| Preface |
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ix | |
| Introduction |
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1 | (6) |
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1 Electron Emission from a Surface |
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7 | (22) |
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1.1 The Potential Energy Barrier at a Surface |
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7 | (2) |
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9 | (3) |
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1.3 The Effect of an Electric Field on the Potential Energy Barrier at a Surface |
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12 | (4) |
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1.4 Emission by Heating and Applying an Electric Field |
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16 | (13) |
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16 | (6) |
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22 | (3) |
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1.4.3 Energy Distributions |
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25 | (4) |
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2 Emission from a Schottky Emitter |
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29 | (20) |
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2.1 Work Function Variations across the Emitter Surface |
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30 | (2) |
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32 | (6) |
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2.3 Applying a Heating Current |
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38 | (7) |
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38 | (4) |
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2.3.2 Tip Protrusion [ Field Strength) |
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42 | (2) |
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2.3.3 Surface Properties (Work Function) |
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44 | (1) |
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2.4 Total Emission Current |
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45 | (4) |
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3 Emission from the End Facet |
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49 | (46) |
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3.1 The Facet Extractor Lens |
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50 | (9) |
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50 | (2) |
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52 | (3) |
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3.1.3 Behind the Extractor |
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55 | (1) |
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3.1.3.1 The angular intensity of the source |
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55 | (2) |
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3.1.3.2 The full facet emission pattern |
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57 | (2) |
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3.2 The Effect of the Voltage Settings |
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59 | (10) |
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59 | (1) |
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3.2.2 The Effect of Changing the Extraction Voltage |
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60 | (2) |
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3.2.2.1 From the facet toward the extractor |
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62 | (7) |
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3.3 The Effect of Emitter Geometry |
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69 | (6) |
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69 | (2) |
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71 | (2) |
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73 | (2) |
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75 | (6) |
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3.5 The Effect of the Heating Current |
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81 | (14) |
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3.5.1 A Temperature-Dependent Work Function |
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84 | (5) |
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3.5.2 The Predicted Effect on the Emission Pattern |
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89 | (6) |
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4 The Final Beam for Applications |
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95 | (52) |
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4.1 Imaged by the Electron-Optical System: The Virtual Source |
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96 | (12) |
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4.1.1 Imaginary Cold Schottky Source |
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97 | (3) |
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4.1.2 Heated Schottky Source |
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100 | (8) |
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4.2 Current in the Source Image: Practical Brightness |
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108 | (8) |
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4.2.1 The Definition of Practical Brightness |
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109 | (4) |
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4.2.2 How to Get the Practical Brightness of a Source? |
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113 | (1) |
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4.2.3 The Intrinsic Practical Brightness for Thermionic, Schottky, and Cold Field Emission Electron Sources |
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114 | (2) |
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4.3 Total Probe Size: Source Image Plus Diffraction Plus Aberration Contributions |
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116 | (3) |
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4.4 The Effect of Electron-Electron Interactions in the Beam |
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119 | (23) |
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121 | (1) |
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4.4.1.1 General equations |
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122 | (3) |
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4.4.1.2 Application to Schottky emitters |
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125 | (5) |
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4.4.1.3 Adding contributions together |
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130 | (4) |
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4.4.2 The Boersch Effect Extracted from Energy Spread Data |
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134 | (1) |
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4.4.2.1 Function to represent the Boersch effect |
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134 | (1) |
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4.4.2.2 Total energy distribution measurement |
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135 | (1) |
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4.4.2.3 Intrinsic contribution |
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136 | (1) |
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137 | (3) |
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4.4.2.5 Comparison with theory |
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140 | (1) |
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141 | (1) |
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4.5 Summarizing: The Beam Properties Relevant to Electron Optical Systems |
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142 | (5) |
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147 | (68) |
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5.1 Observed Geometrical Changes |
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147 | (4) |
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5.2 Equilibrium Crystal Shapes |
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151 | (5) |
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156 | (8) |
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5.3.1 The Continuum Model: Tip Size Growth at Low Fields |
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156 | (6) |
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5.3.2 Tip Size Growth at High Fields |
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162 | (2) |
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5.4 Changes of the End Facet Geometry |
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164 | (13) |
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5.4.1 Evidence of the Tip-Emitter Interplay |
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165 | (3) |
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5.4.2 Reversible Changes of the End Facet |
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168 | (1) |
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5.4.2.1 Monitoring with the emission pattern |
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168 | (8) |
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5.4.2.2 Monitoring with the Schottky plot slope |
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176 | (1) |
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5.5 Collapsing of the End Facet |
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177 | (31) |
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5.5.1 The Step-Flow Model |
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178 | (4) |
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5.5.1.1 Application to Schottky emitters |
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182 | (5) |
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187 | (2) |
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5.5.2 Tip-Emitter Interplay |
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189 | (1) |
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190 | (2) |
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5.5.2.2 General system check: no-collapse operation |
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192 | (1) |
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5.5.2.3 Collapsing analysis |
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193 | (3) |
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196 | (5) |
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5.5.4 Detailed Geometrical Description |
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201 | (7) |
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5.6 The Effect on Beam Properties |
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208 | (3) |
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208 | (2) |
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210 | (1) |
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211 | (4) |
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215 | (16) |
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6.1 Maximum Performance for Different Applications |
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216 | (8) |
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6.1.1 Maximum Performance from a Static Emitter Shape |
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216 | (4) |
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6.1.2 Geometrical Limitations |
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220 | (4) |
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6.2 Source-Monitoring Tools |
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224 | (3) |
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6.2.1 Schottky Plot Slope |
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225 | (1) |
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6.2.2 Total Emission Current |
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226 | (1) |
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6.2.3 Facet Emission Pattern |
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226 | (1) |
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6.3 Practical Considerations |
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227 | (4) |
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227 | (1) |
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6.3.2 For System Manufacturers and Experimental Setups |
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228 | (3) |
| Appendix A Procedures for Monitoring in a Few Commercial Systems |
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231 | (8) |
| Appendix B Procedure to Characterize System Performance |
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239 | (4) |
| Bibliography |
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243 | (8) |
| Index |
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251 | |