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Modeling the Responses of Thickness-Shear Mode Resonators under Various Loading Conditions
H L Bandey1, S J Martin, R W Cernosek
1Microsensor Research and Development Department, Sandia National Laboratories, Albuquerque, New Mexico 87185-1425.
Analytical Chemistry
|June 14, 2011
Summary
We created a versatile model for thickness-shear mode resonators, applicable to diverse surface conditions and multiple material loadings. This model aids in understanding interfacial structures and extracting physical properties from complex systems.
Area of Science:
- Materials Science
- Physical Chemistry
- Electrical Engineering
Background:
- Thickness-shear mode resonators are sensitive to surface conditions.
- Modeling complex interfacial phenomena is crucial for various applications.
- Existing models may not cover diverse and combined loading scenarios.
Purpose of the Study:
- To develop a general model for thickness-shear mode resonator electrical responses.
- To accommodate a wide range of single-component and multiple-component surface loadings.
- To enable both qualitative and quantitative analysis of interfacial properties.
Main Methods:
- Developed a generalized model for resonator electrical response.
- Incorporated diverse single-component loadings: rigid solids, viscoelastic media, and Newtonian/Maxwellian fluids.
- Enabled combination of any number of components in arbitrary configurations.
Main Results:
- The model accurately describes electrical responses under varied surface conditions.
- Demonstrated that composite load responses are not simple linear combinations of individual components.
- Showcased the model's applicability to both gas-phase and liquid-phase applications.
Conclusions:
- The developed model provides a unified framework for analyzing thickness-shear mode resonators.
- It facilitates qualitative insights into interfacial structure.
- Enables quantitative extraction of physical parameters like viscosity, density, and shear moduli.
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