Spring constant of a tuning-fork sensor for dynamic force microscopy
We present an overview of experimental and numerical methods to determine the spring constant of a quartz tuning fork in qPlus configuration. The simple calculation for a rectangular cantilever is compared to the values obtained by the analysis of the thermal excitation and by the direct mechanical...
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2012-11-01
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Series: | Beilstein Journal of Nanotechnology |
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Online Access: | https://doi.org/10.3762/bjnano.3.90 |
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doaj-bb76d5b5af1044f4ae5a4defe69efc6f2020-11-24T21:50:10ZengBeilstein-InstitutBeilstein Journal of Nanotechnology2190-42862012-11-013180981610.3762/bjnano.3.902190-4286-3-90Spring constant of a tuning-fork sensor for dynamic force microscopyDennis van Vörden0Manfred Lange1Merlin Schmuck2Nico Schmidt3Rolf Möller4Faculty of Physics, University of Duisburg-Essen, Lotharstr. 1–21 47048 Duisburg, GermanyFaculty of Physics, University of Duisburg-Essen, Lotharstr. 1–21 47048 Duisburg, GermanyFaculty of Physics, University of Duisburg-Essen, Lotharstr. 1–21 47048 Duisburg, GermanyFaculty of Physics, University of Duisburg-Essen, Lotharstr. 1–21 47048 Duisburg, GermanyFaculty of Physics, University of Duisburg-Essen, Lotharstr. 1–21 47048 Duisburg, GermanyWe present an overview of experimental and numerical methods to determine the spring constant of a quartz tuning fork in qPlus configuration. The simple calculation for a rectangular cantilever is compared to the values obtained by the analysis of the thermal excitation and by the direct mechanical measurement of the force versus displacement. To elucidate the difference, numerical simulations were performed taking account of the real geometry including the glue that is used to mount the tuning fork.https://doi.org/10.3762/bjnano.3.90atomic force microscopyfinite element methodspring constantthermal fluctuationtuning fork |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Dennis van Vörden Manfred Lange Merlin Schmuck Nico Schmidt Rolf Möller |
spellingShingle |
Dennis van Vörden Manfred Lange Merlin Schmuck Nico Schmidt Rolf Möller Spring constant of a tuning-fork sensor for dynamic force microscopy Beilstein Journal of Nanotechnology atomic force microscopy finite element method spring constant thermal fluctuation tuning fork |
author_facet |
Dennis van Vörden Manfred Lange Merlin Schmuck Nico Schmidt Rolf Möller |
author_sort |
Dennis van Vörden |
title |
Spring constant of a tuning-fork sensor for dynamic force microscopy |
title_short |
Spring constant of a tuning-fork sensor for dynamic force microscopy |
title_full |
Spring constant of a tuning-fork sensor for dynamic force microscopy |
title_fullStr |
Spring constant of a tuning-fork sensor for dynamic force microscopy |
title_full_unstemmed |
Spring constant of a tuning-fork sensor for dynamic force microscopy |
title_sort |
spring constant of a tuning-fork sensor for dynamic force microscopy |
publisher |
Beilstein-Institut |
series |
Beilstein Journal of Nanotechnology |
issn |
2190-4286 |
publishDate |
2012-11-01 |
description |
We present an overview of experimental and numerical methods to determine the spring constant of a quartz tuning fork in qPlus configuration. The simple calculation for a rectangular cantilever is compared to the values obtained by the analysis of the thermal excitation and by the direct mechanical measurement of the force versus displacement. To elucidate the difference, numerical simulations were performed taking account of the real geometry including the glue that is used to mount the tuning fork. |
topic |
atomic force microscopy finite element method spring constant thermal fluctuation tuning fork |
url |
https://doi.org/10.3762/bjnano.3.90 |
work_keys_str_mv |
AT dennisvanvorden springconstantofatuningforksensorfordynamicforcemicroscopy AT manfredlange springconstantofatuningforksensorfordynamicforcemicroscopy AT merlinschmuck springconstantofatuningforksensorfordynamicforcemicroscopy AT nicoschmidt springconstantofatuningforksensorfordynamicforcemicroscopy AT rolfmoller springconstantofatuningforksensorfordynamicforcemicroscopy |
_version_ |
1725884887424040960 |