Comparison Between the Size Distributions Determined on Random Plane Sections and Projected Shadows of Non-Spherical Particles

Abstract

From measurements made on random sections of non-spherical objects, the shape functions have been statistically determined and the size distributions have been able to be stereologically estimated. Then the distributions obtained as histograms have been summarized by using the proposed compound log normal law. The results are quantitatively compared with the other corresponding ones which have been procured from the measurements made on the projected shadows of the identical objects. According to discussion on the effect of the shape functions on the size distributions, mean values of the size estimated on the usual assumption of spherical objects contain the relative errors amounting to 10-40% at the circularity of even less than 0.98.