1. Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships Martensitic transformations Crystallography H. K. D. H. Bhadeshia

2. 180° rotation about horizontal axis

3. Invert rotated image

4. mirror + =

5. 2 equivalent to mirror

7. deformation of single crystals crystal axes sample axes Schmid and Boas

8. properties as a function of sample axes

10. Orientation of grains in polycrystalline sample relative to sample axes

11. Diffraction phenomena

12. 2 equivalent to mirror

13. great circles: diameter equal to that of sphere sphere

14. small circles: diameter less than that of sphere small circle sphere

15. To represent angles and planes 010 100 001

16. Representing a plane normal 010 100 001 (north) (south)

17. Representing a plane normal 010 100 001 (north) (south)

18. Cubic stereogram

19. Representing a plane normal 010 100 001 (north) (south)

20. Wulff net

30. Using small circles To locate a pole at angles  1 from p 1 and  2 from p 2 draw the two small circles with angular centres on the two poles. Solutions at intersections.

31. Angle between two planes

32. Cubic Symmetry

33. Cubic symmetry

34. Full cubic stereogram