Definition of an Asymmetric Domain for Intercrystalline Misorientation in Cubic Materials in the Space of Euler Angles

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Permanent URL	http://hdl.lib.byu.edu/1877/106
Title	Definition of an Asymmetric Domain for Intercrystalline Misorientation in Cubic Materials in the Space of Euler Angles
BYU Creator	Adams, Brent L.
Creator	Zhao, Junwu
Keywords	asymmetric domain; coincidence site lattice boundaries; Cubic lattice symmetry; Euler angles; intercrystalline misorientation
Description/Abstract	The authors wish to acknowledge the support of the United States Department of Energy, Office of Basic Energy Sciences, under grant No. DE-FG02-85ER45203. Critical review by Professor Dorian Hatch of the Physics Department at Brigham Young University is gratefully acknowledged. A new asymmetric domain for intercrystalline misorientation is defined in the space of Euler angles for materials exhibiting cubic (Oh point-group) lattice symmetry. The invariant measure for this new domain is nearly constant; this is in significant contrast to the previous domain defined by MacKenzie [Biornetrika (1958), 45, 229-240]. Distribution functions in the misorientation can now be represented with greater clarity and convenience in the new domain. A detailed theoretical analysis of special misorientations exhibiting multiplicities m > 1 is described. It is demonstrated that all such special misorientations fall upon the surfaces separating distinct asymmetric domains. This result convincingly proves that the derived asymmetric domain is correct. The location of all possible coincidence site lattice boundaries for E <= 49 are identified in the asymmetric domain, and their characteristic multiplicities are given.
Source	Acta Cryst. (1998). A44, 326-336;
Publisher	International Union of Crystallography
Date Original	1987-12
Date Digital	2006-03-01
Language	English eng en
Publication Type	Articles
Type	Text
Format	application/pdf
Owning Institution	Brigham Young University
BYU College	Ira A. Fulton College of Engineering and Technology
BYU Department	Mechanical Engineering
Copyright Status	(c) 1987 Brent L. Adams and Junwu Zhao;
Copyright Use Information	http://www.lib.byu.edu/generic_copyright.html

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Definition of an Asymmetric Domain for Intercrystalline Misorientation in Cubic Materials in the Space of Euler Angles

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