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X-Rays and Electron Microscopy

  • K. H. G. Ashbee
Part of the Nato Advanced Study Institutes Series book series (NSSB, volume 19)

Abstract

The equation of scalar wave propagation in a simple periodic medium, described by can, by \({\nabla ^2}\mu = \frac{1}{{{c^2}}}\,\frac{{{\partial ^2}u}}{{\partial {t^2}}}\,;\,\frac{1}{{{c^2}}}\, = \,\alpha + 2\beta \cos \,(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{g} \cdot \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{r} )\) the Bloch theorem, be satisfied by a function of the form, \(u = \sum\limits_{n = - \infty }^{n = + \infty } {{a_n}\exp \,i\,\left\{ {(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{h} + n\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{g} ) \cdot \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{r} - \omega t} \right\}}\) For this to be a solution, however, we must set some restriction on the values of the coefficients an.

Keywords

Burger Vector Screw Dislocation Edge Dislocation Dispersion Surface Kikuchi Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • K. H. G. Ashbee
    • 1
  1. 1.H. H. Wills Physics LaboratoryUniversity of BristolBristolUK

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