A journey into reciprocal space :a crystallographer's perspective /

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"Version: 20171001"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Direct space -- 1.1. What are crystals? -- 1.2. Miller indices -- 1.3. Point symmetry -- 1.4. Point groups -- 1.5. Translational symmetry -- 1.6. Crystal structures -- 1.7. Space groups2. The reciprocal lattice -- 2.1. Definition -- 2.2. Construction -- 2.3. Geometrical calculations3. Diffraction -- 3.1. Laue equations -- 3.2. Bragg's Law -- 3.3. The Ewald sphere -- 3.4. Lost in reciprocal space? -- 3.5. Intensity -- 3.6. Fourier transformation -- 3.7. Convolution theorem -- 3.8. Two simple 'rules' -- 3.9. Lattice diffraction -- 3.10. Structure factors -- 3.11. Form factors -- 3.12. Anomalous dispersion -- 3.13. Intensity calculations -- 3.14. Solution of crystal structures -- 3.15. Fourier synthesis -- 3.16. The Patterson method -- 3.17. Charge flipping -- 3.18. The Rietveld method -- 3.19. Total scattering analysis -- 3.20. Aperiodic crystals -- 3.21. Disordered crystals4. Dynamical diffraction -- 4.1. Multiple scattering -- 4.2. Renninger effect -- 4.3. Two-beam approximation in electron diffraction -- 4.4. Pendell?osung or thickness fringes5. Waves in a periodic medium -- 5.1. Waves in space -- 5.2. Periodic boundary conditions -- 5.3. Bloch's theorem -- 5.4. Brillouin zones -- 5.5. Wigner-Seitz cell -- 5.6. Higher-order Brillouin zones -- 5.7. Density of states6. Thermal and electronic properties -- 6.1. Specific heat capacity of solids -- 6.2. Einstein model -- 6.3. Debye model -- 6.4. Vibrations of atoms -- 6.5. Lattice dynamics -- 6.6. Heat conduction -- 6.7. Interaction with radiation -- 6.8. Free electrons in a metal -- 6.9. Nearly free electrons -- 6.10. Metal or insulator? -- Appendix. Wigner-Seitz constructions.This book introduces undergraduate and graduate students to a crystallographer's view of real and reciprocal space, a concept that has been of particular use by crystallographers to understand the patterns of spots when x-rays are diffracted by crystals. It then proceeds to develop the concept in a form suitable for physics applications; such as how solid-state physicists use reciprocal space to explain various solid-state properties such as thermal and electrical phenomena.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. In 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 November 18, 2017).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781681746210

Classification

548

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Subject(s)

Solid state physics.
SCIENCE / Physics / Condensed Matter.
X-ray crystallography.
Space groups.

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A.M. Glazer.

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