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Spatial distribution of Fe 3 C‐particles in steel during coarsening
Author(s) -
Wiencek Kurt
Publication year - 1996
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.199605513
Subject(s) - nearest neighbour , physics , die (integrated circuit) , particle (ecology) , materials science , geometry , mathematics , nanotechnology , oceanography , artificial intelligence , geology , computer science
The particles’ arrangement of disperse phases can be described by the space distribution of particle centers as well as by relations between center positions and particle sizes. By means of the sphere models of known stochastic properties one can obtain some information on the particle arrangement by stereology. The models make it possible to determine (by calculation or simulation) functions which characterise the distribution of the centers of two‐dimensional particles In planar sections, i.e., the pair‐coorrelation function and the nearest neighbour distance distribution, and compare them with respective empirical functions. The steorological analysis of the two disperse systems of Fe 3 C‐particles in steel observed during the different stages of the coarsening process indicate that these dispersions follow the Stienen model (a model for non‐overlapping spheres), i.e., the particle centers form a Poisson point field while the particle sizes are dependent on and determined by the nearest neighbours distance of the particle centers.