Introduction and point groups

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Introduction and point groups Stereographic
projections Low symmetry systems Space
groups Deformation and texture Interfaces,
orientation relationships Martensitic
transformations
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180 rotation about horizontal axis
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Invert rotated image
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Invert rotated image
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• equivalent to mirror

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deformation of single crystals
Schmid and Boas
crystal axes
sample axes
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properties as a function of sample axes
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Orientation of grains in polycrystalline sample
relative to sample axes
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Diffraction phenomena
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• equivalent to mirror

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sphere
sphere
great circles diameter equal to that of sphere
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sphere
small circles diameter less than that of sphere
small circle
sphere
small circle
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• To represent angles and planes

001
010
100
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(north)
001
010
100

• Representing a plane normal

(south)
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(north)
001
010
100

• Representing a plane normal

(south)
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Cubic stereogram
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(north)
001
010
100

• Representing a plane normal

(south)
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Wulff net
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Wulff net
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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.

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Angle between two planes
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Cubic Symmetry
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Cubic symmetry
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Full cubic stereogram