1980
DOI: 10.1111/j.1365-2818.1980.tb00256.x
|View full text |Cite
|
Sign up to set email alerts
|

Improved tables for the evaluation of sphere size distributions including the effect of section thickness

Abstract: 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 fre… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
11
0

Year Published

1982
1982
2012
2012

Publication Types

Select...
7
1

Relationship

0
8

Authors

Journals

citations
Cited by 38 publications
(11 citation statements)
references
References 7 publications
0
11
0
Order By: Relevance
“…There was no significant difference between the observed and the true means of diameter average of casein micelles of the different camels' milks. Few mathematical procedures have been developed for correction of the apparent particle size of globular bodies such as that of the casein micelle (Goldsmith, 1967;Rose, 1980). Typical electron micrographs of camels' milks are shown in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…There was no significant difference between the observed and the true means of diameter average of casein micelles of the different camels' milks. Few mathematical procedures have been developed for correction of the apparent particle size of globular bodies such as that of the casein micelle (Goldsmith, 1967;Rose, 1980). Typical electron micrographs of camels' milks are shown in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…Different mathematical procedures and formulas for practical applications have been published. [16][17][18] The data gained from the two-dimensional determination of fracture diameters were used for different calculations. The mean particle size (by number) was calculated from the fracture diameters by two independent methods.…”
Section: Resultsmentioning
confidence: 99%
“…Second, the section cuts through different portions of the deposit, i.e., some small diameter measurements represent sections taken through the peripheral portions of larger-sized deposits [14]. The absolute density of deposits in each size class in 3D can be calculated from their size distribution in 2D using matrix algebra if it is assumed that the deposits are spherical and randomly distributed [23,48,56]. However, this method is not appropriate for Aβ deposits, because although many deposits may be approximately spherical, they are not randomly distributed but occur in distinct clusters [10,12].…”
Section: Discussionmentioning
confidence: 99%