Small-Angle Scattering

Small-Angle Scattering
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SMALL-ANGLE SCATTERING A comprehensive and timely volume covering contemporary research, practical techniques, and theoretical approaches to SAXS and SANS Small-Angle Scattering: Theory, Instrumentation, Data, and Applications provides authoritative coverage of both small-angle X-ray scattering (SAXS), small-angle neutron scattering (SANS) and grazing incidence small-angle scattering (GISAS) including GISAXS and GISANS. This single-volume resource offers readers an up-to-date view of the state of the field, including the theoretical foundations, experimental methods, and practical applications of small-angle scattering (SAS) techniques including laboratory and synchrotron SAXS and reactor/spallation SANS.Organized into six chapters, the text first describes basic theory, instrumentation, and data analysis. The following chapters contain in-depth discussion on various applications of SAXS and SANS and GISAXS and GISANS, and on specific techniques for investigating structure and order in soft materials, biomolecules, and inorganic and magnetic materials. Author Ian Hamley draws from his more than thirty years’ experience working with many systems, instruments, and types of small-angle scattering experiments across most European facilities to present the most complete introduction to the field available. This book:Presents uniquely broad coverage of practical and theoretical approaches to SAXS and SANSIncludes practical information on instrumentation and data analysisOffers useful examples and an accessible and concise presentation of topicsCovers new developments in the techniques of SAXS and SANS, including GISAXS and GISANS Small-Angle Scattering: Theory, Instrumentation, Data, and Applications is a valuable source of detailed information for researchers and postgraduate students in the field, as well as other researchers using X-ray and neutron scattering to investigate soft materials, other nanostructured materials and biomolecules such as proteins.

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Ian W. Hamley. Small-Angle Scattering

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Professor Ian Hamley's Book Publications

Small‐Angle Scattering. Theory, Instrumentation, Data, and Applications

Preface

1 Basic Theory. 1.1 INTRODUCTION

1.2 WAVENUMBER AND SCATTERING AMPLITUDE

1.3 INTENSITY FOR ANISOTROPIC AND ISOTROPIC SYSTEMS AND RELATIONSHIPS TO PAIR DISTANCE DISTRIBUTION AND AUTOCORRELATION FUNCTIONS. 1.3.1 General (Anisotropic) Scattering

