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
180° rotation about horizontal axis
Invert rotated image
Invert rotated image
mirror+ =
2 equivalent to mirror
deformation of single crystals
crystal
axessample axes
Schmid and Boas
properties as a function of sample axes
Orientation of grains in polycrystalline sample relative to sample axes
Diffraction phenomena
2 equivalent to mirror
great circles: diameter equal to that of sphere
sphere
sphere
small circles: diameter less than that of sphere
small circle
small circle
sphere
sphere
To represent angles and planes
010
100
001
Representing a plane normal
010
100
001
(north)
(south)
Representing a plane normal
010
100
001
(north)
(south)
Cubic stereogram
Representing a plane normal
010
100
001
(north)
(south)
Wulff net
Wulff net
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.
Angle between two planes
Cubic Symmetry
Cubic symmetry
Full cubic stereogram
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