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Improved tables for the evaluation of sphere size distributions including the effect of section thickness
Author(s) -
Rose P. E.
Publication year - 1980
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1980.tb00256.x
Subject(s) - range (aeronautics) , matrix (chemical analysis) , distribution (mathematics) , section (typography) , plane (geometry) , population , particle (ecology) , cross section (physics) , field (mathematics) , mathematics , geometry , particle size , particle size distribution , materials science , optics , computational physics , mathematical analysis , physics , chemistry , computer science , composite material , pure mathematics , geology , operating system , oceanography , demography , quantum mechanics , sociology
SUMMARY The problem of determining the size distribution and population density of a population of spherical particles randomly distributed throughout a transparent matrix from data obtained by transmission microscopy on parallel plane‐faced sections of known field area and thickness may be readily solved by the use of matrix algebra. The solution presented in this paper may be used to construct conversion matrices whereby the particle size distribution and the numerical density can be calculated directly from the frequency distribution of the observed diameters; the only mathematical processes necessary being multiplication and addition. Specimen conversion matrices valid for a wide range of conditions are presented in the appended tables.