Path-integral calculation of the third dielectric virial coefficient of helium based on ab initio three-body polarizability and dipole surfaces

Abstract

We develop a surface for the electric dipole moment of three interacting helium atoms and use it, together with state-of-the-art potential and polarizability surfaces, to compute the third dielectric virial coefficient, $C_{\epsilon }$, for both ${}^4$He and ${}^3$He isotopes. Our results agree with previously published data computed using an approximated form for the three-body polarizability, and are extended to the low-temperature regime by including exchange effects. Additionally, the uncertainty of $C_{\epsilon }$ is rigorously determined for the first time by propagating the uncertainties of the potential and polarizability surfaces; this uncertainty is much larger than the contribution from the dipole-moment surface to $C_{\epsilon }$. Our results compare reasonably well with the limited experimental data. The first-principles values of $C_{\epsilon }$ computed in this work will enhance the accuracy of primary temperature and pressure metrology based on measurements of the dielectric constant of helium.

18 pages, 7 figures

References in corpus (5)

• QED calculation of the dipole polarizability of helium atom
• Ab initio Calculation of Fluid Properties for Precision Metrology
• Path-integral calculation of the fourth virial coefficient of helium isotopes
• Third density and acoustic virial coefficients of helium isotopologues from ab initio calculations
• Collision-induced three-body polarizability of helium

Cited by in corpus (2)

• Path-integral Monte Carlo simulations of solid parahydrogen using two-body, three-body, and four-body ab initio interaction potential energy surfaces
• Third and fourth density and acoustic virial coefficients of neon from first-principles calculations