2007
DOI: 10.1063/1.2826285
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Response of a laterally vibrating nanotip to surface forces

Abstract: The torsional eigenmodes of atomic force microscope (AFM) cantilevers are highly sensitive toward in-plane material properties of the sample. We studied the effect of viscosity and lateral contact stiffness on the detuning, amplitude, and phase response numerically. To verify the theoretical considerations, a torsion mode AFM was operated in frequency modulation. During approach and retract cycles, we observed a negative detuning of the torsional resonant frequency close to the sample surface depending on the … Show more

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Cited by 13 publications
(7 citation statements)
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“…The angular detection noise density n θ , in rad Hz −1/2 , describes the lower detection limit for an optical beam deflection system across any arbitrary bandwidth [19]. The angular bending of the cantilever can in principle be calibrated into a tip displacement and a force; however, we avoid complications that arise around and above the cantilever resonance frequency, discussed elsewhere [58][59][60][61], by simply dealing with the unequivocal angular detection noise density n θ to describe detection noise in this paper.…”
Section: Detection Noisementioning
confidence: 99%
“…The angular detection noise density n θ , in rad Hz −1/2 , describes the lower detection limit for an optical beam deflection system across any arbitrary bandwidth [19]. The angular bending of the cantilever can in principle be calibrated into a tip displacement and a force; however, we avoid complications that arise around and above the cantilever resonance frequency, discussed elsewhere [58][59][60][61], by simply dealing with the unequivocal angular detection noise density n θ to describe detection noise in this paper.…”
Section: Detection Noisementioning
confidence: 99%
“…[36] Therefore, the roughness calculated with help of the amplitude measurements is more representative than the one done on basis of the measurements of the z-axis position. [37] Besides the surface roughness values, the skewness and kurtosis of the samples were evaluated for better demonstration of the granular uniformity resulting from the laser treatment. Skewness is the measure of deviation of the surface from the symmetry.…”
Section: Resultsmentioning
confidence: 99%
“…[ 36 ] Therefore, the roughness calculated with help of the amplitude measurements is more representative than the one done on basis of the measurements of the z ‐axis position. [ 37 ]…”
Section: Resultsmentioning
confidence: 99%
“…Other considerations, such as the coupling of normal and lateral forces due to the cantilever tilt, 40 should also be considered when interpreting tip-sample interactions.…”
Section: Torsional To Lateral Conversionmentioning
confidence: 99%