Goerigk, Guenter: The Determination of Chemical Concentrations in Nano-scaled Phases by Use of Quantitative Anomalous Small-Angle X-ray Scattering. , 2012
kum. Habil-Schr. Univ. Paderborn
Open Accesn Version

In the last years Anomalous Small-Angle X-ray Scattering became a precise quantitative method resolving scattering contributions two or three orders of magnitude smaller compared to the overall small-angle scattering, which are related to the so-called pure-resonant scattering contribution. Additionally to the structural information precise quantitative information about the different chemical constituents of multi-component systems like the fraction of the chemical components localized in the nanostructure of the materials are obtained from these scattering contributions. The application of the Gauss elimination algorithm to the vector equation established by ASAXS measurements at three X-ray energies is demonstrated for three examples from chemistry and solid state physics. All examples deal with the quantitative analysis of the Resonant Invariant (RI-analysis). From the integrals of the pure-resonant scattering contribution the chemical concentrations in nano-scaled phases are determined. In one example the correlated analysis of the Resonant Invariant and the Non-resonant Invariant (NI-analysis) is employed. The structural and quantitative informations are correlated to the macroscopic properties respectively to the properties of the phase diagrams of the analyzed materials. 1.