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Fast three-step method for shear moduli calculation from quartz crystal resonator measurements
C Behling1, R Lucklum, P Hauptmann
1Continental Teves AG and Co., Frankfurt.
Summary
This study introduces a fast, three-step method to calculate polymer shear moduli using quartz crystal resonators. This technique simplifies polymer material characterization by analyzing electrical responses, improving upon complex existing methods.
Area of Science:
- Materials Science
- Polymer Science
- Analytical Chemistry
Background:
- Quartz crystal resonators offer a non-gravimetric method for polymer characterization.
- The electrical response of coated resonators is sensitive to the polymer's shear modulus.
- Existing methods for shear modulus calculation are complex and time-consuming.
Purpose of the Study:
- To present a fast and accurate three-step method for calculating complex shear moduli of polymer films.
- To simplify the analysis of quartz crystal resonator measurements for polymer characterization.
Main Methods:
- Calculating acoustic load impedance from the electrical admittance of the quartz crystal.
- Employing a family of approximations to determine shear modulus from acoustic load impedance.
- Iteratively refining the best approximation for enhanced accuracy.
Main Results:
- A simplified and efficient three-step procedure for shear modulus calculation.
- Demonstrated accuracy and speed in determining polymer film properties.
- Overcomes limitations of previous data fitting-intensive methods.
Conclusions:
- The developed method provides a significant advancement in polymer material characterization using quartz crystal resonators.
- This approach enables faster and more accessible determination of polymer shear moduli.
- Facilitates broader application of quartz crystal resonator technology in polymer analysis.

