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Theory of Inelastic Scattering and Absorption of X-rays [Hardback]

(Northern Illinois University)
  • Formāts: Hardback, 237 pages, height x width x depth: 255x180x18 mm, weight: 590 g, 30 Line drawings, unspecified
  • Izdošanas datums: 26-Jan-2015
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 1107033551
  • ISBN-13: 9781107033559
  • Hardback
  • Cena: 75,52 €
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  • Formāts: Hardback, 237 pages, height x width x depth: 255x180x18 mm, weight: 590 g, 30 Line drawings, unspecified
  • Izdošanas datums: 26-Jan-2015
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 1107033551
  • ISBN-13: 9781107033559
This is the definitive guide to the theory behind X-ray spectroscopy, providing graduate students, researchers, materials scientists and optical engineers with everything they need to begin extracting the maximum amount of information available from X-ray spectra.

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 grounding. 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.

Papildus informācija

Self-contained and comprehensive, this is the definitive guide to the theory behind X-ray spectroscopy.
Preface vii
1 Introduction
1(4)
2 Background
5(25)
2.1 Symmetry and conservation laws
5(7)
2.2 Rotational symmetry
12(12)
2.3 Many-electron atoms
24(6)
3 Tensor algebra
30(31)
3.1 3j symbols
30(8)
3.2 Tensor operators
38(9)
3.3 Transition matrix elements
47(4)
3.4 Tensor products
51(10)
4 Group theory
61(15)
4.1 Cubic crystal field
61(3)
4.2 Real/tesseral basis
64(3)
4.3 Octahedral symmetry
67(3)
4.4 Tensor operators in different groups
70(2)
4.5 Clebsch--Gordan coefficients in different groups
72(4)
5 Many-body effects I: Coulomb interactions
76(28)
5.1 Many-body wave functions
76(4)
5.2 Many-body matrix elements
80(2)
5.3 Second quantization
82(3)
5.4 Two-particle matrix elements
85(2)
5.5 The Coulomb interaction in momentum space
87(1)
5.6 The Coulomb interaction in spherical symmetry
88(11)
5.7 Coulomb multiplets in lower symmetry
99(5)
6 The scattering amplitude
104(24)
6.1 The electromagnetic field
104(4)
6.2 The interaction Hamiltonian
108(1)
6.3 Multipole expansion
109(3)
6.4 The scattering amplitude
112(6)
6.5 Approximate scattering amplitudes and sum rules
118(4)
6.6 Sum rules for a spin-orbit split absorption edge
122(6)
7 Many-body effects II: Solid-state effects
128(30)
7.1 Strongly-correlated materials
129(3)
7.2 Local potential
132(13)
7.3 Effects of neighboring ions
145(13)
8 X-ray absorption and resonant X-ray scattering
158(22)
8.1 Numerical calculation of X-ray absorption lineshapes
158(2)
8.2 The isotropic Ni L-edge X-ray absorption
160(11)
8.3 Trends in isotropic X-ray absorption spectra
171(2)
8.4 X-ray magnetic dichroism
173(4)
8.5 X-ray linear dichroism
177(3)
9 Nonresonant and resonant inelastic X-ray scattering
180(45)
9.1 Inelastic X-ray scattering
180(7)
9.2 Direct resonant inelastic X-ray scattering
187(23)
9.3 Indirect resonant inelastic X-ray scattering
210(15)
Appendix A Tensors
225(5)
A.1 Spherical basis
225(1)
A.2 Tesseral basis
226(1)
A.3 Octahedral basis
227(3)
References 230(3)
Index 233
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 (APS), Argonne National Laboratory.