3.1.4. The interactions between the mixed surface and bubble Based on the extended DLVO theory [21,22], the interactions between two components include LW interaction free energy, ABinteraction free energy and electrostatic interaction free energy.According to our previous study [17], action distance of electro-static force is significantly limited, while AB free energy is thedominant factor of the interactions between the mixed surface and bubble in aqueous medium. Thus, the effects of LW and AB on theinter action between the mixed surface and bubble are further dis-cussed. Based on Eqs. (S6) and (S7) presented in the supple mentary materials, the interactions between the mixed surface and bubblein aqueous medium are shown in Fig. 3.