Geometrical considerations for the design of liquid-phase biochemical sensors using a cantilever's fundamental in-plane mode
Résumé
The influence of the beam geometry on the quality factor and resonance frequency of resonant
silicon cantilever beams vibrating in their fundamental in-plane flexural mode in water has been
investigated. Compared to cantilevers vibrating in their first out-of-plane flexural mode, utilizing
the in-plane mode results in reduced damping and reduced mass loading by the surrounding
fluid. Quality factors as high as 86 have been measured in water for cantilevers with a 20 μm
thick silicon layer. Based on the experimental data, design guidelines are established for beam
dimensions that ensure maximal Q-factors and minimal mass loading by the surrounding fluid,
thus improving the limit-of-detection of mass-sensitive biochemical sensors. Elementary theory
is also presented to help explain the observed trends. Additional discussion focuses on the
tradeoffs that exist in designing liquid-phase biochemical sensors using in-plane cantilevers.
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