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  • Springer  (4)
  • 1975-1979  (4)
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  • 1
    ISSN: 1435-1536
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Summary Superstructural parameters of polymeric material composed of clusters of lamella-shaped crystals can be obtained by model-calculations of their small-angle x-ray scattering curves. In this paper it has been demonstrated, that in many cases the modulation of the scattering curve is determined not only by the inner structure of the cluster but also dependent on the average (electron) density of the cluster environment, the mean sample density. Discussing the SAXS of the systems HDPE, PP and iPS/PPO it has been shown, that the use of a simpler „,black-white” model, in which the crystalline density has been setϱ c = 1 and the amorphous densityϱ a = 0, leads to a „phony fit”. The incorporation of the mean sample density into the model yields a different set of parameters. The mean sample density can be neglected as soon as the number of lamellae per cluster exceeds the value of 10.
    Notes: Zusammenfassung Die Bestimmung von überstrukturdaten polymerer Lamellenclustersysteme kann über Modellrechnungen der Röntgenkleinwinkelstreukurven erfolgen. Es wird gezeigt, daß in vielen Fällen die Modulation der Streukurve nicht allein durch die innere Struktur der Cluster bestimmt ist, vielmehr muß die mittlere Elektronendichte der Umgebung der Cluster mitberücksichtigt werden. An den Systemen HDPE, PP und iPS/PPO wird gezeigt, daß die Verwendung eines einfacheren Modells, in dem die kristalline Dichte ϱc = 1 und die amorphe Dichte ϱa = 0 gesetzt wird („schwarzweiß”-Modell), für kleine Lamellenzahlen pro Cluster zu einer Scheinanpassung führt. Die BerÜcksichtigung der mittleren Probendichte fÜhrt zu abweichenden Anpassungsparametern bei der Berechnung der experimentellen Streukurve und damit zu anderen Über-rstrukturdaten. Der Einfluß der Umgebungsdichte wird vernachlässigbar klein, wenn die Zahl der lagekorrelierten Lamellen pro Cluster größer als 10 wird.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Colloid & polymer science 257 (1979), S. 606-621 
    ISSN: 1435-1536
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Summary The validity of the one-dimensional lamellas-cluster theory employed for the analysis of the small angle X-ray scattering of three dimensional structures in partially crystallized polymer systems has been investigated. The most significant approximation is the assumption, that the lateral dimensions of the lamellae (and of the clusters built up by them) are regarded to be infinit. It can be shown, that a one-dimensional analysis can be applied, when the ratio of the lateral extension, X, of the lamella, divided by their thickness, Z, is equal to or exceeds the value of 3. Since lamellae of such kind are found in most partially crystallized polymers, the application of the one-dimensional theory proves correct for the SAXS-analysis of these systems
    Notes: Zusammenfassung Es wird untersucht und diskutiert, unter welchen Voraussetzungen das eindimensionale Lamellen-Clustermodell auf dreidimensionale Strukturen angewendet werden kann. Die am weitesten gehende Näherung ist die Annahme, daß die kristallinen Lamellen und damit auch die Cluster lateral unendlich ausgedehnt sind. Es wird gezeigt, daß eine eindimensionale Analyse dann gerechtfertigt ist, wenn das Verhältnis der Lateralabmessung X zu Longitudinalabmessung Z den Wert 3 erreicht oder übersteigt. Da die meisten interessierenden Polymere diese Bedingung erfüllen, ist die Anwendung des eindimensionalen LamellenClustermodells für die Auswertung der Röntgenkleinwinkelstreukurven dieser Systeme gerechtfertigt
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 1979-06-01
    Print ISSN: 0372-820X
    Electronic ISSN: 1435-1536
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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  • 4
    Publication Date: 1978-02-01
    Print ISSN: 0372-820X
    Electronic ISSN: 1435-1536
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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