An analytic model for accurate spring constant calibration of rectangular atomic force microscope cantilevers

doi:10.1038/srep15828

IMECH-IR > 非线性力学国家重点实验室

	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.
发表期刊	SCIENTIFIC REPORTS
	2015-10-29
卷号	5 页码:15828
ISSN	2045-2322
摘要	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.
学科领域	基础力学
DOI	10.1038/srep15828
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000363625600001
关键词[WOS]	DEVICES
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
项目资助者	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".
课题组名称	LNM苏业旺
论文分区	一类
引用统计	被引频次：11[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/58339
专题	非线性力学国家重点实验室
通讯作者	Li, R (reprint author), Dalian Univ Technol, Dept Engn Mech, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China.
推荐引用方式 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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