461contrast but is crystal-structure dependent when the eye is used to determine changes in image contrast. Thus, quantification of image intensities should be used for accurate composition determination by ARM. Lastly, although this study only considers systems containing two elements, the results indicate that similar principles can be used to interpret the contrast in systems containing combinations of three or more elements. (1983). Inst. Phys. Conf. Ser. No. 68, pp. 185-190. GOODMAN, P. & MOODIE, m. F. (1974). Acta Cryst. A30, 280-290.HIRSCH, P., HOWIE, A., NICHOLSON, R. B., PASHLEY, D. W. & WHELAN, J. (1977). Electron Microscopy of Thin Crystals,. Malabar: R. E. Krieger. HOWE, J. M., DAHMEN, U. & GRONSKY, R. (1987). Philos. Mac. A56, 31-61. HOWIE, A. & BASINSKI, Z. S. (1969). Philos. Mac. 149, 1039-1063. IIJIMA, S. (1977. Optik (Stuttgart), 48,(193)(194)(195)(196)(197)(198)(199)(200)(201)(202)(203)(204)(205)(206)(207)(208). ISAACSON, M. S., LANGMORE, J., PARKER, N. W., KOPF, D. & UTLAUT, M. (1976). Ultramicroscopy, 1,359-376. LYNCH, D. F. & O'KEEFE, M. A. (1972). Acta Cryst. A28, 536-548. MOTT, N. F. (1930). Proc. R. Soc. London Ser. A, 127, 658-672. O'KEEFE, M. A. (1973). Acta Cryst. A29, 389-401. O'KEEFE, M. A. & BUSECK, P. R. (1979). Trans. Am. Crystallogr. Assoc. 15,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] OURMAZD, A. (1987 unrealistic Lorentzian mosaic distribution models the effect of primary extinction in an extinction theory based on the energy-transfer model. The sharp central part of the Lorentzian distribution produces a reduction of the effective sample thickness due to primary extinction, whereas the wings of the distribution dominate the correction for secondary extinction in the remaining part of the sample. A more flexible mosaic distribution function is proposed, which should be useful in cases of severe extinction.
IntroductionToday in most accurate structure refinements, the effect of extinction is corrected on the basis of an energy-transfer model presented by Zachariasen (1967) and Becker & Coppens (1974). The imperfections in the crystal are described within Darwin's mosaic model using parameters for the average size of the perfect blocks, and the standard deviation of a Gaussian or a Lorentzian mosaic distribution which describes their angular misorientation. This approach has some basic limitations as discussed by Kato (1976Kato ( , 1979Kato ( , 1980a, who more recently developed a statistical dynamical diffraction theory (Kato, 1980b) which, in principle, covers the full range from dynamical to kinematical diffraction behaviour as a function of two correlation parameters r and E, the first describing short-range and the second long-range correlation. The relative merits of the two approaches to the extinction problem have been discussed by Becker & Dunstetter (1984). People have been puzzled by the fact that the assumption of a Lorentzian mosaic distribution within the conventional energy-transfer coupling model often leads to a be...