Crystallography Introduction and point groups Stereographic projections Low

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Crystallography Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and

Crystallography Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships Martensitic transformations H. K. D. H. Bhadeshia

Crystal structure: lattice+motif Brass, diamond, fluorite Order hardening, Ni superalloys Rotation axes, mirror planes

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

deformation of single crystals Schmid and Boas crystal axes sample axes

properties as a function of sample axes

properties as a function of sample axes

Orientation of grains in polycrystalline sample relative to sample axes

Orientation of grains in polycrystalline sample relative to sample axes

Diffraction phenomena

Diffraction phenomena

sphere great circles: diameter equal to that of sphere

sphere great circles: diameter equal to that of sphere

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

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

To represent angles and planes 001 010 100

To represent angles and planes 001 010 100

(north) 001 010 100 (south) Representing a plane normal

(north) 001 010 100 (south) Representing a plane normal

(north) 001 010 100 (south) Representing a plane normal

(north) 001 010 100 (south) Representing a plane normal

(north) 001 010 100 (south) Representing a plane normal

(north) 001 010 100 (south) Representing a plane normal

Wulff net

Wulff net

Using small circles • To locate a pole at angles 1 from p 1

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

Angle between two planes

Cubic Symmetry

Cubic Symmetry

Cubic symmetry

Cubic symmetry

Full cubic stereogram

Full cubic stereogram

2 equivalent to mirror

2 equivalent to mirror

Crystallography Introduction and point groups Stereographic projections LowCrystallography Introduction and point groups Stereographic projections Low
Crystallography Introduction and point groups Stereographic projections LowCrystallography Introduction and point groups Stereographic projections Low
Crystallography Introduction and point groups Stereographic projections LowCrystallography Introduction and point groups Stereographic projections Low
Crystallography Introduction and point groups Stereographic projections LowCrystallography Introduction and point groups Stereographic projections Low
Crystallography Introduction and point groups Stereographic projections LowCrystallography Introduction and point groups Stereographic projections Low
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