Geometry of Crystals - Worked examples in the Geometry of Crystals Second edition H K D H Bhadeshia Professor of Physical Metallurgy University of

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Unformatted text preview: . Worked examples in the Geometry of Crystals Second edition H. K. D. H. Bhadeshia Professor of Physical Metallurgy University of Cambridge Fellow of Darwin College, Cambridge i Book 377 ISBN 0 904357 94 5 First edition published in 1987 by The Institute of Metals The Institute of Metals 1 Carlton House Terrace and North American Publications Center London SW1Y 5DB Old Post Road Brookfield, VT 05036, USA c circlecopyrt THE INSTITUTE OF METALS 1987 ALL RIGHTS RESERVED British Library Cataloguing in Publication Data Bhadeshia, H. K. D. H. Worked examples in the geometry of crystals. 1. Crystallography, Mathematical —– Problems, exercises, etc. I. Title 548’.1 QD911 ISBN 0–904357–94–5 COVER ILLUSTRATION shows a net–like sub–grain boundary in annealed bainite, × 150 , 000. Photograph by courtesy of J. R. Yang Compiled from original typesetting and illustrations provided by the author SECOND EDITION Published electronically with permission from the Institute of Materials 1 Carlton House Terrace London SW1Y 5DB ii Preface First Edition A large part of crystallography deals with the way in which atoms are arranged in single crys- tals. On the other hand, a knowledge of the relationships between crystals in a polycrystalline material can be fascinating from the point of view of materials science. It is this aspect of crystallography which is the subject of this monograph. The monograph is aimed at both undergraduates and graduate students and assumes only an elementary knowledge of crystal- lography. Although use is made of vector and matrix algebra, readers not familiar with these methods should not be at a disadvantage after studying appendix 1. In fact, the mathematics necessary for a good grasp of the subject is not very advanced but the concepts involved can be difficult to absorb. It is for this reason that the book is based on worked examples, which are intended to make the ideas less abstract. Due to its wide–ranging applications, the subject has developed with many different schemes for notation and this can be confusing to the novice. The extended notation used throughout this text was introduced first by Mackenzie and Bowles; I believe that this is a clear and unambiguous scheme which is particularly powerful in distinguishing between representations of deformations and axis transformations. The monograph begins with an introduction to the range of topics that can be handled using the concepts developed in detail in later chapters. The introduction also serves to familiarise the reader with the notation used. The other chapters cover orientation relationships, aspects of deformation, martensitic transformations and interfaces. In preparing this book, I have benefited from the support of Professors R. W. K. Honeycombe, Professor D. Hull, Dr F. B. Pickering and Professor J. Wood. I am especially grateful to Professor J. W. Christian and Professor J. F. Knott for their detailed comments on the text, and to many students who have over the years helped clarify my understanding of the subject.and to many students who have over the years helped clarify my understanding of the subject....
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Geometry of Crystals - Worked examples in the Geometry of Crystals Second edition H K D H Bhadeshia Professor of Physical Metallurgy University of

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