X-ray Compton Scattering

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Format: Hardcover
Pub. Date: 2004-12-30
Publisher(s): Oxford University Press
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Summary

With the development of potent x-ray sources at many synchrotron laboratories worldwide, Compton scattering has become a standard tool for studying electron densities in materials. This book provides condensed matter and materials physicists with an authoritative, up-to-date, and veryaccessible account of the Compton scattering method, leading to a fundamental understanding of the electrical and magnetic properties of solid materials. The spectrum of Compton scattered x-rays is particularly sensitive to this behaviour and thus can be used as a direct probe and to test thepredictions of theory. The current generation of synchrotron facilities allows this method to be readily exploited to study the ground state electron density in both elements and in complex compounds. It is important that those working in related fields, as well as the increasing number directlyusing the Compton method, have a comprehensive assessment of what is now possible and how to achieve it, in addition to a full understanding of its theoretical basis. This monograph is unique and timely, since little of what is described, was practicable a decade ago. The development of synchrotronradiation facilities has ensured that the technique described here will remain a powerful probe of electron charge and spin density for many years to come.

Author Biography


M. J. Cooper (Chapters 1 and 11)
Department of Physics, University of Warwick, Coventry CV4 7AL, UK
Malcolm Cooper is one of the pioneers of Compton scattering studies of electron momentum density, with many research relevant publications and reviews over four decades. His Warwick research group has been particularly involved in the development of synchrotron-based Compton scattering studies of ferromagnetism, at synchrotron rings in Europe and Japan. Currently he is Head of the Department of Physics at Warwick University.
P.E. Mijnarends (Chapter 8)
Physics Department, Northeastern University, Boston, Massachusetts 02115 and Interfaculty Reactor Institute, Delft University of Technology, 2629 JB Delft, The Netherlands.
Peter Mijnarends has spent most of his research career as an established international leader of positron annihilation studies of solids. He is now a guest scientist at Northeastern University and the Interfaculty Reactor Institute of Delft University of Technology.
N. Shiotani (Chapter 3, 9 and 11)
Institute of Materials Structure Science, High Energy Accelerator Research Organization
Tsukuba 305-0801, Japan.
Nobuhiro Shiotani's research has embraced first positron annihilation and latterly Compton scattering methods of studying Fermiology and electron momentum density in a wide range of solids.
N. Sakai (Chapter 10)
Graduate School and Faculty of Science, Himeji Institute of Technology, Koto, Akou-gun, Hyogo 678-1297, Japan.
Nobuhiko Sakai was involved in the very first Compton scattering studies of spin density using cooled beta-emitting polarized sources. Following this breakthrough he has developed synchrotron-based magnetic Compton scattering studies in Japan. His group has been concentrated in finding the change of magnetic electron spin and orbital states in conjunction with crystal structure and phase transitions.
A. Bansil (Chapter 8)
Professor of Physics, Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA.
Arun Bansil leads a group that has led the development and implementation of methodology for carrying out first-principles calculations of spectral intensities relevant to angle-resolved photoemission, positron-annihilation angular correlation spectra and Compton profiles in complex systems, such as the high-Tc's, within the framework of the local density approximation.

Table of Contents

Notes on contributors xi
List of important symbols xiv
1 Introduction Compton scattering: a probe of electron density distributions
1(21)
1.1 Background
1(1)
1.2 Why use Compton scattering to study electron density?
2(3)
1.3 Basic Compton scattering
5(5)
1.4 A brief history lesson
10(7)
1.5 Recent trends
17(5)
2 The theory of Compton scattering
22(60)
2.1 Kinematics
22(2)
2.2 Non-relativistic DDSCS for charge scattering
24(3)
2.3 Magnetic scattering
27(4)
2.4 The Compton scattering regime
31(1)
2.5 Impulse approximation, Compton profiles
31(8)
2.6 Densities in position and momentum space, kinetic energy
39(5)
2.7 Momentum densities, Compton profiles and reciprocal form factors in condensed matter physics
44(12)
2.8 Magnetic Compton profiles: spin density in momentum space
56(3)
2.9 Relativistic treatment of Compton scattering
59(10)
2.10 Compton scattering beyond the impulse approximation
69(13)
3 Compton scattering instrumentation
82(30)
3.1 Introduction
82(2)
3.2 Incident photons
84(4)
3.3 Insertion devices
88(6)
3.4 Monochromators
94(4)
3.5 Spectrometers
98(9)
3.6 Future prospects
107(5)
4 Compton scattering instrumentation for laboratory-based photon sources
112(21)
4.1 Introduction
112(2)
4.2 γ-ray spectrometers
114(6)
4.3 X-ray spectrometers
120(8)
4.4 Coincidence experiments
128(2)
4.5 Summary
130(3)
5 The processing of experimental data
133(30)
5.1 Introduction
133(1)
5.2 Experimental resolution
134(5)
5.3 Absorption correction
139(6)
5.4 Cross-section correction
145(5)
5.5 Detector efficiency correction
150(1)
5.6 Correction for analysing crystal reflectivity
151(1)
5.7 Correction for dead time
151(1)
5.8 Multiple scattering
152(2)
5.9 Instrumental resolution function of solid state detector
154(1)
5.10 Correction for beam instability in magnetic Compton scattering
154(2)
5.11 Normalization procedures
156(2)
5.12 Background subtraction
158(1)
5.13 Total correction factor
158(1)
5.14 Unquantifiable sources of data handling errors
159(4)
6 The reconstruction of momentum density
163(25)
6.1 Introduction
163(3)
6.2 Detailed analysis of the Fourier/Fourier-Bessel methods of reconstruction
166(10)
6.3 The effect of experimental resolution
176(1)
6.4 Optimization of an experiment
177(5)
6.5 Applications to Compton scattering from single crystals
182(6)
7 Momentum density studies by the Maximum Entropy Method
188(24)
7.1 Introduction
188(1)
7.2 Elements of Bayesian analysis and the MEM
188(5)
7.3 One-dimensional case
193(7)
7.4 Error maps
200(5)
7.5 Reconstruction in three dimensions
205(4)
7.6 Summary
209(3)
8 Momentum density studies in crystalline solids: theory
212(25)
8.1 Introduction
212(1)
8.2 Methods of momentum density calculation
213(13)
8.3 Beyond the LDA
226(11)
9 Experimental studies of momentum density in metals and alloys
237(52)
9.1 Introduction
237(2)
9.2 Alkali metals and their alloys
239(12)
9.3 Beryllium
251(3)
9.4 Aluminium and its alloys
254(5)
9.5 Silicon
259(5)
9.6 3d transition metals
264(13)
9.7 Other alloys and compounds
277(6)
9.8 Concluding remarks
283(6)
10 Spin-dependent Compton scattering 289(44)
10.1 History
289(2)
10.2 Characteristic features of the spin-dependent Compton profile
291(3)
10.3 Experimental technique
294(3)
10.4 Data analysis
297(2)
10.5 Classified review of MCPs
299(34)
11 Compton scattering and the allied techniques 333(38)
11.1 Introduction
333(1)
11.2 Positron annihilation
333(6)
11.3 Fermi surface determination using ARPES
339(16)
11.4 Electron scattering
355(1)
11.5 Electron momentum spectroscopy applied to solids
356(2)
11.6 Compton coincidence spectroscopy: γ, eγ
358(2)
11.7 Magnetization density in ferromagnets
360(3)
11.8 Other deep inelastic scattering studies of momentum distributions
363(2)
11.9 Summary
365(6)
Index 371

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