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**Published:** Jan 1990

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**Source: **STP1083-EB

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.

**Keywords:**

particle sizing, method of moments, light scattering, integral parameters, optical properties

**Author Information:**

Mroczka, J *Doctor, Institute of Electrical Metrology, Technical University of Wrocław, Wrocław,*

**Committee/Subcommittee:** E29.03

**DOI:** 10.1520/STP25412S