Extended Data Fig. 10: Foolproof synthetic guidance to an unexplored inorganic membrane in our proposed SLIS system.
From: Mechanistic formulation of inorganic membranes at the air–liquid interface

a, Step-by-step flow chart to guide the synthesis of an inorganic membrane. b, Summary of the initial conditions for creating the membranes in the presented library and the corresponding distributions based on 2D kernel density estimation, offering experiential choice of the initial concentration and temperature for different reaction categories. c–f, Results of the kinematic simulations for the CN (c), ON (d), NI (e) and CI (f) phases (see the dynamic evolutions in Supplementary Video 5). Note that these isolated particles are in grey and turn into blue once they are physically connected. g, 2D kernel density estimation map of the membrane locations in a customized space, which consists of the terminal reaction time-to-critical time ratio and the membrane thickness-to-building unit size (vertical dimension) ratio. All the data were derived from the 40 kinds of membrane in the presented library. The dot density is indicated by the top colour bar. The box chart shows the statistical result of the membrane thickness-to-building unit size (vertical dimension) ratio. The caps indicate the 1.5× interquartile range. The diamond box shows 10th–90th percentiles, with the marked median (transverse line inside) and mean (dot inside). The empirical deviation coefficient ω, which represents the statistical ratio of the SLIS-mediated membrane thickness to the building unit size (vertical dimension), is determined to be between 1.06 and 5.94 by the box range. The detailed description of the general synthesis of an unexplored inorganic membrane is included in Supplementary Section 8.1.