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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 77 (1995), S. 5020-5025 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The thermodynamic and kinetic aspects of the nucleation of crystalline phases in plastically deformed a-NiZr layers have been examined considering the effect of a concentration gradient and of an advancing interface on the suppression of both the homogeneous and heterogeneous nucleation process. In establishing the effect of a concentration gradient, the possibility of limited atomic mobility has been explicitly taken into account. An extension to the case of plastic deformation of the concept of a critical velocity of the advancing interface has allowed us to derive a simple expression for the critical thickness of the amorphous layer which can be tested experimentally. Contrary to the case of thermally induced growth of the amorphous layer it is shown that in the case of plastic deformation, because of the combined effect of thermodynamic and kinetic constraints, there is only a finite range of thickness of the amorphous phase which allows heterogeneous nucleation of a crystalline phase. The theoretical predictions on the critical thickness of the amorphous layer and on the critical size of the crystalline nuclei have been compared with the experimental observation that, during plastic deformation, homogeneous nucleation of a metastable crystalline phase is followed at a slightly higher thickness of the amorphous phase by heterogeneous nucleation of a different crystalline compound at the a-NiZr/Zr interface. The theoretical predictions are compatible with the experimental observations and allow us to interpret both the observed sequence of nucleation events and the different growth behavior of the crystalline phases formed by homogeneous and heterogeneous nucleation. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 67 (1995), S. 1944-1944 
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 20 (1987), S. 187-190 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The distribution of carbon among octahedral and tetrahedral interstices of the f.c.c. iron-alloy lattice has been measured by neutron diffraction on a poly crystalline rod of an FeMn alloy containing 5.4 at.% carbon, quenched from 1373 K. The integrated intensities of six reflections have been collected for several sample positions in order to reduce the effect of preferred orientation in the sample. The fraction of carbon atoms occupying octahedral interstices has been found to be 0.9 (1). In analogy with previous work on spinels a thermodynamic relation has been deduced which allows the difference of nonthermal internal energy between the two sites to be calculated from measured occupancy.
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  • 4
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 14 (1981), S. 401-416 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The measurements and calculations of the charge, spin and momentum density of the metallic elements Ti to Ni are examined. Both the Compton profiles (momentum density) and X-ray scattering factors (charge density) are shown to provide a direct determination of the cohesive energy. It generally appears that the 3d spin density is contracted relative to the free atom while the 3d charge density builds up at the Wigner–Seitz cell boundary relative to the free atom particularly near the bottom of the band. No theoretical calculation is available which evaluates charge, spin and momentum density as well as cohesive energy. In addition, a significant disparity between theory and experiment exists for the momentum and charge density anisotropies in the b.c.c. metals. Suggested areas for further work are given.
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  • 5
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 19 (1965), S. 898-909 
    ISSN: 0001-5520
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 37 (1981), S. 391-397 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The reflecting and transmitting powers of a plane-parallel crystal composed of mosaic blocks of varying orientation and thickness are derived from dynamical theory in the symmetrical transmission case. The assumptions necessary to arrive at results coinciding with those obtained from Darwin's transfer equations are discussed in detail. The influence of a secondary reflexion is studied by solving the Darwin equations in the three-beam case. Numerical criteria to estimate the conditions under which the effect of secondary reflexion is negligible are presented.
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 54 (1998), S. 468-480 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: High-precision photon diffraction data in beryllium, diamond, silicon, copper and germanium are reanalysed with the aim of assessing the accuracy of experimental X-ray and γ-ray structure factors by comparing derived values for cohesive energy with the thermochemical ones. Special attention is devoted to the diffraction data analysis for a meaningful and accurate comparison between theory and experiment. A good overall agreement of local density approximation calculations is found when the electron density exhibits spherical symmetry around each atomic site. On the contrary, the analysis of experimental data in 3d transition metals, namely vanadium, chromium, iron, cobalt and nickel, points out failures of the theory in reproducing the asphericity of the electron distribution.
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 45 (1989), S. 679-686 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The transfer equations for multiple reflections of X- rays in a mosaic crystal have been derived from the classical theory of electromagnetism. Unless all the beams are contained in the same plane (coplanar case), it is shown that: (i) for a generic polarization of the incident beam the process of diffraction mixes the σ and π components of the electric field in such a way that the transfer equations become non-linear; (ii) in the case of unpolarized incident radiation the transfer equations can be linearized if the electric field of each beam is split into two perpendicular components so that in the n-beam case a system of 2n linear differential equations has to be solved. For neutrons (and X-rays in the coplanar case) reasonably simple solutions for the three- and four-beam cases have been derived. The solutions for the three-beam case are approximate but cover most of the situations which occur in practice, while the solution for the four-beam case is exact but applies to a special, although very common, case. Numerical calculations covering realistic situations have been performed in order to study quantitatively the effect of multiple reflections on both the peak and the integrated power of the primary diffracted beam.
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  • 9
    ISSN: 0920-3796
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Physics Letters A 95 (1983), S. 397-399 
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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