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| Discussion for the Linear Interpolation from the Melting Point of Gallium to the Freezing Point of Indium and its uncertainty analysis |
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Abstract A linear interpolation equation mentioned by White and Rouke in the range from the melting point of gallium to the freezing point of indium without specification and uncertainty analysis. The deduction of this linear interpolation from Matthiessen’s rule and examination for interpolation uncertainties in accordance with Guide to the Realization of the ITS-90 are performed in the present research. A collection of 47 standard platinum resistance thermometer calibration data is used to estimate the uncertainty of the equation. The experiment of type 3 non-uniqueness is conducted with a group of 4 standard platinum resistance thermometers of high performance. Calculations show that the overall inconsistency of overlapping subranges is 0.30 mK with a standard deviation of 0.28 mK. Type 3 non-uniqueness of this interpolation is 0.16 mK and the propagation uncertainty is 0.33 mK. The combined uncertainty is approximately 0.43 mK. This linear equation is simple and accurate at the same time. The present study also finds out that the measurement uncertainty of the triple point of water do not affect this linear equation.
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Received: 23 July 2024
Published: 03 April 2025
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CHEN Ze-chuan,PAN Jiang,CHEN Wei-xin,LI Ting,SUN Jian-ping,WANG Guang-yao,HU Jing,LI Jia-hao,WU Xiao-yang. Study on Interpolation Method of NTC Thermistor Thermometer in Body Temperature Range[J]. Acta Metrologica Sinica, 2023, 44(11): 1680-1686. |
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2025, Vol. 46 
