To investigate reactive diffusion in nanosized spherical geometries, a clear model experiment has been designed. Thin film {Al/Cu/Al} and {Cu/Al/Cu} triple layers were deposited on tips of 25 nm apex radius and investigated by atom probe tomography (APT). At the interfaces within both samples, the g
Diffusion impedance in planar, cylindrical and spherical symmetry
β Scribed by Torben Jacobsen; Keld West
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 605 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0013-4686
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β¦ Synopsis
The Laplace transformed diffusion equation is solved for finite diffusion in planar, cylindrical and spherical geometry with a Nemstian or an impermeable diffusion layer boundary condition. Analytical expressions are presented generalized as the Laplace transformed concentration to flux ratio at the electrode surface. The limiting behavior for a number of high and low frequency cases is derived. From these solutions the diffusion impedance for specific electrode reactions can be obtained.
π SIMILAR VOLUMES
A simple matrix formalism presented by Callaghan [J. Magn. Reson. 129, 74 -84 (1997)], and based on the multiple propagator approach of Caprihan et al. [J. Magn. Reson. A 118, 94 -102 (1996)], allows for the calculation of the echo attenuation, E(q), in spin echo diffusion experiments, for practical
Results are reported from uv-vis absorption measurements in the diffusion layers of planar, cylindrical and spherical electrodes. The reversible one-electron oxidation/reduction processes of N,N,N', N'-tetramethyl-p-phenylendiamine have been used as an example. Diffusion coefficients and formal rate