SYMPOSIA PAPER Published: 01 January 1990

The Method of Moments in Particle Sizing


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.

Author Information

Mroczka, J
Institute of Electrical Metrology, Technical University of Wrocław, Wrocław, Poland
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Developed by Committee: E29
Pages: 60–66
DOI: 10.1520/STP25412S
ISBN-EB: 978-0-8031-5141-3
ISBN-13: 978-0-8031-1459-3