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Elucidations on the reciprocal lattice and the Ewald sphere

DOI: 10.1088/0143-0807/29/5/017 DOI Help

Authors: James Foadi (Diamond Light Source) , Gwyndaf Evans (Diamond Light Source)
Co-authored by industrial partner: No

Type: Journal Paper
Journal: European Journal Of Physics , VOL 29 (5) , PAGES 1059-1068

State: Published (Approved)
Published: August 2008

Abstract: The reciprocal lattice is derived through the Fourier transform of a generic crystal lattice, as done previously in the literature. A few key derivations are this time handled in detail, and the connection with x-ray diffraction is clearly pointed out. The Ewald sphere is subsequently thoroughly explained and a few comments on its representation in a mixed real–reciprocal space are made. In particular, it appears that the majority of textbooks or papers on the subject are limited in their way of picturing it. This paper will be useful to solid state and/or crystallography teachers. It is also suitable for graduate students researching these subjects and for talented undergraduate students.

Journal Keywords: Crystal Lattices; Crystallography; Fourier Transformation; Spheres; X-Ray Diffraction

Subject Areas: Physics

Instruments: NONE-No attached Diamond beamline

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