The Scherrer Formula for X-Ray Particle Size Determination

A. L. Patterson
Phys. Rev. 56, 978 – Published 15 November 1939
PDFExport Citation

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.

  • Received 24 July 1939

DOI:https://doi.org/10.1103/PhysRev.56.978

©1939 American Physical Society

Authors & Affiliations

A. L. Patterson

  • Department of Physics, Bryn Mawr College, Bryn Mawr, Pennsylvania

References (Subscription Required)

Click to Expand
Issue

Vol. 56, Iss. 10 — November 1939

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Journals Archive

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×