ArticleBeilstein journal of nanotechnology2016
Generalized Hertz model for bimodal nanomechanical mapping.
Article in Beilstein journal of nanotechnology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Advances in nanomechanical property mapping by atomic force microscopy.Nanoscale advances · 2025Review
- Post-Processing PEEK 3D-Printed Parts: Experimental Investigation of Annealing on Microscale and Macroscale Properties.Polymers · 2025Article
- Nanoscale Rheology: Dynamic Mechanical Analysis over a Broad and Continuous Frequency Range Using Photothermal Actuation Atomic Force Microscopy.Macromolecules · 2024Article
- Article
- Light-induced modulation of viscoelastic properties in azobenzene polymers.Nanophotonics (Berlin, Germany) · 2024Article
- Exploring internal structures and properties of terpolymer fibers via real-space characterizations.Beilstein journal of nanotechnology · 2023Article
- Quantitative Visualization of the Nanomechanical Young's Modulus of Soft Materials by Atomic Force Microscopy.Nanomaterials (Basel, Switzerland) · 2021Article
- High-Speed Nanomechanical Mapping of the Early Stages of Collagen Growth by Bimodal Force Microscopy.ACS nano · 2021Article
- Cantilever signature of tip detachment during contact resonance AFM.Beilstein journal of nanotechnology · 2021Article
- A natural impact-resistant bicontinuous composite nanoparticle coating.Nature materials · 2020Article
- Nanoscale chemical and mechanical heterogeneity of human dentin characterized by AFM-IR and bimodal AFM.Journal of advanced research · 2020Article
- Fast and high-resolution mapping of elastic properties of biomolecules and polymers with bimodal AFM.Nature protocols · 2018Article
- Nonlinear couplings and energy transfers in micro- and nano-mechanical resonators: intermodal coupling, internal resonance and synchronization.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2018Review
- High-veracity functional imaging in scanning probe microscopy via Graph-Bootstrapping.Nature communications · 2018Article
- Background data for modulus mapping high-performance polyethylene fiber morphologies.Data in brief · 2017Article
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5 authors.
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Abstract
Bimodal atomic force microscopy uses a cantilever that is simultaneously driven at two of its eigenmodes (resonant modes). Parameters associated with both resonances can be measured and used to extract quantitative nanomechanical information about the sample surface. Driving the first eigenmode at a large amplitude and a higher eigenmode at a small amplitude simultaneously provides four independent observables that are sensitive to the tip-sample nanomechanical interaction parameters. To demonstrate this, a generalized theoretical framework for extracting nanomechanical sample properties from bimodal experiments is presented based on Hertzian contact mechanics. Three modes of operation for measuring cantilever parameters are considered: amplitude, phase, and frequency modulation. The experimental equivalence of all three modes is demonstrated on measurements of the second eigenmode parameters. The contact mechanics theory is then extended to power-law tip shape geometries, which is applied to analyze the experimental data and extract a shape and size of the tip interacting with a polystyrene surface.
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