2009
DOI: 10.1021/ma8024464
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Quantitative Analysis of Scanning Force Microscopy Data Using Harmonic Models

Abstract: Starting from established concepts that describe the dynamics of the cantilever in a scanning force microscope operated in intermittent contact mode as that of a driven harmonic oscillator, we introduce effective interaction parameters based on Fourier coefficients to describe the interaction forces. These interaction parameters are linear in the forces and separate conservative from dissipative contributions. They allow a qualitative description of the interaction process and enable a thorough discussion of t… Show more

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Cited by 36 publications
(54 citation statements)
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“…Phase contrast originates from different mechanical properties of crystalline and amorphous regions with higher signal corresponding to stiffer crystalline domains. 39 Fibrillar morphology similar to that of Figure 2b has been reported for RP3HT previously. 8,40 In addition, RP3HT nanofibrils have been suggested to be related with edge-on oriented P3AT chains.…”
Section: Resultssupporting
confidence: 82%
“…Phase contrast originates from different mechanical properties of crystalline and amorphous regions with higher signal corresponding to stiffer crystalline domains. 39 Fibrillar morphology similar to that of Figure 2b has been reported for RP3HT previously. 8,40 In addition, RP3HT nanofibrils have been suggested to be related with edge-on oriented P3AT chains.…”
Section: Resultssupporting
confidence: 82%
“…AFM phase contrast is related to the Fourier transform of the interaction force between tip and sample during approach and penetration of the sample. 41 As the corresponding height images do not show the same pattern and as the surface of the film is chemically uniform, it is obvious that the phase signal reflects mainly the different mechanical properties of crystalline and amorphous parts of the sample. For a sample with hard-soft contrast generally higher values of the phase correspond to the stiffer material.…”
Section: Resultsmentioning
confidence: 99%
“…For a sample with hard-soft contrast generally higher values of the phase correspond to the stiffer material. 41 Clearly with increasing molecular weight the thickness of the crystals increased and the arrangement of the crystals became somewhat less well ordered. A direct quantitative determination of the thicknesses of the crystals and the amorphous layers is difficult due to resolution problems.…”
Section: Resultsmentioning
confidence: 99%
“…We attribute the shape of the PB curves to viscoelastic dissipation processes 19 and note the plateau-like shape of the PS curves, similar to those curves observed on crystalline regions of polypropylene. 24 Figure 1 panels f and g show the analysis of the APD curves according to ref 21. Conservative and dissipative contributions to the total tipϪsample interaction force are expressed by an additional tipϪsample spring constant k TS and the effective damping parameter ␣ eff /m.…”
Section: Resultsmentioning
confidence: 99%
“…Conservative and dissipative contributions to the total tipϪsample interaction force are expressed by an additional tipϪsample spring constant k TS and the effective damping parameter ␣ eff /m. 21 The former is given by where m ϭ k/ 0 2 is the vibrating mass and k eff is the total effective spring constant. The effective damping parameter…”
Section: Sample Preparationmentioning
confidence: 99%