Is there any relation between roughness and line profile of an AFM image?

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Vladimir Dusevich

Roughness is a parameter (or set of parameters) which can be determined by analyzing of a properly acquired line profile.

Peter Schindler

Yes, an AFM line profile contains information about the RMS roughness of the surface. Keep in mind though, that an AFM image is a convolution of surface and tip shape. Is the size/shape of the tip smaller than the roughness features of the surface then getting that information is pretty straight-forward. If that is not the case, it gets problematic.