Fundamentals of Crystallography and Diffraction

Revision sheet excerpt

Course Outline

  1. Fundamental notions of crystallography
  2. States of matter and crystal structures
  3. Unit cell and lattice
  4. Crystal systems and space groups
  5. Atomic positions and motifs
  6. Diffraction principles and Bragg law
  7. Diffractometer components and setup
  8. Diffractogram analysis and phase identification
  9. Quantitative and structural analysis
  10. Microstructure and texture analysis
  11. Experimental conditions and sample preparation

1. Fundamental notions of crystallography

Key Concepts & Definitions

  • Crystal structure: The arrangement of atoms or molecules within a crystal, characterized by a motif (group of atoms) and a lattice (periodic array of points). (source content)

  • Symmetry: The invariance of a crystal structure under certain operations, such as rotation or reflection, which define the crystal's symmetry elements. (implied from the study of symmetry and crystal systems)

  • Lattice parameters: The dimensions and angles defining the unit cell of a crystal, including lengths (a, b, c) and angles (α, β, γ). (from descriptions of unit cell and crystal systems)

  • Motif: A group of atoms or molecules associated with each lattice point, which, combined with the lattice, forms the crystal structure. (source content)

  • Bravais lattice: The 14 distinct three-dimensional periodic arrangements of points that describe all possible lattice types in crystals. (source content)

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Quiz preview

1. How many distinct three-dimensional Bravais lattices are there in crystallography?

2. What aspect of a crystal's internal structure primarily influences the diffraction pattern observed in X-ray experiments?

3. Which of the following chronological sequences correctly reflects the historical development in the classification of crystal structures?

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Flashcards preview

Crystal structure — definition?

Arrangement of atoms or molecules in a crystal.

Symmetry — role?

Defines invariance under specific operations, classifying crystal symmetry.

Lattice parameters — include?

Lengths (a, b, c) and angles (α, β, γ).

Motif — function?

Atomic group attached to each lattice point.

Bravais lattice — total types?

14 distinct periodic arrangements.

Atomic position — expressed?

Fractional coordinates within the unit cell.

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