2015
DOI: 10.3390/s150101998
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Design and Fabrication of Interdigital Nanocapacitors Coated with HfO2

Abstract: In this article nickel interdigital capacitors were fabricated on top of silicon substrates. The capacitance of the interdigital capacitor was optimized by coating the electrodes with a 60 nm layer of HfO2. An analytical solution of the capacitance was compared to electromagnetic simulations using COMSOL and with experimental measurements. Results show that modeling interdigital capacitors using Finite Element Method software such as COMSOL is effective in the design and electrical characterization of these tr… Show more

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Cited by 22 publications
(12 citation statements)
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“…The change in mass on the surface of a QCM is related to the shift in resonance frequency using the Sauerbrey equation [ 69 ], which is written as follows: where Δ m is the change in mass on the surface of the QCM, a is the surface area of the gold-coated region of QCM, ρ q is the density of quartz, µ q is the shear modulus of quartz, f 0 is the resonance frequency of blank QCM, and Δ f is the shift in resonance frequency caused by change in mass. In case of IDE capacitors, the capacitance reactance at drive frequency f using closed-form solution with N number of electrodes ( N > 3) [ 70 , 71 ] is calculated as follows: where C IDE is calculated using where C I and C E are calculated using where L is the length of electrodes, ε 1 is the relative permittivity of the layer coated onto the IDE, ε S is the relative permittivity of the substrate, ε 0 is the relative permittivity of free space, K ( k ) is the complete integral of the first kind with modulus k , , , , , , W is the width of each electrode, and G is the gap between the IDE.…”
Section: Resultsmentioning
confidence: 99%
“…The change in mass on the surface of a QCM is related to the shift in resonance frequency using the Sauerbrey equation [ 69 ], which is written as follows: where Δ m is the change in mass on the surface of the QCM, a is the surface area of the gold-coated region of QCM, ρ q is the density of quartz, µ q is the shear modulus of quartz, f 0 is the resonance frequency of blank QCM, and Δ f is the shift in resonance frequency caused by change in mass. In case of IDE capacitors, the capacitance reactance at drive frequency f using closed-form solution with N number of electrodes ( N > 3) [ 70 , 71 ] is calculated as follows: where C IDE is calculated using where C I and C E are calculated using where L is the length of electrodes, ε 1 is the relative permittivity of the layer coated onto the IDE, ε S is the relative permittivity of the substrate, ε 0 is the relative permittivity of free space, K ( k ) is the complete integral of the first kind with modulus k , , , , , , W is the width of each electrode, and G is the gap between the IDE.…”
Section: Resultsmentioning
confidence: 99%
“…The capacitance of a coplanar sensor with two dielectric materials has been considered previously by many authors [33,34,35,36,37,38]. A good approximation of the capacitance calculation for the coplanar strip electrodes model is the conformal mapping technique (CMT) [28,30].…”
Section: Design Methodologymentioning
confidence: 99%
“…1is provided only to present all parameters that affects capacity value of standard parallel plate capacitor or some specific planar capacitive sensor structures. More sophisticated equation [2] that contains the lines width and spacing, thickness and relative permittivity of substrate and surrounding environment and many more parameters, is required to calculate capacity of planar comb sensor structure. It is therefore recommended to use some of the available multiphysics software tools to model and calculate the parameters of specific sensor structure.…”
Section: Capacitive Sensing Principlementioning
confidence: 99%