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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 65 (1989), S. 2214-2219 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The diffuse x-ray scattering intensity from a single crystal of Cu3Au was measured in a volume of reciprocal space at a temperature of 703 K, approximately 35 K above the transition temperature for ordering in this alloy. Intensity was measured in absolute units and was separated into components due to short-range order (SRO) and atomic displacements. The SRO parameters determined agree qualitatively with previous experimenters but agree best in magnitude with the original study by Cowley [J. Appl. Phys. 21, 24 (1950)]. Computer simulations of the structure, based on the SRO parameters, show that atoms with ordered environments tend to cluster into small domains that have dimensions of 1–10 unit cells in length and are surrounded by a disordered matrix. The average displacements of near-neighbor pairs were found to be contrary to what has previously been assumed: Au-Au neighbors were found to have negative displacements on average and Au-Cu pairs positive displacements, compared to the average interatomic displacements.
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 69 (1965), S. 3598-3599 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Chemical reviews 95 (1995), S. 2369-2403 
    ISSN: 1520-6890
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 109 (1998), S. 6519-6522 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A new diagnostic that is useful for checking the algorithmic correctness of Monte Carlo computer programs is presented. The check is made by comparing the Boltzmann temperature, which is input to the program and used to accept or reject moves, with a configurational temperature kBTconfig=|∇qΦ|2/∇q2Φ. Here, Φ is the potential energy of the system and ∇q represents the dimensionless gradient operator with respect to the particle positions q. We show, using a simulation of Lennard-Jones particles, that the configurational temperature rapidly and accurately tracks changes made to the input temperature even when the system is not in global thermodynamic equilibrium. Coding and/or algorithm errors can be detected by checking that the input temperature and Tconfig agree. The effects of system size and continuity of Φ and its first derivative on Tconfig are also discussed. © 1998 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 25 (1992), S. 391-399 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: An investigation is carried out on the feasibility of calculating the diffuse scattering from computer simulations of crystals containing substitutional and displacement disorder which have hitherto been used in conjunction with optical transform methods to aid in the interpretation of observed X-ray diffraction patterns. A straightforward method of calculation based on direct Fourier summation of the simulated lattice is used instead of fast Fourier transform (FFT) techniques, which are not in general suited to this type of calculation. This computational method provides a number of advantages over the optical method. It allows calculation in three dimensions, more flexibility in the assignment of atomic positions and scattering power of the individual atoms involved and the computation can be made in absolute units allowing for direct comparison with data scaled to electron units. Comparison of the two techniques is presented using, as an example, a simulation of planar disorder in a synthetic mullite. It is found that calculated patterns of comparable quality to ones obtained optically are feasible using the current generation of computers. Nevertheless, the transforms can still consume considerable computational resources particularly when the extension to three dimensions is required.
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  • 6
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 25 (1992), S. 801-802 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: In the paper by Butler & Welberry [J. Appl. Cryst. (1992), 25, 391–399], the half-tone figures (Figs. 2, 4, 5 and 6) were poorly reproduced by the printer. These figures are published here with better reproduction.
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  • 7
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1046-1050 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A technique for the measurement of diffuse X-ray scattering on individual reciprocal-space planes using high-energy X-ray photons is described. The method is demonstrated using a disordered crystal of the compound TlSbOGeO4 and compared to data collected with a sealed-tube Cu anode source. Measurements were made on a synchrotron undulator beamline at an energy of 45 keV using Weissenberg flat-cone geometry and a storage phosphor (image) plate to detect the scattered X-rays. Advantages of the method include: extension of the accessible diffraction space to both higher and lower wavevectors, the ability to use crystals of irregular shape without the need for complicated absorption corrections, less need to prepare sample surfaces carefully, and the ability to filter fluorescence simply.
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  • 8
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 24 (1991), S. 184-187 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Experimental near-K-edge anomalous scattering factors f′ and f′′ for Fe, Ni, Cu, Zn and Mn as well as the LIII-edge factors for Hg were determined from measured X-ray absorption spectra using the Kramers–Kronig relation and the optical theorem in the alloys Fe0.716Ni0.242C0.042, Al0.963Cu0.015Zn0.022, Cd0.725Mn0.275Te and Hg0.80Cd0.20Te. While solid-state effects modulate the scattering factors above the edge, the values provided by a modified FPRIME calculation match the experimentally determined values below the edge for all of the elements studied.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 27 (1994), S. 205-231 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: While Bragg diffraction data can only reveal average one-body information, such as atomic positions, thermal ellipsoids and site occupancies, diffuse scattering contains two-body information and is thus potentially a rich source of information on how atoms and molecules interact. The two major mathematical approaches that have been used to understand and analyse this diffuse part of the diffraction pattern are outlined and the difficulties and limitations which arise from the necessary complexity of these mathematical descriptions for any but the simplest of systems are discussed. Further, the progress that has been made in an alternative approach to understanding the local atomic and molecular arrangements in disordered materials, which overcomes some of these difficulties, is reviewed. The method consists of comparing diffraction patterns calculated from a computer model of the disordered structure with measured X-ray diffuse intensities. The advantage of the method is that it can be applied generally to all systems regardless of their complexity or size of the atomic displacements that might be present. Examples are taken from a variety of material systems and include oxygen–vacancy ordering and metal-atom displacements in yttria-stabilized cubic zirconia, disorder in the molecular crystal p-chloro-N-(p-methylbenzylidene)aniline, C14H12ClN (MeCl), and orientational disorder in crystals of 1,3-dibromo-2,5-diethyl-4,6-dimethylbenzene, C12H16Br2 (BEMB2). The computer models are generated using both real-space Monte Carlo methods, which employ near-neighbour effective interactions, and a reciprocal-space synthesis approach. Diffraction patterns are computed in three dimensions using realistic atomic form factors so direct comparison can be made with mathematical descriptions of the diffuse scattering.
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  • 10
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 48 (1992), S. 737-746 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Diffuse intensity absences, on reciprocal planes that pass through the Bragg positions, have been observed in diffraction patterns of Zr0.61Y0.39O1.81 and (Ta2O5).7%(WO3). These absences, occurring on planes normal to near-neighbour directions and high-lighted by sheets of diffuse intensity on either side, are shown to result naturally from atomic size effect distortions. The origins of these diffuse features are explained, using both real-space and modulation-wave approaches, by concentrating on a Monte Carlo simulated two-dimensional binary alloy. These absences, which should be characteristic of systems that distort via the size effect, result from intensity components that do not depend on scattering-factor differences and so will be most prominent when the atomic species have similar scattering powers, thus suppressing the normal size effect intensity component [Warren, Averbach & Roberts (1951). J. Appl. Phys. 22, 1493–1496].
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