Maximum-entropy method as a routine tool for determination of particle size distributions by small-angle scattering

摘要

Several aspects of the application of the maximum-entropy method (MEM) to the determination of particle size distributions by small-angle scattering (SAS) are discussed. The 'historic' version of the MEM produces completely satisfying results. Limiting the data error from below (i.e. imposing a minimal relative error) is proposed as a solution of some convergence problems. The MEM is tested against the Fourier transform technique. The size distribution of Pb particles in an Al-Pb alloy is determined by the MEM and the Fourier transform technique. The size distributions obtained by transmission electron microscopy (TEM) and SAXS show partial agreement. [References: 33]