By S. Amelinckx, et al.
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Extra resources for Electron Microscopy. Principles and Fundamentals
The most striking and useful feature is the difference in the symmetry of the fringe patterns, due to translation interfaces. Whereas the bright field pattern for a translation interface is symmetrical with respect to the central line, it is roughly anti-symmetrical for a domain boundary, the edge fringes being opposite in nature. On the other hand, for the special case s1 = -s2 and tg, = fg, the dark field image 45 Transmission Electron Microscopy BF DF u,=0 z g0 I w u :o Z2= 0 21'0 I __ zp 0 (b) (a) Figure 33.
Being entrance face and for to = n / s (whose n is obtain an integer), whereas maxima occur for h2kocos a to = ( n ;)( l/s). tR = 2me l The dependence of Z, on s is represented in Fig. 18. /to XE cos LY (to 5 zo) and maxima approximately halfwith cos N M 1 t, = I V,l way between the zeros. These secundary In a plan parallel perfect foil, the scattered maxima are much smaller than the central amplitude cannot depend on x and hence peak. acp,/ax= 0. Moreover, even in a deformed foil it is a good approximation to assume that electrons propagate along narrow columns.
96) or (98)J. Equations (67) and (69) then become, for instance, and K +g + 4 (s + a,)e (103a) + $ ( s - cr,)e (103b) The beating of these two waves causes the periodic depth variation of +T and GS with a period ]/or, that is the Pendellosung effect. The four waves present in the total = +T &, belong to wavefunction, two Bloch wavefields, and $2. The second wavefield, g2,corresponds to the negative sign of 0,; it contains the two waves with wavevectors K + (s - a,)e and K + g (s - a,)e. In the simple case s = 0, the wavefield has a maximum amplitude in planes coinciding with the atomic planes, whereas G2 has maximum amplitude along planes exactly in between the atomic planes [13, 141.