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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 113 (1991), S. 9148-9154 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 34 (1978), S. 909-921 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: X-ray data on silicon, tetracyanoethylene, p-nitropyridine N-oxide and ammonium thiocyanate are refined with a generalized aspherical-atom formalism as introduced by Stewart, but modified to have a spherical valence more similar to the unperturbed HF valence shell. Several types of radial dependences of the multipole functions are tested and criteria are developed for judging the adequacy of the aspherical-atom refinement. The aspherical-atom model leads to a significant decrease in the least-squares error function, a reduction of features in the residual map, and an improvement in thermal parameters when comparison is made with the neutron results or when the rigid-bond postulate proposed by Hirshfeld is applied. Positional parameters are often improved except in the case of terminal atoms for which discrepancies, attributed to correlation between dipole-population and positional parameters, are sometimes observed. Deformation maps based on the aspherical-atom least-squares parameters contain less noise than X -- N maps and benefit from inclusion of calculated values of weak structure amplitudes in the summation. In the cases studied, deformation maps including terms beyond the experimental resolution do not yield additional information.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 37 (1981), S. 711-722 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: 19 absolute atomic scattering factors were measured for imperfect copper single crystals with an accuracy of the order of ±0.05 electrons for reflections with sin θ/λ ≤ 0.7 Å-1. This data set is of significantly higher accuracy than those measured earlier with X-rays for imperfect single crystals. The experimental form factors for low momentum transfer are significantly smaller than the free-atom values. The corresponding deformation density shows a small pile up of charge between nearest-neighbour atoms. At the present level of experimental accuracy, none of the available band-structure calculations provides a satisfactory description of the measured form factors over the whole range of momentum transfer where effects due to bonding can be expected.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 43 (1987), S. 763-769 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A large set of structure factors for beryllium has been measured with a 0.12 Å γ-ray diffractometer. The present data are in good agreement with other recent X-ray and γ-ray diffraction measurements. Extinction was significant though not very strong. Deformation density maps confirm that the bonding goes through the tetrahedral holes of the hexagonal close-packed structure. Comparisons with band-structure calculations indicate that the local-density approximation to the density functional theory is valid for beryllium. The quality of the data, combined with the earlier experimental results, is sufficient to demonstrate that the structure factors are sensitive to the valence electron hybridization even at high momentum transfer [(sin θ)/ λ 〉 0.75 Å-1]. Core electron deformation is a much smaller effect.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 44 (1988), S. 1097-1097 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: In a recent publication Nelmes & Tun [Acta Cryst. (1987). A43, 635-638] give the impression that the atomic probability density function can be determined unambiguously even for non-centrosymmetric crystal structures when using the Gram-Charlier expansion technique. This is only true under a tacit assumption of rapid convergence of the Gram-Charlier series. A similar problem exists in the analysis of electron deformation densities for non-centrosymmetric structures.
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  • 6
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 52 (1996), S. 596-604 
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The valence charge and difference densities of GaAs have been calculated without previous refinements of a charge density model using six different data sets of X-ray structure amplitudes published until now. Since the data sets have been measured by means of different experimental methods and due to the different data treatment, the individual structure factors differ on the absolute scale. Furthermore, different temperature factors have been published. In order to bring the data to a common level, we used the same two harmonic temperature factors and the same algorithm for correcting the different sets of experimental data for anomalous dispersion. Because of the non-centrosymmetry of the zinc blende structure, these procedures are not strictly model-independent. A simple bond charge model was used to obtain phases of the structure amplitudes and to perform the above-mentioned corrections. In general, the details of `experimental' charge densities depend sensitively on the balanced ratio among the structure factor moduli used. A smooth density map is only obtained if all F have the same high level of accuracy [δ(F)/F 〈 1%] and if `outliers' are omitted. Only four of the six data sets describe the covalent bond and the partial charge transfer between neighboring atoms, in qualitative agreement with our expectation based on the results of pseudo-potential calculations. However, some quantitative discrepancies remain, particularly in the height of the charge density maximum between nearest neighbours and in some details outside the bonding region.
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  • 7
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Applied crystallography online 32 (1999), S. 1-10 
    ISSN: 1600-5767
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Geosciences , Physics
    Notes: Single crystals of KTiOPO4 (KTP) and NaTiOPO4 (NaTP) show pronounced pyroelectric behaviour. In order to determine the origin of this property on an atomic scale, X-ray diffraction measurements have been carried out at several temperatures between 100 and 600 K. Modelling of the electron density and the evolution of the structure as a function of temperature has enabled the determination of values for the spontaneous polarization of the compounds and the pyroelectric coefficient of KTP, principally due to the alkaline-ion displacements with a value of 2.0 nC cm−2 K−1. Structure modifications, compared with NaTiOPO4, and the calculation of the electrostatic potential explain the anisotropic behaviour of ionic conductivity of KTP single crystals.
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  • 8
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 54 (1998), S. 774-781 
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The static deformation electron density, Laplacian of the electron density and critical points in the electron density were analyzed in topaz Al2[SiO4]F2, using high-precision X-ray diffraction data. The electron deformation density, positive values of the Laplacian at (3,−1) bond critical points and the net atomic charges indicate a closed-shell-type interaction in the polyhedra. Anion valence-shell charge depletions are revealed. Maxima in the Laplacian of the electron density are displaced towards the close-packed plane owing to the mutual repulsion of the anion valence shells. The relationship between the topological features of the electron density and the close-packing concept is discussed. Shifts of the critical points from the internuclear vectors reflect the strain in the structure.
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  • 9
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 40 (1984), S. 38-44 
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Copenhagen : International Union of Crystallography (IUCr)
    Acta crystallographica 47 (1991), S. 660-672 
    ISSN: 1600-5740
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
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