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Physical Principles of Electron Microscopy: An Introduction to TEM ...

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The Scanning <strong>Electron</strong> Microscope 145<br />

Figure 5-17. (a – c) Astigmatic SE image showing the appearance <strong>of</strong> small particles as the<br />

objective current is changed slightly; in (b) the focus is correct, but the resolution is less than<br />

optimum. (d) Correctly focused image after astigmatism correction.<br />

Because the incident beam spreads out very little within the SE1 escape<br />

depth, the width <strong>of</strong> this central peak (Fig. 5-15b) is approximately equal <strong>to</strong><br />

the diameter d <strong>of</strong> the electron probe, which depends on the electron optics <strong>of</strong><br />

the SEM column. To achieve high demagnification <strong>of</strong> the electron source,<br />

the objective lens is strongly excited, with a focal length below 2 cm. This in<br />

turn implies small Cs and Cc (see Chapter 2), which reduces broadening <strong>of</strong><br />

the probe by spherical and chromatic aberration. Because <strong>of</strong> the high<br />

demagnification, the image distance <strong>of</strong> the objective is approximately equal<br />

<strong>to</strong> its focal length (see Section 3.5); in other words, the working distance<br />

needs <strong>to</strong> be small <strong>to</strong> achieve the best SEM resolution. The smallest available<br />

values <strong>of</strong> d (below 1 nm) are achieved by employing a field-emission source,<br />

which provides an effective source diameter <strong>of</strong> only 10 nm (see Table 3-1),<br />

and a working distance <strong>of</strong> only a few millimeters.<br />

Of course, good image resolution is obtained only if the SEM is properly<br />

focused, which is done by carefully adjusting the objective-lens current.<br />

Small particles on the specimen <strong>of</strong>fer a convenient feature for focusing; the<br />

objective lens current is adjusted until their image is as small and sharp as<br />

possible. Astigmatism <strong>of</strong> the SEM lenses can be corrected at the same time;<br />

the two stigma<strong>to</strong>r controls are adjusted so that there is no streaking <strong>of</strong> image<br />

features as the image goes through focus (see Fig. 5-17), similar <strong>to</strong> the<br />

commonly-used <strong>TEM</strong> procedure. In the SEM, zero astigmatism corresponds<br />

<strong>to</strong> a round (rather than elliptical) electron probe, equivalent <strong>to</strong> an axiallysymmetric<br />

resolution function.<br />

As shown in Fig. 5-18, the SEM not only has better resolution than a<br />

light microscope but also a greater depth <strong>of</strong> field. The latter can be defined<br />

as the change �v in specimen height (or working distance) that produces a

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