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

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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Glazer, A. M. (Anthony Michael) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2017]
Colección:IOP (Series). Release 4.
IOP concise physics.
Temas:
X-ray crystallography.
Solid state physics.
Space groups.
Condensed matter physics (liquid state & solid state physics)
SCIENCE / Physics / Condensed Matter.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 groups
  • 2. The reciprocal lattice
  • 2.1. Definition
  • 2.2. Construction
  • 2.3. Geometrical calculations
  • 3. 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 crystals
  • 4. Dynamical diffraction
  • 4.1. Multiple scattering
  • 4.2. Renninger effect
  • 4.3. Two-beam approximation in electron diffraction
  • 4.4. Pendellösung or thickness fringes
  • 5. 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 states
  • 6. 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.

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