Theoretical Study of the Effect of Probe Shape on Adhesion Force Between Probe and Substrate in Atomic Force Microscope Experiment

Abstract

The quantitative description of adhesion force dependence on the probe shape is of importance in many scientific and industrial fields. We performed a theoretical study on the influences of the probe shape (the sphere and parabolic probe) on the adhesion force at different humidity in order to elucidate how the adhesion force varied with the probe shape in atomic force microscope manipulation experiment. We found that the combined action of the triple point and the Kelvin radius is the guiding trend of the adhesion force, and these two fundamental parameters are closely related to the probe shape. Meanwhile, the theoretical results demonstrated that the adhesion force are in a good agreement with the experiment data if the van der Waals force is take into account.

Study on the Adhesion Characteristics of Dust Accumulation on Solar Photovoltaic Glass

“…According to capillary mechanics and particle dynamics theories, the adhesion force measured by atomic force microscopy includes the liquid bridge force, dynamic viscous force, electrostatic force, and van der Waals force. − The expressions of the liquid bridge, dynamic viscous, electrostatic, and van der Waals forces, as suggested by some researchers, − are shown in eqs –. ,− F AD = F normalL + F normalE + F normalD + F normalV F normalL = prefix− 2 π γ R normalb sin nobreak0em.25em⁡ a sin ( a + b ) + normalΔ p π R normalb 2 sin 2 nobreak0em.25em⁡ a = π r normala 2 γ ( 1 r a + 1 r m ) F normalD = 6 π ...…”

“…According to capillary mechanics and particle dynamics theories, the adhesion force measured by atomic force microscopy includes the liquid bridge force, dynamic viscous force, electrostatic force, and van der Waals force. − The expressions of the liquid bridge, dynamic viscous, electrostatic, and van der Waals forces, as suggested by some researchers, − are shown in eqs –. ,− …”