MSE306Chap1Crystallography-2

MSE306Chap1Crystallography-2 - Stereographic Projections...

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Stereographic Projections Concept: Reduce 3D information to 2D for presentation and calculation. All features reduced by 1 dimension Directions are represented by points. Planes are plotted as great circles or by their normal vectors (poles)
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Stereographic Projections
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Stereographic Projections Basic circle Upper hemisphere Back hemisphere
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Some Rules of Stereographic Projections Circles remain circles Great circles meet the basic circle at opposite ends of a diameter. If Small circles meet the basic circle, they do so at opposite ends of nondiameter chords. Angles can only be measured on great circles
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Stereographic Projections
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Stereographic Projections
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Stereographic Projections Planes are represented by great circles Example, plane containing the two directions above. The angle between directions can only be measured on great circles
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Stereographic Projections Planes are also represented by their “poles” The pole is the normal vector What is the angle between the pole above and the two directions shown?
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MSE306Chap1Crystallography-2 - Stereographic Projections...

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