By R. Brill and R. Mason (Eds.)
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Extra resources for Advances in Structure Research by Diffraction Methods. Fortschritte der Strukturforschung mit Beugungsmethoden
One sees that the main effect is to obtain the same diffraction pattern as in air, but at a distance A times nearer. This effect has been confirmed by experiment . It must be remembered that in the middle of the reflection range A is of the order of 104 or 10 5 ! Expression (IV-5-3) shows also that the diffraction pattern is the same it would be in air, but with a wave-length equal to CH-1. Remembering that at the exact Bragg angle max = 2sin2fl AQ cos(9 X A. Authier 48 one notices also that the expression of w becomes similar to that taken in air if one replaces the wave-length X by the Pendellosung fringe distance A0 multiplied by a numerical factor; this quantity is of the order of the optical wave-lengths and the diffraction patterns are therefore of the same type as those observed in the same con ditions (slit width e\ distance d) with visible light!
Phys. Soc. Japan, 20, 1047 (1965). Kato, N. , Phys. Rev. Letters, 19, 22 (1967). Hart, M. , Acta Cryst. A 25, 134 (1969). Borne, U. , Zeit. fur Physik, 188, 154 (1965). Borne, U. , Zeit. fur Physik, 190, 455 (1966). Borne, U. , Zeit. fur Physik, 194, 1 (1966). Penning, P. , Philips Res. repts, 16, 419 (1961). , J. Phys. Soc. Japan, 18, 1785 (1963). , J. Phys. Soc. Japan, 19, 67 (1963). , J. Phys. Soc. Japan, 19, 971 (1964). , Z. Naturforsch. 18a, 1010 (1963). , Advances in X-ray analysis, Plenum Press, 10, 9 (1967).
In the last few years there have appeared various investi gations concerning the interesting problem of diffraction of waves scattered with energy loss. We can here mention only the theoretical work of Kainuma (1955) , Takagi (1958) , Howie (1959) , Fujimo to and Kainuma (1963) , Heidenreich (1963) , Fukuhara (1963) , Kainuma (1965) , G&nnes (1962, 66)  . A discussion of this work is beyond the scope of this article. II. Theory II. 1 Bethe's Theory The dynamical theory of electron diffraction was developed by Bethe  in 1928.