| Preface |
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v | |
| Foreword |
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vii | |
| Acknowledgments |
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ix | |
| Acronyms |
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xv | |
| Chapter 1 Anisotropy in Electron Energy Loss Spectrometry |
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1 | (22) |
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1 | (1) |
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1.2 Interaction between a pair of electrons |
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2 | (2) |
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4 | (2) |
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1.4 The double differential scattering cross section |
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6 | (1) |
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1.5 The dipole approximation |
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7 | (4) |
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1.6 Scattering kinematics |
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11 | (1) |
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1.7 Experimental considerations |
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12 | (8) |
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20 | (3) |
| Chapter 2 The Principles of XMCD and Its Application to L-Edges in Transition Metals |
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23 | (20) |
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23 | (1) |
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23 | (3) |
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2.3 The absorption coefficient and its magnetic part |
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26 | (1) |
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2.4 Origin of XMCD in a simple two-step model |
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27 | (6) |
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2.5 General formulation via the sum rules |
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33 | (3) |
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2.6 Magnetic X-ray microscopy |
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36 | (4) |
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40 | (3) |
| Chapter 3 Chirality in Electron Energy Loss Spectrometry |
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43 | (22) |
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3.1 Broken symmetries in EELS |
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43 | (1) |
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44 | (3) |
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3.3 Inelastic interference |
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47 | (3) |
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3.4 The mixed dynamic form factor |
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50 | (2) |
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3.5 Properties of the MDFF |
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52 | (3) |
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3.6 Equivalence to X-ray dichroism |
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55 | (2) |
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57 | (5) |
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3.8 Chirality of transitions |
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62 | (3) |
| Chapter 4 Momentum-resolved ELNES and EMCD of L2,3 Edges from the Atomic Multiplet Theory |
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65 | (14) |
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4.1 Core level spectroscopy of transition metal oxides and strongly correlated materials |
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65 | (1) |
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4.2 Atomic multiplet theory for the calculation of X-ray absorption spectra |
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66 | (3) |
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4.3 Parameters for an atomic multiplet calculation |
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69 | (1) |
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4.4 Momentum-resolved EELS and EMCD spectra from the atomic multiplet theory |
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69 | (3) |
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4.5 EELS and EMCD spectra at the L2,3 edge of IRON in magnetite |
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72 | (4) |
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76 | (3) |
| Chapter 5 XMCD Spectra Based on Density Functional Theory |
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79 | (22) |
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79 | (1) |
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5.2 Density functional theory |
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79 | (2) |
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5.3 The linearized augmented plane wave method |
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81 | (1) |
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82 | (4) |
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86 | (10) |
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96 | (5) |
| Chapter 6 Multiple-Scattering Theory and Interpretation of XMCD |
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101 | (14) |
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6.1 Multiple-scattering theory of XMCD |
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101 | (2) |
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103 | (3) |
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6.3 Examples: Rare earth metals |
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106 | (6) |
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112 | (3) |
| Chapter 7 Linear Dichroism and the Magic Angle |
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115 | (14) |
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115 | (7) |
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122 | (4) |
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126 | (3) |
| Chapter 8 Sum Rules in EMCD and XMCD |
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129 | (20) |
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8.1 Operator expansion approach and XMCD sum rules |
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130 | (1) |
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8.2 Error sources in XMCD sum rules |
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131 | (1) |
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8.3 Simplified derivation of EMCD sum rules |
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132 | (3) |
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8.4 Rotationally invariant form of the EMCD sum rules |
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135 | (6) |
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8.5 Sum rules for real part of MDFFs |
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141 | (1) |
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8.6 Dipole allowed sum rules for ELNES spectra-summary |
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142 | (1) |
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8.7 Error sources in EMCD sum rules |
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143 | (6) |
| Chapter 9 EMCD Techniques |
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149 | (26) |
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9.1 Basic geometry for EMCD |
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150 | (4) |
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154 | (1) |
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155 | (3) |
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9.4 Objective aperture shift |
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158 | (1) |
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9.5 Convergent beam methods |
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159 | (4) |
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163 | (1) |
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164 | (1) |
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165 | (4) |
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9.9 Considerations on the convergence and collection angles |
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169 | (1) |
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170 | (5) |
| Chapter 10 Artefacts and Data Treatment in EMCD Spectra |
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175 | (22) |
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10.1 Artefacts in the data cube |
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176 | (9) |
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185 | (10) |
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195 | (2) |
| Chapter 11 The Role of the Crystal in EMCD |
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197 | (16) |
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11.1 The Bloch wave formalism |
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197 | (2) |
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11.2 The density matrix formalism |
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199 | (1) |
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11.3 Density matrices in the electron microscope |
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200 | (2) |
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11.4 Simulating the inelastic diffraction pattern |
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202 | (4) |
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11.5 Obtaining the EMCD signal |
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206 | (1) |
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207 | (2) |
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11.7 Recommendations for experiments |
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209 | (4) |
| Chapter 12 EMCD on the Nanometre Scale |
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213 | (12) |
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213 | (1) |
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214 | (3) |
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217 | (3) |
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220 | (2) |
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222 | (3) |
| Chapter 13 Magnetic Dichroism in X-ray Holography |
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225 | (18) |
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225 | (2) |
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13.2 Holography with soft X-rays |
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227 | (5) |
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13.3 Holographic imaging of magnetic domains |
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232 | (5) |
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13.4 Recent developments and outlook |
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237 | (6) |
| Chapter 14 Prospects for Spin Mapping with Atomic Resolution |
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243 | (14) |
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14.1 Mapping of single spins |
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243 | (4) |
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14.2 Prospects for sub-lattice resolution in EMCD |
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247 | (3) |
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14.3 Angular momentum in EELS |
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250 | (7) |
| Index |
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257 | |