Advances in Structure Research by Diffraction Methods. by R. Brill and R. Mason (Eds.)

By R. Brill and R. Mason (Eds.)

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Fig. 28 Spherical wave Pendellosung fringes wedge shaped NaN0 3 crystal. Mo K a . 40 IV A. Authier Generalized Diffraction Theory The X-ray optics described in section II and III are related to the geometric optics in that they are ray optics. They are inadequate to treat fully the case of an incident spherical wave or that of the diffraction effects due to a slit, for instance. To do that, the equivalent of physical optics is necessary. This can be done either by expanding the incident wave in plane waves by means of a Fourier integral and using the results of the classical theory, which has been done by Kato [ 17] or by solving the generalized equations (1-8-2).

Of Appl. , 35, 1956(1964). Wagenfeld, H, Acta Cryst. A 24, 170 (1968). , Ann. Physik (5) 36, 209 (1939). Batterman, B. W. , Acta Cryst. A 24, 150 (1968). , Hildebrandt G. , Z. Physik Dtsch. 142, 406 (1955). Wagner, H, Z. Physik Dtsch. 146, 127 (1956). Kikuta, S. , J. Phy. 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.

Stat. Solidi, 21, 413 (1967). , Phys. Rev. 144, 216 (1966). , 7th Int. Congress of Crystallography, Moscow (1966). Schwartz, G. , Phys. Rev. 95, 951 (1954). Brogren, G. , Ark. , 9, 1 (1954). , J. Phys. Soc. Jap. 10, 46 (1955). [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] Ewald Waves in Theory and Experiment [51 [52 [53 [54 [55 [56 [57 [58 [59 [60 [61 [62 [63 [64 [65 [66 [67 [68 [69 [70 [71 [72 [73 [74 [75 [76 [77 [78 [79 [80 [81 [82 [83 [84 [85 [86 [87 [88 [89 [90 [91 51 Battermann, B.

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