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Crystallography: Introduction to Point Groups and Stereographic Projections

Learn about the basics of crystallography, including point groups and stereographic projections. Explore topics such as low symmetry systems, space groups, deformation and texture, and martensitic transformations. Understand crystal structures, brass, diamond, and fluorite, as well as order hardening and Ni superalloys. Discover rotation axes, mirror planes, and screw axes. Gain insight into the point group symmetry of water and shapes. Learn about deformation notation in single crystals, crystal axes, and diffraction phenomena.

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Crystallography: Introduction to Point Groups and Stereographic Projections

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

  2. Crystal structure: lattice+motif Brass, diamond, fluorite Order hardening, Ni superalloys Rotation axes, mirror planes Screw axes, glide planes Point group symmetry of water Point group symmetry of shapes Notation

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

  4. properties as a function of sample axes

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

  6. Diffraction phenomena

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

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

  9. 001 To represent angles and planes 010 100

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

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

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

  13. Wulff net

  14. Using small circles • To locate a pole at angles 1 from p1 and 2 from p2 draw the two small circles with angular centres on the two poles. • Solutions at intersections.

  15. Angle between two planes

  16. Cubic Symmetry

  17. Cubic symmetry

  18. Full cubic stereogram

  19. 2 equivalent to mirror

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