Thinking in Reciprocal Space. Williams, D. B. & Carter, C. B. In Williams, D. B. & Carter, C. B., editors, Transmission Electron Microscopy: A Textbook for Materials Science, pages 211–219. Springer US, Boston, MA, 2009.
Thinking in Reciprocal Space [link]Paper  doi  abstract   bibtex   
In the previous chapter, you’ve already encountered vectors k and g and seen that they have lengths with units of nm−1. These vectors are referred to as reciprocal-lattice vectors. Now we are going to discuss what this reciprocal lattice is. The reciprocal lattice is simply a lattice in reciprocal space. Note that this lattice is just as real as the ‘real lattice’ in ‘real’ space. It’s like a new world in Gulliver’s Travels but the relationship to ‘our’ world is not a linear scaling factor but a reciprocal one. If something (an object or a length) is large in real space, then it’s small in reciprocal space.
@incollection{williams_thinking_2009,
	address = {Boston, MA},
	title = {Thinking in {Reciprocal} {Space}},
	isbn = {978-0-387-76501-3},
	url = {https://doi.org/10.1007/978-0-387-76501-3_12},
	abstract = {In the previous chapter, you’ve already encountered vectors k and g and seen that they have lengths with units of nm−1. These vectors are referred to as reciprocal-lattice vectors. Now we are going to discuss what this reciprocal lattice is. The reciprocal lattice is simply a lattice in reciprocal space. Note that this lattice is just as real as the ‘real lattice’ in ‘real’ space. It’s like a new world in Gulliver’s Travels but the relationship to ‘our’ world is not a linear scaling factor but a reciprocal one. If something (an object or a length) is large in real space, then it’s small in reciprocal space.},
	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_12},
	keywords = {Bragg Condition, Diffraction Spot, Real Space, Reciprocal Lattice, Reciprocal Space},
	pages = {211--219},
}

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