The vapor–liquid equilibrium of the Lennard-Jones substance is presently known with a precision, i.e. mutual agreement of thermodynamically consistent data, of ± ± 1 % % for the vapor pressure, ± ± 0.2 % % for the saturated liquid density, ± ± 1 % % for the saturated vapor density, ± ± 0.75 % % for the enthalpy of vaporization, and ± ± 4 % % for the surface tension. This status quo can not be considered satisfactory considering the fact that statistical uncertainties usually reported for single data sets are significantly below the above stated values (even for far more complex molecular force fields).