Mesoscopic film

Here, LHE(A) is the light harvesting efficiency for photons of wavelength X, 0mj is the quantum yield for electron injection from the excited sensitizer in the conduction band of the semiconductor oxide and r]coii is the electron collection efficiency. Having analyzed above the light harvesting efficiency of dye-loaded mesoscopic films we discuss now the other two parameters. 

Finally, the back reaction dynamics are strongly influenced by the trapping of the conduction band in the mesoscopic film. If the diffusion of trapped electrons to the particle surface is rate determining, the time law for the back reaction is a stretched exponential [45]. If, by contrast the interfacial back electron transfer is so slow that it becomes rate determining then the back reaction follows first order kinetics. 

The electron motion in the conduction band of the mesoscopic oxide film is coupled with interfacial electron-transfer reaction and with ion diffusion in the electrolyte. Bisquert [51] has introduced a transmission line description to model these processes. The mesoscopic film is thought to be composed of a string of oxide nanoparticles (Fig. 12). Apart from recapture by the oxidized dye, the electrons can... 

Liquid crystals, 55-57, 83-84 Mesoscopic films, 167 Microtubules, 283-285, 289, 293 Molecular motors, 283, 285 Nematics, 57... 

In Eq. 5.10a, the factor f /3 j corresponds to a Poiseuille flow, with no slip at the solid. Therefore, the validity of Eq. 5.10a is restricted to mesoscopic films. However, for molecular ones, the proportionality between D(f) and dU/d is retained. Note that as the droplet shape f(x, t) evolves slowly in time, U(f) 9f/9x evolves slowly in space therefore the profile f (x, t) gives qualitative information on the shape of the disjoining pressure ellipsometric droplets profiles are not merely striking pictures. Let us comment further on short-range contributions. 

The pancake thickness is given by a simple formula in the mesoscopic range, that is, very close to the wetting transition. The molecular film on the substrate has a negligible thickness, and the mesoscopic film is controlled by van der Waals interaction. Then the pancake thickness is written as ... 

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