A new way to find dielectric properties of liquid sample using the quartz crystal resonator (QCR)

Carvajal Ahumada, Luis Armando and Peña Pérez, Nuria and Herrera Sandoval, Oscar Leonardo and Pozo Guerrero, Francisco del and Serrano Olmedo, Jose Javier (2016). A new way to find dielectric properties of liquid sample using the quartz crystal resonator (QCR). "Sensors and Actuators A: Physical", v. 239 ; pp. 153-160. ISSN 0924-4247. https://doi.org/10.1016/j.sna.2016.01.021.

Description

Title: A new way to find dielectric properties of liquid sample using the quartz crystal resonator (QCR)
Author/s:
  • Carvajal Ahumada, Luis Armando
  • Peña Pérez, Nuria
  • Herrera Sandoval, Oscar Leonardo
  • Pozo Guerrero, Francisco del
  • Serrano Olmedo, Jose Javier
Item Type: Article
Título de Revista/Publicación: Sensors and Actuators A: Physical
Date: March 2016
ISSN: 0924-4247
Volume: 239
Subjects:
Freetext Keywords: QCR; Susceptance; Conductance; Resonance frequency; Impedance analysis
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Tecnología Fotónica y Bioingeniería
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The main objective of this article is to demonstrate by performing experimental measurements how the equivalent capacitance C0 changes when a fluid sample such as water is in contact with the crystal and to relate this change with the relative permittivity of the fluid. These measurements were compared with simulations of traditional models like Butterworth–Van Dyke (BVD). To obtain the change of C0 when the crystal is in contact with water, the relation between the series resonance frequency (fs) and frequency at minimum impedance with zero phase (fr) is used. To know these values, a new way of finding principal parameters in quartz crystal resonator (QCR) sensors, such as series resonant frequency (fs), half band half width (Γ) and maximum peak of conductance (Gm), is proposed; both for an unperturbed crystal and a crystal loaded with a liquid. The method consists in measuring the current (I) that flows through the crystal and the voltage (V) between electrodes at frequency values near to resonance (sweep frequency). Additionally, the susceptance |B| of the crystal is also measured, multiplying the 90 degrees shifted current of the crystal and its voltage, using a mixer. The DC component of this operation is proportional to the susceptance of the crystal. With the magnitudes of the admittance and susceptance, the real value of the conductance |G| is obtained for each frequency value in the sweep. The conductance and susceptance curves were fitted with a summation of Gaussian and sine functions respectively with the minor RMSE possible. The proposed method has been compared with simulations done in COMSOL Multiphysics in order to verify the experimental results with simulation data. MATLAB curve fitting toolbox was used to fit the experimental curves.

More information

Item ID: 41215
DC Identifier: http://oa.upm.es/41215/
OAI Identifier: oai:oa.upm.es:41215
DOI: 10.1016/j.sna.2016.01.021
Official URL: https://doi.org/10.1016/j.sna.2016.01.021
Deposited by: Memoria Investigacion
Deposited on: 29 Jun 2016 18:32
Last Modified: 14 Mar 2019 16:36
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