Abstract
Chapter “Lattice Directions and Planes, and Diffraction by Crystals” reviews Miller index notation for crystal planes and directions as a precursor to establishing simple principles for diffraction by crystals. Bragg’s law establishes diffraction geometry, while atomic scattering from specific atoms and structure factors determine the amplitudes of diffraction depending upon the atomic species and their crystal or lattice structure. The concept of the Ewald sphere and a reciprocal lattice as it relates to diffraction and diffraction amplitudes is also presented.
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References
Barrett CS, Massalski TB (1966) Structure of metal, 3rd edn. McGraw-Hill, New York
International Table for X-ray crystallography, (1952–1960), vols 1–3, Kynoch Press, Birmingham. See also point and space grade symmetry data and complete space group tables on the WEB
Murr LE (1991) Electron and ion microscopy and microanalysis: principles and applications, 2nd edn. Marcel Dekker, New York
Vainshtein BK (1964) Structural analysis by electron diffraction. Pergamon Press, New York
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Murr, L.E. (2015). Lattice Directions and Planes, and Diffraction by Crystals. In: Handbook of Materials Structures, Properties, Processing and Performance. Springer, Cham. https://doi.org/10.1007/978-3-319-01815-7_10
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DOI: https://doi.org/10.1007/978-3-319-01815-7_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01814-0
Online ISBN: 978-3-319-01815-7
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