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Crystallography and Surface Structure: An Introduction for Surface Scientists and Nanoscientists / Edition 1

Crystallography and Surface Structure: An Introduction for Surface Scientists and Nanoscientists / Edition 1

by Klaus Hermann
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Product Details

ISBN-13: 9783527410125
Publisher: Wiley
Publication date: 03/22/2011
Pages: 298
Product dimensions: 7.10(w) x 9.70(h) x 0.80(d)

About the Author

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.

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Table of Contents


1 Introduction.

2 Bulk Crystals: Three-Dimensional Lattices.

2.1 Basic Definitions.

2.2 Representation of Bulk Crystals.

2.2.1 Alternative Descriptions Conserving the Lattice Representation.

2.2.2 Alternative Descriptions Affecting the Lattice Representation. Cubic, Hexagonal, and Trigonal Lattices. Superlattices. Linear Transformations of Lattices.

2.2.3 Centered Lattices.

2.3 Periodicity Cells of Lattices.

2.4 Lattice Symmetry.

2.5 Neighbor Shells.

2.6 Quasicrystals.

2.7 Exercises.

3 Crystal Layers: Two-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.

3.7.1 Centered Netplanes.

3.7.2 Inversion.

3.7.3 Rotation.

3.7.4 Mirror Lines.

3.7.5 Glide Reflection.

3.7.6 Symmetry Groups.

3.8 Crystal Systems and Bravais Lattices in Two Dimensions.

3.9 Crystallographic Classification of Netplanes.

3.9.1 Oblique Netplanes.

3.9.2 Primitive Rectangular Netplanes.

3.9.3 Centered Rectangular Netplanes.

3.9.4 Square Netplanes.

3.9.5 Hexagonal Netplanes.

3.9.6 Classification Overview.

3.10 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.

4.5 Exercises.

5 Real Crystal Surfaces.

5.1 Surface Relaxation.

5.2 Surface Reconstruction.

5.3 Faceting.

5.4 Exercises.

6 Adsorbate Layers.

6.1 Definition and Classification.

6.2 Wood Notation of Surface Geometry.

6.3 Symmetry and Domain Formation.

6.4 Exercises.

7 Experimental Analysis of Real Crystal Surfaces.

7.1 Experimental Methods.

7.2 The NIST Surface Structure Database.

7.3 Exercises.

8 Nanotubes.

8.1 Basic Definition.

8.2 Nanotubes and Symmetry.

8.3 Complex Nanotubes.

8.4 Exercises.

Appendix A: Mathematics of the Wood Notation.

Appendix B: Mathematics of the Minkowski Reduction.

Appendix C: Some Details of Number Theory.

C.1 Basic Definitions.

C.2 Euclid.s Algorithm.

C.3 Linear Diophantine Equations.

C.4 Quadratic Diophantine Equations.

Appendix D: Some Details of Vector Calculus and Linear Algebra.

Appendix E: Parameter Tables of Crystals.

Appendix F: Relevant Web Sites.


Glossary and Abbreviations.


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