“…To describe the underlying mechanisms of cluster coarsening let us consider in the following a distribution of 3D clusters with spherical cap shapes and different radii R. Such a distribution can be characterized by its average cluster radius RðtÞ and the density of clusters on the substrate n cl (t) [31,37,38]. Depending on the experimental conditions either surface diffusion of atoms detached from clusters or the attachment/detachment of atoms by clusters can limit the surface OR process.…”
Section: Theory Of the Surface Ostwald Ripeningmentioning
confidence: 99%
“…by SR) (without the effect of electron-beam irradiation) can be estimated by calculating the ratio s s =s b according to Ref. [37,38]. Here, s s and s b are the times necessary to double the average cluster size by surface OR and by the SR, respectively [37,38].…”
Section: Effects Of Electron-beam Irradiationmentioning
confidence: 99%
“…[37,38]. Here, s s and s b are the times necessary to double the average cluster size by surface OR and by the SR, respectively [37,38]. If this ratio is much smaller than unity, the effect of cluster coalescence by SR on the RðtÞ can be neglected.…”
Section: Effects Of Electron-beam Irradiationmentioning
“…To describe the underlying mechanisms of cluster coarsening let us consider in the following a distribution of 3D clusters with spherical cap shapes and different radii R. Such a distribution can be characterized by its average cluster radius RðtÞ and the density of clusters on the substrate n cl (t) [31,37,38]. Depending on the experimental conditions either surface diffusion of atoms detached from clusters or the attachment/detachment of atoms by clusters can limit the surface OR process.…”
Section: Theory Of the Surface Ostwald Ripeningmentioning
confidence: 99%
“…by SR) (without the effect of electron-beam irradiation) can be estimated by calculating the ratio s s =s b according to Ref. [37,38]. Here, s s and s b are the times necessary to double the average cluster size by surface OR and by the SR, respectively [37,38].…”
Section: Effects Of Electron-beam Irradiationmentioning
confidence: 99%
“…[37,38]. Here, s s and s b are the times necessary to double the average cluster size by surface OR and by the SR, respectively [37,38]. If this ratio is much smaller than unity, the effect of cluster coalescence by SR on the RðtÞ can be neglected.…”
Section: Effects Of Electron-beam Irradiationmentioning
“…This fact is coherent with the leaching of molecular species during the Heck reaction and further ripening giving aggregates. [19] In conclusion, we have established the dual catalytic behavior of metallic nanoparticles, which act as a heterogeneous catalyst and also as a reservoir of catalytically active molecular 3 ], heating at 60 8C was necessary to obtain decomposition. The residual gas was then released and volatiles removed under reduced pressure.…”
Section: In [Emi]a C H T U N G T R E N N U N G [Meo(h)po 2 ] Containimentioning
One becomes two: Palladium nanoparticles stabilized by ionic liquids are used as the sole catalytic precursors for sequential Heck and hydrogenation processes. The dual role of these systems, which act as both a heterogeneous catalyst and also as a reservoir of catalytically active molecular species, is investigated.
“…A typical mechanism of aggregation is the Ostwald ripening which is a growth mechanism where small particles dissolve, and are consumed by larger particles. [19] So, the average nanoparticle size increases with time, the particle concentration decreases and their solubility diminishes.…”
Section: Mnps Preparation: Stability Challenges and Stabilization Mecmentioning
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