For regular roughness, like when using pillars, " r " and " f " can be calculated mathematically using the pillars dimensions; but, is there any way to experimentally measure these factors for irregular surfaces? for instance, by AFM data.
Yes, we estimate r value through imaging using AFM. Profilometer could be used as well. When it comes to f value it is extremely difficult because you don't know how liquid spreads over the surface, especially in the area that influence the value of contact angle. Researchers used estimates from geometry of porous/rough structures, but these are always controversial approaches.
Thank you for your reply. You wrote that profilometer could be used too. Did you mean optical profilimeter? Is there any description of the method for r value estimation by optical (?) profilometry and AFM? I will be glad, if you could share some references in the literture on this topic. Thank you in advance!