Abstract
The length is one of the key parameters for a cylindrical acoustic resonator used for measurement of the Boltzmann constant. A research project has been conducted in the National Institute of Metrology (NIM), China, for the re-determination of the Boltzmann constant with a fixed-path cylindrical acoustic resonator. This paper describes the procedure for the length determination. The excess fraction method was applied to accurately obtain the length of the resonator. This method is performed in a two-step procedure. First, the length is coarsely determined as L 1 with an uncertainty of 1.5 μm in the length division of NIM. Second, the result of the coarse measurement is further interpolated by the dual wavelength laser interferometer with a resolution of 1 nm, which is composed of a 633 nm He–Ne laser and a 657 nm semiconductor laser. A Michelson wavemeter has been constructed for calibration of the wavelength of the semiconductor laser. The length variation of the resonator has to be measured from room temperature to the triple point of water (TPW). As a result, the laser interferometer can be also used as a precise dilatometer. The result and the measurement uncertainty of the length measurement are given in this paper.
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Sun, J.P., Zhang, J.T., Zhang, X.Y. et al. Length Determination of a Fixed-Path Cylindrical Resonator with the Dual Wavelength Laser Interference Method. Int J Thermophys 32, 1330–1338 (2011). https://doi.org/10.1007/s10765-011-1045-4
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DOI: https://doi.org/10.1007/s10765-011-1045-4