As per i know, stabilization of nanoparticles by bulky molecular structure of ionic liquids enable the nanoparticles apart each other so that stabilization occurs. optimization of concentration can be done later by some trials...
Ionic liquids, depending on the type are mostly amphiphilic. As a whole, the solvation forces play an important in dispersing and stabilizing nanoparticles and colloids in the ILs. It functions by masking the aggregation inducing electrostatic repulsions between the nanoparticles.
Usually nanoparticles are stabilised by the ionic liquids. The dangling surface forces on nano particles are neutralized by electrostatic stabilisation by ionic liquids (Angew. Chem. Int. Ed. 44 (2005) 7852).
Depends which kind of NPs and which IL. Imidazolium (and some heterocyclic) ILs can coordinate the surface of transition metal NPs, especially if they have a functional group appended (such as alkyl CN, pyridines, etc.) and in some cases help transfer molecular catalysts from the bulk to the solution. I'd suggest you looks at this review for starters.
Article ChemInform Abstract: Transition Metal Nanoparticle Catalysis...