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Full Description
Concise explanation of the logical development of basic crystallographic concepts. Extensive discussion of crystals and lattices, symmetry, crystal systems and geometry, x-ray diffraction, determination of atomic positions, and more. Well-chosen selection of problems, with answers. Ideal for crystallography course or as supplement to physical chemistry courses. 114 illustrations. 1969 edition.
Contents
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
