ORCID

Document Type

Article

Abstract

We report on two-terminal-pair and four-terminal-pair (4TP) measurements of a 10 kΩ resistance standard by means of a commercial precision inductance-capacitance-resistance meter (LCR meter) at frequencies up to 2 MHz. We discuss the effect of cables on a resistance standard measured in either two- or 4TP configuration and demonstrate within which uncertainty the effect of 2.5 m long measuring cables can be corrected accurately. Such long cables are inevitable for precision measurements of the quantum Hall resistance (QHR) at high frequencies. Furthermore, the systematic effects of the LCR meter, such as the internal input capacitances, voltage and frequency dependences, and range effects, were investigated. Though substantially larger than the type-A uncertainty of the LCR meter, these effects are accurately reproducible. Consequently, as demonstrated in this work, the LCR meter can be calibrated in a limited resistance range with an uncertainty of a few-parts-per-million over the whole frequency range by a reference resistance standard with a very small and precisely calculable frequency dependence. At 2 MHz, this corresponds to a reduction of the relative expanded uncertainty from about 3.0 × 10−3 (based on manufacturer specifications) to 3.0 × 10−5, a factor of 100 improvement, and opens new applications in science, impedance metrology and calibration measurement capabilities of National Metrology Institutes and calibration laboratories. One special application is the world’s first and forthcoming precision measurement of the QHR at frequencies up to 2 MHz, for which this work lays the foundation.

Publication Date

2026-03-02

Publication Title

Measurement Science & Technology

Volume

37

Issue

8

ISSN

0957-0233

Acceptance Date

2026-02-17

Deposit Date

2026-04-09

Keywords

Cable correction, Calculable resistor, Four-terminal-pair impedance standard, High-frequency impedance metrology, precision LCR meter, quantum Hall resistance, Two-terminal-pair standard, calculable resistor, four-terminal-pair impedance standard, two-terminal-pair standard, cable correction, high-frequency impedance metrology

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Download

Share

COinS