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Extra info for Characterization of Materials
The periodic part causes birefringence as we have seen for the two beam case, causing the incident beam to split in two beams having wave vectors with the same tangential component as K. 2 Anomalous Absorption The number of electrons is, of course, ultimately conserved in any experiment and "absorption" in the original sense does not take place on electron diffraction. However electrons may be "diverted" by being scattered, inelastically or even elastically in such a way that they no longer contribute to the image formation.
It can Figure 1-19. Dispersion surface construction in the two-beam case of dynamic diffraction. , if k(i]t = Kt (i = l,2), where (1) and (2) refer to points on the two sheets of the dispersion surface. Graphically, this means that the starting points of the wave vectors of the excited waves must be situated on the same normal to the entrance face as the starting point of K, which is itself unambiguously defined by the direction of the incident electron beam. These geometrical relations are represented in Fig.
1-132) and (1-133); moreover, we generally assume that the deviation parameters s1 and s2 may also be different in the front and rear parts of the crystal, simulating the presence of a "mixed" interface; the thicknesses of the two parts are called zt and z2 (Fig. 1-23). The transmission matrix for the front part is clearly M(z1,s1). The transmitted and scattered beams emerging from this front part are now incident on the second part with thickness z 2 . We shall represent the transmission matrix for this second part by ( y v I and determine the expressions for the elements X, Y9 U and V.