generally, if the surface energies of the nanoparticle and the polymer are matching (i.e., the interfacial energy is not too big) so that the polymer would really adsorb, it will form a monomolecular layer on the surface of the nanoparticle;

that means that the polymer molecules (which are in the form of small "balls") will adsorb as small balls on the surface and will form a layer which is as thick as the diameter of the dry molecule.

For an example, please look here:

Article Electrical conductivity in heterogenous polymer systems (V) ...

In the polymer PMAO , maleic anhydride in water is hydrolyzed to maleic acid. Therefore, the active groups of the polymer are carboxyl groups. If the polymer is deposited on NaYF4 nanoparticles, the interaction of carboxyl groups will depend on the charge of the nanoparticles. Micelle of nanoparticles will have a structure with an excess of sodium ions (with the addition of sodium chloride)

[NaYF4] mnNa + / (n-x) Cl- / x Cl-

x is the number of counterins in the diffuse part of the electrical double layer. Therefore, the charge of the nanoparticle is positive and the polymer will interact well with the surface of the nanoparticle.

Dear all, the types of interactions may be due to intermolecular forces, ionic bonds formation, and coordination. Best Regards

How to measure this interaction? By NMR or other method?

You can only indirectly measure, and definitely not by NMR. The interactions are adsorption type of forces, i.e. surfaces attract each other and form an interface. There is nothing directly you can "see" or "measure", only indirectly.

Did you read this here?

Article Electrical conductivity in heterogenous polymer systems (V) ...

it shows something which I did for the analysis of interfacial phenomena.

There is more in my RG pages.