Imperial College London

Professor Erich A. Muller

Faculty of EngineeringDepartment of Chemical Engineering

Professor of Thermodynamics



+44 (0)20 7594 1569e.muller Website




Miss Raluca Leonte +44 (0)20 7594 5557




409ACE ExtensionSouth Kensington Campus






BibTex format

author = {Aasen, A and Hammer, M and Ervik, Å and Muller, E and Wilhelmsen, Ø},
doi = {10.1063/1.5111364},
journal = {Journal of Chemical Physics},
title = {Equation of state and force fields for Feynman–Hibbs-corrected Mie fluids. I. Application to pure helium, neon, hydrogen and deuterium},
url = {},
volume = {151},
year = {2019}

RIS format (EndNote, RefMan)

AB - We present a perturbation theory that combines the use of a third-order Barker–Henderson expansion of theHelmholtz energy with Mie-potentials that include first (Mie-FH1) and second-order (Mie-FH2) Feynman–Hibbs corrections. The resulting equation of state (SAFT-VRQ Mie) is compared to molecular simulations,and is seen to reproduce the thermodynamic properties of generic Mie-FH1 and Mie-FH2 fluids accurately.SAFT-VRQ Mie is exploited to obtain optimal parameters for the potentials of neon, helium, deuterium,ortho-, para- and normal-hydrogen for the Mie-FH1 and Mie-FH2 formulations. For helium, hydrogen anddeuterium, the use of either the first or second-order corrections yields significantly higher accuracy in therepresentation of supercritical densities, heat capacities and speed of sounds when compared to classical Miefluids, although the Mie-FH2 is slightly more accurate than Mie-FH1 for supercritical properties. The MieFH1 potential is recommended for most of the fluids since it yields a more accurate representation of thepure-component phase equilibria and extrapolates better to low temperatures. Notwithstanding, for helium,where the quantum effects are largest, we find that none of the potentials give an accurate representation ofthe entire phase envelope, and its thermodynamic properties are represented accurately only at temperaturesabove 20 K. Overall, supercritical heat capacities are well represented, with some deviations from experimentsseen in the liquid phase region for helium and hydrogen.
AU - Aasen,A
AU - Hammer,M
AU - Ervik,Å
AU - Muller,E
AU - Wilhelmsen,Ø
DO - 10.1063/1.5111364
PY - 2019///
SN - 0021-9606
TI - Equation of state and force fields for Feynman–Hibbs-corrected Mie fluids. I. Application to pure helium, neon, hydrogen and deuterium
T2 - Journal of Chemical Physics
UR -
UR -
VL - 151
ER -