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Calibrating torsional eigenmodes of micro cantileversfor dynamic measurement of frictional forces
KTH, School of Engineering Sciences (SCI).
KTH, School of Engineering Sciences (SCI), Applied Physics, Nanostructure Physics.ORCID iD: 0000-0001-8199-5510
KTH, School of Engineering Sciences (SCI), Applied Physics, Nanostructure Physics.ORCID iD: 0000-0003-0675-974X
KTH, School of Engineering Sciences (SCI), Applied Physics, Nanostructure Physics.ORCID iD: 0000-0001-8534-6577
(English)Manuscript (preprint) (Other academic)
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-228317OAI: oai:DiVA.org:kth-228317DiVA, id: diva2:1209045
Note

QC 20180522

Available from: 2018-05-21 Created: 2018-05-21 Last updated: 2018-05-23Bibliographically approved
In thesis
1. Investigating nano-scale viscous and elastic forces withintermodulation: Studies in multifrequency atomic force microscopy
Open this publication in new window or tab >>Investigating nano-scale viscous and elastic forces withintermodulation: Studies in multifrequency atomic force microscopy
2018 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Investigating visco-elastic forces at the nanometer-scale is important to thecharacterization of soft materials. A quantitative force measurement can be ob-tained using an atomic force microscope (AFM) with a calibrated force transducer(the AFM cantilever). In this thesis, we discuss and evaluate simple methods ofcalibration and we use these calibrations to measure dynamic force quadraturecurves for both normal and in-plane tip-surface forces using Intermodulation AFM(ImAFM).

ImAFM utilizes the nonlinearity of the tip-surface force by measuring the mix-ing between two or more drive frequencies placed close to a resonance of the AFMcantilever. The intermodulation response at many mixing frequencies provides ad-ditional observables, useful for characterization of materials. We use ImAFM nearthe first flexural resonance to measure visco-elastic materials and we show that sur-face motion plays an important role in the analysis of soft samples. To explain ourmeasurements we derive a simple model where the surface position is described byan exponential relaxation when perturbed from its equilibrium. Through numericalsimulations of this model we explain experiments for many different soft sampleswith varying properties. We further apply the intermodulation technique to softsamples in liquid.

ImAFM at the first torsional resonance frequency induces motion of the tip in-plane with the surface, enabling friction measurements between the tip and sample.Due to the high torsional resonance frequency, the tip velocity can reach severalcm/s, many orders of magnitude higher than typical AFM friction measurements.By measuring the amplitude dependence of the dynamic force quadrature curves,we can resolve the transition between the tip sticking to the surface, through stick-slip to free sliding motion.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2018. p. 90
Series
TRITA-SCI-FOU ; 2018:17
Keywords
Atomic Force Microscopy, Nonlinear dynamics, Soft materials, High- speed friction measurements, Modeling and numerical simulations
National Category
Condensed Matter Physics
Research subject
Physics
Identifiers
urn:nbn:se:kth:diva-228322 (URN)978-91-7729-802-1 (ISBN)
Public defence
2018-06-15, FB42, Albanova Universitetscentrum, Roslagstullsbacken 21, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 20180522

Available from: 2018-05-22 Created: 2018-05-21 Last updated: 2018-05-23Bibliographically approved

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Borgani, RiccardoForchheimer, DanielHaviland, David B.

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