Layer stacking

Ďurovič, S.; Krishna, P.; Pandey, D.

doi:10.1107/97809553602060000618

International Tables for Crystallography (2006). Vol. C. ch. 9.2, pp. 752-773
https://doi.org/10.1107/97809553602060000618

Chapter 9.2. Layer stacking

9.2. Layer stacking (pp. 752-773) | html | pdf | chapter contents |
S. Ďurovič, P. Krishna and D. Pandey
- 9.2.1. Layer stacking in close-packed structures (pp. 752-760) | html | pdf |
  D. Pandey and P. Krishna
  - 9.2.1.1. Close packing of equal spheres (pp. 752-753) | html | pdf |
    - 9.2.1.1.1. Close-packed layer (p. 752) | html | pdf |
    - 9.2.1.1.2. Close-packed structures (p. 752) | html | pdf |
    - 9.2.1.1.3. Notations for close-packed structures (pp. 752-753) | html | pdf |
  - 9.2.1.2. Structure of compounds based on close-packed layer stackings (pp. 753-755) | html | pdf |
    - 9.2.1.2.1. Voids in close packing (p. 753) | html | pdf |
    - 9.2.1.2.2. Structures of SiC and ZnS (pp. 753-754) | html | pdf |
    - 9.2.1.2.3. Structure of CdI₂ (p. 754) | html | pdf |
    - 9.2.1.2.4. Structure of GaSe (pp. 754-755) | html | pdf |
  - 9.2.1.3. Symmetry of close-packed layer stackings of equal spheres (p. 755) | html | pdf |
  - 9.2.1.4. Possible lattice types (p. 755) | html | pdf |
  - 9.2.1.5. Possible space groups (pp. 755-756) | html | pdf |
  - 9.2.1.6. Crystallographic uses of Zhdanov symbols (p. 756) | html | pdf |
  - 9.2.1.7. Structure determination of close-packed layer stackings (pp. 756-758) | html | pdf |
    - 9.2.1.7.1. General considerations (p. 756) | html | pdf |
    - 9.2.1.7.2. Determination of the lattice type (p. 757) | html | pdf |
    - 9.2.1.7.3. Determination of the identity period (p. 757) | html | pdf |
    - 9.2.1.7.4. Determination of the stacking sequence of layers (pp. 757-758) | html | pdf |
  - 9.2.1.8. Stacking faults in close-packed structures (pp. 758-760) | html | pdf |
    - 9.2.1.8.1. Structure determination of one-dimensionally disordered crystals (pp. 759-760) | html | pdf |
- 9.2.2. Layer stacking in general polytypic structures (pp. 760-773) | html | pdf |
  S. Ďurovič
  - 9.2.2.1. The notion of polytypism (pp. 760-761) | html | pdf |
  - 9.2.2.2. Symmetry aspects of polytypism (pp. 761-766) | html | pdf |
    - 9.2.2.2.1. Close packing of spheres (p. 761) | html | pdf |
    - 9.2.2.2.2. Polytype families and OD groupoid families (pp. 761-762) | html | pdf |
    - 9.2.2.2.3. MDO polytypes (p. 762) | html | pdf |
    - 9.2.2.2.4. Some geometrical properties of OD structures (pp. 762-763) | html | pdf |
    - 9.2.2.2.5. Diffraction pattern – structure analysis (p. 763) | html | pdf |
    - 9.2.2.2.6. The vicinity condition (pp. 763-764) | html | pdf |
    - 9.2.2.2.7. Categories of OD structures (pp. 764-765) | html | pdf |
      - 9.2.2.2.7.1. OD structures of equivalent layers (pp. 764-765) | html | pdf |
      - 9.2.2.2.7.2. OD structures with more than one kind of layer (p. 765) | html | pdf |
    - 9.2.2.2.8. Desymmetrization of OD structures (pp. 765-766) | html | pdf |
    - 9.2.2.2.9. Concluding remarks (p. 766) | html | pdf |
  - 9.2.2.3. Examples of some polytypic structures (pp. 766-772) | html | pdf |
    - 9.2.2.3.1. Hydrous phyllosilicates (pp. 766-769) | html | pdf |
      - 9.2.2.3.1.1. General geometry (pp. 767-769) | html | pdf |
      - 9.2.2.3.1.2. Diffraction pattern and identification of individual polytypes (p. 769) | html | pdf |
    - 9.2.2.3.2. Stibivanite Sb₂VO₅ (pp. 769-771) | html | pdf |
    - 9.2.2.3.3. γ-Hg₃S₂Cl₂ (pp. 771-772) | html | pdf |
    - 9.2.2.3.4. Remarks for authors (p. 772) | html | pdf |
  - 9.2.2.4. List of some polytypic structures (pp. 772-773) | html | pdf |
- References | html | pdf |
- Figures
  - Fig. 9.2.1.1. The close packing of equal spheres in a plane (p. 752) | html | pdf |
  - Fig. 9.2.1.2. (a) Symmetry axes of a single close-packed layer of spheres and (b) the minimum symmetry of a three-dimensional close packing of spheres (p. 752) | html | pdf |
