The non-gravimetric quartz crystal resonator response and its application for determination of polymer shear modulus

Behling, C.; Lücklum, Ralf; Hauptmann, P.

doi:10.1088/0957-0233/9/11/014

Cited by 52 publications

(31 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The circuit parameters in the motional impedance have been given by Behling et al (1998), Lucklum et al (1999) and Hauptmann (2002, 2003) and are listed here for convenience, C q = 8Se 2 q /π 2 h q c q0 , C q = C q /(1 − 8k 2 /π 2 ), L q = π 2 /8C 0 k 2 ω 2 0 = ρ q h 3 q /8Se 2 q , R q = (η q /c q0 )/C q = η q π 2 / 8C 0 k 2 c q0 , and c q0 = c 66 + (e 2 26 /ε 22 ). For small uniform loading, Z L /Z q 2 tan(γ q /2), Eq.…”

Section: Generic Modeling Of Quartz Tsm Sensor With Loadingmentioning

confidence: 99%

Monitoring cell adhesion by using thickness shear mode acoustic wave sensors

Wang

2007

Biosensors and Bioelectronics

View full text Add to dashboard Cite

Section: Generic Modeling Of Quartz Tsm Sensor With Loadingmentioning

confidence: 99%

Monitoring cell adhesion by using thickness shear mode acoustic wave sensors

Wang

2007

Biosensors and Bioelectronics

View full text Add to dashboard Cite

“…where Z q and acoustic impedance of the quartz substrate, α q is the wave phase shift in the quartz substrate and K is a value of electromechanical coupling 10,26,27 F f is the force exerted by the film on the quartz substrate per unit area and s q & is the speed of displacement of the quartz substrate 14 . In this paper, we will use the real part of the impedance and dissipation or energy loss as interchangeable terminology.…”

Section: Theorymentioning

confidence: 99%

“…In the notation of Behling 26,27 , ωτ=1/κ where κ is the loss factor of the polymer and is the ratio of the viscous to elastic contributions to the shear modulus. The Maxwell model contains the limits of Newtonian liquids and rigid solid overlayers and so the theory can represent a large number of device configurations that are relevant to sensing applications.…”

Section: Theorymentioning

confidence: 99%

Influence of viscoelasticity and interfacial slip on acoustic wave sensors

McHale

Lücklum

Newton

et al. 2000

Journal of Applied Physics

100

View full text Add to dashboard Cite

Acoustic wave devices with shear horizontal displacements, such as quartz crystal microbalances (QCM) and shear horizontally polarised surface acoustic wave (SH-SAW) devices provide sensitive probes of changes at solid-solid and solid-liquid interfaces.Increasingly the surfaces of acoustic wave devices are being chemically or physically modified to alter surface adhesion or coated with one or more layers to amplify their response to any change of mass or material properties. In this work, we describe a model that provides a unified view of the modification in the shear motion in acoustic wave systems by multiple finite thickness loadings of viscoelastic fluids. This model encompasses QCM and other classes of acoustic wave devices based on a shear motion of the substrate surface and is also valid whether the coating film has a liquid or solid character. As a specific example, the transition of a coating from liquid to solid is modelled using a single relaxation time Maxwell model. The correspondence between parameters from this physical model and parameters from alternative acoustic impedance models is given explicitly. The characteristic changes in QCM frequency and attenuation as a function of thickness are illustrated for a single layer device as the coating is varied from liquid-like to that of an amorphous solid. Results for a double layer structure are given explicitly and the extension of the physical model to multiple layers is described. An advantage of this physical approach to modelling the response of acoustic wave devices to multilayer films is that it provides a basis for considering how interfacial slip boundary conditions might be incorporated into the acoustic impedance used within circuit models of acoustic wave devices. Explicit results are derived for interfacial slip occurring at the substrate-layer 1 interface using a single real slip parameter, s, which has inverse dimensions of impedance. In terms of acoustic impedance, such interfacial slip acts as a single-loop negative feedback. It is suggested that these results can also be viewed as arising from a double-layer model with an infinitesimally thin slip layer which gives rise to a modified acoustic load of the second layer. Finally, the difficulties with defining appropriate slip boundary conditions between any two successive layers in a multilayer device are outlined from a physical point of view.

show abstract

“…Details can be found elsewhere, e.g. [2]. The transduction scheme of liquid permittivity basically starts from a redistribution of the electrical field of a resonant mode due to changes in the respective electrical boundary conditions.…”

Section: Sensing Schemementioning

confidence: 99%

“…The resonant shear oscillation at the sensing surface causes an evanescent wave propagating into the adjacent medium, thereby probing its mechanical and geometric properties. The Acoustic Load Concept (ALC) [2] describes the resulting effect on the resonator one basis of transmission lines. It summarizes the properties of a single layer or a multi-layer arrangement in the so-called acoustic load (impedance), Z L , acting at the surface of the resonator.…”

Section: Introductionmentioning

confidence: 99%

Resonant sensors: new principles and perspectives for (bio) chemical applications

Lücklum

Hauptmann

2010

Int J Adv Eng Sci Appl Math

View full text Add to dashboard Cite

New sensor principles based on the resonant effect are introduced. Lateral field excitation (LFE) of the well-known quartz crystal microbalance leaves the sensing surface free of a metallic electrode. On the one hand it gives access to a large variety of silane based surface chemistry for achieving chemical sensitivity. On the other hand the electrical field penetrates into the adjacent substance allowing the determination of electrical properties of liquids. A second concept with the same advantages applies magnetic excitation. Here, piezoelectric materials are not required. Si membranes can serve as high-Q resonators. Capacitively driven micromechanical ultrasonic transducers consisting of a large number of resonators can serve as platform for sensor arrays. Finally, propagation of ultrasonic waves at specific frequencies inside the band gap of phononic crystals is a phenomenon about to be discovered for sensing purposes. The perspectives of these principles with regard to chemical and biosensors are discussed.

show abstract

The non-gravimetric quartz crystal resonator response and its application for determination of polymer shear modulus

Cited by 52 publications

References 17 publications

Monitoring cell adhesion by using thickness shear mode acoustic wave sensors

Monitoring cell adhesion by using thickness shear mode acoustic wave sensors

Influence of viscoelasticity and interfacial slip on acoustic wave sensors

Resonant sensors: new principles and perspectives for (bio) chemical applications

Contact Info

Product

Resources

About