Determination of the inner a) and outer b) HZ boundaries in solar irradiation S via evaporation of the entire water reservoir (P_H2O,out), and the criteria of a minimum temperature of 273.15 K (dashed black line in panel b for an oxygen fugacity at the IW buffer and initial mantle water concentrations between 250 and 1000 ppm (indicated in different shades of blue). Owing to similar behaviours of the atmospheres, the model results are overlaid.