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.
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,
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},
}