Coordinates of Symmetry Elements and Space Groups

It is intended that the following course will give you a good understanding of the effects of symmetry elements and the use of different coordinate systems. This course is crucial to really understanding crystallography and symmetry.

  1. Understanding Coordinate Systems
  2. Effects of two-fold rotation axes (Orthorhombic)
  3. Effects of mirror planes (Orthorhombic)
  4. Effects of inversion centres (Orthorhombic)
  5. Effects of screw axes and glide planes (Orthorhombic)
  6. Effects of centring (Orthorhombic)
  7. Symmetry elements to space groups and vice versa (Orthorhombic)
  8. Derivation of unknown symmetry elements (Orthorhombic)
  9. Test your coordinate knowledge (Orthorhombic)
  10. Isomorphic Space Groups
  11. Other coordinate systems (Hexagonal, Monoclinic)
  12. Effects of higher rotation axes
  13. Effects of roto-inversion
  14. Understanding space group symbols of other crystal systems
  15. Wyckoff positions
  16. Supergroups and subgroups