International Tables for Crystallography (2010). Vol. B, ch. 4.2, pp. 492-539   | 1 | 2 |
doi: 10.1107/97809553602060000774

Chapter 4.2. Disorder diffuse scattering of X-rays and neutrons

Contents

  • 4.2. Disorder diffuse scattering of X-rays and neutrons  (pp. 492-539) | html | pdf | chapter contents |
    • 4.2.1. Introduction  (pp. 492-493) | html | pdf |
    • 4.2.2. Basic scattering theory  (pp. 493-495) | html | pdf |
      • 4.2.2.1. General  (pp. 493-494) | html | pdf |
      • 4.2.2.2. X-ray and neutron scattering  (pp. 494-495) | html | pdf |
    • 4.2.3. Qualitative treatment of structural disorder  (pp. 495-507) | html | pdf |
      • 4.2.3.1. Basic mathematics  (pp. 495-496) | html | pdf |
      • 4.2.3.2. Fourier transforms  (pp. 496-497) | html | pdf |
      • 4.2.3.3. General formulation of a disorder problem  (p. 497) | html | pdf |
      • 4.2.3.4. General aspects of diffuse scattering  (pp. 497-498) | html | pdf |
      • 4.2.3.5. Types of diffuse scattering  (pp. 498-507) | html | pdf |
        • 4.2.3.5.1. Substitutional fluctuations, occupational disorder  (pp. 498-499) | html | pdf |
        • 4.2.3.5.2. Displacement fluctuations, displacive disorder  (p. 499) | html | pdf |
        • 4.2.3.5.3. Clusters and domains  (pp. 499-502) | html | pdf |
        • 4.2.3.5.4. One-dimensional disorder  (pp. 502-506) | html | pdf |
        • 4.2.3.5.5. Two-dimensional disorder  (p. 506) | html | pdf |
        • 4.2.3.5.6. Three-dimensional disorder  (pp. 506-507) | html | pdf |
      • 4.2.3.6. Symmetry  (p. 507) | html | pdf |
    • 4.2.4. General guidelines for analysing a disorder problem  (pp. 507-509) | html | pdf |
    • 4.2.5. Quantitative interpretation  (pp. 509-526) | html | pdf |
      • 4.2.5.1. Introduction  (p. 509) | html | pdf |
      • 4.2.5.2. Layered structures: one-dimensional disorder  (pp. 509-514) | html | pdf |
        • 4.2.5.2.1. Stacking disorder in close-packed structures  (pp. 512-514) | html | pdf |
      • 4.2.5.3. Chain-like structures: two-dimensional disorder  (pp. 514-518) | html | pdf |
        • 4.2.5.3.1. Randomly distributed collinear chains  (pp. 514-516) | html | pdf |
        • 4.2.5.3.2. Disorder within randomly distributed collinear chains  (pp. 516-517) | html | pdf |
        • 4.2.5.3.3. Correlations between almost collinear chains  (pp. 517-518) | html | pdf |
      • 4.2.5.4. Defects, short-range ordering, clustering: three-dimensional disorder  (pp. 518-524) | html | pdf |
        • 4.2.5.4.1. General formulation (elastic diffuse scattering)  (pp. 518-520) | html | pdf |
        • 4.2.5.4.2. Random distribution of defects  (p. 520) | html | pdf |
        • 4.2.5.4.3. Short-range order in multicomponent systems  (pp. 520-521) | html | pdf |
        • 4.2.5.4.4. Displacements: general remarks  (pp. 521-522) | html | pdf |
        • 4.2.5.4.5. Distortions in binary systems  (pp. 522-524) | html | pdf |
        • 4.2.5.4.6. Comparison with the cluster method  (p. 524) | html | pdf |
      • 4.2.5.5. Molecular crystals: orientational disorder  (pp. 524-526) | html | pdf |
    • 4.2.6. Disorder diffuse scattering from aperiodic crystals  (pp. 526-528) | html | pdf |
      • 4.2.6.1. Incommensurately modulated structures  (p. 527) | html | pdf |
      • 4.2.6.2. Composite structures  (p. 527) | html | pdf |
      • 4.2.6.3. Quasicrystals  (pp. 527-528) | html | pdf |
    • 4.2.7. Computer simulations and modelling  (pp. 528-530) | html | pdf |
      • 4.2.7.1. Introduction  (p. 528) | html | pdf |
      • 4.2.7.2. Simulation programs  (p. 528) | html | pdf |
      • 4.2.7.3. Modelling procedures  (pp. 528-530) | html | pdf |
        • 4.2.7.3.1. Molecular dynamics  (p. 529) | html | pdf |
        • 4.2.7.3.2. Monte Carlo calculations  (pp. 529-530) | html | pdf |
        • 4.2.7.3.3. General remarks  (p. 530) | html | pdf |
    • 4.2.8. Experimental techniques and data evaluation  (pp. 530-535) | html | pdf |
      • 4.2.8.1. Single-crystal techniques  (pp. 530-534) | html | pdf |
      • 4.2.8.2. Powders and polycrystals  (pp. 534-535) | html | pdf |
      • 4.2.8.3. Total diffraction pattern  (p. 535) | html | pdf |
    • References | html | pdf |
    • Figures
      • Fig. 4.2.3.1. Model of the two-dimensional distribution of point defects, causing changes in the surroundings  (p. 500) | html | pdf |
      • Fig. 4.2.3.2. One-dimensional Patterson functions of various point-defect distributions  (p. 501) | html | pdf |
      • Fig. 4.2.3.3. Periodic array of domains consisting of two different atoms, represented by different heights  (p. 502) | html | pdf |
      • Fig. 4.2.3.4. Influence of distortions at the boundary of domains and separation into two parts  (p. 504) | html | pdf |
      • Fig. 4.2.3.5. Behaviour of p 11 ( m ) and p 12 ( m ) in mixed crystals (unmixing)  (p. 505) | html | pdf |
      • Fig. 4.2.3.6. Decomposition of Fig. 4.2.3.5( a ) into ( a ) a periodic and ( b ) a rapidly convergent part  (p. 505) | html | pdf |
      • Fig. 4.2.3.7. The same distribution ( cf. Fig. 4.2.3.5) in the case of superstructure formation  (p. 506) | html | pdf |
      • Fig. 4.2.5.1. Construction of the correlation function in the method of overlapping clusters  (p. 521) | html | pdf |
      • Fig. 4.2.8.1. Schematic sketch of a diffractometer setting  (p. 533) | html | pdf |
      • Fig. 4.2.8.2. Line profiles in powder diffraction for diffuse peaks (full line), continuous streaks (dot–dash lines) and continuous planes (broken lines)  (p. 535) | html | pdf |