2005
DOI: 10.1063/1.1884764
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Effective tip radius in electrostatic force microscopy

Abstract: A method to determine the effective electrostatic tip radius of arbitrarily shaped conducting tips in atomic force microscopy is presented. The method is based on the finding that for conductive samples, the electrostatic force can be separated into two contributions: one from a constant background that depends only on the macroscopic shape of the tip (cone or pyramid and cantilever), and another that depends only on the radius of curvature of the tip apex. Based on a simple theoretical expression derived from… Show more

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Cited by 66 publications
(41 citation statements)
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“…This value is onehalf that obtained from the capacitance model in the inert solvent. Possible reasons for this discrepancy are (1) the lower γ value of the tip, as indicated by the lower coverage in the previous section, and/or (2) difference in effective tip radius due to different interaction ranges [43]. Figure 5 shows approach force curves between C 10 H 21 SH SAMs taken in the 0.05 M HClO 4 solution at various tip and sample potentials.…”
Section: Resultsmentioning
confidence: 99%
“…This value is onehalf that obtained from the capacitance model in the inert solvent. Possible reasons for this discrepancy are (1) the lower γ value of the tip, as indicated by the lower coverage in the previous section, and/or (2) difference in effective tip radius due to different interaction ranges [43]. Figure 5 shows approach force curves between C 10 H 21 SH SAMs taken in the 0.05 M HClO 4 solution at various tip and sample potentials.…”
Section: Resultsmentioning
confidence: 99%
“…The tip radius can be extracted from the force-distance curves as described in previous work [19] that shows that the effective tip radius is given by R 36A=V 2 , where A is the slope in the plot of electrostatic force F, versus 1=D, F is in nanonewtons, 1=D in nm ÿ1 , V in volts, and R in nm, as shown in the inset of Fig. 3.…”
mentioning
confidence: 99%
“…Electrostatic forces consist of three contributions: from the lever, tip cone, and tip apex. [34][35][36] In the first harmonic of the ac component of the bias voltage, electrostatic signal contributions scale linearly with the applied dc voltage. In the absence of large-scale permanent charges in a sample, the contributions from the lever and cone are strictly directly proportional to the dc bias without any offset, while the contribution from the tip apex may exhibit an offset V off es due to a local nonzero surface potential, which can be altered by charge injection from the tip during application of a bias.…”
Section: Resultsmentioning
confidence: 99%