1987
DOI: 10.1107/s0108767387099100
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Röntgenkleinwinkelbrechung an Metalldrähten, Glasfäden und hartelastischem Polyproplen

Abstract: Very thin equatorial small-angle scattering of Cu Ka radiation is observed from metallic wires, glass fibres and hard elastic polypropylene which can be explained quantitatively as a refraction phenomenon if the excess refractive indices n = 1 -e of the samples are smaller than unity. For Cu Ka radiation and SiO2 glass e has a value of 7.2x 10 -6. The intensity Is of reflection within a total reflection angle 8 = 3.8 × 10 -3 = 13' is negligibly small compared with the intensity of refraction lB. In addition to… Show more

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Cited by 57 publications
(37 citation statements)
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“…X-ray refraction is an ultra-small-angle scattering (USAXS) phenomenon. [1,2] Refraction contrast is also applied for planar refraction topography, a scanning technique for improved non-destructive characterization of high performance composites, ceramics and other low density materials and components. [3] X-ray refraction occurs whenever X-rays interact with interfaces (i.e., cracks, pores, particles and phase boundaries) especially at low angles of incidence.…”
Section: Introductionmentioning
confidence: 99%
“…X-ray refraction is an ultra-small-angle scattering (USAXS) phenomenon. [1,2] Refraction contrast is also applied for planar refraction topography, a scanning technique for improved non-destructive characterization of high performance composites, ceramics and other low density materials and components. [3] X-ray refraction occurs whenever X-rays interact with interfaces (i.e., cracks, pores, particles and phase boundaries) especially at low angles of incidence.…”
Section: Introductionmentioning
confidence: 99%
“…Particle dimensions smaller than 50 nm are determined by 'Guinier' and 'Porod' analysis (diffraction) [3], larger ones by refractometry [4,5]. Similar to WAXS of textured materials, SAXS of fibers and wires reveals their orientation, as they refract Xrays like cylindrical lenses deflect light.…”
Section: Principles Of X-ray Topographymentioning
confidence: 99%
“…The resulting smeared angular intensity distribution is then simply described by a continuous decay according to the laws of refraction by transparent media, e.g. applying Snell's law [2]. This purely geometrical refraction approach is appropriate for smallangle X-ray (and neutron) scattering effects by micrometer sized structures and applied in the following.…”
Section: Physical Backgroundmentioning
confidence: 99%
“…Based on Snell's law the angular intensity distribution of cylinders has been modelled and fitted to measurements on a number of different fibres, as illustrated by Figure 1 right. The refracted intensity I* R of a cylinder (without absorption effects) can be expressed by [2]:…”
Section: Refraction Effectmentioning
confidence: 99%
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