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Introduction and point groups Stereographic projections Low symmetry systems Space groups

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. Introduction. Form. Anisotropy. Ag. Mo. Polycrystals.

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Introduction and point groups Stereographic projections Low symmetry systems Space groups

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  1. 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

  2. Introduction

  3. Form

  4. Anisotropy Ag Mo

  5. Polycrystals

  6. The Lattice

  7. Centre of symmetry and inversion

  8. Bravais Lattices • Triclinic P • Monoclinic P & C • Orthorhombic P, C, I & F • Tetragonal P & I • Hexagonal • Trigonal P • Cubic P, F & I

  9. Bravais Lattices

  10. 2D lattices

  11. 1/2 1/2 1/2 1/2 Crystal Structure

  12. lattice + motif = structure primitive cubic lattice motif = Cu at 0,0,0 Zn at 1/2, 1/2, 1/2

  13. 1/4 1/4 1/4 1/4 1/4 3/4 3/4 3/4 3/4 Lattice: face-centred cubic Motif: C at 0,0,0 C at 1/4,1/4,1/4

  14. 1/4 1/4 3/4 3/4

  15. 3/4 1/4 1/4 3/4 Lattice: face-centred cubic Motif: Zn at 0,0,0 S at 1/4,1/4,1/4

  16. fluorite

  17. Point groups 2m

  18. Water and sulphur tetrafluoride have same point symmetry and hence same number of vibration modes - similar spectra

  19. Gypsum 2/m

  20. Epsomite 222

  21. 2/m

  22. mm2

  23. 4/m mm or 4/mmm

  24. Weiss Law If a direction [uvw] lies in a plane (hkl) then uh+vk+wl = 0 [uvw] (hkl)

  25. z (110) y x z [110] y x

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