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Frequency dependence of viscous and viscoelastic dissipation in coated micro-cantilevers from noise measurement

P Paolino and L Bellon1

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We measure the mechanical thermal noise of soft silicon atomic force microscope cantilevers. Using an interferometric setup, we obtain a resolution down to 10−14 m Hz−1/2 on a wide spectral range (3–105 Hz). The low frequency behavior depends dramatically on the presence of a reflective coating: almost flat spectra for uncoated cantilevers versus a 1/f like trend for coated ones. The addition of a viscoelastic term in models of the mechanical system can account for this observation. Use of Kramers–Kronig relations validate this approach with a complete determination of the response of the cantilever: a power law with a small coefficient is found for the frequency dependence of viscoelasticity due to the coating, whereas the viscous damping due to the surrounding atmosphere is accurately described by the Sader model.


PACS

46.35.+z Viscoelasticity, plasticity, viscoplasticity

07.79.Lh Atomic force microscopes

68.37.Ps Atomic force microscopy (AFM)

85.85.+j Micro- and nano-electromechanical systems (MEMS/NEMS) and devices

Subjects

Electronics and devices

Instrumentation and measurement

Surfaces, interfaces and thin films

Nanoscale science and low-D systems

Condensed matter: structural, mechanical & thermal

Dates

Issue 40 (7 October 2009)

Received 16 February 2009, in final form 7 July 2009

Published 8 September 2009



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