Abstract:
Electrochemical deposition (ECD) and spatially coupled bipolar electrochemistry (SCBE) experiments in thin-layer cells are known to produce complex ion transport patterns concomitantly with the growth of dendrite-like structures. Here we present a macroscopic model of ECD and SCBE with a three-ion electrolyte in conditions of dense branched morphology. The model describes ion transport and deposit growth through the one-dimensional Nernst-Planck equations for ion transport, the Poisson equation for the electric field and, for ECD, a growth law for deposit evolution. We present numerical simulations for typical electrochemical deposition experiments: dense branched morphology in ECD and the incubation period in SCBE. In ECD the model predicts cation, anion and proton concentration profiles, electric field variations and deposit growth speed, that are in qualitative agreement with experiments; the predicted evolution and collision of the deposit and proton fronts reveal a time scaling close to those observed in experiments. In SCBE, the model predicts that the inverse of the incubation time scales linearly with the applied voltage. Such behaviour was observed in experiments. © 2004 Elsevier Ltd. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Ion transport in thin cell electrodeposition: Modelling three-ion electrolytes in dense branched morphology under constant voltage and current conditions |
Autor: | Marshall, G.; Molina, F.V.; Soba, A. |
Filiación: | Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, United States Laboratorio de Sistemas Complejos, Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina INQUIMAE, Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
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Palabras clave: | Electrodeposition; Ion transport; Migration; Numerical simulations; Thin cells; Charge transfer; Computer simulation; Electric currents; Electric fields; Electric potential; Electrolytes; Morphology; Positive ions; Ion transport; Migration; Spatially coupled bipolar electrochemistry (SCBE); Thin cells; Electrodeposition |
Año: | 2005
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Volumen: | 50
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Número: | 16-17
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Página de inicio: | 3436
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Página de fin: | 3445
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DOI: |
http://dx.doi.org/10.1016/j.electacta.2004.12.018 |
Título revista: | Electrochimica Acta
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Título revista abreviado: | Electrochim Acta
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ISSN: | 00134686
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CODEN: | ELCAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00134686_v50_n16-17_p3436_Marshall |
Referencias:
- Thompson, M., (1939) Theoretical and Applied Electrochemistry, , MacMillan New York
- West, A.R., (1992) Solid State Chemistry and its Applications, , Wiley New York
- Kolb, D.M., (2002) Advances in Electrochemical Science and Engineering, 7, p. 107. , R.C. Alkire D.M. Kolb Wiley/VCH Weinheim
- Stafford, G.R., Hussey, C.L., (2002) Advances in Electrochemical Science and Engineering, 7, p. 275. , R.C. Alkire D.M. Kolb Wiley/VCH Weinheim
- Vicsek, T., (1992) Fractal Growth Phenomena, , 2nd ed. World Scientific Singapore
- Argoul, F., Huth, J., Merzeau, P., Arneodo, A., Swinney, H.L., (1993) Physica D, 62, p. 170
- Chazalviel, J.N., (1990) Phys. Rev. A, 42, p. 7355
- Chazalviel, J.N., (1999) Coulomb Screening by Mobile Charges Applications to Material Science, Chemistry and Biology, , Birkhauser Verlag
- Brady, R.M., Ball, (1984) Nature (London), 309, p. 225
- Fleury, V., Chazalviel, J.N., Rosso, M., Sapoval, B., (1991) Phys. Rev. A, 44, p. 6693
- Fleury, V., Chazalviel, J.N., Rosso, M., (1992) Phys. Rev. Lett., 68, p. 2492
- Fleury, V., Chazalviel, J.N., Rosso, M., (1993) Phys. Rev. E, 48, p. 1279
- Barkey, D., Garik, P., Ben-Jacob, E., Millar, B., Orr, B., (1992) J. Electrochem. Soc., 139, p. 1044
- Hecker, N., Grier, D.J., Sander, L.M., (1985) Fractal Aspects of Materials, , R.B. Laibowitz B.B. Mandelbrot D.E. Passoja Materials Research Society University Park, PA
- Garik, P., Barkey, D., Ben-Jacob, E., Bochner, E., Broxholm, N., Miller, B., Orr, B., Zamir, R., (1989) Phys. Rev. Lett., 62, p. 2703
