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

23. Centre of symmetry and inversion

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

27. Bravais Lattices

28. 2D lattices

29. Crystal Structure
1/2
1/2
1/2
1/2

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

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

34. 3/4
1/4
1/4
3/4

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

38. fluorite

41. Point groups 2m

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

43. Gypsum 2/m

44. Epsomite 222

45. 2/m

46. mm2

47. 4/m mm or 4/mmm

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

50. [110]
(110) x y z y x z