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

• Κύριος συγγραφέας: Glazer, A. M. (Anthony Michael) (συγγραφέας.)
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: San Rafael [Καλιφόρνια] : Morgan & Claypool Publishers, c2017.
• Σειρά: IOP concise physics.
• Θέματα: Κρυσταλλογραφία; Φυσική της στερεάς κατάστασης

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...

Πίνακας περιεχομένων:

• 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. Pendell�osung 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.