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A journey into reciprocal space : a crystallographer's perspective / Anthony Michael Glazer.

By: Glazer, A. M. (Anthony Michael) [author.].
Contributor(s): Institute of Physics (Great Britain) [publisher.].
Material type: materialTypeLabelBookSeries: IOP (Series)Release 21: ; IOP ebooks2021 collection: Publisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]Edition: Second edition.Description: 1 online resource (various pagings) : illustrations (some color).Content type: text Media type: electronic Carrier type: online resourceISBN: 9780750338752; 9780750338745.Subject(s): X-ray crystallography | Solid state physics | Space groups | Condensed matter physics (liquid state & solid state physics) | Condensed matterAdditional physical formats: Print version:: No titleDDC classification: 548 Online resources: Click here to access online Also available in print.
Contents:
1. Direct space -- 1.1. What are crystals? -- 1.2. Miller indices -- 1.3. Symmetry operations and elements -- 1.4. Point-group symmetry -- 1.5. Translational symmetry -- 1.6. Crystal structures -- 1.7. Space groups
2. The reciprocal lattice -- 2.1. A brief history -- 2.2. Definition of the reciprocal lattice -- 2.3. Construction -- 2.4. Geometrical calculations
3. Diffraction -- 3.1. Introduction -- 3.2. Laue equations -- 3.3. Bragg's Law -- 3.4. The Ewald sphere -- 3.5. Lost in reciprocal space? -- 3.6. Imaging -- 3.7. Form factors -- 3.8. Structure factors -- 3.9. Thermal scattering -- 3.10. Intensities of reflections -- 3.11. Laue classes -- 3.12. Anomalous dispersion -- 3.13. Solution of crystal structures -- 3.14. Aperiodic crystals -- 3.15. Disordered and partially-ordered crystals
4. Dynamical diffraction -- 4.1. Multiple scattering -- 4.2. Renninger effect -- 4.3. Darwin's dynamical theory -- 4.4. Bloch's theorem -- 4.5. Two-beam approximation in electron diffraction -- 4.6. Pendell�osung or thickness fringes
5. Waves in a periodic medium -- 5.1. Waves in space -- 5.2. Periodic boundary conditions -- 5.3. Brillouin zones -- 5.4. Wigner-Seitz cell -- 5.5. Higher-order Brillouin zones -- 5.6. Density of states
6. Thermal and electronic properties -- 6.1. Heat capacity of solids -- 6.2. Vibrations of atoms -- 6.3. Heat conduction -- 6.4. Measurement of phonon dispersion -- 6.5. Free electrons in a metal -- 6.6. Tight-binding and nearly-free electrons -- 6.7. Metal or insulator?
7. Distortion modes -- 7.1. Introduction -- 7.2. Atomic displacements -- 7.3. Octahedral tilting -- 7.4. Group representations -- 7.5. Distortion modes.
Abstract: This is a substantially revised and expanded second edition of a book published in the Concise series. The book has been considerably extended and a number of corrections have been made to the text and diagrams. A new chapter (7) has also been added, on distortion mode analysis. Many new diagrams have been added and the topics have been explained more fully and with more attention to detail. This book starts with the crystallographer's point of view of direct and reciprocal space and then proceeds to develop this in a form suitable for physics applications. There are many books on condensed matter physics, written from the point of view of theoretical physicists. This book teaches the subject from the crystallographer's perspective. The emphasis will be on the importance of underlying periodicity, which lies at the heart of understanding the solid state, but which is usually glossed over in the standard condensed matter texts.
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"Version: 20210207"--Title page verso.

Includes bibliographical references and index.

1. Direct space -- 1.1. What are crystals? -- 1.2. Miller indices -- 1.3. Symmetry operations and elements -- 1.4. Point-group symmetry -- 1.5. Translational symmetry -- 1.6. Crystal structures -- 1.7. Space groups

2. The reciprocal lattice -- 2.1. A brief history -- 2.2. Definition of the reciprocal lattice -- 2.3. Construction -- 2.4. Geometrical calculations

3. Diffraction -- 3.1. Introduction -- 3.2. Laue equations -- 3.3. Bragg's Law -- 3.4. The Ewald sphere -- 3.5. Lost in reciprocal space? -- 3.6. Imaging -- 3.7. Form factors -- 3.8. Structure factors -- 3.9. Thermal scattering -- 3.10. Intensities of reflections -- 3.11. Laue classes -- 3.12. Anomalous dispersion -- 3.13. Solution of crystal structures -- 3.14. Aperiodic crystals -- 3.15. Disordered and partially-ordered crystals

4. Dynamical diffraction -- 4.1. Multiple scattering -- 4.2. Renninger effect -- 4.3. Darwin's dynamical theory -- 4.4. Bloch's theorem -- 4.5. Two-beam approximation in electron diffraction -- 4.6. Pendell�osung or thickness fringes

5. Waves in a periodic medium -- 5.1. Waves in space -- 5.2. Periodic boundary conditions -- 5.3. Brillouin zones -- 5.4. Wigner-Seitz cell -- 5.5. Higher-order Brillouin zones -- 5.6. Density of states

6. Thermal and electronic properties -- 6.1. Heat capacity of solids -- 6.2. Vibrations of atoms -- 6.3. Heat conduction -- 6.4. Measurement of phonon dispersion -- 6.5. Free electrons in a metal -- 6.6. Tight-binding and nearly-free electrons -- 6.7. Metal or insulator?

7. Distortion modes -- 7.1. Introduction -- 7.2. Atomic displacements -- 7.3. Octahedral tilting -- 7.4. Group representations -- 7.5. Distortion modes.

This is a substantially revised and expanded second edition of a book published in the Concise series. The book has been considerably extended and a number of corrections have been made to the text and diagrams. A new chapter (7) has also been added, on distortion mode analysis. Many new diagrams have been added and the topics have been explained more fully and with more attention to detail. This book starts with the crystallographer's point of view of direct and reciprocal space and then proceeds to develop this in a form suitable for physics applications. There are many books on condensed matter physics, written from the point of view of theoretical physicists. This book teaches the subject from the crystallographer's perspective. The emphasis will be on the importance of underlying periodicity, which lies at the heart of understanding the solid state, but which is usually glossed over in the standard condensed matter texts.

High level undergraduate and graduate students in condensed matter physics.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Mike Glazer is Emeritus Professor of Physics at the University of Oxford and Jesus College Oxford, and Visiting Professor at the University of Warwick. From 2014 to 2017 he was also Vice-President of the International Union of Crystallography. His PhD research between 1965 and 1968 was under the supervision of Kathleen Lonsdale at University College London, working on the crystallography of organic mixed crystals. From 1968-1969, he was a Fellow at Harvard University, and then from 1969 to 1976 he was at the Cavendish Laboratory, Cambridge. In 1976, he was appointed Lecturer in Physics at the Clarendon Laboratory Oxford and as an Official Fellow and Tutor at Jesus College Oxford. Mike Glazer's research has mainly been in understanding the relationship between physical properties of crystals and their structures. He is perhaps best known for his classification system for tilted octahedra in perovskites. He is also one of the co-founders of Oxford Cryosystems Ltd, which supplies the world market in low-temperature apparatus for crystallographers.

Title from PDF title page (viewed on August 5, 2021).

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