Generalized indirect Fourier transformation

All measured SAXS data were analyzed by the generalized indirect Fourier transformation (GIFT) technique with the Boltzmann simplex simulated annealing (BSSA) algorithm [34, 35]. The GIFT calculation is based on the analytical or numerical solution of the Ornstein-Zernike (OZ) equation that describes the interplay between the total (h(r)) and direct (c(r)) correlation functions ... 

A typical system composed of EAN/l-hexadecyl-3-methyllmidazolium chloride [Cj mim][Cl]/dodecane at ambient temperature with high thermal stability (stable between 30 and 150°C) was reported by Zech et al. [100]. Inherent properties were characterized by SANS, DLS, generalized indirect Fourier transformation, and Teubner and Strey model. A phase behavioral study with respect to temperature and IL mass fraction of a system comprising water/TX-100/[bmim][PFJ was reported by Anjum et al. [101]. SANS and polarized microscopic techniques revealed the existence of discontinnons-type microemulsion droplets in the system. 

Fritz, G. and Glatter, O. (2006). Structure and interaction in dense coUoidal systems Evaluation of scattering data by the generalized indirect Fourier transformation method. J. Phys-Condens. Mat., 18, S2403-S2419. 

Weyerich B, Brunner-Popela J, Clatter O (1999) SmaU-angle scattering of interacting particles. 11. Generalized indirect Fourier transformation under consideration of the effective structure factor for polydisperse systems. J Appl CrystaUogr 32 197-209... 

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