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A connection between algebraic relations of angle scattering and integral parameters of particle-size distribution has been shown on the basis of the discussed measurement methods in which scattering at a small angle is fundamental. As shown, these relations allow for the determination of quantities characterizing the particle-size distribution without solving the ill-posed problems. Ordinary and center moments of the particle-size distribution function, f(a), are these quantities. They have a simple physical interpretation (for example, the number of particles, the sum of their diameters, the sum of cross sections, and of their volumes, in a volume unit). The center moments determine, for example, the distribution of an average particle diameter, the dispersion of function f(a), and so forth. A mathematical model of the way of moment function f(a) measurement and its practical realization are shown.
particle sizing, method of moments, light scattering, integral parameters, optical properties
Doctor, Institute of Electrical Metrology, Technical University of Wrocław, Wrocław,