Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
November 15, 1939Physical Review

The Scherrer Formula for X-Ray Particle Size Determination

View Full Paper
Ask AI
Bookmark
Share

Authors

APA. L. PattersonGeorge Mason University

Discussion

Loading...

Member takes

Implication

Theoretical derivation resolves exact Scherrer equation constants for spherical particles, indicating that tangent plane approximations reliably determine crystallite size.

Key Points

  • To derive an exact formulation of the Scherrer equation for spherical particles and assess the validity of existing approximation methods.
  • Derived exact mathematical values for the Scherrer constant using both half-value breadth and integral breadth methods.
  • Evaluated the accuracy of common approximation techniques, including von Laue's tangent plane approximation and various approximation functions, against exact calculations.
  • Demonstrated that von Laue's tangent plane approximation yields satisfactory accuracy when compared to exact mathematical solutions for spherical particles.
  • Identified significant limitations and raised concern regarding the reliability of conventional approximation functions.
  • Proposed using tangent plane approximations for ellipsoidal particle geometries as a reliable standard for future analytical work.

Cite This Study

A. L. Patterson (1939) studied this question.

synapsesocial.com/papers/69d73b03aa68b335b4f3091chttps://doi.org/10.1103/physrev.56.978
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The Form of the X-Ray Diffraction Bands for Regular Crystals of Colloidal Size1930 · 50 citations
  2. 2The measurement of particle size by the X-ray method1938 · 320 citations
  3. 3The resistance of superconducting cylinders in a transverse magnetic field1938 · 12 citations