| Contents | 5 |
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| Contributors | 14 |
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| 1 Present State of Electron Backscatter Diffraction and Prospective Developments | 22 |
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| 1.1 Introduction | 22 |
| 1.2 Generation and Interpretation of Electron Backscatter Diffraction Patterns | 23 |
| 1.3 Experimental Set-Up of an EBSD System | 24 |
| 1.4 The Components of an Automated EBSD System | 25 |
| 1.4.1 The Pattern Acquisition Device | 25 |
| 1.4.2 Mechanical Stage and Digital Beam Scanning | 26 |
| 1.5 Spatial Resolution | 28 |
| 1.6 SEM Specifications for Good EBSD Performance | 30 |
| 1.7 The Radon or Hough Transformation for Band Localization | 31 |
| 1.8 Indexing indexing | 33 |
| 1.9 Fast EBSD Fast EBSD | 34 |
| 1.10 Ion Blocking Patterns | 36 |
| 1.11 Conclusions | 40 |
| References | 40 |
| 2 Dynamical Simulation of Electron Backscatter Diffraction Patterns | 42 |
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| 2.1 Introduction | 42 |
| 2.2 Model of Electron Backscatter Diffraction | 42 |
| 2.3 Dynamical Electron Diffraction in EBSD | 43 |
| 2.3.1 Using the Reciprocity Principle | 43 |
| 2.3.2 Bloch Wave Formalism | 44 |
| 2.3.3 Inclusion of the Backscattering Process | 45 |
| 2.4 Applications | 46 |
| 2.4.1 A Real-Space View of EBSD | 46 |
| 2.4.2 Full Scale Simulation of EBSD Patterns | 48 |
| 2.4.3 The Influence of the Energy Spectrum of the Backscattered Electrons | 49 |
| 2.4.4 Dynamical Effects of Anisotropic Backscattering | 51 |
| 2.5 Summary | 53 |
| References | 53 |
| 3 Representations of Texture | 55 |
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| 3.1 Introduction | 55 |
| 3.2 Rotations and Orientations | 56 |
| 3.2.1 Defining a Rotation | 56 |
| 3.2.2 Defining an Orientation | 57 |
| 3.3 Pole Figures | 58 |
| 3.4 Discrete Orientations | 60 |
| 3.4.1 Axis-Angle Parameters | 61 |
| 3.4.2 Rodrigues Vectors | 62 |
| 3.4.3 Quaternions | 62 |
| 3.4.4 Euler Angles | 65 |
| 3.5 Orientation Distribution Functions | 66 |
| 3.5.1 Circular Harmonics | 66 |
| 3.5.2 Spherical Harmonics | 67 |
| 3.5.3 Hyperspherical Harmonics | 68 |
| 3.5.4 Generalized Spherical Harmonics | 69 |
| 3.5.5 Symmetrized Harmonics | 69 |
| 3.6 Conclusion | 70 |
| References | 71 |
| 4 Energy Filtering in EBSD | 72 |
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| 4.1 Introduction | 72 |
| 4.2 Background | 72 |
| 4.3 Energy Filters | 73 |
| 4.4 Operating the Filter | 75 |
| 4.5 Early Results | 76 |
| 4.6 Patterns at Different Energies | 79 |
| 4.7 Localization of the Signal | 80 |
| 4.8 Future Energy Filters in EBSD | 81 |
| 4.9 Summary and Conclusions | 81 |
| References | 82 |
| 5 Spherical Kikuchi Maps and Other Rarities | 83 |
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| 5.1 Introduction | 83 |
| 5.2 Electron Backscatter Patterns | 83 |
| 5.3 Spherical Kikuchi Maps | 83 |
| 5.4 EBSP Detectors | 83 |
| 5.5 EBSP Imaging and Uniformity | 86 |
| 5.6 EBSP Simulation | 86 |
| 5.7 Spherical Kikuchi Maps from EBSPs | 86 |
| 5.8 Kikuchi Band Profiles | 90 |
| 5.9 Spherical Kikuchi Map Inversion | 92 |
| 5.10 Uses for Spherical Kikuchi Maps | 93 |
| 5.11 Colour Orientation Contrast Images | 94 |
| 5.12 STEM in the SEM | 94 |
| 5.13 Unusual Features in EBSPs | 95 |
| References | 97 |
| 6 Application of Electron Backscatter Diffraction to Phase Identification | 99 |
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| 6.1 Introduction | 99 |
| 6.2 Considerations for Phase ID with EBSD | 100 |
| 6.3 Case Studies | 102 |
| 6.3.1 Simultaneous EBSD/EDS Phase Discrimination | 103 |
| 6.3.2 Distinguishing ' and '' in Ni Superalloys | 104 |
| 6.3.3 Volume Fraction Determination in a Multiphase Alloy | 107 |
| References | 112 |
| 7 Phase Identification Through Symmetry Determination in EBSD Patterns | 114 |
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| 7.1 Introduction | 114 |
| 7.2 Basis of the Phase Identification Method | 114 |
| 7.3 Determination of the Crystal Unit Cell | 115 |
| 7.4 Discovering the Lattice Symmetry | 117 |
| 7.5 Re-Indexing the Pattern According to the Discovered Crystal Class | 118 |
| 7.6 Examples | 119 |
| 7.6.1 Case 1, A Cubic Crystal | 119 |
| 7.6.2 Case 2, A Hexagonal Crystal | 121 |
| 7.6.3 Case 3, A Trigonal Crystal | 121 |
| 7.7 Discussion | 123 |
| References | 124 |
| 8 Three-Dimensional Orientation Microscopy by Serial Sectioning and EBSD-Based Orientation Mappingin a FIB-SEM | 125 |
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| 8.1 Introduction | 125 |
| 8.2 The Geometrical Set-Up for 3D Characterisation in a FIB-SEM | 126 |
| 8.3 Automatic 3D Orientation Microscopy | 129 |
| 8.4 Software for 3D Data Analysis | 129 |
| 8.5 Application Examples | 130 |
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