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Kinetic and Strain-Induced Self-Organization of SiGe ...

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36 CHAPTER 3. METHODS OF INVESTIGATION<br />

Figure 3.4: For miscut Si(001) substrates the average orientation usually deviates<br />

from the specific (001)-crystal direction. a) Short terrace segments are hard to<br />

resolve by AFM which impedes accounting for the tilted surface via the miscut angle.<br />

b) The step-bunching morphology exhibits flat <strong>and</strong> wide (001)-oriented terraces<br />

which enables tilt-correction.<br />

� Source: AFM tilt-correction.jpg<br />

Although there are some benefits <strong>of</strong> image-processing s<strong>of</strong>tware, it may not be used care-<br />

lessly, as it could lead to data misrepresentation. Careless flattening could change structure<br />

curvature or could make features even disappear, as well as irresponsible filtering could add<br />

artificial structures to the image. Usually a tilted surface cannot be identified as such directly<br />

from the height-scale AFM-data. Just with additional structure-related knowledge about the<br />

orientation <strong>of</strong> intrinsic morphological features, e.g. facet angles, the correct surface orienta-<br />

tion can be deduced which provides thereafter angle measurements with meaningful values<br />

(see Fig. 3.4). [74]<br />

3.3.4 Data Types <strong>and</strong> Data Representation<br />

In this work a Digital Instruments Veeco Dimension 3100 AFM with Nanoscope IV controller<br />

[83] was employed with Olympus TESP tips [84] in the ”tapping” mode to map highly resolved<br />

surface images.<br />

There are two signals or data types that are collected by the AFM-system which are<br />

exploited for the thesis at h<strong>and</strong>.<br />

The ”height” data, which give directly the topographic information <strong>of</strong> the surface morphol-<br />

ogy, correspond to the change in piezo height (z-direction) needed to keep the amplitude <strong>of</strong><br />

the cantilever vibration constant. Thus for the acquisition <strong>of</strong> the ”height” data the feedback<br />

gains must be high enough, so that the sample surface can be tracked <strong>and</strong> the change in<br />

oscillation amplitude <strong>of</strong> the tip is minimized.<br />

The ”amplitude” data measure the change in amplitude relative to the amplitude setpoint.<br />

Using high feedback gains for collecting ”amplitude” data gives the derivative <strong>of</strong> the to-<br />

pographic height in scan-direction. Hence the ”amplitude” data are <strong>of</strong>ten also referred to

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