Determination of Crystallite Size Distributions from X-Ray Line Broadening
- 1 February 1961
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 32 (2) , 187-189
- https://doi.org/10.1063/1.1735975
Abstract
The broadening of an 00l powder diffraction line caused by a distribution of sizes of crystallites is discussed. A function of the intensity, P(h3) sin2(πh3), is derived. Its cosine transform gives the size distribution directly. The first term of a series expansion of this distribution function corresponds to the expression previously obtained by Warren and Averbach. In addition, this function gives less weight to the extremes of the diffraction line shape.This publication has 3 references indexed in Scilit:
- X-ray studies of deformed metalsProgress in Metal Physics, 1959
- The Effect of Cold-Work Distortion on X-Ray PatternsJournal of Applied Physics, 1950
- A Numerical Fourier-analysis Method for the Correction of Widths and Shapes of Lines on X-ray Powder PhotographsProceedings of the Physical Society, 1948