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Table of Contents
Preface; Contents; Author Biography; Abbreviations; Chapter 1: Basic Definitions and Essential Concepts of Small-Angle Scattering; 1.1 Interaction of X-Rays and Neutrons with Matter; Scattering Length; 1.2 Scattering Vector and Scattering Cross Section; 1.3 Scattering Length Density and Contrast; 1.4 Absorption and Transmission of X-Ray and Neutron Beams; 1.5 Form and Structure Factors; 1.6 Complementarity of Neutron and X-Ray Scattering Techniques; References; Chapter 2: Radiation Sources; 2.1 Steady State Reactors; 2.2 Spallation Neutron Sources; 2.3 Photon Sources; References
Further ReadingChapter 3: Constant Flux and Time-of-Flight Instrumentation; 3.1 General Purpose SANS Instrument at HFIR, ORNL; 3.2 Extended Q SANS Instrument at SNS, ORNL; 3.3 Perfect Crystal USANS Instrument at NIST; 3.4 Time-of-Flight USANS at SNS; 3.5 SAXS and USAXS Instruments at APS, ANL; References; Further Reading; Chapter 4: Sample Environment; 4.1 Sample Cells for Ambient Conditions; 4.2 SANS High-Pressure Cells; 4.3 SAXS High-Pressure Cells; References; Further Reading; Chapter 5: Practical Aspects of Planning and Conducting SAS Experiments; 5.1 Applying for Beam Time
5.2 Choice of the Instrument Configuration5.3 Detector Sensitivity and Instrument Backgrounds; 5.4 Optimal Sample Thickness, Transmission, and Multiple Scattering; 5.5 Subtraction of the Sample Background; 5.6 Data Acquisition Time, Masking, and Radial Averaging; 5.7 Absolute Calibration; 5.8 Instrument Resolution; 5.9 Effective Thickness of Powder Samples; 5.10 Contrast Variation with Liquids and Gases; 5.11 Average Scattering Length Density of Multicomponent Samples; References; Further Reading; Chapter 6: Fundamentals of Data Analysis
6.1 Correlation Functions: Mathematical Form and Geometrical Meaning6.2 Scattering from Two-Phase Random Systems: The Porod Invariant; 6.3 Asymptotic Behavior: The Porod Law; 6.4 Radius of Gyration; 6.5 Asymptotic Behavior: The Guinier Approximation; 6.6 Structural Parameters of the Two-Phase Porous Medium; 6.7 Bridging the Asymptotic Behavior: The Unified Scattering Function; 6.8 Scattering from Fractal Systems and the Polydisperse Spherical Model; 6.8.1 Scattering from Mass, Surface, and Pore Fractals; 6.8.2 Polydisperse Spherical Model; 6.9 Beyond the Two-Phase Model
6.9.1 Partial Scattering Functions of Multiphase Systems6.9.2 Scattering Contrast and the Invariant of a Three-Phase System; 6.9.3 Oscillatory Deviations from the Porod Law; 6.10 Interrelation Between the Reciprocal and Real Space; References; Chapter 7: Structural Characterization of Porous Materials Using SAS; 7.1 Porous Media for Energy, Environmental, and Biomedical Applications; 7.2 Porous Silica; 7.2.1 Porous Vycor Glass; 7.2.2 Silica Aerogels; 7.2.3 Porous Fractal Silica; 7.2.4 Ordered Mesoporous Silica; 7.3 Porous Carbons; 7.3.1 Activated Carbons; 7.3.2 Glassy Carbon
Further ReadingChapter 3: Constant Flux and Time-of-Flight Instrumentation; 3.1 General Purpose SANS Instrument at HFIR, ORNL; 3.2 Extended Q SANS Instrument at SNS, ORNL; 3.3 Perfect Crystal USANS Instrument at NIST; 3.4 Time-of-Flight USANS at SNS; 3.5 SAXS and USAXS Instruments at APS, ANL; References; Further Reading; Chapter 4: Sample Environment; 4.1 Sample Cells for Ambient Conditions; 4.2 SANS High-Pressure Cells; 4.3 SAXS High-Pressure Cells; References; Further Reading; Chapter 5: Practical Aspects of Planning and Conducting SAS Experiments; 5.1 Applying for Beam Time
5.2 Choice of the Instrument Configuration5.3 Detector Sensitivity and Instrument Backgrounds; 5.4 Optimal Sample Thickness, Transmission, and Multiple Scattering; 5.5 Subtraction of the Sample Background; 5.6 Data Acquisition Time, Masking, and Radial Averaging; 5.7 Absolute Calibration; 5.8 Instrument Resolution; 5.9 Effective Thickness of Powder Samples; 5.10 Contrast Variation with Liquids and Gases; 5.11 Average Scattering Length Density of Multicomponent Samples; References; Further Reading; Chapter 6: Fundamentals of Data Analysis
6.1 Correlation Functions: Mathematical Form and Geometrical Meaning6.2 Scattering from Two-Phase Random Systems: The Porod Invariant; 6.3 Asymptotic Behavior: The Porod Law; 6.4 Radius of Gyration; 6.5 Asymptotic Behavior: The Guinier Approximation; 6.6 Structural Parameters of the Two-Phase Porous Medium; 6.7 Bridging the Asymptotic Behavior: The Unified Scattering Function; 6.8 Scattering from Fractal Systems and the Polydisperse Spherical Model; 6.8.1 Scattering from Mass, Surface, and Pore Fractals; 6.8.2 Polydisperse Spherical Model; 6.9 Beyond the Two-Phase Model
6.9.1 Partial Scattering Functions of Multiphase Systems6.9.2 Scattering Contrast and the Invariant of a Three-Phase System; 6.9.3 Oscillatory Deviations from the Porod Law; 6.10 Interrelation Between the Reciprocal and Real Space; References; Chapter 7: Structural Characterization of Porous Materials Using SAS; 7.1 Porous Media for Energy, Environmental, and Biomedical Applications; 7.2 Porous Silica; 7.2.1 Porous Vycor Glass; 7.2.2 Silica Aerogels; 7.2.3 Porous Fractal Silica; 7.2.4 Ordered Mesoporous Silica; 7.3 Porous Carbons; 7.3.1 Activated Carbons; 7.3.2 Glassy Carbon