Summary
We show that how elastic the scattering of external particles (usually photons or neutrons) by a crystal allows us to determine experimentally the lattice structure. We also show that the inelastic scattering of thermal neutrons due to phonon absorption or emission reveals the phononic dispersion relation; a comparison with the corresponding theoretical results is presented. Explicit expressions for these elastic and inelastic cross-sections are obtained.
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Further Reading
See the book by Ashcroft and Mermin [SS75] Chaps. 22, 23, 24, and Appendices L, M, N and the book by Kittel [SS74], Chap. 2.
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© 2010 Springer-Verlag Berlin Heidelberg
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Economou, E.N. (2010). Crystal Structure and Ionic Vibrations. In: The Physics of Solids. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02069-8_9
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DOI: https://doi.org/10.1007/978-3-642-02069-8_9
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02068-1
Online ISBN: 978-3-642-02069-8
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