Theory of inelastic scattering and absorption of x-rays
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| Format: | Buch |
| Sprache: | English |
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Cambridge
Cambridge Univ. Press
2015
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| Ausgabe: | 1. publ. |
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Datensatz im Suchindex
| _version_ | 1804153057013923840 |
|---|---|
| adam_text | This comprehensive, self-contained guide to X-ray spectroscopy will equip
you with everything you need to begin extracting the maximum amount of
information available from X-ray spectra.
Key topics such as the interaction between X-rays and matter, the basic
theory of spectroscopy, and selection and sum rules, are introduced from the
ground up, providing a solid theoretical foundation. The book also introduces
core underlying concepts such as atomic structure, solid-state effects, the
fundamentals of tensor algebra and group theory, many-body interactions,
scattering theory, and response functions, placing spectroscopy within a
broader conceptual framework, and encouraging a deep understanding of
this essential theoretical background.
Suitable for graduate students, researchers, materials scientists, and optical
engineers, this is the definitive guide to the theory behind this powerful and
widely used technique.
Michel van Veenendaal is a Distinguished Research Professor at the
Department of Physics, Northern Illinois University, and a Physicist and group
leader at the Advanced Photon Source, Argonne National Laboratory.
Contents
R
Preface page vii
1 Introduction 1
2 Background 5
2.1 Symmetry and conservation laws 5
2.2 Rotational symmetry 12
2.3 Many-electron atoms 24
3 Tensor algebra 30
3.1 3 jsymbols 30
3.2 Tensor operators 38
3.3 Transition matrix elements 47
3.4 Tensor products 51
4 Group theory 61
4.1 Cubic crystal field 61
4.2 Real/tesseral basis 64
4.3 Octahedral symmetry 67
4.4 Tensor operators in different groups 70
4.5 Clebsch—Gordan coefficients in different groups 72
5 Many-body effects I: Coulomb interactions 76
5.1 Many-body wave functions 76
5.2 Many-body matrix elements 80
5.3 Second quantization 82
5.4 Two-particle matrix elements 85
5.5 The Coulomb interaction in momentum space 87
5.6 The Coulomb interaction in spherical symmetry 88
5.7 Coulomb multiplets in lower symmetry 99
vi Contents
6 The scattering amplitude 104
6.1 The electromagnetic field 104
6.2 The interaction Hamiltonian 108
6.3 Multipole expansion 109
6.4 The scattering amplitude 112
6.5 Approximate scattering amplitudes and sum rules 118
6.6 Sum rules for a spin-orbit split absorption edge 122
7 Many-body effects II: Solid-state effects 128
7.1 Strongly-correlated materials 129
7.2 Local potential 132
7.3 Effects of neighboring ions 145
8 X-ray absorption and resonant X-ray scattering 158
8.1 Numerical calculation of X-ray absorption lineshapes 158
8.2 The isotropic Ni ¿-edge X-ray absorption 160
8.3 Trends in isotropic X-ray absorption spectra 171
8.4 X-ray magnetic dichroism 173
8.5 X-ray linear dichroism 177
9 Nonresonant and resonant inelastic X-ray scattering 180
9.1 Inelastic X-ray scattering 180
9.2 Direct resonant inelastic X-ray scattering 187
9.3 Indirect resonant inelastic X-ray scattering 210
Appendix A Tensors 225
A. 1 Spherical basis 225
A. 2 Tesseral basis 226
A.3 Octahedral basis 227
References 230
Index 233
|
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| indexdate | 2024-07-10T01:20:33Z |
| institution | BVB |
| isbn | 9781107033559 |
| language | English |
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| physical | VIII, 237 S. Ill., graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Cambridge Univ. Press |
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| spelling | Veenendaal, Michel van Verfasser (DE-588)1068351187 aut Theory of inelastic scattering and absorption of x-rays Michel van Veenendaal 1. publ. Cambridge Cambridge Univ. Press 2015 VIII, 237 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Röntgenstreuung (DE-588)4178324-4 gnd rswk-swf Röntgenspektroskopie (DE-588)4050331-8 gnd rswk-swf Röntgenspektroskopie (DE-588)4050331-8 s Röntgenstreuung (DE-588)4178324-4 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027837308&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027837308&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Veenendaal, Michel van Theory of inelastic scattering and absorption of x-rays Röntgenstreuung (DE-588)4178324-4 gnd Röntgenspektroskopie (DE-588)4050331-8 gnd |
| subject_GND | (DE-588)4178324-4 (DE-588)4050331-8 |
| title | Theory of inelastic scattering and absorption of x-rays |
| title_auth | Theory of inelastic scattering and absorption of x-rays |
| title_exact_search | Theory of inelastic scattering and absorption of x-rays |
| title_full | Theory of inelastic scattering and absorption of x-rays Michel van Veenendaal |
| title_fullStr | Theory of inelastic scattering and absorption of x-rays Michel van Veenendaal |
| title_full_unstemmed | Theory of inelastic scattering and absorption of x-rays Michel van Veenendaal |
| title_short | Theory of inelastic scattering and absorption of x-rays |
| title_sort | theory of inelastic scattering and absorption of x rays |
| topic | Röntgenstreuung (DE-588)4178324-4 gnd Röntgenspektroskopie (DE-588)4050331-8 gnd |
| topic_facet | Röntgenstreuung Röntgenspektroskopie |
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