(a)–(c) Rocking adhesive microparticle on a vibrating substrate. (a) The two-dimensional adhesion model for the simultaneous out-of-plane (δ) and in-plane (θ) motions of a spherical particle on a vibrating surface with the beam of the laser probe (not to scale). (b) Schematics of the contact zone of the PSL particle adhering to monolayer graphene on a silicon dioxide substrate. The diameter of the contact area of a PSL-Gr interface is determined by using W = 1160 mJ/m2. (c) TEM image (scale bar is 10 μm) of the surface of substrate sample coated by monolayer and multilayer graphene (darker spots) zones (Courtesy of Graphene Laboratories Inc., Calverton, New York, USA).
(a)–(d) Temporal responses of rocking microparticles. Sample experimental temporal responses of the particles in the four frequency ranges (for particles number 3,26,57, and 64, respectively).
(a)–(d) Spectral responses of rocking microparticles. Sample experimental spectral responses of the substrate (dashed thin lines) and particles (solid thick line) in the four frequency ranges (for particles number 3,26,57, and 64, respectively).
Vibrational spectra for determining Gr/SiO2 interface adhesion energies. Frequency peaks observed in the experimentally obtained spectral domain of particles, including Gr-SiO2 interactions with PSL particles. The inset shows the distribution of the number of particles in each measured frequency range.
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