The Laue Method
- 1st Edition - January 28, 1975
- Imprint: Academic Press
- Author: J.L. Amoros
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 4 1 2 1 6 8 - 3
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 4 0 7 6 - 8
The Laue Method demonstrates why and how the Laue method provides an easy vehicle for identification of crystalline species. The more important aspects of classical crystal theory… Read more
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Request a sales quoteThe Laue Method demonstrates why and how the Laue method provides an easy vehicle for identification of crystalline species. The more important aspects of classical crystal theory and projection methods (such as the stereographic, gnomonic and stereognomonic projections) are discussed. The subject matter of this book falls into two parts. After a brief historical introduction that considers early interpretation of Laue photographs and Laue's theory of diffraction by crystals, the first part provides, at an elementary level, a simple and compact treatment of the Laue method and the background needed to make use of it. The stereographic projection, gnomonic projection, stereognomonic projection, and crystallochemical analysis are covered here. The chapters that follow examine the Laue method on a higher level, paying particular attention to the polychromatic component, the cross ratio and its application in crystallography, and the indexing of Laue photographs. The reader is also introduced to the optics of the Laue method and the application of Laue photographs to the study of diffuse scattering. The book concludes with a very simple new interpretation of the Laue method. This book should appeal to both students and specialists who study crystals.
Preface
Chapter 1 Prologue
Historical Background
Early Interpretation of Laue Photographs
Laue's Theory of Diffraction by Crystals
Deduction of the Bragg Equation from the Laue Equations
Importance, Peculiarities, and Applications of the Laue Method
Significant Literature
Chapter 2 The Stereographic Projection
Projections in General
Perspective Projections
Basic Properties of the Stereographic Projection
Some Features of Crystallographic Problems
Basic Constructions
Aids to Using the Stereographic Projection
Example of the Use of the Stereographic Projection
Crystal Drawing
Summary
Notes on History
Significant Literature
Chapter 3 The Gnomonic Projection
Nature of the Gnomonic Projection
Indexing
Relation to the Reciprocal Lattice
Basic Constructions
Aids in Using the Gnomonic Projection
Crystal Drawing
Some Relations between the Gnomonic and Stereographic Projections
Summary
History
Significant Literature
Chapter 4 The Stereognomonic Projection
Background
Transformation between Stereographic and Gnomonic Projections
The Combination of Stereographic and Gnomonic Projections
Significant Literature
Chapter 5 The Conventional Laue Method
Experimental Conditions
Reflection Characteristics
General Geometry
Interpretation of Reflections
Determination of the Reciprocal Lattice
Application to the Study of Thermal Motion
Appraisal of the Laue Method
Notes on History
Significant Literature
Chapter 6 Symmetry Determination with the Aid of Laue Photographs
Friedel Symmetry
The Symmetry of the Laue Photograph
The Symmetry of the Cylindrical Laue Photograph
Significant Literature
Chapter 7 Crystallochemical Analysis
Background
Appraisal of the Powder Method
Single-Crystal X-Ray Methods of Identification
Advantages of Using the Laue Method as a Source of Data for Crystallochemical Analysis
Data Furnished by the Laue Method
Identification
Significant Literature
Chapter 8 Planes and Zones
Basic Crystallographic Relations
The Normal Pattern of the Projection
Interpretation of the Symmetry from Certain Features of a Laue Photograph
Axial Ratio and the Crystal Lattice
Classical Treatment of the Crystal Systems
Significant Literature
Chapter 9 The Polychromatic Component
Crystal Goniometry
The Spherical Projection
The Reflection Sphere
Coordinate Settings
Relation between Coordinates in the Pole Sphere and in the Reflection Sphere for Setting 1
Transformation Equations between Film and Pole Coordinates in Setting 1
Cylindrical Laue Photographs
Flat Laue Photographs
Relation between Coordinates on the Pole Sphere and on the Reflection Sphere for Settings 2 and 3
Transformation Equations between the Film and Pole Coordinates in Setting 2
Other Coordinate Settings
The Projection of the Polychromatic Component
The Stereographic Projection of the Laue Photograph
Gnomonic Projection of a Laue Photograph
Stereognomonic Projection of a Laue Photograph
Significant Literature
Chapter 10 the Cross Ratio and Its Application in Crystallography
Geometrical Background
Applications in Crystallography
Summary
Notes on History
Significant Literature
Chapter 11 the Indexing of Laue Photographs
Indexing by Zone-Cone Intersections
Indexing Through the Gnomonic Projection
Indexing Through Stereographic Projection
Determination of Crystal Orientation: Standard Projections
Direct Indexing of the Laue Spots
Significant Literature
Chapter 12 The Characteristic Component of Laue Photographs and Its Application to the Study of Diffuse Scattering
Bragg Spots in Laue Photographs
Background of Laue Photographs
The Nature of Diffuse Scattering as Deduced from the Study of Laue Photographs
Interpretation of the Characteristic Component of the Laue Photograph
The Relations between Reciprocal-Space Coordinates and Film Coordinates
The Bernal Charts
The Systematic Laue Method
Significant Literature
Chapter 13 the Optics of the Laue Method
The Shapes of Laue Spots
The Basic Components of a Laue Spot
The Six Types of Laue Diagrams
The Optics of the Conventional Laue Method
Geometry of Laue-Spot Formation with Only One Circular Aperture
The Distribution of Intensity in a Laue Spot
Significant Literature
Chapter 14 Epilogue: Graphical Interpretation of the Laue Method
Polychromatic and Monochromatic Laue Reflections
Blank Areas
General Equation of the Laue Method
Angular Range of a Laue Reflection
Range of Wavelengths for a Laue Reflection
Number of Orders of Reflection in a Laue Spot
Temperature Factor and Zone Development
Author Index
Subject Index
- Edition: 1
- Published: January 28, 1975
- Imprint: Academic Press
- No. of pages: 388
- Language: English
- Paperback ISBN: 9780124121683
- eBook ISBN: 9780323140768
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