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Stress-Insensitive Resonant Graphene Mass Sensing via Frequency Ratio

1
School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100191, China
2
Key Laboratory of Quantum Sensing Technology (Beihang University), Ministry of Industry and Information Technology, Beijing 100191, China
*
Authors to whom correspondence should be addressed.
Sensors 2019, 19(13), 3027; https://doi.org/10.3390/s19133027
Received: 18 May 2019 / Revised: 2 July 2019 / Accepted: 4 July 2019 / Published: 9 July 2019
(This article belongs to the Special Issue Applications of Graphene-Based Materials in Sensors)
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Abstract

Herein, a peripherally clamped stretched square monolayer graphene sheet with a side length of 10 nm was demonstrated as a resonator for atomic-scale mass sensing via molecular dynamics (MD) simulation. Then, a novel method of mass determination using the first three resonant modes (mode11, mode21 and mode22) was developed to avoid the disturbance of stress fluctuation in graphene. MD simulation results indicate that improving the prestress in stretched graphene increases the sensitivity significantly. Unfortunately, it is difficult to determine the mass accurately by the stress-reliant fundamental frequency shift. However, the absorbed mass in the middle of graphene sheets decreases the resonant frequency of mode11 dramatically while having negligible effect on that of mode21 and mode22, which implies that the latter two frequency modes are appropriate for compensating the stress-induced frequency shift of mode11. Hence, the absorbed mass, with a resolution of 3.3 × 10−22 g, is found using the frequency ratio of mode11 to mode21 or mode22, despite the unstable prestress ranging from 32 GPa to 47 GPa. This stress insensitivity contributes to the applicability of the graphene-based resonant mass sensor in real applications. View Full-Text
Keywords: stretched graphene resonator; mass sensor; resonant mode; frequency ratio; molecular dynamics simulation stretched graphene resonator; mass sensor; resonant mode; frequency ratio; molecular dynamics simulation
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Xiao, X.; Fan, S.-C.; Li, C.; Xing, W.-W. Stress-Insensitive Resonant Graphene Mass Sensing via Frequency Ratio. Sensors 2019, 19, 3027.

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