Handbook of Crystallography

For Electron Microscopists and Others

Paperback Engels 2011 9781461277767
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Samenvatting

This book resulted from a series of frustrations. Analytical electron microscopy requires exactly what its name implies: quantitative information to conduct an analysis. The frustrations arose when I started hunting for specific forms of equations in a form understandable to a non-crystaHographer, for definitions of subtle concepts related to crystallography, for intelligible interpretations of space group symbols and their significance. What I frequently discovered was that such information was buried in a giant tome and couched in terms familiar to crystallographers but not to electron microscopists in general, or it was located in an old reference not available in my library, or it was found in an out-of-print book, or it was in a Russian book no longer available, etc. So to minimize the frustrations, I started a notebook containing the details, particularly after I had found forms of equations useful for quick calculations or equations in a form useful for proving, doing, or extending calculations found in a reference. The resulting notebook grew to a respectable size, requiring some organizing of the contents. Finally, the size became large enough, and has proven useful enough, to produce the notebook as a book.

Specificaties

ISBN13:9781461277767
Taal:Engels
Bindwijze:paperback
Aantal pagina's:210
Uitgever:Springer New York
Druk:0

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Inhoudsopgave

1. Definitions and Mathematics.- 1.1. Definitions.- 1.2. Vector Operations.- 1.2.1. Dot and cross products.- 1.3. Basis Vectors.- 1.4. Miller Indices (Plane Indices).- 1.5. Direction Indices.- 1.6. Permutation of Indices.- 1.7. The Direct Lattice.- 1.7.1. Basis vectors of the direct lattice.- 1.7.2. Differentiation of the lattice from the structure.- 1.8. Fundamentals of the Reciprocal Lattice.- 2. Defining Vectors for Various Crystal Systems.- 2.1. Face-Centered Cubic.- 2.1.1. Conversion of primitive cell to FCC.- 2.1.2. Other possibilities.- 2.2. Body-Centered Cubic.- 2.3. Hexagonal Close Packed.- 2.4. End-Centered (Base-Centered).- 2.5. Simple Cubic.- 3. Diffraction Pattern Analysis.- 3.1. Introduction.- 3.2. Errors in Measurements.- 3.2.1. Measurements on the emulsion.- 3.2.2. Camera constant equation approximation.- 3.2.3. Distortions in patterns.- 3.2.4. Statistics and error.- 3.3. Analysis of Patterns.- 3.3.1. Introduction.- 3.3.2. Indexing conventions.- 3.3.3. Methods.- 3.3.3.1. Ring patterns.- 3.3.3.2. Spot patterns.- 3.4. StructureFactor.- 3.5. Ratio Tables.- 4. Packing Fraction and Stacking Sequences.- 4.1. Packing Fraction.- 4.1.1. Simple cubic.- 4.1.2. Face-centered cubic.- 4.1.3. Body-centered cubic.- 4.1.4. Hexagonal close packed.- 4.2. Stacking Sequences.- 4.2.1. Simple cubic.- 4.2.2. Body-centered cubic.- 4.2.3. Face-centered cubic.- 4.2.4. Hexagonal close packed.- 4.3. Interstitial Positions.- 4.3.1. Face-centered cubic.- 4.3.2. Body-centered cubic.- 4.3.3. Hexagonal close packed.- 5. Detailed Equations for Various Crystal Systems.- 5.1. General Equations Applicable to Any System.- 5.2. Cubic System.- 5.3. Tetragonal System.- 5.4. Orthorhombic System.- 5.5. Monoclinic System (b axis unique).- 5.6. Triclinic System.- 5.7. Trigonal System.- 5.7.1. Basis vectors.- 5.7.2. Various equations.- 5.8. Hexagonal System.- 6. Conversion Formulas.- 6.1. Introduction.- 6.2. BCC to Orthorhombic.- 6.3. hcp to Orthorhombic.- 6.4. BCC to hcp.- 6.5. FCT to BCT and BCT to FCT Transformation.- 6.5.1. FCT to BCT.- 6.5.2. BCT to FCT.- 6.6. Monoclinic Nonprimitive to Primitive Transformation.- 6.7. Rhombohedral to HCP.- 6.8. Some Orientation Relationships.- 6.9. Some Ordered Structures.- 7. Slip Systems.- 7.1. Face-Centered Cubic.- 7.2. Body-Centered Cubic.- 7.3. Hexagonal Close Packed.- 7.4. Miscellaneous Definitions.- 8. Projections.- 8.1. Introduction.- 8.2. Direct Lattice Projections.- 8.3. Reciprocal Space Projections.- 8.4. The Stereographic Projection.- 8.5. Grid Projections.- 9. Structure Symbols.- 9.1. Crystal Designations.- 9.1.1. Introduction.- 9.1.2. Equivalent points.- 9.2. Strukturbericht Symbols.- 9.3. Pearson Symbols.- 9.4. Symmetry Symbols.- 9.4.1. Operational definitions.- 9.4.2. Macroscopic symmetry elements.- 9.4.3. Space group symbols.- 9.4.4. International symbols.- 9.4.5. Schoenflies symbol.- 9.4.6. International or Hermann-Mauguin symbol.- 9.4.7. Jagodzinski-Wyckoff notation.- 9.4.8. Ramsdell notation.- 9.4.9. Zhdanov notation.- 10. Convergent Beam Electron Diffraction.- 10.1. Introduction.- 10.2. Problems with Obtaining and Interpreting the Patterns.- 10.2.1. Instrument and specimen related problems.- 10.2.2. Recording the pattern.- 10.2.3. Interpretation.- 10.3. Zero and Higher Order Laue Zones.- 10.4. Lattice Parameter Along the Zone Axis.- 10.5. Higher Order Laue Zone Lines in Diffraction Discs.- 10.6. Symmetry Identification.- 10.6.1. Some definitions.- 10.6.2. Point and space group determination.- 10.7. Thickness Measurement Using Higher Order Laue Zone Lines in a Diffraction Disc.- 10.8. Indexing Holz Patterns.- 10.9. Construction of the Holz Pattern and Identification of Planes in the Holz Ring.- 10.10. Rings in Convergent Beam Diffraction.- 10.11. Interpretation of hcp CBED Ring Patterns.- 11. Miscellaneous Tables and Data.- 11.1. Mendeleev Number and Chemical Scale.- 11.2. Machlin Classification of Some Intermetallics.- 11.3. Schlafli Symbols.- 11.4. Fourier Series and Transforms.- 11.4.1. Introduction.- 11.4.2. Fourier series.- 11.4.3. Fourier transforms.- 11.4.4. Crystal structures and Fourier transforms.- 12. Icosahedral Structures and Patteros.- 12.1. Definitions.- 12.1.1. Golden mean.- 12.1.2. Icosahedron.- 12.2. Axes.- 12.3. Simple Projection Examples.- 12.4. Diffraction Patterns.- 13. Dislocations.- 13.1. Definitions.- 13.2. Image Contrast of Dislocations.- 13.3. Analysis of Burger’s Vector.- 13.4. Thompson Tetrahedron for Face Centered Cubic.- 13.5. Partials.- 13.6. Twins.- References.

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