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Constant-Volume Gas Thermometry with Different Helium-3 Gas Densities at NMIJ/AIST

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Abstract

Constant-volume gas thermometer (CVGT) measurements are conducted using 3He of three different densities as the working gas to obtain the thermodynamic temperature T CVGT and the second virial coefficient of 3He, B, at temperatures down to 3 K, using the triple point of Ne as a reference temperature. Densities of 127 mol · m−3 and 278 mol · m−3 are used in addition to the density of 168 mol · m−3 used in the measurement reported previously, where T CVGT was obtained using the virial coefficient adopted by the International Temperature Scale of 1990 (ITS-90), B ITS-90. T CVGT is obtained by two methods, by the single- and multi-isotherm fitting of B to the three densities and by the method used in the previous work using one of the three densities and B ITS-90. B obtained from the isotherm fitting agrees with B ITS-90 within the uncertainty of the data used to derive B ITS-90. Moreover, B obtained from a multi-isotherm fit agrees with that of recent theoretical ab initio calculations within 0.05 cm3 · mol−1 at 5 K and above, and within 0.3 cm3 · mol−1 down to 3 K. The values of T CVGT obtained from the multi-isotherm fits assuming different forms for the temperature dependence of B agree with each other within 0.1 mK. T CVGT obtained from the multi-isotherm fitting agrees with that obtained from the method in the previous report within 0.22 mK. The tendency of the difference between T CVGT and the ITS-90 temperature reported in the previous work is confirmed in the present work.

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Tamura, O., Takasu, S., Nakano, T. et al. Constant-Volume Gas Thermometry with Different Helium-3 Gas Densities at NMIJ/AIST. Int J Thermophys 32, 1366–1377 (2011). https://doi.org/10.1007/s10765-011-0967-1

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