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Title: The effect of the shape function on small-angle scattering analysis by the maximum entropy method

Technical Report ·
DOI:https://doi.org/10.2172/10159169· OSTI ID:10159169
 [1];  [2]
  1. Argonne National Lab., IL (United States)
  2. Univ. of Maryland, College Park, MD (United States). Department of Physics

Analysis of small-angle scattering data to obtain a particle size distribution is dependent upon the shape function used to model the scattering. Using a maximum entropy analysis of small-angle scattering data, the effect of shape function selection on obtained size distribution is demonstrated using three different shape functions to describe the same scattering data from each of two steels. The alloys have been revealed by electron microscopy to contain a distribution of randomly oriented and mainly non-interacting, irregular, ellipsoidal precipitates. Comparison is made between the different forms of the shape function. Effect of an incident wavelength distribution is also shown. The importance of testing appropriate shape functions and validating these against other microstructural studies is discussed.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States); National Aeronautics and Space Administration, Washington, DC (United States)
DOE Contract Number:
W-31109-ENG-38
OSTI ID:
10159169
Report Number(s):
ANL/MSD/PP-77633; ON: DE94013421; CNN: Contract NAG8-144
Resource Relation:
Other Information: PBD: 15 Sep 1992
Country of Publication:
United States
Language:
English