X-Ray Diffraction in Random Layer Lattices

B. E. Warren
Phys. Rev. 59, 693 – Published 1 May 1941
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Abstract

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.

  • Received 7 March 1941

DOI:https://doi.org/10.1103/PhysRev.59.693

©1941 American Physical Society

Authors & Affiliations

B. E. Warren

  • George Eastman Laboratory of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts

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Issue

Vol. 59, Iss. 9 — May 1941

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