Acta Stereologica



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Kurt Wiencek & Hans Hougardy

The second-order analysis of particle sizes by a test quadrat method

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For a set of convex particles on the plane the particle widths (sizes) h1,h2 measured in two perpendicular directions form a two-dimensional random variable (h1,h2). The corresponding second order moment E(h1h2) of (h1,h2) characterizes the particle size and shape. The moment E(h1h2) is related to the expected value ENK(A) of the number of counted particles which are totally within a test quadrat of area A. An experimental example of application for a Fe3C—dispersion in steel is given.

Keywords : convex particle, shape, size correlation, testing by quadrat

To cite this article

Kurt Wiencek & Hans Hougardy, «The second-order analysis of particle sizes by a test quadrat method», Acta Stereologica [En ligne], Volume 10 (1991), Number 1 - Stermat '90 (part I) - June 1991, 55-61 URL :

About: Kurt Wiencek

Academy of Mining and Metallurgy, Institute of Metallurgy, al. Mickiewicza 30, 30-059 Cracow, Poland

About: Hans Hougardy

Max-Planck-Institut für Eisenforschung, Max-Plack-Str. 1, D-4000 Düsseldorf, FRG