Measuring the five-parameter grain-boundary distribution from observations of planar sections

A stereological method is described for estimating the distribution of grain-boundary types in polycrystalline materials on the basis of observations from a single planar section. The grain-boundary distribution is expressed in terms of five macroscopically observable parameters that include: three...

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Published in:Metallurgical and materials transactions. A, Physical metallurgy and materials science Physical metallurgy and materials science, 2004-07, Vol.35 (7), p.1981-1989
Main Authors: SAYLOR, David M, EL-DASHER, Bassem S, ADAMS, Brent L, ROHRER, Gregory S
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Crystallography
Defects and impurities in crystals
microstructure
Exact sciences and technology
Grain and twin boundaries
Grain boundaries
Materials science
Mechanical engineering
Microstructure
Physics
Polycrystals
Structure of solids and liquids
crystallography
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cited_by cdi_FETCH-LOGICAL-c471t-e514b9086554ac03843e4ae8209c293edc32a94b381ab033f4a8e36f205eddc13
cites cdi_FETCH-LOGICAL-c471t-e514b9086554ac03843e4ae8209c293edc32a94b381ab033f4a8e36f205eddc13
container_end_page 1989
container_issue 7
container_start_page 1981
container_title Metallurgical and materials transactions. A, Physical metallurgy and materials science
container_volume 35
creator SAYLOR, David M
EL-DASHER, Bassem S
ADAMS, Brent L
ROHRER, Gregory S
description A stereological method is described for estimating the distribution of grain-boundary types in polycrystalline materials on the basis of observations from a single planar section. The grain-boundary distribution is expressed in terms of five macroscopically observable parameters that include: three parameters that describe the lattice misorientation across the boundary and two parameters that describe the orientation of the grain-boundary plane normal. The grain-boundary distribution is derived from measurements of grain orientations and the orientations of the lines formed where grain boundaries intersect the plane of observation. Tests of the method on simulated observations illustrate that the distribution of boundaries in a material with cubic symmetry can be reliably determined with about 10° of resolution from the analysis of 5 × 10^sup 4^ or more line segments. Furthermore, grain-boundary distributions directly observed from serial sections of a SrTiO^sub 3^ polycrystal are compared to those resulting from the stereological analysis of a single plane. The comparison shows that the stereological method provides a reasonable estimate of the measured distribution. The differences between the directly observed grain-boundary distribution and that derived from the stereological analysis are consistent with the results from the simulation. [PUBLICATION ABSTRACT]
doi_str_mv 10.1007/s11661-004-0147-z
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1543-1940
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subjects Condensed matter: structure, mechanical and thermal properties
Crystallography
Defects and impurities in crystals
microstructure
Exact sciences and technology
Grain and twin boundaries
Grain boundaries
Materials science
Mechanical engineering
Microstructure
Physics
Polycrystals
Structure of solids and liquids
crystallography
title Measuring the five-parameter grain-boundary distribution from observations of planar sections
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