The Effects of Granularity on the Diffracted Intensity in Powders
Abstract
The particle size, shape and the geometry of packing may affect the diffracted intensity in a powder. Previous considerations of the satistical aspects of the problem have yielded some what conflicting results. The present treatment contributes toward resolving these results by providing a simplified but still exact formu lation of the expression for the intensity. It is shown that in addition to the usual expression for the intensity associated with an infinite homogeneous solid there is a corrective term. This term depends in detail on tr1 correlations between a ray's absorbing path in and out of the powder. The correction term vanishes when there are no correlations between these paths. As an example of the effect of correlations, we have obtained the correction term for a simple model of a powder which should be a good approximation in the limit of small porosity. The correction is found to go to zero in the limit of normal incidence in accord with the rigorous results.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1963
- Accession Number
- AD0409519
Entities
People
- Arthur Paskin
- Ralph J. Harrison
Organizations
- United States Army Research Laboratory