Introduction and point groups Stereographic projections Low symmetry systems Space groups

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

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

small circles: diameter less than that of sphere

small circle

sphere

To represent angles and planes

Representing a plane normal

(north)

(south)

(north)

(south)

Cubic stereogram

(north)

(south)

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

Introduction and point groups Stereographic projections Low symmetry systems Space groups

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