Discovery and rectification of an error in high resistance traceability at NPL: a case study in how metrology works

TL;DR

This paper discusses how a subtle calibration error in high-resistance standards was discovered at NPL through a case study, emphasizing the importance of research-backed calibration and maintaining buffer uncertainties.

Contribution

It presents a detailed case study illustrating the process of discovering and rectifying a calibration error in high resistance traceability at NPL, highlighting the role of research and inter-laboratory comparisons.

Findings

Calibration errors can remain undetected due to large uncertainties in comparisons.

Research activities can reveal subtle calibration discrepancies.

Maintaining a buffer between claimed and required uncertainties is crucial.

Abstract

We broach a seldom-discussed topic in precision metrology; how subtle errors in calibration processes are discovered and remedied. We examine a case study at the National Physical Laboratory (NPL), UK, involving the calibration of DC standard resistors of value 100 MOhm and 1 GOhm. Results from the period 2001 to 2015 were in error by approximately 0.7 parts per million (ppm), with quoted uncertainties (k=2) of 0.4 ppm and 1.6 ppm respectively. Inter-comparisons did not detect the error, mainly because the uncertainty due to the transportation drift of the comparison standards was too large to resolve it. Likewise, research into single-electron current standards did not detect the error because at this resistance value it was on the borderline of statistical significance. The key event was a comparison between PTB (Germany) and NPL (UK) of a new small-current measuring instrument, the ultrastable low-noise current amplifier (ULCA). At that time, the transport stability of the ULCA was not well established. Nevertheless, calibrations of the ULCA at NPL using a 100 MOhm resistor were sufficiently discrepant with the PTB calibrations to motivate a thorough investigation into the NPL traceability chain, which uncovered the error. This instructive episode illustrates a positive interplay between calibration and research activities and shows that cutting-edge calibration uncertainties must be supported by a vigorous research programme. It is also important for NMIs to maintain a comfortable buffer (at least a factor of 10) between their claimed uncertainty and the uncertainty that their customers require, so that small errors can be resolved without significant impact on measurement stakeholders.