The wavelength dependence of extinction in a real cystal: γ-ray diffraction from NiF₂

Abstract

The wavelength dependence of extinction in an NiF2 crystal of well known mosaicity has been examined by γ-radiation of wavelengths 0.0205, 0.0265, 0.0392 and 0.0603 Å. The results for seven strong low-order reflections, some of them symmetrically equivalent, are related to the extinction models of Becker & Coppens [Acta Cryst. (1975), A31, 417–425] and Sabine [International Tables for Crystallography (1992), Vol. C, pp. 530–533. Dordrecht: Kluwer]. In the considered wavelength region, the extinction-affected observed intensity is approximately a linear function of λ2, and secondary extinction is found to be dominant. Allowance for pure secondary extinction according to the Becker & Coppens formalism yields both a satisfactory description of the wavelength dependence and mosaicities close to the directly observed ones. With the Sabine model, the influence of the mosaic distribution has to be excluded in order to describe the data properly. Hypothetical assumption of pure primary extinction, however, leads to nonrealistic mosaic block sizes between 50 and 100 μm. This model is therefore not supported by experiment.