I would suggest an EDX (EDS) analysis to get the surface composition of the powder grains.
If EDX is not available the following can be tried:
- Overall, Al2O3 is amphoteric and therefore it would react with, e.g. HCl.
- So, try to insert a few powder grains in HCl (1...2 mol/L) to check if there is any reaction. The grain are expected to react and the resulted chloride(s) are water soluble for the large majority of cations.
- If this happens, then analyse the solution, looking for different other cations (other than Al).
- If not, try a different analysis (e.g. XRD) to find out what the powder really is. However, be aware that XRD will give relevant results if the nano-powder is crystalline. So, XRD can be in the situation of not giving the expected answer to the question "is it Al2O3 or not?"