How can I prove the intercalation of molecules between the graphene sheet?Theory and explanation?

I mean, many papers have reported the synthesis G from exfoliation, and others have also studied about the intercalation of molecules (metal/metal oxide, polymer, etc). What's the difference between the exfoliation from intercalation vs only intercalation (for somewhat purpose)? Furthermore, the gap between G sheet is very small and I cannot imagine the intercalation of big molecule to small gap, and how to control the adsoption/intercalation? Temperature, stirring speed, pH, solvent, condition phase, or what?

Thanks

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