www.msm.cam.ac.uk/phase-trans/teaching .html Crystallography Lecture notes Many other things
Jan 01, 2016
www.msm.cam.ac.uk/phase-trans/teaching.html
Crystallography
Lecture notes
Many other things
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
Bravais Lattices• Triclinic P• Monoclinic P & C
• Orthorhombic P, C, I & F
• Tetragonal P & I• Hexagonal• Trigonal P
• Cubic P, F & I
1.61.41.21.00.8-65
-55
-45
-35
Normalised volume
Diamond cubicCubic-P
Hexagonal-P
b.c.cc.c.ph.c.p
Coh
esiv
e en
ergy
(eV
/ato
m)
Paxton et al. (1990)
Pure iron
Amorphous - homogeneous, isotropic
Crystals - long range order, anisotropic
Crystals - solid or liquid
Crystals - arbitrary shapes
Polycrystals
Lattice, lattice points
Unit cell, space filling
Primitive cell, lattice vectors
Bravais lattices
Directions, planes
Weiss zone rule
Symmetry
Crystal structure
Point group symmetry
Point group symbols
Examples
Water and sulphur tetrafluoride have same point symmetry and hence same number of vibration modes - similar spectra