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  • 1
    Electronic Resource
    Electronic Resource
    Comment on Contrast of HOLZ lines in energy-filtered convergent-beam electron diffraction patterns from silicon by Lehmpfuhl, Krahl & Uchida (1995) (1996)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 52 (1996), S. 497-498 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Whilst investigating higher-order Lane-zone (HOLZ) lines in convergent-beam electron diffraction (CBED) patterns for silicon near low-indexed zone axes, Lehmpfuhl, Krahl & Uchida [Acta Cryst. (1995), A51, 504–514] concluded that there is a strong anisotropy in the Debye–Waller factor at room temperature. It is demonstrated here that no such anisotropy is implied by their experimental results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767396000918
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  • 2
    Electronic Resource
    Electronic Resource
    Inversion of dynamical electron diffraction data including absorption (2000)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 56 (2000), S. 119-126 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A method to invert the dynamical diffraction of high-energy electrons inside a crystal, which takes into account absorption, is discussed. It is shown that, working at fixed energy, the projected potentials associated with both the elastic and the absorptive scattering can be uniquely obtained from the scattering matrix. Inversion is possible for any principal orientation of the incident beam. Model examples are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767399014798
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  • 3
    Electronic Resource
    Electronic Resource
    Inversion of dynamical electron scattering to obtain the crystal potential using data from two thicknesses (2001)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 57 (2001), S. 473-474 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A method is given to invert the multiple scattering of electrons in a crystalline slab to obtain the projected potential. For a fixed orientation of the incident beam of electrons, scattering data are required for two thicknesses of the crystal.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767301006353
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  • 4
    Electronic Resource
    Electronic Resource
    Atomic scattering factors for K-shell electron energy-loss spectroscopy (2001)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 57 (2001), S. 713-728 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Atomic scattering factors for K-shell electron energy-loss spectroscopy (EELS) have been calculated for elements in the range Z = 6 (carbon) to Z = 50 (tin). The calculations are based on relativistic Hartree–Fock wave functions for the atomic bound states and Hartree–Slater wave functions for the continuum states. The results are presented in parameterized form so that accurate values of the scattering factors can be obtained for incident electron energies between 50 and 400 keV, collection semi-angles between 10 and 40 mrad, and energy windows between 25 and 100 eV. The parameterizations are for scattering vectors with magnitude s = \sin \theta / \lambda up to 2.5 Å−1 (2\theta is the scattering angle and \lambda is the wavelength of the incident electrons).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767301012582
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  • 5
    Electronic Resource
    Electronic Resource
    Atomic scattering factors for K-shell and L-shell ionization by fast electrons (2000)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 56 (2000), S. 470-490 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Atomic scattering factors have been calculated for K-shell ionization for elements in the range Z = 6 (carbon) to Z = 50 (tin) and for L-shell ionization in the range Z = 20 (calcium) to Z = 60 (neodymium). The calculations are based on relativistic Hartree–Fock wave functions for the atomic bound states and Hartree–Slater wave functions for the continuum wave functions. The results are presented in tabular form such that accurate values of the scattering factors can be obtained by cubic spline interpolation for incident electron energies between 50 and 400 keV and for scattering vectors with magnitude s = \sin \theta / \lambda up to 2.5 Å−1 (2 \theta is the scattering angle and \lambda the wavelength of the incident electrons). A separate parameterization of the form factors is given for 2.5 \le s \le 20 Å−1, where they are small. In addition, a simpler but less accurate parameterization of the atomic scattering factors in an exponential form has been obtained by fitting the calculated form factors in the region s \le 2.5 Å−1. The scattering factors are suitable for the calculation of ionization cross sections for use in atom location by channelling-enhanced microanalysis (ALCHEMI).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767300007078
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  • 6
    Electronic Resource
    Electronic Resource
    Obtaining the Crystal Potential by Inversion from Electron Scattering Intensities (1998)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 54 (1998), S. 388-398 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A method to obtain the crystal potential from the intensities of the diffracted beams in high-energy electron diffraction is proposed. It is based on a series of measurements for specific well determined orientations of the incident beam, which determine the moduli of all elements of the scattering matrix. Using unitarity and the specific form of the scattering matrix (including symmetries), an overdetermined set of non-linear equations is obtained from these data. Solution of these equations yields the required phase information and allows the determination of a (projected) crystal potential by inversion that is unique up to an arbitrary shift of the origin. The reconstruction of potentials from intensities is illustrated for two realistic examples, a {111} systematic row case in ZnS and a [110] zone-axis orientation in GaAs (both noncentrosymmetric crystals).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767398003560
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  • 7
    Electronic Resource
    Electronic Resource
    Retrieval of the projected potential by inversion from the scattering matrix in electron–crystal scattering (1999)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 55 (1999), S. 105-111 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The retrieval of a unique crystal potential from the scattering matrix {\cal S} in high-energy transmission electron diffraction is discussed. It is shown that, in general, data taken at a single orientation are not sufficient to determine all the elements of {\cal S}. Additional measurements with tilted incident beam are required for the determination of the whole {\cal S} matrix. An algorithm for the extraction of the crystal potential from the {\cal S} matrix measured at a single energy and thickness is presented. The limiting case of thin crystals is discussed. Several examples with simulated data are considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767398003705
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  • 8
    Electronic Resource
    Electronic Resource
    Modeling Thermal Diffuse Scattering in Electron Diffraction InvolvingHigher-Order Laue Zones (1997)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 53 (1997), S. 421-425 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The importance of thermal diffuse scattering (TDS) in electron diffraction contrast is well known. Experiments involving higher-order Laue-zone (HOLZ) reflections are highly sensitive to variations in the TDS form factors. The Einstein model for TDS gives excellent agreement with experimental convergent-beam electron diffraction (CBED) patterns containing HOLZ lines provided that the absorption coefficients are not calculated using perturbative methods but instead are evaluated exactly. This is in contrast to absorption potentials determined from experiments sensitive to beams in the zero-order Laue zone (ZOLZ) only, the use of which can be inconsistent with data sensitive to HOLZ beams. Here the features of the Einstein model important for the correct interpretation of the experimental data are analyzed and why it is inadequate to treat HOLZ beams perturbatively is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767397003176
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  • 9
    Electronic Resource
    Electronic Resource
    A mathematical model for weed dispersal and control (1996)
    Springer
    Bulletin of mathematical biology 58 (1996), S. 815-834 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Mathematical models for weed dispersal and control are developed, analyzed and numerically simulated. A model incorporating periodic control, e.g. herbicide application, is derived for a plant population in a spatially homogeneous setting. The model is extended to a spatially heterogeneous population where plant dispersal is incorporated. The dispersal and control model involves integrodifference equations, discrete in time and continuous in space. The models are analyzed to determine values of the control parameter that prevent weed spread. The effects of the control on travelling wave solutions are investigated numerically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459485
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  • 10
    Electronic Resource
    Electronic Resource
    Would the peak value of the electromagnetic quadrupole form factor of the deuteron determine the percentageD-state? (1978)
    Springer
    The European physical journal 288 (1978), S. 73-77 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that short range unitary transformations on the deuteron wave function of the super-soft-core potential of de Tourreil and Sprung, which fix the percentageD state of the deuteronP D, do not simultaneously fix the peak valueM of the electromagnetic quadrupole form factor of the deuteron within small error bars, even when the transformed wave functions are required to fit the quadrupole moment and the electric form factor of the deuteron within narrow limits. However there is a strong correlation betweenP D andM 2 for realistic interactions whose deuteron wave functions are suppressed at short distances.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01408204
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