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.
Transformation of Phase Size Distribution Into Scattering Intensity, Journal of Polymer Science Part B-Polymer Physics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=852266
(Accessed December 11, 2023)