Trimet: closing the quantum metrological triangle at a relative uncertainty level of 10⁻⁶

We present our experimental set-up and discuss the results obtained within the framework of the ANR-TRIMET project which aim was the closure of the quantum metrological triangle (QMT) at a relative uncertainty level of 1 part in 10⁶. This experiment consists in achieving Ohm’s law with the three effects used and investigated in quantum electrical metrology: Josephson effect (JE), quantum Hall effect (QHE) and single electron tunnelling effect (SET). The aim is to check the consistency of the phenomenological constants K_J, R_K and Q_X associated with these effects and theoretically expressed with the fundamental constants e and h (elementary charge and Planck constant, respectively). Such an experiment is a contribution for a new definition of the International System of Units (SI). Also, the obtained results are a first step towards a determination of e.