Scanning Electron Microscopy: Physics of Image Formation and by Ludwig Reimer

By Ludwig Reimer

Scanning Electron Microscopy provides an outline of the physics of electron-probe formation and of electron-specimen interations. different imaging and analytical modes utilizing secondary and backscattered electrons, electron-beam-induced currents, X-ray and Auger electrons, electron channelling results, and cathodoluminescence are mentioned to judge particular contrasts and to procure quantitative information.

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In practice, it is more important to know the dependence of probe diameter on the focal length or the working distance w, which can be continuously varied, and for a discrete set of final apertures. 25). 17) and as j, respectively (see also Fig. 10). 29) shows that the last two terms, which contain C s and C c are approximately independent of j or W whereas the first term is proportional to j2 for a constant probe current Ip. 5 Wave-Optical Theory of Electron-Probe Formation The foregoing geometric-optical treatment of lens aberrations is adequate for the discussion in Sect.

Min_ Fig. 15. Maximum electronprobe current Ip,max plotted against the minimum diameter dp,min for thermionic and fieldemission cathodes 34 2. Electron Optics of a Scanning Electron Microscope has to be calculated wave-optically (Sect. 5). 68] is found to be 2/3 Ip,max = C dp,min . 33) The constant c depends strongly on the spherical aberration of the electrode system in the gun (triode or tetrode) and on the presence of a further magnetic condenser lens. 32) (Fig. 15). Lm. Lm, a thermionic gun can provide a higher probe current, which is a valuable feature for x-ray and Auger electron microanalysis and in the specimen-current, cathodoluminescence, and acoustic thermal-wave microscopy, for example.

If C s of. 0 and hence W of. 0, the phase factor can be split into real and imaginary parts by Euler's formula exp(iB) = cosB + i sinB and the probability density, which is proportional to the local current density j(r), becomes 2. Electron Optics of a Scanning Electron Microscope 36 Fig. 16. 1 mm). 1. 0 a. 1. 2 2 I. 8 6

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