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Elementary Crystallography

Elementary Crystallography. Or, driving yourself crazy. Definition of a Crystal.

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Elementary Crystallography

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  1. Elementary Crystallography Or, driving yourself crazy

  2. Definition of a Crystal A crystal or crystalline solid is a solid material, whose constituent atoms, molecules, or ions are arranged in an orderly repeating pattern extending in all three spatial dimensions. The scientific study of crystals and crystal formation is crystallography

  3. Definition of a Unit Cell For any given lattice, a unit cell can be defined as the smallest portion of the lattice that can be repeated indefinitely to form it. A lattice is defined as a pattern that repeats a motif by repeated translations through an interval t.

  4. Escher 2d lattice Find the unit cell

  5. Symmetry Operations 1. Translation 2. Rotation 3. Reflection 4. Inversion 5. Glide

  6. Translation (t)

  7. Rotation

  8. What kind of rotation is this?

  9. Rotation Nomenclature A2 2-fold A3 3-fold A4 4-fold A6 6-fold

  10. Reflection (m)

  11. Inversion (i)

  12. Glide

  13. The previous were examples in 2 dimentions What happens in 3D We will look at a few models

  14. Octohedron

  15. Tetrahedron

  16. Compound operations 1. screw axis t plus rotation 2. Glide plane t plus reflection 3. Roto-inversion (this is where we have fun)

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