I have a question regarding the synthesis/modification of ZnO Nanoparticles (NP) with a silane. I had a general idea of how ZnO and Silane interacts but I am not sure how the amount of required silane is calculated. A paper that I'm looking at synthesized ZnO-Silane from Zinc Acetate, and had a ratio of Zinc Acetate to Silane of 1:1.

Many of the journal I saw has an image of ZnO with multiple O-H on the surface. I believe it is trying to visualize a small cluster of ZnO particles with just the surface being O-H, which is the part that will be modified with the silane. If that's the case, doesn't that mean that any ZnO inside that cluster might not interact with a silane? How is the chemical equation even written or how is the yield calculated?

I'm really confused as to how they work and I wonder if anyone can help either to clarify or to refer me to viable sources for explanation.

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