Anisotropic X-ray diffraction" dimensions of ellipsoid-shaped crystallites of cathode powders LiFePO4
Bobyl A. V. 1, Kasatkin I. A. 2, Konkov O. I.1, Faradzheva M. P. 1,3
1Ioffe Institute, St. Petersburg, Russia
2St. Petersburg State University, St. Petersburg, Russia
3Peter the Great Saint-Petersburg Polytechnic University, St. Petersburg, Russia
Email: faradzheva_mp@spbstu.ru
The relationship between the anisotropic dimensions of powder crystallites obtained by X-ray diffraction (Di XRD), and their linear dimensions (Li) has been investigated by numerical calculations. The following analytical expression is found for the orthorhombic lattice of ellipsoidal LiFePO4 crystallites with their lognormal size distribution: Di XRD=(3/4+0.38 W2i) Li, where Li and Wi - the mean value of the size and the variance of this distribution along the i-th crystallographic axis. The use of the obtained expression allows increasing the accuracy of complementary X-ray and electron-microscopic measurements for the purpose of experimental determination of parameters of projections of the function of (marginal) distributions on axes and correlation coefficients between them. Keywords: LiFePO4, marginal size distribution, lognormal distribution.
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