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Anal. Chem. 2010, 82, 6933–6939<br />

Difference between Ultramicroelectrodes and<br />

Microelectrodes: Influence of Natural Convection<br />

Christian Amatore,* Cécile Pebay, Laurent Thouin,* Aifang Wang, and J-S. Warkocz<br />

Ecole Normale Supérieure, Département de Chimie, UMR CNRS-ENS-UPMC 8640 “Pasteur”, 24 rue Lhomond,<br />

F-75231 Paris Cedex 05, France<br />

Natural convection in macroscopically immobile solutions<br />

may still alter electrochemical experiments performed<br />

with electrodes of micrometric dimensions. A model<br />

accounting for the influence of natural convection allowed<br />

delineating conditions under which it interferes with mass<br />

transport. Several electrochemical behaviors may be<br />

observed according to the time scale of the experiment,<br />

electrode dimensions, and intensity of natural convection.<br />

The range of parameters in which ultramicrelectrodes<br />

behave under a true diffusional steady state was identified.<br />

Mapping of concentration profiles was performed experimentally<br />

by scanning electrochemical microscopy in the<br />

vicinity of microelectrodes of various radii. The results<br />

validated remarkably the predictions of the model, evidencing<br />

in particular the alteration of the diffusional<br />

steady state by natural convection.<br />

Microelectrodes are versatile tools for the study of electrochemical<br />

processes of mechanistic and/or analytical interest. Their<br />

advantageous properties stem from their small size. Microelectrodes<br />

may be used in highly resistive environments and in very<br />

small sample volumes. They enable the detection of very small<br />

amounts of material and allow short time responses. 1-9 However,<br />

the definition of a microelectrode is still nowadays ambiguous.<br />

Actually, the notion of a microelectrode differs greatly according<br />

to the particular origin of electrochemists, i.e., electroanalytical<br />

chemists or molecular electrochemists. The term microelectrode<br />

may then encompass electrodes of either millimetric or micrometric<br />

dimensions. Electrodes of smaller sizes are referred to as<br />

ultramicroelectrodes. Such definitions, based mainly on historical<br />

* To whom correspondence should be addressed. E-mail: christian.amatore@<br />

ens.fr (C.A.); laurent.thouin@ens.fr.<br />

(1) Fleischmann, M.; Pons, S.; Rolison, D. R. Ultramicroelectrodes; Datatech<br />

Systems, Inc.: Morgantown, NC, 1987.<br />

(2) Bond, A. M.; Oldham, K. B.; Zoski, C. G. Anal. Chim. Acta 1989, 216,<br />

177–230.<br />

(3) Wightman, R. M.; Wipf, D. O. Electroanalytical <strong>Chemistry</strong>; Marcel Dekker:<br />

New York, 1989; Vol. 15, pp 267-353.<br />

(4) Montenegro, M. I.; Queiros, M. A.; Daschbach, J. L. Microelectrodes: Theory<br />

and Applications; Kluwer Academic Press: Dordrecht, The Netherlands,<br />

1991; Vol. 197.<br />

(5) Aoki, K. Electroanalysis 1993, 5, 627–639.<br />

(6) Heinze, J. Angew. Chem., Int. Ed. 1993, 32, 1268–1288.<br />

(7) Amatore, C. Electrochemistry at ultramicroelectrodes. In Physical Electrochemistry;<br />

Rubinstein, I., Ed.; Marcel Dekker: New York, 1995.<br />

(8) Stulik, K.; Amatore, C.; Holub, K.; Marecek, V.; Kutner, W. Pure Appl. Chem.<br />

2000, 72, 1483–1492.<br />

(9) Forster, R. J. Encyclopedia of Electrochemistry; John Wiley & Sons: New<br />

York, 2003; Vol. 3, pp 160-195.<br />

criteria, may appear useless since they better define the origin of<br />

the users than the object itself. A better classification of these<br />

electrodes would be obtained if it were based on their particular<br />

properties. Since electrochemical reactions are interfacial reactions,<br />

mass transport is one of the key processes to consider. 10<br />

In a liquid, elementary contributions in the mass transport are<br />

diffusion, migration, and convection. Under most circumstances,<br />

migration is suppressed by adding a large excess of dissociated<br />

inert salt or supporting electrolyte. Convection is often neglected<br />

at electrodes of micrometric dimensions in macroscopically still<br />

solutions. Indeed, convection originates from movement of fluid<br />

packets of micrometric size. 11 It necessarily vanishes close to the<br />

electrode interface over distances where concentrations differ<br />

significantly from their bulk values. 12,13 In such a case, only<br />

diffusion is assumed to govern the final approach of an electroactive<br />

molecule toward the electrode. However, according to the<br />

size of these electrodes and time scale of the experiments,<br />

convective fluxes due to natural convection may still compete with<br />

diffusional fluxes in motionless solutions. This may occur even<br />

in the absence of any density gradients 14 or effects induced by a<br />

magnetic field. 15 These situations arise as soon as the thickness<br />

of the diffusion layer becomes comparable to the thickness of the<br />

convection-free domain. 7 Under such conditions, the responses<br />

do not follow the classical relationships given for currents in<br />

dynamic and steady-state regimes. Therefore, under given experimental<br />

conditions, it is of importance to decide the largest<br />

size of an electrode for eliminating any influence of natural<br />

convection. 16,17 Such a criterion may then allow distinguishing<br />

properties of ultramicroelectrodes from those of other electrodes<br />

of micrometric sizes.<br />

To assess the conditions of convection-free regimes at electrodes<br />

of micrometric dimensions, we investigated in some<br />

previous studies the current responses of micrometric disk<br />

(10) Bard, A. J.; Faulkner, L. R. Electrochemical Methods, 2nd ed.; John Wiley &<br />

Sons: New York, 2001.<br />

(11) Moreau, M.; Turq, P. <strong>Chemical</strong> Reactivity in Liquids: Fundamental Aspects;<br />

Kluwer Academic/Plenum Press: New York, 1988; pp 561-606.<br />

(12) Levich, V. G. Physicochemical Hydrodynamics; Prentice Hall: Englewoods<br />

Cliffs, NJ, 1962.<br />

(13) Davies, J. E. Turbulence Phenomena; Academic Press: New York, 1972.<br />

(14) Li, Q. G.; White, H. S. Anal. Chem. 1995, 67, 561–569.<br />

(15) Grant, K. M.; Hemmert, J. W.; White, H. S. J. Electroanal. Chem. 2001,<br />

500, 95–99.<br />

(16) Hapiot, P.; Lagrost, C. Chem. Rev. 2008, 108, 2238–2264.<br />

(17) Molina, A.; Gonzalez, J.; Martinez-Ortiz, F.; Compton, R. G. J. Phys. Chem.<br />

C 2010, 114, 4093–4099.<br />

10.1021/ac101210r © 2010 American <strong>Chemical</strong> Society 6933<br />

<strong>Analytical</strong> <strong>Chemistry</strong>, Vol. 82, No. 16, August 15, 2010<br />

Published on Web 07/26/2010

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