Reciprocal lattice - 4 T he Reciprocal Lattice by A ndr~ Authier T his electronic edition may be freely copied and r edistributed for educational

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The 4 Reciprocal Lattice by Andr~ Authier This electronic edition may be freely copied and redistributed for educational or research purposes only. It may not be sold for profit nor incorporated in any product sold for profit without the express pernfission of The Executive Secretary, International Union of Crystallography, 2 Abbey Square, Chester CIII 211[;, [;K Copyright in this electronic ectition (<.)2001 International l.Jnion of Crystallography Published for the International Union of Crystallography University College Cardiff Press Cardiff, Wales
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© 1981 by the International Union of Crystallography. All rights reserved. Published by the University College Cardiff Press for the International Union of Crystallography with the financial assistance of Unesco Contract No. SC/RP 250.271 This pamphlet is one of a series prepared by the Commission on Crystallographic Teaching of the International Union of Crystallography, under the General Editorship of Professor C. A. Taylor. Copies of this pamphlet and other pamphlets in the series may be ordered direct from the University College Cardiff Press, P.O. Box 78, Cardiff CF1 1XL, U.K. ISBN 0 906449 08 I Printed in Wales by University College, Cardiff.
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Series Preface The long term aim of the Commission on Crystallographic Teaching in establishing this pamphlet programme is to produce a large collection of short statements each dealing with a specific topic at a specific level. The emphasis is on a particular teaching approach and there may well, in time, be pamphlets giving alternative teaching approaches to the same topic. It is not the function of the Commission to decide on the 'best' approach but to make all available so that teachers can make their own selection. Similarly, in due course, we hope that the same topics will be covered at more than one level. The initial selection of ten pamphlets published together represents a sample of the various levels andapproaches and it is hoped that it will stimulate many more people to contribute to this scheme. It does not take very long to write a short pamphlet, but its value to someone teaching a topic for the first time can be very great: Each pamphlet is prefaced by a statement of aims, level, necessary background, etc. C. A. Taylor Editor for the Commission The financial assistance of UNESCO, ICSU and of the International Union of Crystallog- raphy in publishing the pamphlets is gratefully acknowledged.
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Teaching Aims To give a firm mathematical understanding of the reciprocal lattice, of the relationships between real and reciprocal space and of their implica- tions for X-ray diffraction.- Level This approach would be suitable for final year undergraduates in physics and mathematics or for initial post-graduate students in other disciplines provided that their mathematical background is adequate. Background A familiarity with vector manipulation is needed and, for certain sections, an understandingof tensor calculus. Practical Resources No specific practical resources are required. Thne Required for Teaching
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This note was uploaded on 04/21/2010 for the course MS&E 2060 taught by Professor Robinson during the Spring '10 term at Cornell University (Engineering School).

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Reciprocal lattice - 4 T he Reciprocal Lattice by A ndr~ Authier T his electronic edition may be freely copied and r edistributed for educational

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