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Indexing of Crystal
Diffraction Patterns
From Crystallography Basics to Methods of Automatic Indexing
Geometric crystallography
Linear oblique coordinate systems
Lattices
Crystal
symmetry groups
Conventional
crystallographic settings
Indices
of directions and planes
Families
of equivalent stacks of planes
Comparison
of lattices
Crystal
orientation
Homogeneous
strain
Lattice
and Fourier transformation
Basic aspects of crystal diffraction
Scattering of waves in solids
Geometry of crystal diffraction
Geometries of selected diffraction techniques
Structure factor
Formal approach to crystal diffraction
Intensities of reflections
Other factors affecting intensities
Diffraction of high energy electrons
Introduction to dynamical diffraction
Wave equation
Bloch waves in semi-infinite and plate-like crystals
Intensities on TEM diffraction patterns
Cartesian reference frames in diffractometry
X-ray diffractometer
Orientation in transmission microscope
Orientation in scanning microscope
Indexing of single-crystal diffraction patterns
Indexing in general
Ab initio indexing for structure determination
Experimental single-crystal techniques
The problem of indexing single-crystal data
Real-space indexing
Period detection
Difference vectors
Indexing via three-dimensional Fourier transformation
Clustering in reciprocal space
Directions of zone axes from difference vectors
Constructing a three-dimensional lattice
An example indexing program Ind_X
A bird’s eye view on ab initio indexing
Ab-inito indexing of Laue patterns
Geometry of Laue patterns
Gnomonic projection of reciprocal lattice nodes
Gnomonic projection of a cell
Laue indexing
Indexing of pink-beam diffraction patterns
Indexing of powder diffraction patterns
Link between peaks positions and reflection
indices
Ambiguities
Figures of merit
Indexing procedures
Integrated software packages
Indexing for orientation determination
Orientation mapping
Orientation via pattern indexing
Formal aspects of end-indexing
Spurious scattering vectors
Accumulation in discrete space
Accumulation in rotation space
Testing of indexing algorithms
Figures of merit and other issues
Orientation determination via direct pattern matching
Indexing of spot-type diffraction patterns
Conventional indexing of zone axis patterns
Automatic orientation determination
Three-dimensional ab initio indexing
Note on other TEM-based patterns
Complications in indexing
Pseudosymmetry
Indexing of ‘multi-lattice’ diffraction
patterns
Ambiguities in crystal orientation determination
Indexing of satellite reflections
Non-conventional structure determination methods
Multigrain indexing
Three-dimensional X-ray diffraction
X-ray diffraction contrast tomography
Processing of diffraction data
Other methods of three-dimensional mapping
Beyond diffraction by periodic crystals
Debye scattering formula
Single-particle diffraction imaging
Indexing of diffraction patterns of helical
structures
Quasicrystals
Example one-dimensional quasicrystal
The strip projection method
Two-dimensional pentagonal case
Frame-based tilings
Indices of reflections
The decagonal and other axial quasicrystals
The icosahedral quasicrystal
Practical aspects of indexing
Strain determination
Methods of local strain determination
CBED-based determination of micro-strains
Kossel micro-diffraction