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Nanoscopic pores are used in various systems to attract nanoparticles. Ingeneral the behaviour is a result of two types of interactions: the materialspecific affinity and the solvent-mediated influence also called the depletionforce. The latter is more universal but also much more complex to understandsince it requires modeling both the nanoparticle and the solvent. Here, weemployed classical density functional theory to determine the forces acting ona nanoparticle near a nanoscopic pore as a function of its hydrophobicity andits size. A simple capillary model is constructed to predict those depletionforces for various surface properties. For a nanoscopic pore, complexity arisesfrom both the specific geometry and the fact that hydrophobic pores are notnecessarily filled with liquid. Taking all of these effects into account andincluding electrostatic effects, we establish a phase diagram describing theentrance and the rejection of the nanoparticle from the pore.

Solute particle near a nanopore: influence of size and surface properties on the solvent-mediated forces