Crystallography and Surface Structure (PDF)

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

Klaus Hermann is a research group leader at the Fritz-Haber Institute and staff member of the Physics department of the Free University Berlin (Germany). He obtained a PhD in Physics from the University Clausthal (Germany), worked as postdoc in Mexico and the USA before being appointed Professor at the University Clausthal. He was visiting professor in the USA, Austria, Poland, Spain and in Hong Kong. Klaus Hermann has (co-)authored 150 scientific publications, two books, two scientific movies, and different software projects on various subjects in surface science, catalysis, quantum chemistry, and computer science. He is co-author of the NIST Surface Structure Database.
http://www.fhi-berlin.mpg.de/th/member/hermann_k.html

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