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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 H. K. D. H. Bhadeshia Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships Martensitic transformations
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
deformation of single crystals Schmid and Boas crystal axes sample axes
Orientation of grains in polycrystalline sample relative to sample axes
sphere sphere great circles: diameter equal to that of sphere
sphere small circles: diameter less than that of sphere small circle sphere small circle
001 To represent angles and planes 010 100
(north) 001 Representing a plane normal 010 100 (south)
(north) 001 Representing a plane normal 010 100 (south)
(north) 001 Representing a plane normal 010 100 (south)
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.
2 equivalent to mirror