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标题:X-Ray Diffraction in Random Layer Lattices
时间:2019-12-03 09:11:21
DOI:10.1103/physrev.59.693
作者:B. E. Warren
关键词:Haversian System;Humans;Hydroxyapatites;Crystallization;X-Ray Diffraction
出版源: 《Physical Review》 ,1941 ,59 (9) :693-698
摘要:Random layer lattice structures are considered which consist of layers arranged parallel and equidistant, but random in translation parallel to the layer, and rotation about the normal. We call a and b the axes in the layer, and c the axis normal to the layer. In this notation there will be crystalline reflections of type (00l), two-dimensional lattice reflections of type (hk), and no general reflections (hkl). Equations are developed for the intensity distribution in a two-dimensional powder reflection, and for the integrated intensity. Equations are also de-developed for the particle size in terms of the peak breadth, and for the displacement of the peak. The powder pattern of a heat treated carbon black is presented as an illustration of two-dimensional lattice reflections.
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