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Applying Isotopic Effect in ITS-90 SPRT Calibrations

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Abstract

The International Temperature Scale of 1990 (ITS-90) defines exact values for all fixed-point temperatures. For example, for the standard platinum resistance thermometers (SPRT), at each fixed point, the measured SPRT resistance and the temperature defined in the ITS-90 are used as input data into the correction equations of the ITS-90. Starting from 2006, formal equations were added to the Technical Annex for the ITS-90 for computing the fixed-point temperatures of the substances of different isotopic compositions, presently the \(e\hbox {-H}_{2}\) triple and vapor-pressure points, Ne triple point, and \(\hbox {H}_{2}\hbox {O}\) triple point. This paper addresses the issue of the method required to apply the procedure defined in the ITS-90 for the calibration of a SPRT, according to the new requirements. The required procedure does not involve a “correction” of the fixed-point temperatures, since they are defined exactly by the ITS-90, but requires instead, the re-computing of the measured resistances at the relevant fixed points. In those cases where resistance ratios with respect to the triple point of water are required, the re-computation must be first applied separately to the specific fixed points and to the triple point of water. In case the re-computation is not possible because of insufficient information on the isotopic composition of the sample used, an additional component must be added to the total uncertainty budget.

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Notes

  1. See [8] for another way to express the calibration functions.

  2. This indication is sometimes referred in the text as “correction.” The latter term is not used in this paper, to stress a conceptual difference that, in the author’s opinion, exists between use of a substance different from the one defined in the ITS-90 and other out-of-reference conditions of the actual measurements requiring corrections.

  3. The figure in parentheses following a numerical value indicates the uncertainty \((k = 1)\) on the last digit.

  4. In the following, \((\cdot )\) is used as shorthand for any of the required fixed points.

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Acknowledgments

The author would like to thank Dr. P. P. M. Steur of INRIM, Dr. T. Nakano of AIST-NMIJ, and Dr. R. White of Callaghan Innovation (NZ) for useful discussion.

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Pavese, F. Applying Isotopic Effect in ITS-90 SPRT Calibrations. Int J Thermophys 35, 1077–1083 (2014). https://doi.org/10.1007/s10765-014-1642-0

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  • DOI: https://doi.org/10.1007/s10765-014-1642-0

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