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Title: Notes on representing grain size distributions obtained by electron backscatter diffraction

Grain size distributions measured by electron backscatter diffraction are commonly represented by histograms using either number or area fraction definitions. It is shown here that they should be presented in forms of density distribution functions for direct quantitative comparisons between different measurements. Here we make an interpretation of the frequently seen parabolic tales of the area distributions of bimodal grain structures and a transformation formula between the two distributions are given in this paper. - Highlights: • Grain size distributions are represented by density functions. • The parabolic tales corresponds to equal number of grains in a bin of the histogram. • A simple transformation formula is given to number and area weighed distributions. • The particularities of uniform and lognormal distributions are examined.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [1] ;  [2]
  1. Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), UMR 7239, CNRS/Université de Lorraine, F-57045 Metz (France)
  2. (DAMAS), Université de Lorraine (France)
  3. Laboratory of Excellence on Design of Alloy Metals for low-mAss Structures (DAMAS), Université de Lorraine (France)
  4. School of Materials Science and Engineering, The University of New South Wales, Sydney, NSW 2052 (Australia)
Publication Date:
OSTI Identifier:
22288665
Resource Type:
Journal Article
Resource Relation:
Journal Name: Materials Characterization; Journal Volume: 84; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; BACKSCATTERING; DISTRIBUTION; DISTRIBUTION FUNCTIONS; ELECTRON DIFFRACTION; ELECTRONS; GRAIN SIZE