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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Main Authors: Dennis van Vörden, Manfred Lange, Merlin Schmuck, Nico Schmidt, Rolf Möller
Format: Article
Language:English
Published: Beilstein-Institut 2012-11-01
Series:Beilstein Journal of Nanotechnology
Subjects:
Online Access:https://doi.org/10.3762/bjnano.3.90
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spelling 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
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