introduction and point groups stereographic projections low symmetry systems space groups
DESCRIPTION
Crystallography. H. K. D. H. Bhadeshia. Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships Martensitic transformations. 180° rotation about horizontal axis. Invert rotated image. - PowerPoint PPT PresentationTRANSCRIPT
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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
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180° rotation about horizontal axis
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Invert rotated image
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Invert rotated image
mirror+ =
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2 equivalent to mirror
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deformation of single crystals
crystal
axessample axes
Schmid and Boas
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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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2 equivalent to mirror
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great circles: diameter equal to that of sphere
sphere
sphere
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small circles: diameter less than that of sphere
small circle
small circle
sphere
sphere
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To represent angles and planes
010
100
001
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Representing a plane normal
010
100
001
(north)
(south)
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Representing a plane normal
010
100
001
(north)
(south)
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Cubic stereogram
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Representing a plane normal
010
100
001
(north)
(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