### STP1083: The Method of Moments in Particle Sizing

Mroczka, J

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

Pages: 7 Published: Jan 1990

**Abstract**

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

**Paper ID:** STP25412S

**Committee/Subcommittee:** E29.03

**DOI:** 10.1520/STP25412S

ASTM International is a member of CrossRef.