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Cantilever properties and noise figures in high-resolution non-contact atomic force microscopy

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013040310741
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dc.contributor.advisorProf. Dr. Michael Reichling
dc.creatorLübbe, Jannis Ralph Ulrich
dc.date.accessioned2013-04-03T12:32:24Z
dc.date.available2013-04-03T12:32:24Z
dc.date.issued2013-04-03T12:32:24Z
dc.identifier.urihttps://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013040310741-
dc.description.abstractDifferent methods for the determination of cantilever properties in non-contact atomic force microscopy (NC-AFM) are under investigation. A key aspect is the determination of the cantilever stiffness being essential for a quantitative NC-AFM data analysis including the extraction of the tip-surface interaction force and potential. Furthermore, a systematic analysis of the displacement noise in the cantilever oscillation detection is performed with a special focus on the thermally excited cantilever oscillation. The propagation from displacement noise to frequency shift noise is studied under consideration of the frequency response of the PLL demodulator. The effective Q-factor of cantilevers depends on the internal damping of the cantilever as well as external influences like the ambient pressure and the quality of the cantilever fixation. While the Q-factor has a strong dependence on the ambient pressure between vacuum and ambient pressure yielding a decrease by several orders of magnitude, the pressure dependence of the resonance frequency is smaller than 1% for the same pressure range. On the other hand, the resonance frequency highly depends on the mass of the tip at the end of the cantilever making its reliable prediction from known cantilever dimensions difficult. The cantilever stiffness is determined with a high-precision static measurement method and compared to dimensional and dynamic methods. Dimensional methods suffer from the uncertainty of the measured cantilever dimensions and require a precise knowledge its material properties. A dynamic method utilising the measurement of the thermally excited cantilever displacement noise to obtain cantilever properties allows to characterise unknown cantilevers but requires an elaborative measurement equipment for spectral displacement noise analysis. Having the noise propagation in the NC-AFM system fully characterised, a proposed method allows for spring constant determination from the frequency shift noise at the output of the PLL demodulator with equipment already being available in most NC-AFM setups.eng
dc.rightsNamensnennung 3.0 Unported-
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/-
dc.subjectnon-contact atomic force microscopyeng
dc.subjectNC-AFMeng
dc.subjectcantilevereng
dc.subjecteigenfrequencyeng
dc.subjectresonance frequencyeng
dc.subjectspring constanteng
dc.subjectstiffnesseng
dc.subjectQ-factoreng
dc.subjectquality factoreng
dc.subjectthermal excitationeng
dc.subjectnoiseeng
dc.subjectmounting losseng
dc.subjecttip masseng
dc.subjectambient pressureeng
dc.subjectfeedback loopeng
dc.subjectfiltereng
dc.subjectnoncontact atomic force microscopyeng
dc.subjectspectral analysiseng
dc.subjectPLLeng
dc.subjectFM-AFMeng
dc.subject.ddc530 - Physik
dc.titleCantilever properties and noise figures in high-resolution non-contact atomic force microscopyeng
dc.typeDissertation oder Habilitation [doctoralThesis]-
thesis.locationOsnabrück-
thesis.institutionUniversität-
thesis.typeDissertation [thesis.doctoral]-
thesis.date2012-11-26-
dc.contributor.refereeProf. Dr. Ernst Meyer
dc.subject.pacs07.79.Lh - Atomic force microscopes
dc.subject.pacs68.37.Ps - Atomic force microscopy (AFM)
dc.subject.pacs68.35.Gy - Mechanical properties; surface strains
dc.subject.pacs46.70.De - Beams, plates and shells
dc.subject.pacs85.85.+j - Micro- and nano-electromechanical systems (MEMS/NEMS) and devices
dc.subject.pacs46.40.Ff - Resonance, damping and dynamic stability
dc.subject.pacs46.80.+j - Measurement methods and techniques in continuum mechanics of solids
dc.subject.pacs62.20.Dc - Elasticity, elastic constants
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