International Tables for Crystallography (2006). Vol. C, ch. 7.4, pp. 653-665
doi: 10.1107/97809553602060000607

Chapter 7.4. Correction of systematic errors

Contents

  • 7.4. Correction of systematic errors  (pp. 653-665) | html | pdf | chapter contents |
    • 7.4.1. Absorption  (p. 653) | html | pdf |
    • 7.4.2. Thermal diffuse scattering  (pp. 653-657) | html | pdf |
      • 7.4.2.1. Glossary of symbols  (pp. 653-654) | html | pdf |
      • 7.4.2.2. TDS correction factor for X-rays (single crystals)  (pp. 654-656) | html | pdf |
        • 7.4.2.2.1. Evaluation of J ( q )  (pp. 654-655) | html | pdf |
        • 7.4.2.2.2. Calculation of α  (pp. 655-656) | html | pdf |
      • 7.4.2.3. TDS correction factor for thermal neutrons (single crystals)  (pp. 656-657) | html | pdf |
      • 7.4.2.4. Correction factor for powders   (p. 657) | html | pdf |
    • 7.4.3. Compton scattering  (pp. 657-661) | html | pdf |
      • 7.4.3.1. Introduction  (p. 657) | html | pdf |
      • 7.4.3.2. Non-relativistic calculations of the incoherent scattering cross section  (pp. 657-659) | html | pdf |
        • 7.4.3.2.1. Semi-classical radiation theory  (pp. 657-659) | html | pdf |
        • 7.4.3.2.2. Thomas–Fermi model  (p. 659) | html | pdf |
        • 7.4.3.2.3. Exact calculations  (p. 659) | html | pdf |
      • 7.4.3.3. Relativistic treatment of incoherent scattering  (pp. 659-660) | html | pdf |
      • 7.4.3.4. Plasmon, Raman, and resonant Raman scattering  (pp. 660-661) | html | pdf |
      • 7.4.3.5. Magnetic scattering  (p. 661) | html | pdf |
    • 7.4.4. White radiation and other sources of background  (pp. 661-665) | html | pdf |
      • 7.4.4.1. Introduction  (p. 661) | html | pdf |
      • 7.4.4.2. Incident beam and sample  (pp. 661-663) | html | pdf |
      • 7.4.4.3. Detecting system  (pp. 663-664) | html | pdf |
      • 7.4.4.4. Powder diffraction  (pp. 664-665) | html | pdf |
    • References | html | pdf |
    • Figures
      • Fig. 7.4.2.1. 060 reflection of LiNbO 3 (Mössbauer diffraction)  (p. 653) | html | pdf |
      • Fig. 7.4.2.2. Diagrams in reciprocal space illustrating the volume abcd swept out for ( a ) an ω scan, and ( b ) a θ/2θ, or ω/2θ, scan  (p. 655) | html | pdf |
      • Fig. 7.4.2.3. Scattering surfaces for one-phonon scattering of neutrons: ( a ) for neutrons faster than sound (β < 1); ( b ) for neutrons slower than sound (β > 1)  (p. 656) | html | pdf |
      • Fig. 7.4.2.4. One-phonon scattering calculated for polycrystalline nickel of lattice constant a (after Suortti, 1980 a )  (p. 656) | html | pdf |
      • Fig. 7.4.3.1. Schematic diagram of the inelastic scattering interactions, Δ E = E 1 E 2 is the energy transferred from the photon and K the momentum transfer  (p. 657) | html | pdf |
      • Fig. 7.4.3.2. The incoherent scattering function, S ( x, Z )/ Z , per electron for aluminium shown as a function of x = (sin θ)/λ  (p. 660) | html | pdf |
      • Fig. 7.4.3.3. The cross section for resonant Raman scattering (RRS) and fluorescence (F) as a function of the ratio of the incident energy, E , and the K -binding energy, E B   (p. 661) | html | pdf |
      • Fig. 7.4.4.1. Equatorial phase-space diagrams for a conventional X-ray source and parallel-beam geometry; x is the size and x ′ = d x /d z the divergence of the X-rays  (p. 662) | html | pdf |
      • Fig. 7.4.4.2. Reflection 400 of LiH measured with a parallel beam of Mo K α 1 radiation (solid curve)  (p. 662) | html | pdf |
      • Fig. 7.4.4.3. Equatorial phase-space diagrams for two wavelengths, λ 1 (solid lines) and λ 2 (broken lines), projected on the plane λ = λ 1   (p. 662) | html | pdf |
      • Fig. 7.4.4.4. Two reflections of beryllium acetate measured with Mo K α  (p. 663) | html | pdf |
      • Fig. 7.4.4.5. Components of scattering at small scattering angles when the incident energy is just below the K absorption edge of the sample [upper part, ( a )], and at large scattering angles when the incident energy is about twice the K -edge energy [upper part, ( b )]  (p. 663) | html | pdf |
      • Fig. 7.4.4.6. Equatorial phase-space diagrams for powder diffraction in the Bragg–Brentano geometry  (p. 664) | html | pdf |
      • Fig. 7.4.4.7. Three measurements of the 220 reflection of Ni at λ = 1.541 Å scaled to the same peak value; ( a ) in linear scale, ( b ) in logarithmic scale  (p. 664) | html | pdf |
    • Tables
      • Table 7.4.3.1. The energy transfer, in eV, in the Compton scattering process for selected X-ray energies  (p. 657) | html | pdf |
      • Table 7.4.3.2. The incoherent scattering function for elements up to Z = 55  (p. 658) | html | pdf |
      • Table 7.4.3.3. Compton scattering of Mo K α X-radiation through 170° from 2 s electrons  (p. 659) | html | pdf |