Nonharmonic oscillations of nanosized cantilevers due to quantum-size effects

Using a one-dimensional jellium model and standard beam theory we calculate the spring constant of a vibrating nanowire cantilever. By using the asymptotic energy eigenvalues of the standing electron waves over the nanometer-sized cross-section area, the change in the grand canonical potential is ca...

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Bibliographic Details
Published in:arXiv.org 2010-08
Main Authors: Olsen, Martin, Gradin, Per, Lindefelt, Ulf, Olin, Håkan
Format: Article
Language:English
Subjects:
Beam theory (structures)
Cantilever beams
Cross-sections
Eigenvalues
Electron states
Jellium
Nanowires
Oscillations
Size effects
Spring constant
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Summary:Using a one-dimensional jellium model and standard beam theory we calculate the spring constant of a vibrating nanowire cantilever. By using the asymptotic energy eigenvalues of the standing electron waves over the nanometer-sized cross-section area, the change in the grand canonical potential is calculated and hence the force and the spring constant. As the wire is bent more electron states fits in its cross section. This has an impact on the spring"constant" which oscillates slightly with the bending of the wire. In this way we obtain an amplitude-dependent resonance frequency of the oscillations that should be detectable.
ISSN:2331-8422
DOI:10.48550/arxiv.1008.1697