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A Single Expression of Common Particle Size Distribution
Author(s) -
Ogawa Kohei
Publication year - 1990
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/ppsc.19900070124
Subject(s) - distribution (mathematics) , distribution function , expression (computer science) , half normal distribution , function (biology) , particle size distribution , statistical physics , particle (ecology) , mathematics , particle size , biological system , physics , statistics , mathematical analysis , computer science , chemistry , asymptotic distribution , thermodynamics , biology , ecology , estimator , evolutionary biology , programming language
A new particle size distribution function based on a simple model is presented. Data generated by the normal, log‐normal and Rosin‐Rammler distribution functions were fitted with this new distribution function and the fitted curves were, for all practical purposes, indistinguishable from all three distributions. The new distribution function can replace all the three functions and thus a means of presenting and comparing the different size distribution patterns in terms of a single mathematical expression is obtained. Additionally, the new distribution function provides the possibility of developing the discussion on the physical meaning of the particle size distribution.