Editors: Qiuzi Cong , Xiang Yu, Li He

Multifunctional Two- and Three-Dimensional Polycrystalline X-Ray Diffractometry

Special Offer (PDF + Printed Copy): US $106
Printed Copy: US $107
ISBN: 978-1-60805-625-5 (Print)
ISBN: 978-1-60805-076-5 (Online)
Year of Publication: 2011
DOI: 10.2174/97816080507651110101

Introduction

A novel X-ray diffraction (XRD) theory is intensively revealed in this book. The theory will extend present XRD view from one dimension to two and three dimensions, enabling readers to see the invisible characteristics inside materials. The two-dimension (2D) theory involves two angular variables of the Bragg angle Θ and the angle α, introduced to show the location of sample with respect to incident X-ray beam. Such variables are used to compose a set of general mathematical models, which include a general diffraction intensity equation, an azimuth-angle equation and a common scan mode, as well as the Bragg equation, for both of the surface-and transmission-reflection treatments. This book stresses upon the X-ray analyses for natural and synthetic materials. This book is dedicated to create a bridge between basic texts and specialist works and should be helpful to scholars studying XRD theory.

Indexed in: Chemical Abstracts, EBSCO.

Foreword

- Pp. i
Yan-Bin Wang
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Preface

- Pp. ii
Cong Qiuzi, Yu Xiang and He Li
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Contributors

- Pp. iii
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Essential Properties of X-Rays

- Pp. 1-7 (7)
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Knowledge of Crystal Structure

- Pp. 8-16 (9)
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Bragg’s Law and Multifunctional 2D X-Ray Diffractometry

- Pp. 17-33 (17)
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Fundamentals of X-Ray Phase Analysis

- Pp. 34-41 (8)
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Qualitative Phase Analysis

- Pp. 42-52 (11)
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Quantitative Phase Analysis

- Pp. 53-63 (11)
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Fundamentals of 2D X-Ray Diffraction Theory

- Pp. 64-73 (10)
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Depth/Azimuth-Resolved Multiple-XRD Patterns for Nanomaterials

- Pp. 74-83 (10)
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Residual Stresses/Strains Analysis

- Pp. 84-96 (13)
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Modified Scherrer Equation for Small Crystallites

- Pp. 97-104 (8)
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Weighted-Strain-Breadth Equation for Imperfect Materials

- Pp. 105-111 (7)
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Evaluation of Instrument Broadening

- Pp. 112-117 (6)
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Principle of Superposition of Profiles

- Pp. 118-126 (9)
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Features of 3D X-Ray Diffractometry

- Pp. 127-138 (12)
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Demonstration of Resonance Effect by Bragg's Law

- Pp. 139-149 (11)
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Mass Absorption Coefficient and Density of the Element

- Pp. 150-151 (2)
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List of Principal Symbols

- Pp. 152-153 (2)
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Fundamental Physics Constants

- Pp. 154
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Index

- Pp. 155-157 (3)
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