Compensation of Thermal Gradients Effects on a Quartz Crystal Microbalance
Quartz Crystal Microbalances (QCM) are widely used instruments thanks to their stability, low mass, and low cost. Nevertheless, the sensitivity to temperature is their main drawback and is often a driver for their design. Though the crystal average temperature is mostly considered as the only distur...
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Format: | Article |
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MDPI AG
2022-12-01
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Series: | Sensors |
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Online Access: | https://www.mdpi.com/1424-8220/23/1/24 |
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author | Marianna Magni Diego Scaccabarozzi Bortolino Saggin |
author_facet | Marianna Magni Diego Scaccabarozzi Bortolino Saggin |
author_sort | Marianna Magni |
collection | DOAJ |
description | Quartz Crystal Microbalances (QCM) are widely used instruments thanks to their stability, low mass, and low cost. Nevertheless, the sensitivity to temperature is their main drawback and is often a driver for their design. Though the crystal average temperature is mostly considered as the only disturbance, temperature affects the QCM measurements also through the in-plane temperature gradients, an effect identified in the past but mostly neglected. Recently, it has been shown that this effect can prevail over that of the average temperature in implementations where the heat for thermal control is released directly on the crystal through deposited film heaters. In this study, the effect of temperature gradients for this kind of crystal is analyzed, the sensitivity of frequency to the average temperature gradient on the electrode border is determined, and a correction is proposed and verified. A numerical thermal model of the QCM has been created to determine the temperature gradients on the electrode borders. The frequency versus temperature-gradient function has been experimentally determined in different thermal conditions. The correction function has been eventually applied to a QCM implementing a crystal of the same manufacturing lot as the one used for the characterization. The residual errors after the implementation of the correction of both average temperature and temperature gradients were always lower than 5% of the initial temperature disturbance. Moreover, using the correlation between the heater power dissipation and the generated temperature gradients, it has been shown that an effective correction strategy can be based on the measurement of the power delivered to the crystal without the determination of the temperature gradient. |
first_indexed | 2024-03-09T09:41:33Z |
format | Article |
id | doaj.art-4266be7fd08b47389e86dd77122b4b82 |
institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-03-09T09:41:33Z |
publishDate | 2022-12-01 |
publisher | MDPI AG |
record_format | Article |
series | Sensors |
spelling | doaj.art-4266be7fd08b47389e86dd77122b4b822023-12-02T00:52:41ZengMDPI AGSensors1424-82202022-12-012312410.3390/s23010024Compensation of Thermal Gradients Effects on a Quartz Crystal MicrobalanceMarianna Magni0Diego Scaccabarozzi1Bortolino Saggin2Department of Mechanical Engineering Politecnico di Milano, Polo Territoriale di Lecco, Via G. Previati 1/c, 23900 Lecco, ItalyDepartment of Mechanical Engineering Politecnico di Milano, Polo Territoriale di Lecco, Via G. Previati 1/c, 23900 Lecco, ItalyDepartment of Mechanical Engineering Politecnico di Milano, Polo Territoriale di Lecco, Via G. Previati 1/c, 23900 Lecco, ItalyQuartz Crystal Microbalances (QCM) are widely used instruments thanks to their stability, low mass, and low cost. Nevertheless, the sensitivity to temperature is their main drawback and is often a driver for their design. Though the crystal average temperature is mostly considered as the only disturbance, temperature affects the QCM measurements also through the in-plane temperature gradients, an effect identified in the past but mostly neglected. Recently, it has been shown that this effect can prevail over that of the average temperature in implementations where the heat for thermal control is released directly on the crystal through deposited film heaters. In this study, the effect of temperature gradients for this kind of crystal is analyzed, the sensitivity of frequency to the average temperature gradient on the electrode border is determined, and a correction is proposed and verified. A numerical thermal model of the QCM has been created to determine the temperature gradients on the electrode borders. The frequency versus temperature-gradient function has been experimentally determined in different thermal conditions. The correction function has been eventually applied to a QCM implementing a crystal of the same manufacturing lot as the one used for the characterization. The residual errors after the implementation of the correction of both average temperature and temperature gradients were always lower than 5% of the initial temperature disturbance. Moreover, using the correlation between the heater power dissipation and the generated temperature gradients, it has been shown that an effective correction strategy can be based on the measurement of the power delivered to the crystal without the determination of the temperature gradient.https://www.mdpi.com/1424-8220/23/1/24QCMTGACAMcalibrationuniform temperaturethermal gradient |
spellingShingle | Marianna Magni Diego Scaccabarozzi Bortolino Saggin Compensation of Thermal Gradients Effects on a Quartz Crystal Microbalance Sensors QCM TGA CAM calibration uniform temperature thermal gradient |
title | Compensation of Thermal Gradients Effects on a Quartz Crystal Microbalance |
title_full | Compensation of Thermal Gradients Effects on a Quartz Crystal Microbalance |
title_fullStr | Compensation of Thermal Gradients Effects on a Quartz Crystal Microbalance |
title_full_unstemmed | Compensation of Thermal Gradients Effects on a Quartz Crystal Microbalance |
title_short | Compensation of Thermal Gradients Effects on a Quartz Crystal Microbalance |
title_sort | compensation of thermal gradients effects on a quartz crystal microbalance |
topic | QCM TGA CAM calibration uniform temperature thermal gradient |
url | https://www.mdpi.com/1424-8220/23/1/24 |
work_keys_str_mv | AT mariannamagni compensationofthermalgradientseffectsonaquartzcrystalmicrobalance AT diegoscaccabarozzi compensationofthermalgradientseffectsonaquartzcrystalmicrobalance AT bortolinosaggin compensationofthermalgradientseffectsonaquartzcrystalmicrobalance |