Crystallography and Surface Structure

1. Introduction
2. Bulk crystals, 3-dimensional lattices
2.1. Basic definitions
2.2. Representation of bulk lattices
2.3. Periodicity cells of lattices
2.4. Lattice symmetry
2.5. Neighbor shells
2.6. Quasicrystals
Exercises
3. Crystal layers, 2-dimensional lattices
3.1. Basic definitions, Miller indices
3.2. Reciprocal lattice
3.3. Netplane-adapted lattice vectors
3.4. Symmetrically appropriate lattice vectors, Minkowski reduction
3.5. Miller indices for cubic lattices
3.6. Alternative definition of Miller indices, hexagonal Miller-Bravais indices
3.7. Symmetry properties of netplanes
3.8 Crystal systems and Bravais lattices in two dimensions
3.9 Crystallographic classification of netplanes
Exercises
4. Ideal single crystal surfaces
4.1. Basic definitions, termination
4.2. Morphology of surfaces, stepped and kinked surfaces
4.3. Miller index decomposition
4.4. Chiral surfaces
Exercises
5. Real crystal surfaces
5.1. Surface relaxation
5.2. Surface reconstruction
5.3. Facetting
Exercises
6. Adsorbate layers
6.1. Definition and classification
6.2. Wood notation of surface geometry
6.3. Symmetry domain formation
Exercises
7. Experimental analysis of real crystal surfaces
7.1. Experimental methods
7.2. The NIST Surface Structure Database (SSD)
Exercises
8. Nanotubes
8.1. Basic definition
8.2. Nanotubes and symmetry
8.3. Complex nanotubes, examples
Exercises
Appendices:
A Mathematics of the Wood notation
B Mathematics of the Minkowski reduction
C Some details of number theory
D Some details of vector calculus and linear algebra
E Parameter tables of crystals
F Relevant websites