| Preface |
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ix | |
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1 | (8) |
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1.1 Organisation and Scope of the Book |
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3 | (6) |
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8 | (1) |
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9 | (44) |
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2.1 Physical Background and Implementation |
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11 | (16) |
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2.1.1 Elastic Scattering By an Atomic Nucleus |
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11 | (7) |
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2.1.2 Inelastic Scattering by Atomic Electrons |
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18 | (5) |
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2.1.3 Implementation of the Monte Carlo Algorithm |
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23 | (4) |
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2.2 Some Applications of the Monte Carlo Method |
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27 | (13) |
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2.2.1 Spatial Resolution and Backscattered Imaging |
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27 | (7) |
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2.2.2 Characteristic X-Ray Generation |
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34 | (3) |
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2.2.3 Cathodoluminescence and Electron Beam Induced Current Microscopy |
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37 | (3) |
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2.3 Further Topics in Monte Carlo Simulations |
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40 | (9) |
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2.3.1 Classical or Quantum Physics? |
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40 | (3) |
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2.3.2 Spin-Orbit Coupling and the Mott Cross-Section |
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43 | (3) |
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2.3.3 Dielectric Model of Stopping Power and Secondary Electron Emission |
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46 | (3) |
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49 | (4) |
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50 | (3) |
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53 | (52) |
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3.1 Mathematical Treatment of the Multislice Method |
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56 | (22) |
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3.1.1 Specimen Transmission Function |
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59 | (7) |
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3.1.2 Fresnel Propagator Function |
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66 | (5) |
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3.1.3 Objective Lens Contrast Transfer Function and Partial Coherence |
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71 | (5) |
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3.1.4 Implementation of the Multislice Algorithm |
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76 | (2) |
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3.2 Applications of Multislice Simulations |
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78 | (15) |
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3.2.1 HREM Imaging and Electron Crystallography |
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78 | (9) |
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3.2.2 CBED and STEM Applications: Frozen Phonon Model |
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87 | (6) |
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3.3 Further Topics in Multislice Simulation |
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93 | (9) |
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3.3.1 Accuracy of Multislice Algorithms |
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93 | (4) |
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3.3.2 Is the Frozen Phonon Model Physically Realistic? |
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97 | (5) |
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102 | (3) |
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102 | (3) |
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105 | (60) |
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106 | (26) |
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4.1.1 Mathematical Background |
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106 | (5) |
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4.1.2 Application to Two-Beam Theory |
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111 | (5) |
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4.1.3 Phenomenological Modelling of Thermal Diffuse Scattering |
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116 | (8) |
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4.1.4 Bloch States in Zone-Axis Orientations |
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124 | (8) |
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4.2 Applications of Bloch Wave Theory |
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132 | (17) |
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132 | (2) |
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134 | (10) |
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4.2.3 Bloch Wave Scattering By Elastic Strain Fields |
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144 | (5) |
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4.3 Further Topics in Bloch Waves |
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149 | (11) |
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4.3.1 Dopant Atom Imaging in STEM |
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149 | (7) |
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4.3.2 Electron Channelling and Its Uses |
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156 | (4) |
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160 | (5) |
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161 | (4) |
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5 Single Electron Inelastic Scattering |
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165 | (50) |
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5.1 Fundamentals of Inelastic Scattering |
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166 | (35) |
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5.1.1 Electron Excitation in a Single Atom by a Plane Wave |
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166 | (14) |
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5.1.2 Mixed Dynamic Form Factor |
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180 | (9) |
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5.1.3 Yoshioka Equations and Inelastic Scattering within a Crystal |
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189 | (6) |
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5.1.4 Coherence in Inelastic Scattering |
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195 | (6) |
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5.2 Fine Structure of The Electron Energy Loss Signal |
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201 | (10) |
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5.2.1 Origin of Fine Structure |
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201 | (5) |
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206 | (3) |
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5.2.3 Magnetic Circular Dichroism |
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209 | (2) |
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211 | (4) |
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212 | (3) |
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6 Electrodynamic Theory of Inelastic Scattering |
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215 | (48) |
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6.1 Bulk and Surface Energy Loss |
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216 | (28) |
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6.1.1 Energy Loss in an `Infinite' Solid |
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216 | (10) |
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6.1.2 Phonon Spectroscopy |
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226 | (6) |
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6.1.3 Interface and Surface Contributions |
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232 | (12) |
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244 | (9) |
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6.2.1 Cerenkov Radiation and Band Gap Measurement |
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244 | (5) |
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6.2.2 Transition Radiation |
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249 | (4) |
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6.3 Simulating Low Energy Loss EELS Spectra |
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253 | (6) |
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6.3.1 Discrete Dipole Approximation (DDA) |
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253 | (1) |
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6.3.2 Boundary Element Method (BEM) |
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254 | (5) |
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259 | (4) |
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259 | (4) |
| Appendix A The First Born Approximation and Atom Scattering Factor |
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263 | (4) |
| Appendix B Potential for an `Infinite' Perfect Crystal |
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267 | (2) |
| Appendix C The Transition Matrix Element in the One Electron Approximation |
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269 | (2) |
| Appendix D Bulk Energy Loss in the Retarded Regime |
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271 | (4) |
| Index |
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275 | |