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Physical Constants and Other Numerical Data | |
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Notation | |
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Crystal Morphology and Crystal Symmetry | |
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Introduction | |
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The Crystalline State | |
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Stereographic Projection | |
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External Symmetry of Crystals | |
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Bibliography | |
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Problems | |
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Lattices and Space-Group Theory | |
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Introduction | |
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Lattices | |
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Families of Planes and Interplanar Spacings | |
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Reciprocal Lattice-Geometrical Treatment | |
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Unit-Cell Transformation | |
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Rotational Symmetries of Lattices | |
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Space Groups | |
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Matrix Representation of Symmetry Operations | |
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Diffraction Symbols | |
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Bibliography | |
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Problems | |
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I X-rays, X-ray Diffraction, and Structure Factors II Intensities and Intensity Statistics | |
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X-rays, X-ray Diffraction, and Structure Factors | |
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Generation and Properties of X-rays | |
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X-ray Scattering | |
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Scattering by Regular Arrays of Atoms | |
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Reciprocal Lattice-Analytical Treatment | |
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Scattering by a Crystal Structure | |
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Using the Structure Factor Equation | |
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Limiting Conditions and Systematic Absences | |
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Practical Determination of Space Groups from Diffraction Data | |
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Intensities and Intensity Statistics | |
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Intensity Expressions and Factors Affecting Intensities | |
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Intensity Statistics | |
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Bibliography | |
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Problems | |
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I Optical and X-ray Examination of Crystals II Measurement of Intensity Data from Single Crystals | |
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Optical and X-ray Examination of Crystals | |
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Introduction | |
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Polarized Light | |
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Optical Classification of Crystals | |
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Single-Crystal X-ray Techniques | |
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Recognition of Crystal System | |
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Measurement of Intensity Data from Single Crystals | |
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Intensity Measurements on Photographs | |
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Single-Crystal X-ray Diffractometry | |
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Area Detectors (Position-Sensitive Detectors) | |
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Monochromators | |
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Focusing Mirrors | |
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Twinning | |
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Bibliography | |
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Problems | |
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Fourier Series and Fourier Transforms | |
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Image Formation and Focusing | |
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Fourier Series | |
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Fourier Series in X-ray Crystallography | |
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Holes and Atoms | |
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Generalized Fourier Transform | |
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Practice with Transforms | |
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Some General Properties of Transforms | |
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Convolution | |
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Structure Solution in Brief | |
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Bibliography | |
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Problems | |
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Fourier Techniques in X-ray Structure Determination | |
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Introduction | |
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Analysis of the Unit-Cell Contents | |
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Interpretation of Electron Density Distributions | |
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Methods of Solving the Phase Problem | |
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Anomalous Scattering | |
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Neutron Diffraction | |
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Bibliography | |
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Problems | |
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Direct Methods and Refinement | |
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Introduction | |
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Direct Methods of Phase Determination | |
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Patterson Search Methods | |
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Least-Squares Refinement | |
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Molecular Geometry | |
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Precision | |
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Correctness of a Structure Analysis | |
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Limitations of X-ray Structure Analysis | |
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Disorder in Single Crystals | |
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Computer Prediction of Crystal Structures | |
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Bibliography | |
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Problems | |
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Examples of Crystal Structure Determination | |
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Introduction | |
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Crystal Structure of 2-Bromobenzo[b]indeno[1,2-e]pyran | |
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Crystal Structure of Potassium 2-Hydroxy-3,4-dioxocyclobut-1-ene-1-olate Monohydrate KHSO | |
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Structure Analysis by X-ray and Neutron Diffraction | |
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Determination of an Intermediate Size Crystal Structure Using Direct Methods | |
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Concluding Remarks | |
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Bibliography | |
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Problems | |
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X-ray Structure Determination with Powders | |
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Introduction | |
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Basis of the Powder Method | |
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Data Collection | |
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Indexing Powder Patterns | |
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Extracting Integrated Intensities from a Powder Pattern | |
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Rietveld Refinement | |
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Examples of Solved Structures | |
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Powder Diffraction with Proteins | |
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Concluding Remarks | |
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Bibliography | |
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Problems | |
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Proteins and Macromolecular X-ray Analysis | |
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Introduction | |
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Crystallization of Proteins and Complexes for X-ray Analysis | |
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Crystal Mounting for X-ray Data Collection | |
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Macromolecular Crystallography | |
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Types of Fourier Synthesis for Protein Analysis | |
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Determination of the Phases for Protein Crystals | |
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Siras and MAD Phasing | |
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Use of Phase Information and Density Modification | |
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Macromolecular Structure Refinement and Solvent and Ligand Fitting | |
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Structure Validation: Final Checks | |
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Geometry Validation: Final Checks | |
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Bibliography | |
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Problems | |
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Computer-Aided Crystallography | |
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Introduction | |
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Derivation of Point Groups (EULR*) | |
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Point-Group Recognition (SYMM*) | |
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Structure Determination Simulation (XRAY*) | |
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Crystal Structure Analysis Problems | |
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General Crystal Structure and Other Programs | |
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Automatic Powder Indexing (ITO12*) | |
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Automatic Powder Structure Solving (ESPOIR*) | |
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Appendices | |
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Stereoviews and Crystal Models | |
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Analytical Geometry of Direction Cosines | |
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Schonflies' Symmetry Notation | |
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Rotation Matrices | |
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Spherical Trigonometry | |
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Trigonometrical Formulae | |
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Cartesian Coordinates | |
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The integral [function of superscript infinity subscript 0 (sin x)/x] dx | |
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Gamma Function | |
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Crystallographic Software | |
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Tutorial Solutions | |
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Index | |