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

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<strong>An</strong> <strong>Introduction</strong> <strong>to</strong> <strong>Microscopy</strong> 23<br />

A remarkable feature <strong>of</strong> the STM is the high spatial resolution that can be<br />

achieved: better than 0.01 nm in the z-direction, which follows directly from<br />

the fact that the tunneling current is a strong (exponential) function <strong>of</strong> the<br />

tunneling gap. It is also possible <strong>to</strong> achieve high resolution (< 0.1 nm) in the<br />

x- and y-directions, even when the tip is not a<strong>to</strong>mically sharp (STM tips are<br />

made by electrolytic sharpening <strong>of</strong> a wire or even by using a mechanical<br />

wire cutter). The explanation is again in terms <strong>of</strong> the strong dependence <strong>of</strong><br />

tunneling current on gap length: most <strong>of</strong> the electrons tunnel from a single<br />

tip a<strong>to</strong>m that is nearest <strong>to</strong> the specimen, even when other a<strong>to</strong>ms are only<br />

slightly further away. As a result, the STM can be used <strong>to</strong> study the structure<br />

<strong>of</strong> surfaces with single-a<strong>to</strong>m resolution, as illustrated in Fig. 1-19.<br />

Nevertheless, problems can occur due <strong>to</strong> the existence <strong>of</strong> “multiple tips”,<br />

resulting in false features (artifacts) in an image. Also, the scan times<br />

become long if the scanning is done slowly enough for the tip <strong>to</strong> move in the<br />

z-direction. As a result, a<strong>to</strong>mic-resolution images are sometimes recorded in<br />

variable-current mode, where (once the tip is close <strong>to</strong> the sample) the<br />

feedback mechanism is turned <strong>of</strong>f and the tip is scanned over a short<br />

distance parallel <strong>to</strong> the sample surface; changes in tunneling current are then<br />

displayed in the image. In this mode, the field <strong>of</strong> view is limited; even for a<br />

very smooth surface, the tip would eventually crash in<strong>to</strong> the specimen,<br />

damaging the tip and/or specimen.<br />

Figure 1-19. 5 nm � 5 nm area <strong>of</strong> a hydrogen-passivated Si (111) surface, imaged in an STM<br />

with a tip potential <strong>of</strong> –1.5 V. The subtle hexagonal structure represents H-covered Si a<strong>to</strong>ms,<br />

while the two prominent white patches arise from dangling bonds where the H a<strong>to</strong>ms have<br />

been removed (these appear non-circular because <strong>of</strong> the somewhat irregularly shaped tip).<br />

Courtesy <strong>of</strong> Jason Pitters and Bob Wolkow, National Institute <strong>of</strong> Nanotechnology, Canada.

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