INDIRECT TRANSFORMATION IN RECIPROCAL SPACE - DESMEARING OF SMALL-ANGLE SCATTERING DATA FROM PARTIALLY ORDERED SYSTEMS

Indirect Fourier transformation is a widely used technique for the des mearing of instrumental broadening effects, for data smoothing and for Fourier transformation of small-angle scattering data. This technique , however, can only be applied to scattering curves with a band-limite d Fourier transform, i.e. separated and noninteracting scattering cent ers. It can therefore not be used for scattering data from partially o rdered systems. In this paper, a modified technique for partially orde red systems working in reciprocal space is presented. A peak-recogniti on technique allows its application to scattering functions with narro w peaks, such as the scattering functions of layered systems like lame llar stacks or strongly interacting particles. Arbitrary geometry effe cts and wavelength effects can be corrected. Examples of simulations s how the merits and limits of this new method. One example shows its ap plicability to real data.