Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor

The mass sensing superiority of a micro-/nano-mechanical resonator sensor over conventional mass spectrometry has been, or at least is being firmly established. Because the sensing mechanism of a mechanical resonator sensor is the shifts of resonant frequencies, how to link the shifts of resonant fr...

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Main Authors: Yin Zhang, Ya-Pu Zhao
Format: Article
Language:English
Published: MDPI AG 2015-06-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/15/7/14871
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author Yin Zhang
Ya-Pu Zhao
author_facet Yin Zhang
Ya-Pu Zhao
author_sort Yin Zhang
collection DOAJ
description The mass sensing superiority of a micro-/nano-mechanical resonator sensor over conventional mass spectrometry has been, or at least is being firmly established. Because the sensing mechanism of a mechanical resonator sensor is the shifts of resonant frequencies, how to link the shifts of resonant frequencies with the material properties of an analyte formulates an inverse problem. Besides the analyte/adsorbate mass, many other factors, such as position and axial force, can also cause the shifts of resonant frequencies. The in situ measurement of the adsorbate position and axial force is extremely difficult if not impossible, especially when an adsorbate is as small as a molecule or an atom. Extra instruments are also required. In this study, an inverse problem of using three resonant frequencies to determine the mass, position and axial force is formulated and solved. The accuracy of the inverse problem solving method is demonstrated, and how the method can be used in the real application of a nanomechanical resonator is also discussed. Solving the inverse problem is helpful to the development and application of a mechanical resonator sensor for two reasons: reducing extra experimental equipment and achieving better mass sensing by considering more factors.
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spelling doaj.art-01a9f9246a6b41bc946c7314dbe3a5752022-12-22T04:01:47ZengMDPI AGSensors1424-82202015-06-01157148711488610.3390/s150714871s150714871Mass and Force Sensing of an Adsorbate on a Beam Resonator SensorYin Zhang0Ya-Pu Zhao1State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaState Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaThe mass sensing superiority of a micro-/nano-mechanical resonator sensor over conventional mass spectrometry has been, or at least is being firmly established. Because the sensing mechanism of a mechanical resonator sensor is the shifts of resonant frequencies, how to link the shifts of resonant frequencies with the material properties of an analyte formulates an inverse problem. Besides the analyte/adsorbate mass, many other factors, such as position and axial force, can also cause the shifts of resonant frequencies. The in situ measurement of the adsorbate position and axial force is extremely difficult if not impossible, especially when an adsorbate is as small as a molecule or an atom. Extra instruments are also required. In this study, an inverse problem of using three resonant frequencies to determine the mass, position and axial force is formulated and solved. The accuracy of the inverse problem solving method is demonstrated, and how the method can be used in the real application of a nanomechanical resonator is also discussed. Solving the inverse problem is helpful to the development and application of a mechanical resonator sensor for two reasons: reducing extra experimental equipment and achieving better mass sensing by considering more factors.http://www.mdpi.com/1424-8220/15/7/14871mechanical resonator sensorresonant frequencyinverse problembeam
spellingShingle Yin Zhang
Ya-Pu Zhao
Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor
Sensors
mechanical resonator sensor
resonant frequency
inverse problem
beam
title Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor
title_full Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor
title_fullStr Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor
title_full_unstemmed Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor
title_short Mass and Force Sensing of an Adsorbate on a Beam Resonator Sensor
title_sort mass and force sensing of an adsorbate on a beam resonator sensor
topic mechanical resonator sensor
resonant frequency
inverse problem
beam
url http://www.mdpi.com/1424-8220/15/7/14871
work_keys_str_mv AT yinzhang massandforcesensingofanadsorbateonabeamresonatorsensor
AT yapuzhao massandforcesensingofanadsorbateonabeamresonatorsensor