| Description |
1 online resource : illustrations |
| Series |
International Union of Crystallography book series: IUCr monographs on crystallography ; 29 |
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International Union of Crystallography monographs on crystallography ; 29
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| Contents |
Cover; Biological Small Angle Scattering; Copyright; Preface; Contents; Acknowledgments; Part 1. Introduction; 1. Introduction; Part 2. Theory of Small Angle Scattering; 2. Theoretical Background; 2.1 Introduction; 2.2 Scattering Basics; 2.3 Multi-Scatterer Systems: The Debye Equation; 2.4 The Pair Distance Distribution Function, P(r); 2.5 The Concept of Contrast in Solution Scattering; 2.6 Resolution and Information Content; 2.7 Summary; 3. Quantities Directly Measurable by Scattering; 3.1 Introduction; 3.2 Invariants; 3.2.1 Molecular Mass from Intensity at the Origin |
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3.2.2 Radius of Gyration Rg: Low Angular (Guinier) Region3.2.3 The Guinier Approximation; 3.2.4 The Porod Invariant, Q; 3.2.5 Particle Volume, V or Vp; 3.2.6 Maximum Particle Dimension, Dmax; 3.2.7 Correlation Length; 3.2.8 Remaining Invariants; 3.3 Global Characteristics of the I(q) Curve; 3.3.1 Intermediate Angular Region (or Shape Region); 3.3.2 The Porod Region; Net scattering comes primarily from surfaces; Asymptotic scattering varies as q-4; Particle surface area, S; Volume of correlation, Vc; 3.4 Comparison of Invariants; 3.5 The Kratky Plot Distinguishes Globularity and Flexibility |
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3.6 Summary4. Shape Reconstructions from Small Angle Scattering Data; 4.1 Calculating Scattering Profiles from Three-Dimensional Models; 4.1.1 Debye Equation; 4.1.2 Gaining a Feel for the Spherical Harmonic Function; 4.1.3 Spherical Harmonic Representation of Envelopes; 4.1.4 Expansion of the Structure Factor Equation in Spherical Harmonics; 4.1.5 Zernicke Polynomial Expansion; 4.1.6 Solvent Considerations; 4.2 Ab Initio Modeling; 4.2.1 Modeling by Simple Shapes; 4.2.2 Simple Model Examples; 4.2.3 Envelope Fitting Using Analytical Functions |
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4.2.4 Envelope Fitting Using the Sum of Simple Volumes4.3 Flexible Fitting; 4.4 Rigid Body Modeling; 4.5 Docking Algorithms; 4.6 Mixtures; 4.6.1 Principal Component Analysis and SVD; 4.7 Ensembles; 4.8 Hybrid Modeling; 4.9 Summary; Part 3. Practical Aspects of Small Angle Scattering; 5. Before the Beamtime; 5.1 Sample Production; 5.2 Buffer Choice and Matching; 5.3 Sample Optimization; 5.4 Transport of the Sample; 5.5 Practical Preparations before Data Collection; 5.6 Quality Control Checks; 5.7 Contrast Matching for X-Ray and Neutron Cases; 5.8 Summary; 6. Making the Best Use of Beamtime |
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6.1 Sample-to-Detector Distance6.2 Instrument Calibration; 6.3 Sample Concentration; 6.4 Number of Exposures/Exposure Time; 6.5 Image Integration; 6.6 Buffer Collection and Subtraction; 6.7 Initial Parameter Evaluation; 6.8 The Guinier Plot; 6.9 Estimating the Radius of Gyration, Rg; 6.10 Calculating the Pair Distance Distribution Function, P(r); 6.11 Estimating Forward Scattering, I(0), and Maximum Dimension, Dmax; 6.12 Assessing Flexibility; 6.13 Estimating Volume and Molecular Weight; 6.14 Evaluating Radiation Damage and Concentration Dependence |
| Summary |
Small angle solution scattering is now often applied to biological problems. When applied in appropriate circumstances with carefully structured questions, the technique can provide unique information not available from other techniques. This book offers understanding of the experiments with a simple and intuitive approach to the underlying theory |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from digital title page (viewed on November 13, 2018) |
| Subject |
Small-angle scattering.
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Biology -- Technique.
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SCIENCE -- Physics -- Quantum Theory.
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Biology -- Technique
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Small-angle scattering
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| Form |
Electronic book
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| Author |
Grant, Thomas D. (Staff scientist), author
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Snell, Edward H., author
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| ISBN |
9780191649899 |
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0191649899 |
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9780191749575 |
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0191749575 |
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