Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow Regime

We present a novel analysis of gas damping in capacitive MEMS transducers that is based on a simple analytical model, assisted by Monte-Carlo simulations performed in Molflow+ to obtain an estimate for the geometry dependent gas diffusion time. This combination provides results with minimal computat...

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Main Authors: Boris A. Boom, Alessandro Bertolini, Eric Hennes, Johannes F. J. van den Brand
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/7/2566
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author Boris A. Boom
Alessandro Bertolini
Eric Hennes
Johannes F. J. van den Brand
author_facet Boris A. Boom
Alessandro Bertolini
Eric Hennes
Johannes F. J. van den Brand
author_sort Boris A. Boom
collection DOAJ
description We present a novel analysis of gas damping in capacitive MEMS transducers that is based on a simple analytical model, assisted by Monte-Carlo simulations performed in Molflow+ to obtain an estimate for the geometry dependent gas diffusion time. This combination provides results with minimal computational expense and through freely available software, as well as insight into how the gas damping depends on the transducer geometry in the molecular flow regime. The results can be used to predict damping for arbitrary gas mixtures. The analysis was verified by experimental results for both air and helium atmospheres and matches these data to within 15% over a wide range of pressures.
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spelling doaj.art-a2fa1b424cf6469db453476660603b802023-11-21T14:24:30ZengMDPI AGSensors1424-82202021-04-01217256610.3390/s21072566Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow RegimeBoris A. Boom0Alessandro Bertolini1Eric Hennes2Johannes F. J. van den Brand3National Institute for Subatomic Physics, Science Park 105, 1098 XG Amsterdam, The NetherlandsNational Institute for Subatomic Physics, Science Park 105, 1098 XG Amsterdam, The NetherlandsNational Institute for Subatomic Physics, Science Park 105, 1098 XG Amsterdam, The NetherlandsNational Institute for Subatomic Physics, Science Park 105, 1098 XG Amsterdam, The NetherlandsWe present a novel analysis of gas damping in capacitive MEMS transducers that is based on a simple analytical model, assisted by Monte-Carlo simulations performed in Molflow+ to obtain an estimate for the geometry dependent gas diffusion time. This combination provides results with minimal computational expense and through freely available software, as well as insight into how the gas damping depends on the transducer geometry in the molecular flow regime. The results can be used to predict damping for arbitrary gas mixtures. The analysis was verified by experimental results for both air and helium atmospheres and matches these data to within 15% over a wide range of pressures.https://www.mdpi.com/1424-8220/21/7/2566capacitance transducersfree molecular flowgas dampingMonte Carlo methodsQ measurement
spellingShingle Boris A. Boom
Alessandro Bertolini
Eric Hennes
Johannes F. J. van den Brand
Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow Regime
Sensors
capacitance transducers
free molecular flow
gas damping
Monte Carlo methods
Q measurement
title Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow Regime
title_full Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow Regime
title_fullStr Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow Regime
title_full_unstemmed Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow Regime
title_short Gas Damping in Capacitive MEMS Transducers in the Free Molecular Flow Regime
title_sort gas damping in capacitive mems transducers in the free molecular flow regime
topic capacitance transducers
free molecular flow
gas damping
Monte Carlo methods
Q measurement
url https://www.mdpi.com/1424-8220/21/7/2566
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AT alessandrobertolini gasdampingincapacitivememstransducersinthefreemolecularflowregime
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AT johannesfjvandenbrand gasdampingincapacitivememstransducersinthefreemolecularflowregime