Origin and application of the Lorentz factor in X-ray diffraction

Gasser, F.; Simbrunner, J.; Freychet, G.; Demitri, N.; Holý, V.; Resel, R.

doi:10.1107/S2053273326005917

Acta Crystallographica Section A
Acta Crystallographica
Section A FOUNDATIONS AND ADVANCES

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Figure 2
Reciprocal-space representation of a powder diffraction measurement for the derivation of the required Lorentz factor. (a) For a typical powder diffraction measurement, variation of the scattering angle $[2\theta]$ leads to a continuous change of the scattering vector $[{\rm d}{\bf{q}}]$ . (b) The representation of randomly distributed crystallites in reciprocal space as reciprocal-lattice points assembled on the surface of a sphere (red) with radius $[q = {g_{hkl}}]$ . The intersection of this sphere with the Ewald sphere (gray) forms a Debye–Scherrer ring (blue), indicating that, at a specific scattering angle $[2\theta]$ , only a fraction of the illuminated crystallites in a powder are in the reflecting condition.

FOUNDATIONS
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ISSN: 2053-2733

Volume 82| Part 5| September 2026|

https://doi.org/10.1107/S2053273326005917

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