Calculation of Resonant Frequencies of Silicon AFM Cantilevers

Abstract

A theoretical study of the quality and the validity range of different numerical and analytical methods of calculating of the frequency shift in measurement using microcromechanical sensor is presented. This work considered a calculating method for natural frequency in comparison with experimentally measured oscillation frequencies of microcromechanical sensor immersed in air and/or viscous medium. The numerical methods for solving the equation of resonance oscillation of the console fixed on one side are considered for calculating the natural oscillation frequencies of standard AFM cantilevers.

Micro-Weighing Based Biosensor with Adaptive Interferometry

“…The oscillation frequency of the cantilever was measured before and after transferring it to the liquid cell. The frequency decreased from 253,442 ± 23 to 98,561 ± 41 kHz, which is consistent with the model described in paper [9]. It should be noted that transferring the cantilever to a liquid not only decreases the resonant frequency, but also reduces the quality factor of oscillations by about 100 times.…”