Introduction to the theory of thermal neutron scattering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2012
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| Ausgabe: | (3. ed.) |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Nachdruck d. 1. ed., Cambridge, 1978. Auflagenzählung 3. ed. falsch. |
| Beschreibung: | VII, 260 S. graph. Darst. |
| ISBN: | 9781107644069 1107644062 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Introduction to the theory of thermal neutron scattering
Autor: Squires, Gordon Leslie
Jahr: 2012
CONTENTS
Preface ix
1 Introduction
1.1 Basic properties of the neutron 1
1.2 Numerical values for velocity, energy, wavelength 2
1.3 Definitions of scattering cross-sections 5
1.4 Scattering of neutrons by a Single fixed nucleus 7
2 Nuclear scattering - basic theory
2.1 Introduction 10
2.2 Fermi s golden rule 10
2.3 Expression for dV/dfl d£ 13
2.4 Coherent and incoherent scattering 21
3 Nuclear scattering by crystals
3.1 Introduction 25
3.2 Normal modes 26
3.3 Probability function for a harmonic oscillator 27
3.4 Development of (exp U exp V) 28
3.5 Phonon expansion 30
3.6 Coherent elastic scattering 32
3.7 Coherent one-phonon scattering 43
3.8 Coherent multiphonon scattering 53
3.9 Incoherent scattering 54
3.10 Multiphonon cross-sections - approximation methods 57
Examples 59
vi Contents
4 Correlation functions in nuclear scattering
4.1 Definitions of I(k, t), G(r, t), and S(k, co) 61
4.2 Expressions for G{r, t) and Gs{r, t) 63
4.3 Analytic properties of the correlation functions 65
4.4 Principle of detailed balance 68
4.5 Scattering from a Single free nucleus 70
4.6 Moments of the scattering function 73
4.7 Relation between elastic scattering and I(k, oo), G{r, oo) 75
4.8 Static approximation 78
Examples 84
5 Scattering by liquids
5.1 Introduction 86
5.2 No elastic scattering 87
5.3 Coherent scattering 88
5.4 Incoherent scattering 96
6 Neutron optics
6.1 Refractive index 110
6.2 Neutron reflection 114
6.3 Dynamical theory of scattering 116
Examples 128
7 Magnetic scattering - basic theory
7.1 Preliminary results 129
7.2 Expression for d2er/dfl c E 131
7.3 Scattering due to spin only 137
7.4 Scattering by ions with spin and orbital angular
momentum 139
7.5 Time-dependent Operators 139
7.6 Cross-section for a paramagnet 143
Examples 144
8 Scattering from magnetically ordered crystals
8.1 Elastic magnetic scattering 146
8.2 Scattering by spin waves 155
Examples 169
9 Polarisation analysis
9.1 Introduction 171
9.2 Nuclear scattering 172
Contents vii
9.3 Magnetic scattering 177
9.4 Bragg scattering from magnetically ordered crystals 181
9.5 Scattering by the atomic electric field 188
Examples 194
Appendices
A The Dirac delta function 196
B Fourier transforms 201
C Some results for linear Operators and matrix elements 204
D Heisenberg Operators 207
E The harmonic oscillator in quantum mechanics 210
F Angular momentum in quantum mechanics 215
G Normal modes of crystals 218
H The proofs of two results for magnetic scattering 226
I Some mathematical results 229
Solutions to examples 231
Bibliography 241
References 243
Glossary of Symbols 247
Index 255
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| id | DE-604.BV039780271 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:11:18Z |
| institution | BVB |
| isbn | 9781107644069 1107644062 |
| language | English |
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| physical | VII, 260 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge Univ. Press |
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| spelling | Squires, Gordon L. Verfasser aut Introduction to the theory of thermal neutron scattering G. L. Squires (3. ed.) Cambridge Cambridge Univ. Press 2012 VII, 260 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nachdruck d. 1. ed., Cambridge, 1978. Auflagenzählung 3. ed. falsch. Neutronenstreuung (DE-588)4041980-0 gnd rswk-swf Thermisches Neutron (DE-588)4185134-1 gnd rswk-swf Thermisches Neutron (DE-588)4185134-1 s Neutronenstreuung (DE-588)4041980-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024641112&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Squires, Gordon L. Introduction to the theory of thermal neutron scattering Neutronenstreuung (DE-588)4041980-0 gnd Thermisches Neutron (DE-588)4185134-1 gnd |
| subject_GND | (DE-588)4041980-0 (DE-588)4185134-1 |
| title | Introduction to the theory of thermal neutron scattering |
| title_auth | Introduction to the theory of thermal neutron scattering |
| title_exact_search | Introduction to the theory of thermal neutron scattering |
| title_full | Introduction to the theory of thermal neutron scattering G. L. Squires |
| title_fullStr | Introduction to the theory of thermal neutron scattering G. L. Squires |
| title_full_unstemmed | Introduction to the theory of thermal neutron scattering G. L. Squires |
| title_short | Introduction to the theory of thermal neutron scattering |
| title_sort | introduction to the theory of thermal neutron scattering |
| topic | Neutronenstreuung (DE-588)4041980-0 gnd Thermisches Neutron (DE-588)4185134-1 gnd |
| topic_facet | Neutronenstreuung Thermisches Neutron |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024641112&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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