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Generalized Hertz model for bimodal nanomechanical mapping

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...

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Autores principales: Labuda, Aleksander, Kocuń, Marta, Meinhold, Waiman, Walters, Deron, Proksch, Roger
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Beilstein-Institut 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4979904/
https://www.ncbi.nlm.nih.gov/pubmed/27547614
http://dx.doi.org/10.3762/bjnano.7.89
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author Labuda, Aleksander
Kocuń, Marta
Meinhold, Waiman
Walters, Deron
Proksch, Roger
author_facet Labuda, Aleksander
Kocuń, Marta
Meinhold, Waiman
Walters, Deron
Proksch, Roger
author_sort Labuda, Aleksander
collection PubMed
description 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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spelling pubmed-49799042016-08-19 Generalized Hertz model for bimodal nanomechanical mapping Labuda, Aleksander Kocuń, Marta Meinhold, Waiman Walters, Deron Proksch, Roger Beilstein J Nanotechnol Full Research Paper 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. Beilstein-Institut 2016-07-05 /pmc/articles/PMC4979904/ /pubmed/27547614 http://dx.doi.org/10.3762/bjnano.7.89 Text en Copyright © 2016, Labuda et al. https://creativecommons.org/licenses/by/2.0https://www.beilstein-journals.org/bjnano/termsThis is an Open Access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The license is subject to the Beilstein Journal of Nanotechnology terms and conditions: (https://www.beilstein-journals.org/bjnano/terms)
spellingShingle Full Research Paper
Labuda, Aleksander
Kocuń, Marta
Meinhold, Waiman
Walters, Deron
Proksch, Roger
Generalized Hertz model for bimodal nanomechanical mapping
title Generalized Hertz model for bimodal nanomechanical mapping
title_full Generalized Hertz model for bimodal nanomechanical mapping
title_fullStr Generalized Hertz model for bimodal nanomechanical mapping
title_full_unstemmed Generalized Hertz model for bimodal nanomechanical mapping
title_short Generalized Hertz model for bimodal nanomechanical mapping
title_sort generalized hertz model for bimodal nanomechanical mapping
topic Full Research Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4979904/
https://www.ncbi.nlm.nih.gov/pubmed/27547614
http://dx.doi.org/10.3762/bjnano.7.89
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