Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships.

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Presentation transcript:

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

mirror + =

2 equivalent to mirror

deformation of single crystals crystal axes sample 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

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

To represent angles and planes

Representing a plane normal (north) (south)

Representing a plane normal (north) (south)

Cubic stereogram

Representing a plane normal (north) (south)

Wulff net

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.

Angle between two planes

Cubic Symmetry

Cubic symmetry

Full cubic stereogram