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  • 1
    Electronic Resource
    Electronic Resource
    X-ray diffraction from a crystal containing isolated imperfections (1969)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 25 (1969), S. 682-693 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The X-ray scattering amplitude of a crystal containing isolated imperfections is expressed in terms of the Fourier transform of the atomic displacement vectors. The amplitude contains only the local properties of the imperfections which are `seen' by the incident beam of a finite size. Disruption of the Borrmann transmitted (or diffracted) beam, narrowing of the dynamical diffraction range and `diffuse' scattering caused by dynamically diffracted X-rays are some of the results obtained from the calculated amplitude. Black, white and black-white images in topographs are explained by the present theory. Image contrast is also discussed in terms of the thickness of the crystal.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739469001550
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  • 2
    Electronic Resource
    Electronic Resource
    Primary and secondary extinctions in the dynamical theory for an imperfect crystal (1970)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 26 (1970), S. 667-673 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Primary and secondary extinction are studied using the dynamical theory of X-rays diffracted by imperfect crystals. The transition from dynamical to kinematical scattering is explained in terms of fundamental processes in diffraction. Contrary to existing extinction theories, where the intensities diffracted dynamically by single coherent domains of a mosaic are combined using an ad hoc assumption of mosaic distributions, the present theory permits the dynamical amplitudes to change in response to disturbances of the dynamical interactions by imperfections. Neither the mosaic block model nor the statistical treatment of imperfections is used. The extinction of diffracted intensities is thereby treated as caused solely by inhomogeneous strains in a single coherent domain.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739470001638
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  • 3
    Electronic Resource
    Electronic Resource
    On the principle of X-ray interferometry (1971)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 27 (1971), S. 273-280 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The scattering amplitude of an X-ray interferometer is calculated using a general theory of X-ray diffraction. Analytic expressions are given for the intensities of diffracted beams in interferometry; these expressions include the effect of the positions of each crystal lattice in addition to ordinary dynamical effects. It is concluded that the fringes observed in X-ray interferometry of a lattice spacing are accounted for by an optical (Moiré) effect rather than by dynamical effects of X-ray diffraction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739471000627
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  • 4
    Electronic Resource
    Electronic Resource
    X-ray Compton–Raman scattering (1971)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 27 (1971), S. 634-647 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: X-ray Compton-Raman scattering is reviewed from an original point of view. The differential cross section for X-ray inelastic scattering from crystals is derived from first principles to explain the coexisting Compton and Raman scattering in solids. This derivation makes it possible to express the cross section in terms of the current correlation of electrons in a crystal. All the electrons, including the core electrons, are treated on an equal basis in this formulation. The relationship between the X-ray absorption spectrum and the inelastic scattering spectrum is discussed in detail. This formulation provides a theoretical justification to the importance of X-ray inelastic scattering experiments in connection with an experimental determination of the two-particle Green's function. In the Appendices the theoretical formulations are given in detail, which apply not only to the ordinary inelastic scattering process, but also to the processes involving Bragg diffraction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739471001384
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  • 5
    Electronic Resource
    Electronic Resource
    The dynamical scattering amplitude of an imperfect crystal. III. A dynamical diffraction equation for topography in the spatial coordinate representation (1974)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 30 (1974), S. 525-535 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Based on a general dynamical theory of diffraction, an integral equation for dynamical diffraction in imperfect crystals is obtained in the spatial coordinate representation. This equation is derived for diffraction topography in the symmetrical Laue geometry from the basic dynamical equation of diffraction previously derived in the momentum representation. Discussion is presented on an interpretation of this integral equation beyond the given diffraction geometry. This equation can be considered as a basic equation for diffraction topography.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739474001264
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  • 6
    Electronic Resource
    Electronic Resource
    Single-crystal structure of rapidly cooled alloys with icosahedral symmetry. I. experimental analysis (1986)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 42 (1986), S. 156-164 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Crystallographic analysis is applied to a set of electron diffraction patterns taken from a rapidly cooled Al-Mn alloy to construct reciprocal-lattice patterns in agreement with the observed icosahedral results. The analysis leads to a proposed atomic scale model which is derived from two sets of experimental modulations, each of which has six independent modulation vectors. The underlying structure has a lattice, the unit cell of which involves 32 atomic sites with the required symmetry properties. The appearance of the experimental electron diffraction patterns is explained either by the coherent arrangement of this lattice with an irrational sublattice or by an independent set of modulations. The relationship of this structure to three-dimensional nonperiodic Penrose tilings is explored.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767386099609
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  • 7
    Electronic Resource
    Electronic Resource
    A classical derivation of the dynamical diffraction equation for imperfect crystals based on the Ewald–Laue–Bethe theory (1975)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 31 (1975), S. 774-779 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The basic equation of dynamical diffraction for imperfect crystals, which has been derived previously by a general dynamical theory of diffraction, is rederived classically based on the Ewald–Laue–Bethe concept, thus completing the formulation of a 'scattering matrix' theory. It is shown in this classical derivation that a series of assumptions is required at each stage of the mathematical formulation to allow it to proceed further. These assumptions are then viewed in terms of the general dynamical theory of diffraction, and found unnecessary in the rigouous formulation. This classical formulation provides a conceptual relation between the traditional Ewald–Laue–Bethe dynamical theory and the general dynamical theory, one that has been derived with the aid of quantum-field theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739475001672
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  • 8
    Electronic Resource
    Electronic Resource
    Single-crystal structure of rapidly cooled alloys with icosahedral symmetry. II. Theoretical analysis - internal modulations (1986)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 42 (1986), S. 164-172 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The icosahedral cubic cell, derived in the first of this set of two papers, is further developed. Rules for the occupancy of atomic sites are derived based on periodic modulations over the reference lattice. The form of the derived structure, which involves partial Fibonacci sequence stacking, suggests that the true structure is the limit of a superposition of successively larger periodic sequences. The structure factor for the limiting (nonperiodic) structure is derived and some physical insights into the application of almost periodic functions to icosahedral phase Al-Mn are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0108767386099592
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  • 9
    Electronic Resource
    Electronic Resource
    The dynamical scattering amplitude of an imperfect crystal (1970)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 26 (1970), S. 56-59 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A formal expression for the X-ray dynamical scattering amplitude of an imperfect crystal is obtained. The resultant expression includes the dynamical line broadening effect on the diffracted X-rays caused by imperfections. The effects due to absorption in the crystal are also taken into account.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739470000062
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  • 10
    Electronic Resource
    Electronic Resource
    The dynamical scattering amplitude of an imperfect crystal. II. A relation between Takagi's dynamical equation and a more exact dynamical equation (1972)
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 28 (1972), S. 588-593 
    Details
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A basic equation of dynamical diffraction for an imperfect crystal is derived based on a general dynamical theory of diffraction. This equation is given in the form of a differential equation, and therefore can be considered to describe the diffraction processes locally inside a crystal. A phenomenological interpretation of this equation helps to fill in the gap between modern quantum mechanical treatments and ordinary treatments by dynamical theory of diffraction for a perfect crystal. In the approximation of poor resolution the more exact equation reduces to Takagi's equation. A necessary condition which makes Takagi's equation valid leads to the concept of local reciprocal lattice vectors.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1107/S0567739472001494
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