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  • 1
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Stress relaxation at room temperature in polycrystalline aluminium layers, deposited onto silicon wafers, was explained by processes in which changes in the dislocation structure play a dominant role. Applying x-ray diffraction, information was obtained simultaneously about the macrostress (from line position) and the dislocation structure (from line broadening) without destroying the specimen and without disturbing the stress relaxation process. A method has been developed to determine the dislocation configuration from the direction-dependent line broadening. The method is based on an analytical expression for the integral breadth due to microstrain from sets of straight and parallel edge and/or screw dislocations on the specific slip systems. Analysis of the x-ray-diffraction measurements shows unequal densities and unequal changes of densities of dislocations with the Burgers vector parallel and with the Burgers vector inclined with respect to the surface of the layer. The stress relaxation at room temperature is primarily achieved by glide of dislocations with inclined Burgers vectors. The time behavior of the macrostress appears to be correlated with the change of the dislocation density. A model was developed to describe the dependency of the decrease of macrostress on the decrease of the dislocation density. © 1995 American Institute of Physics.
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 76 (1994), S. 1871-1883 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Laser ablation deposition was used to grow polycrystalline Cu-Ni and Ag-Ni thin films on amorphous substrates at room temperature. X-ray diffraction was employed to determine the phases present and the residual macrostress and to analyze the structural imperfection in terms of crystallite size and microstrain. For confirmation and complementary microstructural data transmission electron microscopy was applied. Analysis of the gross composition was achieved by electron probe microanalysis and x-ray fluorescence. The films contained substantially less Cu and Ag than the targets, which was caused by preferential scattering of ablated Cu and Ag species upon incidence at the growing films. The Cu-Ni films were entirely composed of a CuxNi1−x solid solution. The Ag-Ni films were composed of a AgxNi1−x solid solution and of pure Ag and pure Ni. The nonequilibrium AgxNi1−x solid solution could contain up to 44 at. % Ag. The residual macrostress in the Cu-Ni films was compressive, whereas it was tensile in the Ag-Ni films. The occurrence of these stresses could be interpreted as due to the combined effects of atomic peening and cooling after deposition and, in the case of the Ag-Ni films, of stress relaxation by partial decomposition of the AgxNi1−x solid solution during film growth. The microstrains in the AgxNi1−x solid solutions were higher than in similarly prepared pure elemental Ag and Ni films. Compositional inhomogeneity of the AgxNi1−x solid solution crystallites contributed in particular to this effect. The strain-free lattice parameters of the solid solutions were found to be in fair agreement with those predicted by Vegard's law.
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  • 3
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Amorphous Mo/Si multilayers were prepared by alternately sputtering Mo and Si onto silicon single-crystal substrates covered with SiO2 and onto substrates covered with polycrystalline Si. The multilayer thickness was about 200 nm and the composition modulation period was about 0.8 nm. The Mo/Si atomic ratio averaged over the multilayer was about 0.6. These specimens were isochronally annealed for 1 h at temperatures up to 1000 °C. In order to analyze annealing-induced variations in composition, microstructure, resistivity, and internal stresses, the specimens were investigated by x-ray diffractometry, Rutherford backscattering spectroscopy, and resistometry. Although the multilayer remained amorphous during annealing at temperatures below 350 °C, interdiffusion of Mo and Si occurred. Above 350 °C the layered structure disappeared and crystalline phases, viz., hexagonal MoSi2, Mo5Si3, and tetragonal MoSi2, appeared successively for increasing temperatures. According to the (equilibrium) phase diagram both hexagonal MoSi2 and crystalline Mo5Si3 were expected to occur simultaneously. Itappeared, however, that hexagonal MoSi2 formed first, probably because of difficult nucleation of crystalline Mo5Si3. The hexagonal MoSi2 nucleated homogeneously, whereas Mo5Si3 nucleated heterogeneously. In MoSix layers on SiO2 the Mo5Si3 grew at the outer surface and at the MoSix/substrate interface. In MoSix layers on polycrystalline Si the Mo5Si3 reacted with Si to form hexagonal MoSi2 at temperatures above 700 °C. Finally, the hexagonal MoSi2 phase transformed into tetragonal MoSi2. The resistivity of the MoSix layer decreased distinctly as soon as hexagonal MoSi2 was formed and an even larger decrease occurred when hexagonal MoSi2 transformed into tetragonal MoSi2. The latter resistivity decrease was accompanied by a considerable improvement of overall crystalline perfection of the MoSix layer. The lowest resistivity (58 μΩ cm) was obtained after annealing at 1000 °C. The internal stress in the MoSix layer can be explained by the difference in thermal contraction between the MoSix layer and the Si substrate. After annealing at 1000 °C the internal stress equaled about 2.0 GPa.