Realization of the Pascal based on Argon using a Fabry-P\'erot refractometer

Abstract

Based on a recent experimental determination of the static polarizability and a first-principles calculation of the frequency-dependent dipole polarizability of argon, this work presents, by use of a Fabry-P\'erot refractometer operated at 1550 nm, a realization of the SI unit of pressure, the pascal, for pressures up to 100 kPa, with an uncertainty of [(0.98 mPa)$^2 + (5.8 \times 10^{-6} P)^2 + (26\times10^{-12}P^2)^2]^{1/2}$. The work also presents a value of the molar polarizability of N$_2$ at 1550 nm of 4.396572(26)$\times 10^{-6}$m$^{3}$/mol, which agrees well with previously determined ones in the literature.