The Scherrer Formula for X-Ray Particle Size Determination
- 15 November 1939
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 56 (10), 978-982
- https://doi.org/10.1103/physrev.56.978
Abstract
An exact derivation of the Scherrer equation is given for particles of spherical shape, values of the constant for half-value breadth and for integral breadth being obtained. Various approximation methods which have been used are compared with the exact calculation. The tangent plane approximation of v. Laue is shown to be quite satisfactory, but some doubt is cast on the use of approximation functions. It is suggested that the calculation for the ellipsoidal particle based on the tangent plane approximation will provide a satisfactory basis for future work.This publication has 4 references indexed in Scilit:
- The measurement of particle size by the X-ray methodProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1938
- The Form of the X-Ray Diffraction Bands for Regular Crystals of Colloidal SizePhysical Review B, 1930
- Berichtigung zur Arbeit von N. Seljakow, „Eine röntgenographische Methode zur Messung der absoluten Dimensionen einzelner Kristalle in Körpern von feinkristallinischem Bau“The European Physical Journal A, 1925
- Eine röntgenographische Methode zur Messung der absoluten Dimensionen einzelner Kristalle in Körpern von fein-kristallinischem BauZeitschrift für Physik, 1925