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Transformation of Phase Size Distribution Into Scattering Intensity



Barry J. Bauer


A practical method of calculating the small angle scattering intensity (SAS) and the density correlation function (CF) from the phase size distribution (PSD) is presented for a sample with a two-phase morphology. The CF can be calculated in terms of joint probability distribution functions of the PSD s of the two individual phases by using information from the chord length distribution (CLD). The PSD is approximated as a weighted sum of exponentials that is then transformed analytically into the CF and hence, the SAS for any combination of PSD s of the two phases. The inverse problem of calculating the PSD s from the SAS requires a thermodynamic model or simplifying approximation. An example of the reverse transformation is given for a nano-porous polymer thin film.
Journal of Polymer Science Part B-Polymer Physics
No. 17


chord length, high concentration, pore, scattering, two-phase


Bauer, B. (2004), Transformation of Phase Size Distribution Into Scattering Intensity, Journal of Polymer Science Part B-Polymer Physics, [online], (Accessed May 27, 2024)


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Created September 1, 2004, Updated February 19, 2017