Investigating the Inconsistency of ITS-90 for SPRTs in the Subrange 0 °C to 419.527 °C

Sun, Jian-Ping; Zhang, J. T.; Kang, Zhiru; Duan, Yulong

doi:10.1007/s10765-010-0835-4

Cited by 11 publications

(9 citation statements)

References 4 publications

(8 reference statements)

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“…Also in this case, the mathematical model of the interpolation is given by (17), where W r is defined by (18). Similar expressions are obtained in case the thermometer is calibrated in the subrange (Zn), (Sn), (In), (Ga) or (Hg).…”

Section: The New Approachmentioning

confidence: 99%

“…Thus, the estimate of the input quantity C NU-1 will not be derived directly from the current calibration, but will be brought into the interpolation model (17) from external sources [24,25]. The arithmetic is only one stage of the process of evaluating this input quantity in the model (17). The second step involves the assessment of its associated uncertainty, u(C ðS j Þ NUÀ1 ).…”

Section: The New Approachmentioning

confidence: 99%

“…0.9964). The coefficients a i are given in Table 4 and they can be used to predict the values of the input quantity C ðS j Þ NUÀ1 in the model (17) for each W of…”

Section: Nuà1mentioning

confidence: 99%

“…When calibrations are made according to the ITS-90, the estimate of C NU-1 at any W can be quickly and easily obtained by equation (21) (using Table 4) and then introduced in the model (17) to calculate the estimate of the measurand. Also, the standard uncertainty s(C NU-1 ) can be calculated by equation (22) (using Table 5) and then used to evaluate À by means of the same model (17) À the "uncertainty in knowing the measurand" [25].…”

Section: Nuà1mentioning

confidence: 99%

“…There is limited coverage in the specific literature regarding the definition and quantification of its effect on interpolated values. All of the papers published so far [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] have considered and studied exclusively combinations of two subranges that overlap, the differences associated with each pair being regarded as estimates of the effect.…”

Section: Introductionmentioning

confidence: 99%

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A new approach to the analysis of Type 1 non-uniqueness of the ITS-90 above 0 °C

Gaita¹,

Bonnier

2018

Int. J. Metrol. Qual. Eng.

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The Type 1 non-uniqueness (NU-1) is the difference between interpolated values at the same temperature in the resistance thermometer subranges of the International Temperature Scale of 1990 (ITS-90) that overlap. The paper argues for a method of evaluating the NU-1 at a given temperature which considers all subranges of the Scale that contain the respective temperature, not only combinations of two, and it proposes mathematical models to determine the values of NU-1 for temperatures above 0 °C. The paper demonstrates that NU-1 is not the right contributor to the uncertainty associated with the realisation of the ITS-90. Therefore, a new concept of Correction for the Type 1 non-uniqueness of the Scale, CNU-1, is introduced and its mathematical model is established. Also, the estimate of CNU-1 and its standard uncertainty are defined and they are assessed through statistical analysis. The values of standard uncertainty determined by the novel methodology do not exceed 0.26 mK and they are smaller than the values given in the specific Guides developed by the Consultative Committee for Thermometry. The proposed models allow authors to single out and analyse the factors that generate Type 1 non-uniqueness of the Scale and influence its value.

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Section: The New Approachmentioning

confidence: 99%

Section: The New Approachmentioning

confidence: 99%

“…0.9964). The coefficients a i are given in Table 4 and they can be used to predict the values of the input quantity C ðS j Þ NUÀ1 in the model (17) for each W of…”

Section: Nuà1mentioning

confidence: 99%

Section: Nuà1mentioning

confidence: 99%