Download Advances in Electronics and Electron Physics, Vol. 39 by L. Marton (Ed.) PDF

By L. Marton (Ed.)

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After M. J. Whelan. Courtesy of the Institute of Metals. ELECTRON DIFFRACTION THEORY A N D ELECTRON MICROSCOPY 19 a = 2ng R(z), we have in Fig. 13 a = 0 for the part of the column above the fault and a = 2ng R for the part below the fault. The part of the integral in Eq. (29) which depends on z' is therefore Jco,"m" = exp ( -2aisz') dz' + exp ( - ia - 2nisz') dz', ,I*, iZ+' (30) where z is the depth of the fault below the center of the foil. Evaluating this we obtain = (ns)-l exp (-$a)[sin (nts + &) - sin $ exp (-2nisz)I.

15. A screw dislocation line A B parallel to the surface causes the column CD in the perfect crystal to deform to the shape EF. For a screw dislocation R = (b/2n)tan-' (33) (z/x), where b is the Burgers vector of the dislocation and a = 2xg * R = n tan-' (z/x); (34) n = g b is an integer for a perfect dislocation where b is a lattice vector. The column integral is then - +1 2 L"m"I-=, = ' exp (- in tan- (z/x)- 2nisz) dz, (35) where the variables are defined in Fig. 15. Amplitude-phase diagrams representing Eq.

On the other hand, carbon exhibits a broad plasmon peak in the energy-loss spectrum at about 24 eV, the broadening being attributed to the short plasmon lifetime. In thicker specimens multiple losses due to repeated plasmon excitation occur. The intensity of the energy loss nE, in a specimen of thickness t is given by a Poisson distribution [Marton et al. (46)]: - where 1 is the mean free path for plasmon excitation. Comparison with experiment (46) enables 1 to be estimated. For aluminum 1 is about 1500 A for 100 keV electrons.

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