Crystallographic Textures
Crystallographic texture analysis deals with orientations of crystallites — building blocks of poly crystalline materials Many common materials are polycrystalline Among them are metals, ceramics, rocks, crystalline polymers (both, synthetic and natural)
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Springer-Verlag Berlin Heidelberg GmbH
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Adam Morawiec
Orientations and Rotations Computations in Crystallographic Textures
With 32 Figures
,
Springer
Dr. Adam Morawiec Polish Academy of Science Institute of Metallurgy and Materials Science Raymonta25
30-059 Krak6w Poland
Cataloging-in-Publication Data applied for Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at ISBN 978-3-642-07386-1 ISBN 978-3-662-09156-2 (eBook) DOI 10.1007/978-3-662-09156-2 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in other ways, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under German Copyright Law.
http://www.springer.de Springer-Verlag Berlin Heidelberg 2004 Originally published by Springer-Verlag Berlin Heidelberg New York in 2004.
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To my Wife.
Preface
T
HE ability to perceive orientations of objects is one of the basic characteristics of the space in which we live. Orient at ion changes are associated with rotations of objects. Rotations, together with translations, constitute all possible dis placements of rigid objects. The concepts of orientation and rotation are of primary importance for science and engineering. In physics, these notions appear in various contexts and at various scales: from the interpretation of angular moment um and molecular spectra in particle and atomic physics, to the study of rigid body motion in classical mechanics, to the analysis of rotations of celestial bodies in astronomy and considerations on the global rotation of the Universe in cosmology. Our interest in orient at ions comes from the prosaic area of crystallographic texture analysis. The main subject of this branch of knowledge are orient at ions of crystallites constituting polycrystalline materials. Most of basic results concerning rotations can be traced to L.Euler, O.Rodrigues and A.Cayley. The related modern literat ure is quite extensive. The description ofrotations is the main subject ofthe book by Kuipers (1998). There
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