Reciprocal space
Diffraction in metals and alloys: diffraction conditions
Article REF: M4126 V1
Reciprocal space
Diffraction in metals and alloys: diffraction conditions

Authors : Bernard JOUFFREY, Richard A. PORTIER

Publication date: June 10, 2007 | Lire en français

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2. Reciprocal space

Bragg's condition stipulates that the angle of reflection, on an atomic plane, is simply defined by the wavelength of the radiation used and by the inter-reticular distance, i.e. the distance between the atomic planes. But even if this condition is met, there may still be no reflection allowed. To determine when reflections are permitted or forbidden, Ewald introduced the notion of reciprocal lattice in 1921 .

2.1 Geometry

In establishing the Laue conditions, we saw that diffraction occurs when the scattering vectorq is such that :

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