- Melrose, J.R., Hibbert, D.B., Ball, R.C., (1990) Phys. Rev. Lett., 65, p. 3009
- Fleury, V., Rosso, M., Chazalviel, J.N., (1991) Phys. Rev. A, 43, p. 6908
- Trigueros, P., Claret, J., Mas, F., Sagues, F., (1991) J. Electroanal. Chem., 312, p. 219
- Kuhn, A., Argoul, F., (1993) Fractals, 1, p. 451
- Carro, P., Marchiano, S.L., Hernandez Creus, A., Gonzalez, S., Salvarezza, R.C., Arvia, A.J., (1993) Phys. Rev. E, 48, p. 2374
- Kuhn, A., Argoul, F., (1994) J. Electroanal. Chem., 371, p. 93
- Kuhn, A., Argoul, F., (1994) Phys. Rev. E, 49, p. 4298
- Otero, D., Marshall, G., Tagtachian, S., (1996) Fractals, 4, p. 7
- Trigueros, P.P., Sagues, F., Claret, J., (1994) Phys. Rev. E, 49, p. 4328
- Fleury, V., Kaufman, J., Hibbert, B., (1994) Nature, 367, p. 435
- Linehan, K.A., De Bruyn, J.R., (1995) Can. J. Phys., 73, p. 177
- Fleury, V., Rosso, M., Chazalviel, J.N., (1995) MRS Symposia Proc, 367, p. 183. , R.A. Lowden, J.R. Hellmann, M.K. Ferber, S.G. DiPietro, K.K. Chawla (Eds.), Ceramic Matrix Composites: Advanced High-Temperature Structured Materials Material Research Society, Pittsburg
- Huth, J., Swinney, H., McCormick, W., Kuhn, A., Argoul, F., (1995) Phys. Rev. E, 51, p. 3444
- Leger, C., Elezgaray, J., Argoul, F., (1997) Phys. Rev. Lett., 78, p. 5010
- Lopez-Salvans, M.Q., Sagues, F., Claret, J., Bassas, J., (1997) Phys. Rev. E, 56, p. 6869
- Barkey, D., (2000) Advances in Electrochemical Science and Engineering, 7. , Alkire Kolb Wiley/VCH
- Marshall, G., Perone, E., Tarela, P., Mocskos, P., (1995) Chaos Solitons Fract., 6, p. 315
- Marshall, G., Mocskos, P., (1997) Phys. Rev. E, 55, p. 549
- Pietronero, L., Weismann, H.J., (1984) J. Stat. Phys., 36, p. 909
- Marshall, G., Mocskos, P., Swinney, H.L., Huth, J.M., (1999) Phys. Rev. E, 59, p. 2157
- Dengra, S., Marshall, G., Molina, F., (2000) J. Phys. Soc. Jpn., 69, p. 963
- Gonzalez, G., Marshall, G., Molina, F.V., Dengra, S., Rosso, M., (2001) J. Electrochem. Soc., 148, pp. C479
- Gonzalez, G., Marshall, G., Molina, F.V., Dengra, S., (2002) Phys. Rev. E, 65, p. 051607
- Marshall, G., Mocskos, E., Molina, F.V., Dengra, S., (2003) Phys. Rev. E, 68, p. 021607
- Bradley, J.C., Chen, H.M., Crawford, J., Eckert, J., Ernazarova, K., Kurzeja, T., Lin, M., Stephens, S.M., (1997) Nature, 389, p. 268
- Bradley, J.C., Dengra, S., Gonzalez, G.A., Marshall, G., Molina, F.V., (1999) J. Electroanal. Chem., 478, p. 128
- Gonzalez, G., (2003) Transporte Ionico Y Patrones De Crecimiento En Electrodeposicion Ramificada, , PhD Thesis, University of Buenos Aires
- Bard, A.J., Faulkner, L.R., (1980) Electrochemical Methods, Fundamentals and Applications, , Wiley New York
- Newman, J.S., (1973) Electrochemical Systems, , Prentice-Hall New Jersey
- Probstein, R.F., (1994) Physicochemical Hydrodynamics: An Introduction, , Wiley New York
- Levich, V.G., (1962) Physicochemical Hydrodynamics, , Prentice-Hall New Jersey
- Spiro, M., (1971) Techniques of Chemistry, p. 205. , A. Weissberger B.W. Rossiter Wiley/Interscience New York
Citas:
---------- APA ----------
Marshall, G., Molina, F.V. & Soba, A.
(2005)
. Ion transport in thin cell electrodeposition: Modelling three-ion electrolytes in dense branched morphology under constant voltage and current conditions. Electrochimica Acta, 50(16-17), 3436-3445.
http://dx.doi.org/10.1016/j.electacta.2004.12.018---------- CHICAGO ----------
Marshall, G., Molina, F.V., Soba, A.
"Ion transport in thin cell electrodeposition: Modelling three-ion electrolytes in dense branched morphology under constant voltage and current conditions"
. Electrochimica Acta 50, no. 16-17
(2005) : 3436-3445.
http://dx.doi.org/10.1016/j.electacta.2004.12.018---------- MLA ----------
Marshall, G., Molina, F.V., Soba, A.
"Ion transport in thin cell electrodeposition: Modelling three-ion electrolytes in dense branched morphology under constant voltage and current conditions"
. Electrochimica Acta, vol. 50, no. 16-17, 2005, pp. 3436-3445.
http://dx.doi.org/10.1016/j.electacta.2004.12.018---------- VANCOUVER ----------
Marshall, G., Molina, F.V., Soba, A. Ion transport in thin cell electrodeposition: Modelling three-ion electrolytes in dense branched morphology under constant voltage and current conditions. Electrochim Acta. 2005;50(16-17):3436-3445.
http://dx.doi.org/10.1016/j.electacta.2004.12.018