Journal article

Spring constant calibration of atomic force microscope cantilevers of arbitrary shape

JE Sader, JA Sanelli, BD Adamson, JP Monty, X Wei, SA Crawford, JR Friend, I Marusic, P Mulvaney, EJ Bieske

Review of Scientific Instruments | AMER INST PHYSICS | Published : 2012

Abstract

The spring constant of an atomic force microscope cantilever is often needed for quantitative measurements. The calibration method of Sader [Rev. Sci. Instrum. 70, 3967 (1999)]10.1063/1.1150021 for a rectangular cantilever requires measurement of the resonant frequency and quality factor in fluid (typically air), and knowledge of its plan view dimensions. This intrinsically uses the hydrodynamic function for a cantilever of rectangular plan view geometry. Here, we present hydrodynamic functions for a series of irregular and non-rectangular atomic force microscope cantilevers that are commonly used in practice. Cantilever geometries of arrow shape, small aspect ratio rectangular, quasi-rectan..

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Funding Acknowledgements

The authors would like to thank the Melbourne Centre for Nanofabrication for access to the MSA-400 Micro System Analyzer, and Toby Ban, Jerome Eichenberger, and Mario Pineda from Polytec Headquarters, Irvine, CA, for use of the MSA-500 Micro System Analyzer. This research was supported by the Australian Research Council Grants Scheme. An iPhone application implementing the general method for the cantilevers used in this study is available from: http://www.ampc.ms.unimelb.edu.au/afm/.