Structure analysis of multiphase systems by anomalous small-angle X-ray scattering

被引:19
作者
Tatchev, Dragomir [1 ,2 ]
机构
[1] Hahn Meitner Inst Berlin GmbH, D-14109 Berlin, Germany
[2] Bulgarian Acad Sci, Inst Phys Chem, BU-1113 Sofia, Bulgaria
关键词
anomalous small-angle X-ray scattering; multiphase systems; partial structure factors; scattering contrast variation;
D O I
10.1080/14786430802279760
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The theory of small-angle scattering is reviewed with special attention paid to the anomalous scattering and multiphase systems. A general equation is derived that describes the scattering of a multiphase system as a sum of scattering functions of each of the phases, as if it scattered alone in a two-phase system, and interphase interference scattering functions. These scattering functions depend only on the spatial distribution of the phase boundaries, but not on the scattering density. Contrast variation techniques are most rewarding when the scattering density of only one phase can be varied. For anomalous small-angle X-ray scattering (ASAXS), this means the most favourable is the case in which resonant atoms are contained in one phase only. The general equation involves n(p-1) unknown partial atomic number density differences, where p is the number of phases and n the number of the different atom types in the sample. These partial atomic number density differences can be found if a suitable structure model is applied to calculate the phase scattering functions. Then, the phase compositions and densities can be calculated by solving a system of linear equations incorporating the atom number conservation law. The partial structure factors formalism is also reviewed. Corresponding equations for a system of n types of atoms and p phases are derived. The number of independent partial structure factors is p(p-1)/2 and depends on the number of phases, but not on the number of the types of the atoms in the sample, as in the case of wide-angle scattering.
引用
收藏
页码:1751 / 1772
页数:22
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