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Residual resistance ratio as indicator for the influence of impurities on fixed-point temperatures
Metrologia ( IF 2.1 ) Pub Date : 2021-05-18 , DOI: 10.1088/1681-7575/abeb56
Bernd Fellmuth , Christof Gaiser

The component caused by the influence of impurities often dominates the uncertainty budgets of realisations of temperature fixed points. The Consultative Committee for Thermometry recommended, therefore, in section2.1 Fixed Points: Influence of Impurities of the Guide to the Realization of the ITS-90 (www.bipm.org) two methods for estimating this component. One is based on summing up the individual effects of all relevant impurities. This method causes huge efforts. The second one requires a reliable information on the overall impurity concentration, which is usually not supplied by the producers of the fixed-point materials. In the paper, it is analysed if the determination of the residual resistance ratio r 0 can aid in getting the required information [r 0 means the ratio of the electrical resistivities ρ at a sufficiently low temperature and at 293K, usually r 0 = ρ(4.2K)/ρ(293K)]. The crucial criterion is the sensitivity of r 0 for the influence of an impurity on the fixed-point temperature, i.e. the magnitude of the derivative dT l/dr 0 of the liquidus-line temperature T l with respect to r 0. As examples, the developed methodology is applied to three fixed points of the ITS-90, namely the freezing points of indium, zinc, and aluminium. It can be shown that the use of r 0 can reduce the number of impurities, for which the effortful determination of the individual concentrations is necessary, by an order of magnitude, namely to about 10 or below.



中文翻译:

残留电阻比作为杂质对定点温度影响的指标

由杂质影响引起的分量通常支配着温度固定点实现的不确定性预算。因此,温度测量咨询委员会在 ITS-90 实现指南(www.bipm.org) 的第 2.1节“固定点杂质影响”中推荐了两种估算该成分的方法。一种是基于总结所有相关杂质的个别影响。这种方法需要付出巨大的努力。第二个需要关于总体杂质浓度的可靠信息,而定点材料的生产商通常不提供这些信息。文中分析了残余电阻比r 0的确定可以帮助获得所需的信息 [ r 0表示在足够低的温度和 293K 下的电阻率ρ的比率,通常r 0 = ρ (4.2K)/ ρ (293K)]。关键标准是r 0对杂质对定点温度影响的灵敏度,即液相线温度T l的导数 d T l /d r 0相对于r 0 的大小 . 例如,将开发的方法应用于 ITS-90 的三个固定点,即铟、锌和铝的凝固点。可以表明,使用r 0可以将杂质的数量减少一个数量级,即减少到大约10或更低,对于这些杂质,需要费力地确定各个浓度。

更新日期:2021-05-18
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