  - Fig. 9.2.1.3. Voids in a close packing: (a) tetrahedral void; (b) tetrahedron formed by the centres of spheres; (c) octahedral void; (d) octahedron formed by the centres of spheres (p. 753) | html | pdf |
  - Fig. 9.2.1.4. Tetrahedral arrangement of Si and C atoms in the SiC-6H structure (p. 753) | html | pdf |
  - Fig. 9.2.1.5. The layer structure of CdI₂: small circles represent Cd ions and larger ones I ions (p. 754) | html | pdf |
  - Fig. 9.2.1.6. The primitive unit cell of the 2H close packing (p. 755) | html | pdf |
  - Fig. 9.2.1.7. A rhombohedral lattice (a₁, a₂, a₃) referred to hexagonal axes (A₁, A₂, C) (p. 755) | html | pdf |
  - Fig. 9.2.1.8. The relationship between the f.c.c. and the primitive rhombohedral unit cell of the c.c.p. structure (p. 756) | html | pdf |
  - Fig. 9.2.1.9. The a*−b* reciprocal-lattice net for close-packed layer stackings (p. 756) | html | pdf |
  - Fig. 9.2.2.1. Symmetry interpretation of close packings of equal spheres (p. 761) | html | pdf |
  - Fig. 9.2.2.2. Schematic representation of three structures belonging to the OD groupoid family P(1)m1|1 (p. 762) | html | pdf |
  - Fig. 9.2.2.3. Schematic examples of the three categories of OD structures consisting of equivalent layers (perpendicular to the plane of the drawing) (p. 764) | html | pdf |
  - Fig. 9.2.2.4. Schematic examples of the four categories of OD structures consisting of more than one kind of layer (perpendicular to the plane of the drawing) (p. 764) | html | pdf |
  - Fig. 9.2.2.5. Hierarchy of VC structures indicating the position of OD structures within it (p. 765) | html | pdf |
  - Fig. 9.2.2.6. (a) Tetrahedral sheet in a normal projection (p. 767) | html | pdf |
  - Fig. 9.2.2.7. Two possible combinations of one tetrahedral and one octahedral sheet (a) by shared apical O atoms, (b) by hydrogen bonds (side projection) (p. 767) | html | pdf |
  - Fig. 9.2.2.8. Combination of two adjacent tetrahedral sheets (a) in the mica group, (b) in the talc–pyrophyllite group (side projection) (p. 767) | html | pdf |
  - Fig. 9.2.2.9. The nine possible displacements in the structures of polytypes of phyllosilicates (p. 768) | html | pdf |
  - Fig. 9.2.2.10. The NFZ relations (a) for the pair tetrahedral sheet–homo-octahedral sheet (with shared apical O atoms), (b), (c) for the pair homo-octahedral sheet–tetrahedral sheet (by hydrogen bonds) (p. 768) | html | pdf |
  - Fig. 9.2.2.11. Stereopair showing the sequence of sheets in the structures of the serpentine–kaolin group (p. 769) | html | pdf |
  - Fig. 9.2.2.12. Stereopair showing the sequence of sheets in the structures of the mica group (p. 770) | html | pdf |
  - Fig. 9.2.2.13. Stereopair showing the sequence of sheets in the structures of the talc–pyrophyllite group (p. 770) | html | pdf |
  - Fig. 9.2.2.14. Stereopair showing the sequence of sheets in the structures of the chlorite–vermiculite group (chlorite-1M, courtesy of Zoltai & Stout, 1985) (p. 770) | html | pdf |
  - Fig. 9.2.2.15. Clinographic projection of the general scheme of a single-crystal diffraction pattern of hydrous phyllosilicates (p. 771) | html | pdf |
  - Fig. 9.2.2.16. Normal projection of the general scheme of a single-crystal diffraction pattern of hydrous phyllosilicates (p. 771) | html | pdf |
  - Fig. 9.2.2.17. The structure of stibivanite-2M (p. 771) | html | pdf |
  - Fig. 9.2.2.18. The two kinds of OD layers in the stibivanite family (p. 772) | html | pdf |
  - Fig. 9.2.2.19. The structure of stibivanite-2O (p. 772) | html | pdf |
  - Fig. 9.2.2.20. The structural principle of γ-Hg₃S₂Cl₂ (p. 772) | html | pdf |
- Tables
  - Table 9.2.1.1. Common close-packed metallic structures (p. 753) | html | pdf |
  - Table 9.2.1.2. List of SiC polytypes with known structures in order of increasing periodicity (p. 754) | html | pdf |
  - Table 9.2.1.3. Intrinsic fault configurations in the 6H (A₀B₁C₂A₃C₄B₅;. . .) structure (p. 758) | html | pdf |
  - Table 9.2.1.4. Intrinsic fault configurations in the 9R (A₀B₁A₂C₀A₁C₂B₀C₁B₂;. . .) structure (p. 759) | html | pdf |

Chapter 9.2. Layer stacking

Contents