Thermoelastic coefficients of alpha quartz.
J A Kosinski1, J G Gualtieri, A Ballato
1US Army Gt. Monmouth, NJ.
Summary
This study provides recommended thermal expansion values for alpha quartz between -50°C and +150°C. These findings are crucial for accurately calculating quartz material and frequency temperature coefficients, especially for AT-cut resonators.
Area of Science:
- Materials Science
- Solid State Physics
- Crystallography
Background:
- Accurate thermal expansion data is essential for understanding material behavior under varying temperatures.
- Previous experimental measurements of alpha quartz thermal expansion exhibit variability.
- Reliable coefficients are needed for precise calculations in quartz-based devices.
Purpose of the Study:
- To critically analyze existing literature data on alpha quartz thermal expansion.
- To establish a recommended set of best measured values for thermal expansion.
- To determine accurate coefficients of thermal linear expansion (CTE) and thermoelastic coefficients.
Main Methods:
- Comprehensive literature review and critical analysis of experimental data.
- Data reconciliation to determine best-fit values for thermal expansion.
- Calculation of coefficient of thermal linear expansion (CTE) and thermoelastic coefficients.
Main Results:
- A recommended dataset for alpha quartz thermal expansion from -50°C to +150°C.
- Determined values for the coefficient of thermal linear expansion (CTE).
- Calculated thermoelastic coefficients for alpha quartz.
Conclusions:
- The recommended values provide a reliable basis for further calculations.
- The study discusses the impact of these coefficients on quartz material temperature coefficients.
- Implications for calculating temperature coefficients of frequency for AT-cut quartz are detailed.
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