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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. 180° rotation about horizontal axis. Invert rotated image.
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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
Invert rotated image mirror + =
2 equivalent to mirror
deformation of single crystals Schmid and Boas crystal axes sample axes
Orientation of grains in polycrystalline sample relative to sample axes
2 equivalent to mirror
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.