What is the relationship between crystallite size, contact angle and roughness for metal oxides?, and can I connect this relationship with the results of the electrical characterization (hall effect)?.
Thanks in advance.
This is a quite complex subject.
The Young equation for the determination of contact angle - surface energy relationships is derived under the assumption that the surface energy of the solid is constant. Since different crystal facets have different surface energies, on a rough surface you no longer have a single equation, the shape of your droplet will be an envelope of many small domains with tilts. So you will have an effective contact angle which will be characteristic for a certain morphology, but somewhat different from the flat surface, I would say usually lower.
There will certainly be relationships between crystallite sizes and electrical properties, but whether it is helpful to go the detour via the contact angle is questionable.
The relationship between crystallite size, contact angle, and roughness of metal oxides is complex and depends on several factors, including the chemical composition of the material, the preparation method, and the properties of the contacting liquid.
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