Euler–Bernoulli theory accurately predicts atomic force microscope cantilever shape during non-equilibrium snap-to-contact motion Article Swipe
Steven J. Eppell
,
David A. Friedenberg
,
Oliver Payton
,
Loren Picco
,
Fredy R. Zypman
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1088/1361-6528/ab6dff
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1088/1361-6528/ab6dff
We prove that the Euler-Bernoulli elastic beam theory can be reliably used to describe the dynamics of an atomic force microscope cantilever during the far from equilibrium snap-to-contact event. In conventional atomic force microscope operation, force-separation curves are obtained by post-processing voltage versus time traces produced by measuring one point on the cantilever close to the hanging end. In this article, we assess the validity of the Euler-Bernoulli equation during the snap-to-contact event. The assessment is based on a direct comparison between experiment and theory. The experiment uses Doppler vibrometry to measure displacement versus time for many points along the long axis of the cantilever. The theoretical algorithm is based on a solution of the Euler-Bernoulli equation to obtain the full shape of the cantilever as a function of time. The algorithm uses as boundary conditions, experimentally obtained information only near the hanging end of the cantilever. The solution is obtained in a manner that takes into account non-equilibrium motion. Within experimental error, the theory agrees with experiment indicating that the Euler-Bernoulli theory is appropriate to predict the cantilever kinematics during snap-to-contact. Since forces on the tip can be obtained from the instantaneous shape of the cantilever, this work should allow for computation of tip-sample forces during the snap-to-contact event from a conventional force-distance measured input.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- http://doi.org/10.1088/1361-6528/ab6dff
- OA Status
- green
- Cited By
- 2
- References
- 36
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3000785296
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3000785296Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1088/1361-6528/ab6dffDigital Object Identifier
- Title
-
Euler–Bernoulli theory accurately predicts atomic force microscope cantilever shape during non-equilibrium snap-to-contact motionWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-01-21Full publication date if available
- Authors
-
Steven J. Eppell, David A. Friedenberg, Oliver Payton, Loren Picco, Fredy R. ZypmanList of authors in order
- Landing page
-
https://doi.org/10.1088/1361-6528/ab6dffPublisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://research-information.bris.ac.uk/en/publications/7f0f0cb6-7ae6-4c6a-8290-2d41839cb6caDirect OA link when available
- Concepts
-
Cantilever, Non-contact atomic force microscopy, Bernoulli's principle, Classical mechanics, Timoshenko beam theory, Mechanics, Physics, Clamping, Materials science, Optics, Microscopy, Kelvin probe force microscope, Beam (structure), Computer science, Thermodynamics, Computer vision, Composite materialTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
-
2024: 1, 2022: 1Per-year citation counts (last 5 years)
- References (count)
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36Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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