacancies in titanium monoxide merely shifts the expansion curves parallel to each other in the direction of higher lattice parameters.
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  • 98
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 4 (1971), S. 130-138 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The theory of the X-ray double-crystal spectrometer is outlined. For a vertical rotation axis, crystal planes should be vertical and the X-ray beam horizontal. Geometrical errors are introduced by crystal tilts (departure from vertical) and misalignment (departure of central ray from horizontal). Even with perfect alignment a vertical divergence correction is required. A typographical error in Schwarzschild's analysis of these geometrical effects led to erroneous results by Schnopper, later corrected in an erratum. The physical significance of this revision is considered here. The resulting expression for relative wavelength error indicates that, for zero tilt, misalignment produces no significant errors in relative wavelengths. Geometrical errors are shown to be negligible in recent measurements of Bearden and very small in earlier work of Bearden & Shaw. The Williams vertical divergence correction, used by Bearden, is proven valid; the Parratt form, preferred by Schnopper, is incorrect. An alignment procedure which can reduce geometrical errors below 1 part per million is described. It employs a precision engineer's level (with autocollimating telescope) and a simple technique for grinding crystal faces parallel to atomic planes.
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  • 99
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 824-828 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Evaluation of small-angle neutron scattering (SANS) data is often complicated by multiple scattering effects if large particles of relatively high volume fraction have to be studied and dilution or contrast reduction is impossible. The use of pin-hole SANS instruments is often limited due to the contradictory requirements of high resolution and short wavelength needed to keep scattering contrast as low as possible. Double crystal (DC) SANS diffractometers of Bonse-Hart and bent-crystal type are useful alternatives in such cases, as they permit reaching very high resolution with thermal neutrons. A method for SANS data evaluation suited to DC instruments is presented. It includes the common scheme of the indirect Fourier transformation method, but takes multiple scattering into account. The scattering medium is described by the frequency function g(x) defined as the cosine Fourier transform of slit-smeared data. Although a simplistic model of polydisperse spheres is used to represent g(x), resulting g(x) function and some integral parameters are independent of this model. Tests on simulated data show, that the method reproduce well true values of microstructural parameters, though systematic errors are observed in the cases when the unscattered part of incident beam completely disappears. If the scattering power 〈N〉 is known and kept fixed during fitting, then other parameters are reproduced well also in the regime of strong multiple scattering. The evaluation procedure permits simultaneously fitting to several sets of data measured for different Q-regions, resolutions and sample thicknesses. It has proved to provide reliable results for particle sizes ranging from about 100 Å to several microns and 〈N〉 〈 10.
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  • 100
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 839-842 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The scattering intensity equals the Fourier-transform of the distance distribution function p(t) = t2Δ\tilde{\rho}2(t) of the sample, where Δ\tilde{\rho}2(t) is the autocorrelation function of the scattering contrast Δρ(r). Δ\tilde{\rho}2(t) carries information both on the structure of the elementary scatterers and on their spatial distribution. In the present paper a method is described how to separate the two types of information in a system of interacting hard spheres.
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