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Growth and physical properties of crystalline rubrene - BOA Bicocca ...

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3.2 Sample characterization 35<br />

Figure 3.7: Plot <strong>of</strong> the tip-sample interaction potential as a function <strong>of</strong> the tipsample<br />

distance. For the different ranges <strong>of</strong> tip-sample distance the corresponding<br />

AFM working modes <strong>and</strong> the kinds <strong>of</strong> the preponderant tip-sample interactions are<br />

indicated.<br />

• Van der Waals forces<br />

• Short-range repulsive forces<br />

• Capillary forces<br />

• Electrostatic <strong>and</strong> magnetic forces<br />

The cantilever deflection is due to the sum <strong>of</strong> all these forces, which can<br />

then be measured knowing the elastic constant <strong>of</strong> the cantilever. As shown in<br />

figure 3.7, depending on the AFM working mode in use <strong>and</strong> more generally on<br />

the tip-sample distance, different kind <strong>of</strong> forces can dominate the tip-sample<br />

interaction from time to time. The calculation <strong>of</strong> the exact amount <strong>of</strong> the<br />

combination <strong>of</strong> all those interactions is in general quite complex, but for the<br />

general use <strong>of</strong> an AFM this is not necessary, <strong>and</strong> thus it won’t be described in<br />

more detail. The maximum resolution <strong>of</strong> an AFM is determined by various<br />

factors. First <strong>of</strong> all, it is necessary to distinguish between lateral <strong>and</strong> vertical<br />

resolution. Indeed, the vertical resolution is only limited by the precision <strong>of</strong><br />

the vertical movements <strong>of</strong> the scanner. The best attainable resolution with

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