Electron Microscopy. Principles and Fundamentals by S. Amelinckx, et al.

By S. Amelinckx, et al.

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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.

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