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Published on: September 2, 2019
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Expansivity of Fused Quartz Glass Measured Within 6 × 10-10 K-1
1National Institute of Standards and Technology, Gaithersburg, MD 20899, USA.
Summary
This study presents a novel method for measuring the thermal expansion coefficient of fused quartz glass using a Fabry-Perot cavity. Material inhomogeneity significantly impacts fused quartz thermal expansion, exceeding measurement uncertainty by 24 times.
Area of Science:
- Materials Science
- Optical Physics
- Metrology
Background:
- Accurate measurement of thermal expansion coefficient is crucial for materials used in precision optics and high-temperature applications.
- Fused quartz glass is a common material in optical components due to its low thermal expansion, but its homogeneity can vary.
- Existing measurement techniques may have limitations in precision or be affected by material properties.
Purpose of the Study:
- To develop and validate a precise method for determining the thermal expansion coefficient of fused quartz glass.
- To quantify the measurement uncertainty associated with the proposed technique.
- To investigate the impact of material inhomogeneity on the thermal expansion coefficient of fused quartz.
Main Methods:
- Utilized a Fabry-Perot cavity constructed from fused quartz glass.
- Monitored changes in the resonance frequency of the Fabry-Perot cavity as a function of temperature.
- Analyzed frequency shifts to calculate the thermal expansion coefficient, considering various uncertainty sources.
Main Results:
- Achieved a standard uncertainty in the thermal expansion coefficient measurement of less than 0.6 (nm·m-1)·K-1 (0.15%).
- Identified uncertainty in the temperature dependence of reflection phase-shift as a potential performance limitation.
- Observed significant material inhomogeneity in fused quartz, with inter-sample differences in thermal expansion being 24 times greater than the single-sample measurement uncertainty.
Conclusions:
- The developed Fabry-Perot resonance frequency method provides a highly accurate measurement of fused quartz thermal expansion.
- Material inhomogeneity is a critical factor affecting the effective thermal expansion coefficient of fused quartz, necessitating careful sample selection or averaging.
- Further improvements in measurement precision would require addressing uncertainties in thin-film coating properties and other contributing factors.
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Thermal expansion and Thermal stress: Problem Solving
San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.
Glassware Calibration
Accurate calibration of glassware, such as volumetric flasks, pipettes, and burettes, is essential to ensure accurate measurements in the analytical laboratory. Calibration helps maintain consistency across measurements and prevents errors arising from inaccurate volumes.
Volumetric flasks: Volumetric flasks are designed to prepare aqueous solutions of precise volumes accurately with a calibration line on the neck. To calibrate a volumetric flask, it is important to fill it with distilled...
Volumetric flasks: Volumetric flasks are designed to prepare aqueous solutions of precise volumes accurately with a calibration line on the neck. To calibrate a volumetric flask, it is important to fill it with distilled...

