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The Scherrer Formula for X-Ray Particle Size Determination

The Scherrer Formula for X-Ray Particle Size Determination 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

The Scherrer Formula for X-Ray Particle Size Determination

Physical Review , Volume 56 (10) – Nov 15, 1939
5 pages

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Publisher
American Physical Society (APS)
Copyright
© American Physical Society
DOI
10.1103/PhysRev.56.978
Publisher site
See Article on Publisher Site

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.

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Nov 15, 1939

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