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

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The Transmission <strong>Electron</strong> Microscope 79<br />

(a)<br />

S<br />

PP<br />

BFP<br />

(b)<br />

S<br />

PP<br />

BFP<br />

u ~ f<br />

f<br />

objective<br />

aperture<br />

selected-area<br />

aperture<br />

specimen<br />

image<br />

Figure 3-12. Formation <strong>of</strong> (a) a small-diameter nanoprobe and (b) parallel illumination at the<br />

specimen, by means <strong>of</strong> the pre-field <strong>of</strong> the objective lens. (c) Thin-lens ray diagram for the<br />

objective post-field, showing the specimen (S), principal plane (PP) <strong>of</strong> the objective post-field<br />

and back-focal plane (BFP).<br />

In fact, in a modern materials-science <strong>TEM</strong> (optimized for highresolution<br />

imaging, analytical microscopy, and diffraction analysis <strong>of</strong> nonbiological<br />

samples), the specimen is located close <strong>to</strong> the center <strong>of</strong> the<br />

objective lens, where the magnetic field is strong. The objective pre-field<br />

then exerts a strong focusing effect on the incident illumination, and the lens<br />

is <strong>of</strong>ten called a condenser-objective. When the final (C2) condenser lens<br />

produces a near-parallel beam, the pre-field focuses the electrons in<strong>to</strong> a<br />

nanoprobe <strong>of</strong> typical diameter 1 – 10 nm; see Fig. 3-12a. Such miniscule<br />

electron probes are used in analytical electron microscopy <strong>to</strong> obtain chemical<br />

information from very small regions <strong>of</strong> the specimen. Alternatively, if the<br />

condenser system focuses electrons <strong>to</strong> a crossover at the front-focal plane <strong>of</strong><br />

the pre-field, the illumination at the specimen is approximately parallel, as<br />

required for most <strong>TEM</strong> imaging (Fig. 3-12b). The post-field <strong>of</strong> the objective<br />

then acts as the first imaging lens with a focal length f <strong>of</strong> around 2 mm. This<br />

small focal length provides small coefficients <strong>of</strong> spherical and chromatic<br />

aberration and optimizes the image resolution, as discussed in Chapter 2.<br />

In a biological <strong>TEM</strong>, a<strong>to</strong>mic-scale resolution is not required and the<br />

objective focal length can be somewhat larger. Larger f gives higher image<br />

�<br />

(c)<br />

D<br />

R<br />

v

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