International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. C. ch. 6.1, p. 554

Section 6.1.1.2. Incoherent (Compton) scattering

E. N. Maslen,e‡ A. G. Foxb and M. A. O'Keefec

6.1.1.2. Incoherent (Compton) scattering

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For scattering from a free electron, the quantum nature of the radiation must be considered. Under the impact of a photon with energy hc/λ, momentum h/λ, the recoil of an electron, initially at rest, results in a change in wavelength of [\Delta\lambda={2h\over mc}\sin^2\theta,\eqno (6.1.1.5)]a geometry similar to that in Fig. 6.1.1.1[link] being assumed. There is no fixed relationship between the phases of the incident and scattered beams – i.e. the scattering is incoherent. The intensity [I_e] predicted by the Thomson formula is modified by the correction factor [λ/(λ + Δλ)]3.








































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