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- W1924882938 abstract "The complementarity of smoothing procedures for a smoothed groove-tracking method (SGTM) is essential in realistic experimental cases. A strategy of using successively smoothing procedures based on cubic-spline interpolation, averaging processes and Fourier transformation at various stages in SGTM is proposed. The mathematical basis of SGTM and the strategy of invoking various smoothing procedures are discussed. Application of this strategy is demonstrated on experimental data from a liquid crystal and &-amine adducts at the interface between air and water. PACS. 61.19.-i - X-ray diffraction and scattering. Techniques involving X-ray specular reflectivity and neutron scattering are widely used to probe surface structure along the surface normal in diverse materials [l]. Analysis of such reflectivity data involves methods both either dependent or independent of a model [2,3]. Because reflectivity data lack phase information and because the g2 range over which reflectivity is measured is limited, all these methods for analysis of X-ray reflectivity inherently fail to yield unique profiles of the electronic density [4]. In model dependent methods, a model profile of electronic density of a particular sample must be established in advance. Experimental data of X-ray reflectivity are used to adjust the value of each parameter of the model. For some samples prior information of the profile within the surface region is lacking; to construct a profile then becomes difficult and use of model-depende nt methods to analyze X-ray reflectivity data is precluded. Schemes independent of a model for analysis of reflectivity data are thus crucial because with the latter methods one can retrieve profiles of electronic density directly from reflectivity data. Furthermore, such methods help reveal physical phenomena of surface structures that might be overlooked in related theories and speculations [5]. Zhou and Chen [6,7] demonstrated that, when good data exist for the region of small qL, the relation between the physical profile and reflectivity contains phase information that eliminates some ambiguities in the extracted profiles. They therefore developed a modelindependent groove-tracking method (GTM) [S] th a employs recursive equations derived t by Parratt [8] t o construct a step-like profile to outline the smooth profiles of the samples. In the GTM, the density profile is first approximated by a few steps of equal width and" @default.
- W1924882938 created "2016-06-24" @default.
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- W1924882938 date "1999-12-01" @default.
- W1924882938 modified "2023-09-24" @default.
- W1924882938 title "Complementarity of Smoothing Procedures for a Smoothed Groove-Tracking Method" @default.
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