Determination of the width of the domain boundaries in polymer two-phase systems by X-ray small-angle scattering

1982 ◽  
Vol 260 (11) ◽  
pp. 999-1010 ◽  
Author(s):  
U. Siemann ◽  
W. Ruland
Keyword(s):  
Small Angle ◽  
Small Angle Scattering ◽  
Two Phase ◽  
X Ray ◽  
Angle Scattering ◽  
Domain Boundaries ◽  
Phase Systems

Small-angle X-ray scattering of two-phase systems: significance of polydispersity

2010 ◽  
Vol 43 (5) ◽  
pp. 998-1004 ◽  
Author(s):  
Wilhelm Ruland
Keyword(s):  
Size Distribution ◽  
Small Angle ◽  
Two Phase ◽  
X Ray ◽  
X Ray Scattering ◽  
Phase Systems ◽  
Two Phases ◽  
The Relationship ◽  
Ray Scattering

Evaluation of the small-angle X-ray scattering of two-phase systems leads to the determination of the Porod lengthlpand the correlation lengthlc. In dilute systems, the parameter κl=lc/lp− 1 is a measure of the polydispersity of the chord lengthslwithin the dilute phase, which depends on the size distribution and the shape of the particles forming this phase. As an example, the change of κlwith the size distribution is calculated for spheres and spheroids. For dense two-phase systems, κldepends not only on the polydispersities of the chord lengthsl1andl2of the two phases but also on the spatial order in the system. This is demonstrated by examples related to microemulsions. The appendix contains a short discussion on the relationship between chord-length distributions and Bertrand's paradox.

scholarly journals Determination of G.P.(1) Zone Size in Al-Cu Alloys by the X-ray Small-Angle Scattering Method

1971 ◽  
Vol 35 (10) ◽  
pp. 1001-1007 ◽  
Author(s):  
Osamu Kawano ◽  
Tetsuya Hirouchi ◽  
Hiroyuki Yoshida ◽  
Yotaro Murakami
Keyword(s):  
Small Angle ◽  
Small Angle Scattering ◽  
Scattering Method ◽  
Zone Size ◽  
X Ray ◽  
Cu Alloys ◽  
Angle Scattering

Determination of the structure of tissue samples using X-ray small angle scattering

2000 ◽  
Vol 196 (12) ◽  
pp. 827-830 ◽  
Author(s):  
Martin Bradaczek ◽  
Hans Guski ◽  
Hans Bradaczek ◽  
Georgi G. Avtandilov
Keyword(s):  
Small Angle ◽  
Small Angle Scattering ◽  
Tissue Samples ◽  
X Ray ◽  
Angle Scattering

Multiphase approximation for small-angle scattering

2009 ◽  
Vol 43 (1) ◽  
pp. 8-11 ◽  
Author(s):  
Dragomir Tatchev
Keyword(s):  
Small Angle ◽  
Small Angle Scattering ◽  
Multiphase System ◽  
Contrast Variation ◽  
Two Phase ◽  
Angle Scattering ◽  
Multiphase Systems ◽  
Phase Systems ◽  
The Difference ◽  
Two Phases

The two-phase approximation in small-angle scattering is well known and is still the dominant approach to data analysis. The intensity scattered at small angles is proportional to the second power of the difference between the scattering densities of the two phases. Nevertheless, scattering contrast variation techniques are widely used, and they are obviously suitable for multiphase systems or systems with gradually varying scattering density, since if no parasitic scattering contributions are present the scattering contrast variation would only change a proportionality coefficient. It is shown here that the scattered intensity at small angles of a multiphase system can be represented as a sum of the scattering of two-phase systems and terms describing interference between all pairs of phases. Extracting two-phase scattering patterns from multiphase samples by contrast variation is possible. These two-phase patterns can be treated with the usual small-angle scattering formalism. The case of gradually varying scattering density is also discussed.

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