TY - BOOK AU - Sands,Donald TI - Introduction to crystallography SN - 0486678393 AV - QD905.2 .S26 1993 PY - 1993/// CY - New York PB - Dover KW - Crystallography N1 - Includes index; Preface; Chapter 1 Crystals and lattices; 1-1 Definition of a crystal; 1-2 Lattice points; 1-3 Unit cells; 1-4 Fractional coordinates; 1-5 Unit cell calculations; 1-6 Primitive and centered cells; Chapter 2 Symmetry; 2-1 Introduction; 2-2 Definition of symmetry; 2-3 Symmetry operations and elements of symmetry; 2-4 Rotation axes; 2-5 Mirror planes; 2-6 Identity; 2-7 Center of symmetry; 2-8 Improper rotation axes; 2-9 Point symmetry; 2-10 Combinations of symmetry elements; 2-11 Point groups; 2-12 Group multiplication table; 2-13 Point group nomenclature; 2-14 Determination of point groups; 2-15 Limitation on combinations of symmetry elements; Chapter 3 Crystal systems and geometry; 3-1 Classification of unit cells; 3-2 Restrictions imposed by symmetry on unit cell dimensions; 3-3 Crystal systems; 3-4 Limitations on symmetry in crystals; 3-5 Hermann-Mauguin notation; 3-6 Bravais lattices; 3-7 Distinction between trigonal and hexagonal systems; 3-8 Crystal planes and indices; 3-9 Law of rational indices; 3-10 Interplanar spacings; Chapter 4 Space groups and equivalent positions; 4-1 Translational symmetry; 4-2 Screw axes; 4-3 Glide planes; 4-4 Space groups; 4-5 "Relationship between space groups, point groups, and physical properties"; 4-6 Equivalent positions; 4-7 Special positions; 4-8 Space group tables in International Tables for X-ray Crystallography; 4-9 Examples of the use of space group tables; 4-10 Equivalent positions and the choice or origin; Chapter 5 X-ray diffraction; 5-1 Periodicity and structural information; 5-2 The diffraction grating; 5-3 Diffraction of X rays by crystals; 5-4 The Laue equations; 5-5 Rotating crystal method; 5-6 Bragg's law; 5-7 Generalization of Miller indices; 5-8 Weissenberg camera; 5-9 Buerger precession techniques; 5-10 Comparison of Weissenberg and precession techniques; 5-11 Information obtained from diffraction patterns; 5-12 Electron density function; 5-13 Fourier series; 5-14 Fourier expansion of electron density; 5-15 Intensities of diffraction spots; 5-16 The phase problem; 5-17 Calculation of structure factors; 5-18 Effect of thermal vibration; 5-19 Structure factors of centrosymmetric crystals; 5-20 Friedel's law; 5-21 Laue groups; 5-22 Structure factors of sodium chloride; 5-23 Extinctions due to glide planes; 5-24 Extinctions due to screw axes; Chapter 6 Determination of atomic positions; 6-1 Solutions of structure factor equations; 6-2 The Patterson function; 6-3 Heavy-atom methods; 6-4 Isomorphous replacement; 6-5 Superposition methods; 6-6 Inequalities; 6-7 Sayre-Cochran-Zachariasen relationship; 6-8 Hauptman-Karle methods; 6-9 Summary of phase-determining methods; 6-10 Refinement; Chapter 7 Some simple structures; 7-1 Close packing; 7-2 Cubic close packing; 7-3 Hexagonal close-packed structure; 7-4 Body-centered cubic; 7-5 Diamond structure; 7-6 Graphite structure; 7-7 Other elements; 7-8 Sodium chloride structure; 7-9 Cesium chloride structure; 7-10 Fluorite structure; 7-11 Rutile structure; 7-12 Zinc sulfide structure; 7-13 Zincite structure; 7-14 Other structures; Appendix 1 The 230 space groups; Appendix 2 The reciprocal lattice; Appendix 3 The powder method; Solutions to exercises; Index ER -