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A theory of atom resolving X-ray fluorescence holography is presented. It uses the single-scattering approach to derive from Maxwell''s equations a solution for imaging electron charge density distribution from the observed X-ray holography data. Experimental holograms from a Fe single crystal are used to demonstrate atom position mapping by the new transform versus Barton''s reconstruction algorithm. [Copyright &y& Elsevier]

Abstract: We review an atomic resolution imaging method based on the analysis of the fine structure in X-ray absorption anisotropy, which results from incident beam diffraction. For a polychromatic X-ray beam, due to the suppression of higher order diffraction fringes, X-ray absorption anisotropy patterns can be interpreted as distorted real-space projections of the atomic structure around absorbing atoms. A qualitative method for analysis of X-ray absorption anisotropy patterns is presented, based on modeling of X-ray patterns with ray-traced images calculated for clusters around absorbing atoms. [Copyright &y& Elsevier]