Open AccessTHE STUDY OF THE DEPENDENCE OF SIZES OF MEASURED MICROSCOPIC OBJECTS AT THE POSITION OF THE SLICE PLANE
Author(s) -
Александр Евгеньевич Луньков,
Юрий Александрович Гладилин,
Камила Евгеньевна Ибрагимова
Publication year - 2019
Publication title -
morfologičeskie vedomosti
Language(s) - English
Resource type - Journals
eISSN - 2686-8741
pISSN - 1812-3171
DOI - 10.20340/mv-mn.19(27).04.55-60
Subject(s) - spheres , plane (geometry) , ellipsoid , distribution (mathematics) , position (finance) , distribution function , function (biology) , standard deviation , physics , geometry , hard spheres , mathematical analysis , mathematics , statistics , quantum mechanics , finance , astronomy , evolutionary biology , economics , biology
For microscopic objects in the form of spheres of different radii have been calculated the functions of distribution of the cross sections radii, taking into account the dependence on the position of the plane of the slice. Taking into account this dependence, the distribution functions of the cross sections radii of the spheres whose radii were given by the normal distribution law with the variation of its parameters were calculated. It is found that the difference between the given distribution function of the radii of spheres and the distribution function of their sections in the plane of the slice depends on the ratio of the standard deviation to the mean value of the radii. Depending on this relation, two simple algorithms are proposed to reconstruct the distribution function of the radii of objects by the distribution function of the radii of their sections. It is shown that these algorithms can be used to correct the experimental curve of the size distribution of micro-objects in the form of ellipsoid.