This paper presents
a simple and robust model to describe the wet
adhesion of the AFM tip and substrate joined by a liquid bridge. The
effects of contact angles, wetting circle radius, the volume of a
liquid bridge, the gap between the AFM tip and substrate, environmental
humidity, and tip geometry on the capillary force are studied. To
model capillary forces, while a circular approximation for the meniscus
of the bridge is assumed, the combination of the capillary adhesion
due to the pressure difference across the free surface and the vertical
component of the surface tension forces acting tangentially to the
interface along the contact line is utilized. Finally, the validity
of the proposed theoretical model is verified using numerical analysis
and available experimental measurements. The results of this study
can provide a basis to model the hydrophobic and hydrophilic tip/surfaces
and study their effect on adhesion force between the AFM tip and the
substrate.