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History of the reciprocal lattice

Published online by Cambridge University Press:  03 July 2019

Mohammad Bagher Fathi Open the ORCID record for Mohammad Bagher Fathi [Opens in a new window]
Mohammad Bagher Fathi*
Affiliation:
Department of Condensed Matter, Faculty of Physics, Kharazmi University, Tehran, Iran
*
a)Author to whom correspondence should be addressed. Electronic mail: [email protected], [email protected]
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Abstract

History of the development of the reciprocal lattice is reviewed. The reciprocal lattice as an essential tool for the study of diffraction experiments by ordered structures and characterization of their structural properties is widely taught in any text of solid state or chemistry, but usually without discussion of its history. This article aims to give a coherent historical perspective on the reciprocal lattice. First, a basic introduction to the reciprocal lattice concept, its mathematical foundation and physical origin, and its relationship with the direct lattice is provided. Then a detailed chronicle of ideas leading to the concept of the reciprocal lattice is presented, including a review of the contributions of Gibbs, Ewald, and others. The polar lattice concept, the great ancestor of the reciprocal lattice, is presented.

Keywords

reciprocal latticeGibbsEwaldpolar latticediffraction experiment
Type
Crystallography Education Article
Information
Powder Diffraction , Volume 34 , Issue 3 , September 2019 , pp. 260 - 266
Copyright
Copyright © International Centre for Diffraction Data 2019 

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