Dislocations and paracrystallinity in polymers

It is shown, that paracrystallinity in polymers can be explained by assuming a statistical dislocation distribution inside the crystal lattice. This conclusion is based on X-ray scattering results (line width measurements).     

Über die Struktur der in zwei Punkten homogenen,distributiven Spernerschen Räume unter besonderer Berücksichtigung ihrer Fernräume

Ohne Zusammenfassung     

Investigation of the superstructure of native collagen by a combination of small angle X-ray scattering,electron microscopy and light diffraction

Summary It is shown that there exists a direct correlation between the light diffraction pattern of an electron-microscopical picture and the X-ray small angle scattering. By this means it can be proved for native collagen prepared by a special method that the density pattern of stained samples imaged in the electron microscopy is identical with the density pattern available from moist fibres. The reflex intensities of the small angle X-ray scattering are taken for calculating the density structure whereby the necessary phases are delivered by the electron microscopic examination combined with light diffraction.

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Zusammenfassung Zwischen der Lichtbeugung an elektronenmikroskopischen Bildern und der Röntgenkleinwinkelstreuung wird die direkte Korrespondenz aufgezeigt. Hierbei kann erwiesen werden, daß das elektronenmikroskopische Bild von speziell präpariertem, nativem Kollagen jene Dichtestruktur widerspiegelt, welche auch im feuchten Zustand vorliegt.Aus den Intensitäten der Röntgenbeugung wird die Elektronendichteverteilung errechnet. Die hierzu erforderlichen Phasen können über die Lichtbeugung aus dem elektronenmikroskopischen Bild entnommen werden.

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With 17 figures     

Zur Darstellung Miquelscher Möbiusräume

In this paper we prove the following theorem (shown by J.TITS [7] in the case of finite dimension): LetO be a set of at least 2 points of a projective space of dimension 2 and suppose that the intersections ofO and the planes of are either empty or one point sets or Pascalian ovals. ThenO is an ellipsoid (nondegenerate quadric of index 1). As a corollary we obtain that every Miquelian Möbius-space is the geometry of the plane sections of an ellipsoid.