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Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers
Measurement of force on a micro- or nano-Newton scale is important when exploring the mechanical properties of materials in the biophysics and nanomechanical fields. The atomic force microscope (AFM) is widely used in microforce measurement. The cantilever probe works as an AFM force sensor, and the...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4435172/ https://www.ncbi.nlm.nih.gov/pubmed/25763650 http://dx.doi.org/10.3390/s150305865 |
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author | Song, Yunpeng Wu, Sen Xu, Linyan Fu, Xing |
author_facet | Song, Yunpeng Wu, Sen Xu, Linyan Fu, Xing |
author_sort | Song, Yunpeng |
collection | PubMed |
description | Measurement of force on a micro- or nano-Newton scale is important when exploring the mechanical properties of materials in the biophysics and nanomechanical fields. The atomic force microscope (AFM) is widely used in microforce measurement. The cantilever probe works as an AFM force sensor, and the spring constant of the cantilever is of great significance to the accuracy of the measurement results. This paper presents a normal spring constant calibration method with the combined use of an electromagnetic balance and a homemade AFM head. When the cantilever presses the balance, its deflection is detected through an optical lever integrated in the AFM head. Meanwhile, the corresponding bending force is recorded by the balance. Then the spring constant can be simply calculated using Hooke’s law. During the calibration, a feedback loop is applied to control the deflection of the cantilever. Errors that may affect the stability of the cantilever could be compensated rapidly. Five types of commercial cantilevers with different shapes, stiffness, and operating modes were chosen to evaluate the performance of our system. Based on the uncertainty analysis, the expanded relative standard uncertainties of the normal spring constant of most measured cantilevers are believed to be better than 2%. |
format | Online Article Text |
id | pubmed-4435172 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-44351722015-05-19 Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers Song, Yunpeng Wu, Sen Xu, Linyan Fu, Xing Sensors (Basel) Article Measurement of force on a micro- or nano-Newton scale is important when exploring the mechanical properties of materials in the biophysics and nanomechanical fields. The atomic force microscope (AFM) is widely used in microforce measurement. The cantilever probe works as an AFM force sensor, and the spring constant of the cantilever is of great significance to the accuracy of the measurement results. This paper presents a normal spring constant calibration method with the combined use of an electromagnetic balance and a homemade AFM head. When the cantilever presses the balance, its deflection is detected through an optical lever integrated in the AFM head. Meanwhile, the corresponding bending force is recorded by the balance. Then the spring constant can be simply calculated using Hooke’s law. During the calibration, a feedback loop is applied to control the deflection of the cantilever. Errors that may affect the stability of the cantilever could be compensated rapidly. Five types of commercial cantilevers with different shapes, stiffness, and operating modes were chosen to evaluate the performance of our system. Based on the uncertainty analysis, the expanded relative standard uncertainties of the normal spring constant of most measured cantilevers are believed to be better than 2%. MDPI 2015-03-10 /pmc/articles/PMC4435172/ /pubmed/25763650 http://dx.doi.org/10.3390/s150305865 Text en © 2015 by the authors; licensee MDPI, Basel, Switzerland. https://creativecommons.org/licenses/by/4.0/This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ). |
spellingShingle | Article Song, Yunpeng Wu, Sen Xu, Linyan Fu, Xing Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers |
title | Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers |
title_full | Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers |
title_fullStr | Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers |
title_full_unstemmed | Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers |
title_short | Accurate Calibration and Uncertainty Estimation of the Normal Spring Constant of Various AFM Cantilevers |
title_sort | accurate calibration and uncertainty estimation of the normal spring constant of various afm cantilevers |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4435172/ https://www.ncbi.nlm.nih.gov/pubmed/25763650 http://dx.doi.org/10.3390/s150305865 |
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