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  • 1
    Series available for loan
    Series available for loan
    Kingston : Antarctic Division, Dept. of Science
    Associated volumes
    Call number: ZSP-124-25
    In: ANARE research notes
    Description / Table of Contents: This Research Note details the mathematics behind the development of a program to calculate the impulse function relating two arrays of data. These data arrays are discrete samples of the proposed driving and driven functions. The program is tested for its susceptibility to noise and non-linear variations between the input functions. The impulse function program and relevant test programs are listed and their use described.
    Type of Medium: Series available for loan
    Pages: iv, 42 S. : Ill.
    ISBN: 0642074534
    Series Statement: ANARE research notes 25
    Branch Library: AWI Library
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 24 (1991), S. 431-435 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 35 (1979), S. 445-448 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The effect on the Debye-Waller factors of having scattering factors which depend on atomic motion is developed through the reciprocal-space formulation. The resulting dependence of the Debye-Waller B on the scattering vector is of a simple form when a shell model adequately represents the deformation of the electron distribution. Numerical results are presented, without any serious approximations, for the governing constant appropriate to six alkali halides and explicit results are given for ΔBk/Bk for NaF, NaCl and KCl. A comparison with the recent real-space formulation of March & Wilkins [Acta Cryst. (1978), A34, 19-26] suggests that the reciprocal-space approach might be more fruitful.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 39 (1983), S. 533-538 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A discussion is given on simple grounds, not explicitly involving the dynamical deformation formalism, of the implications of having the outer part of the electron distribution vibrating significantly differently from the core. The use of a lattice dynamical shell model to represent this effect is examined in some detail, with particular reference to the framework within which such a model gives meaningful results. Predictions are given from the 14-parameter shell models and the 11-parameter valence-shell models for the difference between Debye-Waller B values of the shells and cores and also for the effective Debye-Waller factors for the deforming ions in 14 zinc-blende-structure compounds. It is concluded that the effective X-ray Debye-Waller B at very small sin θ/λ is typically several percent smaller than the core B value, owing to a very substantial reduction in the mean-square displacements of shells compared with cores. Results are also given for the 15-parameter deformation-dipole models for eight materials. These show effects broadly comparable in magnitude to the shell models but more varied in detail. Notably, some models show for the first time a larger rather than smaller Debye-Waller factor for the deforming ion.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 35 (1979), S. 785-788 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Accurate theoretical intensities are presented for the phonon scattering at 295 K for Si. The one-phonon and n-phonon cross sections are shown for the principal symmetry directions and the total phonon scattering contours for a section of the (10\bar 1) plane. Previous total phonon calculations have been confined to materials of simpler structure and to a coarser mesh of wavevectors. The Si cross sections show general features which are expected to be seen in a wide variety of materials. These include the behaviour of the scattering near forbidden reflexions, the behaviour in three essentially different kinds of zones and the behaviour close to Bragg peaks. Results are also presented for the temperature dependence of the harmonic Debye-Waller factor.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 36 (1980), S. 957-965 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Calculations are presented of the Debye-Waller factors for silicon, diamond and germanium in the temperature range 1 to 1000 K and for grey tin in the range 1 to 280 K. Values were obtained from the shell model, the adiabatic bond-charge model and the valence force potential model for all four materials. Further values are listed from the fitted Born-von Kármán model for silicon and germanium and from two additional parametrizations of the valence force potential model for silicon. The effect of dynamic deformation on the Debye-Waller factor of silicon and, to a slightly lesser extent, the other three elements, is investigated. The Debye-Waller factor for the shells only in the shell models is calculated. The effect introduced by dynamic deformation whereby the Debye-Waller B value varies with scattering vector K is evaluated. Finally, the anisotropic Debye-Waller factor components for the bond charges are calculated for all four elements. It is found that the bond charges in the bond-charge model and the shells in the shell model vibrate substantially less than the main atomic cores. It is concluded that if the models are at all realistic then the effects of dynamic deformation on the Debye-Waller factors of these elements should be seriously considered.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 39 (1983), S. 1-13 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Lattice dynamical calculations to the full accuracy of the models are presented for the Debye-Waller B values for 17 zinc-blende-structure materials over the temperature range 1 to 1000 K (where appropriate). The materials are GaP, GaSb, GaAs, InP, InSb, InAs, ZnO, ZnS, ZnSe, ZnTe, CdTe, HgSe, HgTe, CuCl, CuBr, CuI and SiC. The models considered were the best lattice dynamical models available that have been fitted to phonon frequencies measured by neutron scattering. These include the shell model, the valence-shell model, the deformation-dipole model, the deformation-ion model and the rigid-ion model. From one to five models were used for each material, depending on the availability of published parameters. For some materials different parametrizations of the same model were examined. Intermodel comparisons show that the substantial difference in B values predicted by different models is attributable principally to the different eigenvectors they produce. Comparisons with fairly recent experimental results highlight the paucity of reliable measured values as a function of temperature and the unreliability and frequent inadequacy of models. The 14-parameter shell model is generally found to be the best.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 37 (1981), S. 382-390 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Consideration is given to the quantities required to convert measured X-ray intensities into absolute units for comparison with theoretical predictions. Attention is focused on the instrumental resolution correction and the factors of incident beam spread and wavelength range, crystal mosaic spread, and detector size and efficiency that contribute to the spread of wavevectors necessarily sampled in a given measurement. A scheme is presented for handling each of these factors with confidence and generally without any assumptions as to their simple analytic form. A set of auxiliary measurements is described which enables a practical amount of data to be collected for the required convolutions. The scheme also provides a simple method for aligning the apparatus in a known way. Some numerical examples are given of the effect of the factors on smearing the scattering from KCl in our apparatus.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 41 (1985), S. 517-528 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The problems of making calculations using the total phonon scattering cross section in the harmonic approximation are examined and it is found that the method of Reid & Smith [J. Phys. C (1970), 3 1513- 1526] can be extended to cope with any material with a modest number of atoms per unit cell. Complex eigenvectors and complex scattering factors may be handled without approximations. The method is used to evaluate the multiphonon scattering (and one-phonon scattering) for a number of cubic zincblende structure compounds including GaAs, CdTe, CuI and SiC, taking eigendata from good lattice dynamical models. The results illustrate a discussion of the typical behaviour of multiphonon scattering as a function of scattering vector and temperature. The effect of anomalous dispersion on the total phonon scattering cross section is also shown and a discussion given of the origin of multiphonon processes, with particular reference to the contribution of these processes to the diffuse scattering observed near Bragg reflections. It is also concluded that dynamic deformation will not significantly affect multiphonon intensities.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 43 (1987), S. 98-102 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Explicitly representing the deformation of ions by the lattice dynamical shell model, the one-phonon scattering is written in a form that is amenable to direct evaluation. An analytic expression for the shell scattering factor is introduced, and the percentage alteration in the scattering brought about by the ionic deformation during vibration is calculated. Contour plots of the effect are presented for GaAs, ZnS and Si as representative of the zinc-blende-structure compounds and group IV elements. The alteration produced by shell models is found to be negative, because for these materials the shell moves less than the core. Its maximum value varies from about -2.5 to -15% depending on the material and lattice dynamical model used. Its structure in reciprocal space should be measurable and could lead to a better understanding of deformation processes.
    Type of Medium: Electronic Resource
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