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

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.