A journey into reciprocal space : a crystallographer's perspective / A.M. Glazer.
Τύπος υλικού:
ΚείμενοΣειρά: IOP concise physicsΛεπτομέρειες δημοσίευσης: San Rafael [Καλιφόρνια] : Morgan & Claypool Publishers, c2017.Περιγραφή: 1 ηλεκτρονική πηγή (ποικίλες σελιδαριθμήσεις) : εικ. (μερ. έγχρ.)ISBN: - 9781681746210
- 9781681746234
- 548 23
Περιλαμβάνει βιβλιογραφικές παραπομπές.
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.
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.
