In Williams, D. B. & Carter, C. B., editors, *Transmission Electron Microscopy: A Textbook for Materials Science*, pages 235–243. Springer US, Boston, MA, 2009.

Paper doi abstract bibtex

Paper doi abstract bibtex

This topic is rather mathematical, with long sequences of differential equations. The discussion of Bloch waves given here follows the treatment of Hirsch et al. which, in turn, was based on the original analysis of electron diffraction by Bethe (1928). The notation we will use closely follows that used by Bethe. Remember that g can be any reciprocal-lattice vector, although we will also use it to represent a specific vector.

@incollection{williams_bloch_2009, address = {Boston, MA}, title = {Bloch {Waves}}, isbn = {978-0-387-76501-3}, url = {https://doi.org/10.1007/978-0-387-76501-3_14}, abstract = {This topic is rather mathematical, with long sequences of differential equations. The discussion of Bloch waves given here follows the treatment of Hirsch et al. which, in turn, was based on the original analysis of electron diffraction by Bethe (1928). The notation we will use closely follows that used by Bethe. Remember that g can be any reciprocal-lattice vector, although we will also use it to represent a specific vector.}, language = {en}, urldate = {2021-09-02}, booktitle = {Transmission {Electron} {Microscopy}: {A} {Textbook} for {Materials} {Science}}, publisher = {Springer US}, author = {Williams, David B. and Carter, C. Barry}, editor = {Williams, David B. and Carter, C. Barry}, year = {2009}, doi = {10.1007/978-0-387-76501-3_14}, keywords = {Bloch Function, Bloch Wave, Crystal Potential, Extinction Distance, Potential Energy}, pages = {235--243}, }

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