Rose P E
J Microsc. 1980 Feb;118(2):135-41. doi: 10.1111/j.1365-2818.1980.tb00256.x.
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 mulitplication and addition. Specimen conversion matrices valid for a wide range of conditions are presented in the appended tables.
从通过透射显微镜在已知视场面积和厚度的平行平面切片上获得的数据来确定随机分布在透明基质中的球形颗粒群体的尺寸分布和粒子数密度的问题，可以很容易地通过使用矩阵代数来解决。本文给出的解决方案可用于构建转换矩阵，借此可以直接根据观察到的直径的频率分布来计算颗粒尺寸分布和数值密度；唯一必要的数学运算就是乘法和加法。附录表格中给出了适用于广泛条件的样本转换矩阵。
