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Orientation relationships Metric tensor

Crystallography. H. K. D. H. Bhadeshia. Orientation relationships Metric tensor. coordinate transformation matrix derived by inspection. Kurdjumov-Sachs orientation. how do we derive the coordinate transformation?. (110) ferrite. (111) austenite. Kurdjumov-Sachs orientation. Y. . X.

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Orientation relationships Metric tensor

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  1. Crystallography H. K. D. H. Bhadeshia Orientation relationships Metric tensor

  2. coordinate transformation matrix derived by inspection

  3. Kurdjumov-Sachs orientation how do we derive the coordinate transformation?

  4. (110) ferrite (111) austenite

  5. Kurdjumov-Sachs orientation

  6. Y  X The Kurdjumov-Sachs Orientation Relationship

  7. Y  X

  8. Bagaryatski orientation relationship, cementite and ferrite

  9. Axis-Angle Pairs

  10. Symmetry related axis-angle pairs

  11. Weiss Zone Rule proven!

  12. generalised dot product express one vector in real space, other in reciprocal space

  13. to take a dot product between two vectors in any coordinate system, express one in the reciprocal basis and the other in real basis.

  14. The Metric Tensor

  15. Orthorhombic

  16. cementite

  17. cubic tetragonal orthorhombic hexagonal trigonal triclinic monoclinic

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