1998
DOI: 10.1209/epl/i1998-00282-0
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Determination of micrometer length scales with an X-ray reflection ultra small-angle scattering set-up

Abstract: We show that the accessible range of length scales of structures deduced with ultra small-angle scattering (USAX) experiments can be enlarged by more than one order of magnitude in reflection geometry set-ups. From the analysis of the diffuse scattering without further model assumptions the length scale of the structures is determinable. The method is illustrated by an example of thin blend films of deuterated polystyrene (dPS) and polyparamethylstyrene (PpMS) where mm-structures are recovered. The results are… Show more

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Cited by 41 publications
(46 citation statements)
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“…The two-dimensional intensity distribution separated in several vertical and horizontal slices was detected at a fixed angle of incidence α i . On the one hand the vertical slices [33] correspond to detector scans, which are mainly dependent on q z and include depth sensitive information [34] On the other hand the horizontal slices corresponding to so-called out-of-plane scans include in-plane information of the most prominent lateral size from q y dependence. The horizontal slices were taken at the angle α= α i + α c , where α c is the critical angle of total reflection for the polyampholyte At this position the horizontal slices include the contribution of lateral sizes in the adsorbed polyampholyte layer.…”
Section: Scanning Force Microscopymentioning
confidence: 99%
“…The two-dimensional intensity distribution separated in several vertical and horizontal slices was detected at a fixed angle of incidence α i . On the one hand the vertical slices [33] correspond to detector scans, which are mainly dependent on q z and include depth sensitive information [34] On the other hand the horizontal slices corresponding to so-called out-of-plane scans include in-plane information of the most prominent lateral size from q y dependence. The horizontal slices were taken at the angle α= α i + α c , where α c is the critical angle of total reflection for the polyampholyte At this position the horizontal slices include the contribution of lateral sizes in the adsorbed polyampholyte layer.…”
Section: Scanning Force Microscopymentioning
confidence: 99%
“…However, with decreasing scattering volume like in the thin-film geometry the transmission geometry is no longer applicable. Recently, the technique of grazing incidence small-angle X-ray scattering (GISAXS) was successfully applied to soft condensed matter samples in the thin-film geometry [11,12,13,14,15]. The transmission geometry is replaced by a reflection one.…”
Section: Introductionmentioning
confidence: 99%
“…This yields a surface sensitivity, which enables the investigation of surfaces and thin films with thicknesses down to the sub-monomolecular range, thus becoming sensitive to nanostructures. Following the same principles as in the transmission geometry, larger length scales are addressable by an increase in the sample detector distance [13].…”
Section: Introductionmentioning
confidence: 99%
“…Our aim is to probe lateral length scales ranging from a few nanometres up to hundreds of nanometres [1,2] of colloidal systems with a defined mean particle dimension and typical polydispersities with standard deviations σ = 0−0.6, which is often sufficient to understand material film properties [3]. Polydisperse particles can be a e-mail: gutmann@mpip-mainz.mpg.de located as islands at the film/air interface or buried within a thin film matrix.…”
Section: Introductionmentioning
confidence: 99%