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 92 (2002), S. 1649-1656 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The growth kinetics and mechanisms of thin aluminum-oxide films formed by the dry, thermal oxidation of a bare Al(431) substrate at a partial oxygen pressure of 1.33×10−4 Pa in the temperature range of 373–773 K were studied using x-ray photoelectron spectroscopy. The initial oxidation of the bare Al substrate proceeds by an island-by-layer growth mechanism, involving the lateral diffusion over the bare Al substrate surface of mobile oxygen species. At low temperatures (T≤573 K), an amorphous oxide film develops that attains a limiting (uniform) thickness. At high temperatures (T〉573 K), growth is not impeded at a limiting thickness. Kinetic analysis established the occurrences of two different oxide-film growth regimes: an initial regime of very fast oxide-film growth and a second, much slower oxidation stage that is observed only at T〉573 K. These results could be discussed in terms of electric-field controlled, interstitial, outward transport of Al cations through a close packing of O anions in the amorphous films, and inward diffusion of O along grain boundaries in the crystalline films, respectively. For the electric-field controlled Al cation motion, a value of 2.6 eV was determined for the rate-limiting energy barrier, which is located at the metal/oxide interface. This corresponds with a Mott potential of −1.6 V. © 2002 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 86 (1999), S. 1904-1914 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Well-known grain interaction models for the description of macroscopic elastic behavior of polycrystalline specimens, as due to Voigt, Reuss, Neerfeld–Hill, and Eshelby–Kröner, may be successfully applied to bulk specimens, but are shown to be less suited for thin films. An elaboration of a proposal due to Vook and Witt for grain interaction is given. It is assumed that the strain parallel to the specimen surface is equal in all crystallites and that the stress perpendicular to the specimen surface is zero in all crystallites. It is shown that these assumptions give rise to elastic anisotropy of the specimen on the macroscopic scale. It is also shown that in this case the dependence of the measured lattice strain (in a diffraction experiment) on the squared sine of the specimen tilt angle ψ (cf. the sin2 ψ method), is nonlinear, contrary to what is predicted by the bulk grain interaction models. This is the first time that nonlinear sin2 ψ plots have been calculated using an elastic grain interaction model, in the absence of crystallographic texture. Experimental verification has been achieved by x-ray diffraction strain measurements performed on a vapor deposited nickel film. The experimental results are in good accordance with the Vook–Witt [J. Appl. Phys. 7, 2169 (1965)] grain interaction model. This is the first experimental evidence of direction dependent grain interaction in thin films. © 1999 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 71 (1992), S. 5303-5309 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Two types of signals are considered: infinite-range signals and periodic signals. Tails of infinite-range signals can be described with an asymptotic power series (having terms of the type x−n with n≥2). For tails of periodic signals an asymptotic series [having terms of the type sin−n(πx/p) with p=period and n≥2] is derived from the asymptotic power series for the infinite-range signals using Poisson summation. It is shown that for practical purposes the tails of a signal can be described quite satisfactorily with only a few terms of the series. On this basis nonmeasurable parts of tails of both symmetric and asymmetric signals can be estimated reliably and thus the effects of the unavoidable signal truncation can be counteracted.
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  • 7
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 1059-1066 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: New methods of diffraction stress analysis of polycrystalline materials, consisting of cubic elastically anisotropic crystallites, are proposed and compared with existing methods. Whereas for the existing methods knowledge of the diffraction elastic constants is presupposed, three new methods are presented that require only knowledge of the (macroscopic) mechanical elastic constants. The stress values obtained with these new methods on the basis of the mechanical elastic constants are more reliable than those obtained with the methods on the basis of the diffraction elastic constants. New and existing methods are illustrated by means of measurements of X-ray diffraction from a magnetron-sputtered TiN layer.
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  • 8
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 16 (1983), S. 309-316 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: It is shown that the current status of the least-squares profile-refinement method, for the determination of crystal structures from X-ray and neutron powder diagrams, allows the simultaneous determination of crystallite-size and lattice-strain parameters. As profile-shape functions the Voigt, pseudo-Voigt and Pearson VII functions are considered. Formulae are obtained enabling structure refinement and size-strain analysis in the same computer run.
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  • 9
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 33 (2000), S. 108-111 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: A method is proposed that removes the substrate peaks from a diffraction pattern recorded from a substrate covered with a thin layer, using a separate measurement of the uncovered substrate. The obtained diffractogram without substrate peaks can then be used for the characterization of the microstructure of the thin layer. As an example, the method is shown to yield good results for a TiN layer deposited on a tool-steel substrate.
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  • 10
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 8 (1975), S. 612-614 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: The errors in the Fourier coefficients of the α1 component obtained by α2 elimination are investigated analytically. The effects of counting statistics, of an incorrect intensity ratio of the α1 and α2 components and of an incorrect doublet separation are calculated. The mean-square error in the Fourier coefficient caused by counting statistics is a periodic function of the harmonic number, while errors in the intensity ratio and in the doublet separation primarily affect the first Fourier coefficients. The results are confirmed by computer simulations and by computations with experimental line profiles. The α2 elimination methods assume a perfect shape identity of the α1 and α2 components, but this assumption is not completely justified. Deviations might be interpreted as local errors in the doublet separation and the intensity ratio.
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