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From (II-2-2) and (II-4-6), it is possible to show that, in the symmetrical Laue case (To =7h = cos0): tg<* = vr+^2 (III-1-2) tg0 Fig. 17 Domains excited on the dispersion surface by a wave packet MM'. d OL is the angle between the paths of the wave-fields, excited at P and P \ From (III-l-l), (III-1-2), (II-4-2) and (II-4-3), we obtain: A= 2 sin20 cos2c COS0 (1 + T} 2 ) 3 / 2 Aok (III-1-3) A. Authier 30 If we introduce the radius of curvature D? of the dispersion surface: PP' 01 = do: we can show that: cosfl _k_ cosa 0i (Ill-1-4) (III-1-5) Far from Bragg's setting, a is practically equal to ± 6 and Dt to k, and the amplifi cation ratio is equal to 1.
So. Japan 25, 924 (1968). Lefeld-Sosnowska, M. and Malgrange, C , Phys. Stat. Solidi 30, K 23 (1968). Dynamical Theory of Electron Diffraction K. Kambe and K. Moliere*) With 6 figures I. Introduction The ratio of atomic scattering cross sections for electrons and X-ray photons is given by Z-f ax 4Ucsin(#/2)) 2 f I Relativistic correction and polarization factor are neglected. # is the scattering angle, X the wave length, Xc the Compton wave length, Z the atomic number, f the atomic scattering amplitude for X-rays which depends on the variable s = (47r/X) • sin (#/2).
ActaCryst. 11,885 (1958). R, ActaCryst. 11, 888 (1958). , Z. Physik 154, 352 (1959). , Beitrage zur Physik und Chemie des 20. Jahrhunderts. Vieweg&Sohn, 262(1959). , Acta Cryst. 13, 349 (1960). , ActaCryst. 14, 526, 627 (1961). , ActaCryst. 15, 1311 (1962). Kato,N. and Lang, A. , Acta Cryst. 12, 787 (1959). R. Acad. , Paris 251, 2003 (1960). , Bull. Soc. Fr. Miner. 84, 51 (1961). , Rontgenstrahl-Interferenzen, 10, 3rd ed. Frankfurt a. M. (1961). , Theory of X-ray diffraction in Crystals. John Wiley, New York (1945).