A Journey into Reciprocal Space (Second Edition) : A Crystallographer's Perspective.

Intro -- Preface -- Acknowledgments -- Author biography -- Anthony Michael Glazer -- Chapter 1 Direct space -- 1.1 What are crystals? -- 1.2 Miller indices -- 1.3 Symmetry operations and elements -- 1.4 Point-group symmetry -- 1.4.1 Symmetry operations of the first kind -- 1.4.2 Symmetry operations of the second kind -- 1.4.3 Point groups -- 1.5 Translational symmetry -- 1.5.1 Lattices -- 1.5.2 Unit cells -- 1.5.3 Planes and directions -- 1.5.4 Crystal systems -- 1.5.5 Crystallographic restriction theorem -- 1.5.6 Bravais lattices -- 1.6 Crystal structures -- 1.6.1 Convolution -- 1.6.2 Convolution applied to crystals -- 1.6.3 Examples of simple crystal structures -- 1.7 Space groups -- 1.7.1 Symmorphic space groups -- 1.7.2 Non-symmorphic space groups -- 1.7.3 Types -- 1.7.4 Subgroups and supergroups -- References -- Chapter 2 The reciprocal lattice -- 2.1 A brief history -- 2.2 Definition of the reciprocal lattice -- 2.3 Construction -- 2.4 Geometrical calculations -- 2.4.1 Metric tensors -- 2.4.2 Interplanar distances -- 2.4.3 Example calculations -- References -- Chapter 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? -- 3.5.1 Stationary crystal -- 3.5.2 Oscillating and rotating crystal -- 3.5.3 Polycrystalline powder -- 3.5.4 Laue diffraction -- 3.5.5 Energy-dispersive diffraction -- 3.5.6 Confusion over sub and super? -- 3.6 Imaging -- 3.6.1 Fourier transformation -- 3.6.2 A simple view of crystal diffraction -- 3.6.3 Lattice diffraction -- 3.7 Form factors -- 3.7.1 X-rays -- 3.7.2 Neutrons -- 3.7.3 Electrons -- 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 -- 3.13.1 The phase problem -- 3.13.2 Fourier synthesis.

3.13.3 The Patterson method -- 3.13.4 Charge flipping -- 3.13.5 Rietveld refinement -- 3.13.6 Total scattering analysis -- 3.13.7 What's new? -- 3.14 Aperiodic crystals -- 3.15 Disordered and partially-ordered crystals -- References -- Chapter 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 Pendellösung or thickness fringes -- References -- Chapter 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 -- References -- Chapter 6 Thermal and electronic properties -- 6.1 Heat capacity of solids -- 6.1.1 Einstein model -- 6.1.2 Debye model -- 6.2 Vibrations of atoms -- 6.2.1 One-dimensional monatomic chain -- 6.2.2 One-dimensional diatomic chain -- 6.2.3 Lattice dynamics -- 6.3 Heat conduction -- 6.3.1 Normal processes -- 6.3.2 Umklapp processes -- 6.4 Measurement of phonon dispersion -- 6.4.1 Absorption spectroscopy -- 6.4.2 Inelastic scattering of light -- 6.4.3 Inelastic scattering of neutrons -- 6.5 Free electrons in a metal -- 6.6 Tight-binding and nearly-free electrons -- 6.6.1 Tight-binding -- 6.6.2 Nearly-free electron -- 6.7 Metal or insulator? -- 6.7.1 Sodium -- 6.7.2 Calcium -- 6.7.3 Diamond, silicon, germanium -- References -- Chapter 7 Distortion modes -- 7.1 Introduction -- 7.2 Atomic displacements -- 7.3 Octahedral tilting -- 7.4 Group representations -- 7.5 Distortion modes -- References -- Chapter -- Chapter -- Symbols of symmetry planes -- Symbols of symmetry axes -- Three-dimensional lattices -- Chapter -- Chapter -- Chapter -- Chapter -- Chapter -- Chapter.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.