| An analytic model for accurate spring constant calibration of rectangular atomic force microscope cantilevers | |
Li R; Ye HF; Zhang WS; Ma GJ; Su YW(苏业旺) ; Li, R (reprint author), Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China.
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| Source Publication | SCIENTIFIC REPORTS
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| 2015-10-29 | |
| Volume | 5Pages:15828 |
| ISSN | 2045-2322 |
| Abstract | Spring constant calibration of the atomic force microscope (AFM) cantilever is of fundamental importance for quantifying the force between the AFM cantilever tip and the sample. The calibration within the framework of thin plate theory undoubtedly has a higher accuracy and broader scope than that within the well-established beam theory. However, thin plate theory-based accurate analytic determination of the constant has been perceived as an extremely difficult issue. In this paper, we implement the thin plate theory-based analytic modeling for the static behavior of rectangular AFM cantilevers, which reveals that the three-dimensional effect and Poisson effect play important roles in accurate determination of the spring constants. A quantitative scaling law is found that the normalized spring constant depends only on the Poisson's ratio, normalized dimension and normalized load coordinate. Both the literature and our refined finite element model validate the present results. The developed model is expected to serve as the benchmark for accurate calibration of rectangular AFM cantilevers. |
| Subject Area | 基础力学 |
| DOI | 10.1038/srep15828 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000363625600001 |
| WOS Keyword | DEVICES |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| Funding Organization | This work was supported by the National Natural Science Foundation of China (grants 11302038, 11572323 and 11302037) and Fundamental Research Funds for the Central Universities of China (grant DUT15LK14). Y.S. acknowledges the support from Chinese Academy of Sciences via the "Hundred Talent program". |
| Department | LNM苏业旺 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/58339 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Li, R (reprint author), Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China. |
| Recommended Citation GB/T 7714 | Li R,Ye HF,Zhang WS,et al. An analytic model for accurate spring constant calibration of rectangular atomic force microscope cantilevers[J]. SCIENTIFIC REPORTS,2015,5:15828. |
| APA | Li R,Ye HF,Zhang WS,Ma GJ,苏业旺,&Li, R .(2015).An analytic model for accurate spring constant calibration of rectangular atomic force microscope cantilevers.SCIENTIFIC REPORTS,5,15828. |
| MLA | Li R,et al."An analytic model for accurate spring constant calibration of rectangular atomic force microscope cantilevers".SCIENTIFIC REPORTS 5(2015):15828. |
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| An analytic model fo（854KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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