1.3.2 Isotropic Scattering Systems

1.4 GUINIER APPROXIMATION

1.5 FORM AND STRUCTURE FACTORS

1.6.1 Analytical Expressions

1.6.2 Periodic Structures and Bragg Reflections

1.6.3 Partially Ordered Systems and Paracrystals

1.6.4 The Phase Problem

1.6.5 Fractal Structures

1.6.6 Microemulsions

1.6.7 Integral Equation Theories, Closures, and Structure Factors

1.7 FORM FACTORS. 1.7.1 Examples of Form Factor Expressions

1.7.2 Limiting Behaviours

1.7.3 Factoring Scattering from the Particle Cross‐Section

1.7.4 Effect of Polydispersity

1.8 FORM AND STRUCTURE FACTORS FOR POLYMERS

REFERENCES

2 Data Analysis. 2.1 INTRODUCTION

2.2 PRE-MEASUREMENT SAMPLE CONCENTRATION AND POLYDISPERSITY MEASUREMENTS

2.3 OVERVIEW: DATA REDUCTION PIPELINE

2.4 CORRECTIONS FOR SAMPLE TRANSMISSION AND OTHERS

2.5 BACKGROUND CORRECTIONS

2.6 DETECTOR CORRECTIONS, MASK FILES, AND INTEGRATION

2.7 ANISOTROPIC DATA

2.8 CALIBRATION OF Q SCALE

2.9 ABSOLUTE INTENSITY CALIBRATION

2.10 ABSORPTION

2.11 SMEARING EFFECTS

2.12 SOLUTION SAXS DATA CHECKS

2.13 POROD REGIME

2.14 KRATKY PLOTS

2.15 ZIMM PLOTS

2.16 INVARIANT AND RELATED INFORMATION CONTENT FROM SAS MEASUREMENTS

2.17 FORM FACTOR FITTING

2.18 SAS SOFTWARE

REFERENCES

3 Instrumentation for SAXS and SANS. 3.1 INTRODUCTION

3.2 SYNCHROTRON FACILITIES

3.3 NEUTRON SCATTERING FACILITIES

3.4 SYNCHROTRON SAXS INSTRUMENTATION

3.5 LABORATORY SAXS INSTRUMENTATION

3.6 SANS INSTRUMENTATION

3.7 ULTRA‐SMALL‐ANGLE SCATTERING INSTRUMENTS

3.8 STANDARD SAMPLE ENVIRONMENTS – SAXS

3.9 STANDARD SAMPLE ENVIRONMENTS – SANS

3.10 STANDARD SAMPLE ENVIRONMENTS – GISAS

3.11 MICROFOCUS SAXS AND WAXS

3.12.1 Stopped Flow

3.12.2 Rheology

Couette Cells

Plate Rheometers

Continuous Flow

Other Flow Systems

3.12.3 Tensile Deformation

3.12.4 Pressure Cells

3.12.5 Temperature Jump

3.12.6 Microfluidic Devices

3.12.7 Electrical and Magnetic Fields

3.12.8 Controlled Humidity

3.12.9 Gas‐Phase SAS

3.12.10 Simultaneous Spectroscopic Measurements

3.12.11 Simultaneous SAXS and Light Scattering

REFERENCES

4 Applications and Specifics of SAXS. 4.1 INTRODUCTION

4.2 PRODUCTION OF X‐RAYS

4.3 SCATTERING PROCESSES FOR X‐RAYS

4.4 ATOMIC SCATTERING FACTORS

4.5 ANOMALOUS SAXS AND SAXS CONTRAST VARIATION

4.6 BIOSAXS: SOLUTION SAXS FROM BIOMACROMOLECULES, ESPECIALLY PROTEINS

4.6.1 Determination of Pair Distance Distribution Function

4.6.2 Reconstruction of SAXS Profiles from Known Structures (pdb Files)

4.6.3 Particle Shape Envelope Reconstruction

4.6.4 Dummy Atom Models for SAXS Profile Reconstruction

4.7 SOLUTION SAXS FROM MULTI‐DOMAIN AND FLEXIBLE MACROMOLECULES

4.8 SOLUTION SAXS FROM MULTI‐COMPONENT SYSTEMS – BIOMOLECULAR ASSEMBLIES

4.9 PROTEIN STRUCTURE FACTOR SAXS

4.10 SAXS (AND WAXS) STUDIES OF SOFT MATTER SYSTEMS

4.11 SAXS AND WAXS FROM SEMICRYSTALLINE POLYMERS

4.12 LIPID PHASES: ELECTRON DENSITY PROFILE RECONSTRUCTION

4.13 SAXS STUDIES OF PEPTIDE AND LIPOPEPTIDE ASSEMBLIES

4.14 SAXS STUDIES OF THE STRUCTURE FACTOR OF COLLOIDS

4.15 SAXS AND SAXS/WAXS STUDIES OF BIOMATERIALS

4.16 FAST TIME‐RESOLVED SAXS

REFERENCES

5 Applications and Specifics of SANS. 5.1 INTRODUCTION

5.2 PRODUCTION OF NEUTRONS

5.3 DIFFERENTIAL SCATTERING CROSS‐SECTION

5.4 SCATTERING LENGTHS

5.5 SANS DATA REDUCTION CONSIDERATIONS

5.5.1 Resolution Function

5.5.2 Multiple Scattering

5.5.3 Inelastic Scattering

5.6 CONTRAST VARIATION. 5.6.1 Introduction

5.6.2 Contrast Variation Studies on Polymers

5.6.3 Contrast Variation Studies on Microemulsions

5.6.4 Contrast Variation Studies on Lipid Mixtures

5.6.5 Contrast Variation Studies of Proteins and Protein Complexes

5.7 SINGLE MOLECULE SCATTERING FROM MIXTURES OF PROTONATED AND DEUTERATED MOLECULES

5.8 SANS FROM LABELLED POLYMERS

5.9 KINETIC SANS USING LABELLED MIXTURES

5.10 ULTRA‐SMALL‐ANGLE SANS (USANS)

5.11 SANS AND USANS (AND SAXS AND USAXS) STUDIES ON POROUS STRUCTURES

5.12 SANS ON MAGNETIC MATERIALS. 5.12.1 Unpolarized Neutron Beam

5.12.2 Polarized Neutron Beams

5.13 SPIN‐ECHO SANS (SESANS)

5.14 COMPLEMENTARY SAXS AND SANS

REFERENCES

6 Grazing‐Incidence Small‐Angle Scattering. 6.1 INTRODUCTION

6.2 BASIC QUANTITIES: DEFINITION OF ANGLES, REFRACTIVE INDEX, AND SCATTERING LENGTH DENSITY

6.3 CHARACTERISTIC SCANS. 6.3.1 Specular Reflectivity (z Scan)

6.3.2 Other Scans

6.4 THE DISTORTED WAVE BORN APPROXIMATION

6.5 DATA ANALYSIS

6.6 EXPERIMENTAL EXAMPLES OF GISAS DATA

6.6.1 Block Copolymer Films

6.6.2 Nanoparticles

6.6.3 Kinetic and In situ Studies

6.7 EXPERIMENTAL EXAMPLES OF GIWAXS/GIXD DATA

REFERENCES

Index

WILEY END USER LICENSE AGREEMENT

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Authored

The Physics of Block Copolymers

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(1.10)

(1.18)

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