Investigation of temperature sensitivity of a MEMS gravimeter based on geometric anti-spring

Belwanshi, V. , Prasad, A. , Toland, K. , Middlemiss, R. , Paul, D. and Hammond, G. (2022) Investigation of temperature sensitivity of a MEMS gravimeter based on geometric anti-spring. Review of Scientific Instruments, 93(12), 125002. (doi: 10.1063/5.0114664) (PMID:36586950)

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Abstract

This paper describes a technique for temperature sensitivity or thermal sag measurements of a geometric anti-spring based microelectromechanical system (MEMS) gravimeter (Wee-g). The Wee-g MEMS gravimeter is currently fabricated on a (100) silicon wafer using standard micro-nano fabrication techniques. The thermal behavior of silicon indicates that the Young’s modulus of silicon decreases with increase in temperature (∼64 ppm/K). This leads to a softening of the silicon material, resulting in the proof mass displacing (or sagging) under the influence of increasing temperature. It results in a change in the measured gravity, which is expressed as temperature sensitivity in terms of change in gravity per degree temperature. The temperature sensitivity for the silicon based MEMS gravimeter is found to be 60.14–64.87, 61.76, and 62.76 µGal/mK for experimental, finite element analysis (FEA) simulation, and analytical calculations, respectively. It suggests that the gravimeter's temperature sensitivity is dependent on the material properties used to fabricate the MEMS devices. In this paper, the experimental measurements of thermal sag are presented along with analytical calculations and simulations of the effect using FEA. The bespoke optical measurement system to quantify the thermal sag is also described. The results presented are an essential step toward the development of temperature insensitive MEMS gravimeters.

Item Type:Articles
Additional Information:This work was funded by the UK National Quantum Technology Hubs in Quantum Enhanced Imaging (Grant No. EP/M01326X/1), Sensing and Timing (Grant No. EP/T001046/1), NEWTON-g project funded by the EC’s Horizon 2020 program, under the FETOPEN-2016/2017 call (Grant Agreement No. 801221) and Royal Academy of Engineering Grant Nos. CiET2021_123 and RF/201819/18/83.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Belwanshi, Dr Vinod and Hammond, Professor Giles and Toland, Dr Karl and Paul, Professor Douglas and Middlemiss, Dr Richard and Prasad, Dr Abhinav
Creator Roles:
Belwanshi, V.Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Validation, Writing – original draft, Writing – review and editing
Prasad, A.Conceptualization, Writing – review and editing
Toland, K.Formal analysis, Writing – review and editing
Middlemiss, R.Writing – review and editing
Paul, D.Funding acquisition, Writing – review and editing
Hammond, G.Conceptualization, Funding acquisition, Writing – review and editing
Authors: Belwanshi, V., Prasad, A., Toland, K., Middlemiss, R., Paul, D., and Hammond, G.
College/School:College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
College of Science and Engineering > School of Physics and Astronomy
Research Centre:College of Science and Engineering > School of Physics and Astronomy > Institute for Gravitational Research
Journal Name:Review of Scientific Instruments
Publisher:AIP Publishing
ISSN:0034-6748
ISSN (Online):1089-7623
Published Online:01 December 2022
Copyright Holders:Copyright © 2022 The Authors
First Published:First published in Review of Scientific Instruments 93(12): 125002
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
305673Quantum Hub 2 - Birmingham - UK Quantum Technology Hub for Sensors and TimingDouglas PaulEngineering and Physical Sciences Research Council (EPSRC)EP/T001046/1P&S - Physics & Astronomy
190841UK Quantum Technology Hub in Enhanced Quantum ImagingMiles PadgettEngineering and Physical Sciences Research Council (EPSRC)EP/M01326X/1P&S - Physics & Astronomy
305114RAEng Fellowship Richard MiddlemissRichard MiddlemissRoyal Academy of Engineering (RAE)RF/201819/18/83ENG - Electronics & Nanoscale Engineering