Schmickler tunneling

Schmickler W, Tao N (1997) Measuring the inverted region of an electron transfer reaction with a scanning tunneling microscope. Electrochim Acta 42 2809-2815... 

Scanning tunneling microscopy (STM), 787. 1157 bioelectrochemistry and, 1159 electrochemistry and. 1158 electrodeposition and. 1310 nanotechnology, 1345 piezoelectric crystal, 1158 tunneling current. 1157 underpotential deposition, 1313, 1315 Scavanger electrolysis, electrodeposition, 1343 Schlieren method, diffusion layer. 1235 Schmickler, 1495,1510 Schrodinger equation, 1456, 1490 Schultze 923,1497.1510 Screw dislocation, 1303, 1316, 1321, 1326 Secondary reference electrode, 815, 1109 Self-consumed electrode, 1040 Semiconductors... 

A lively subsection in applications of quantum theory to transitions at electrodes concerns the tunneling of electrons through oxide films. This work has been led by Schmickler (1980, 1996), who has used a quantum mechanical approach known as resonance tunneling to explain the unexpected curvature of Tafel lines for electron transfer through oxide-covered electrodes (Fig. 9.21). 

W. Schmickler, J. Electroanal. Theory 100 533 (1979). Theory of electrodic currents through coatings (and oxide films) in terms of resonance tunneling. Tafel lines curve. 

Near flat-band potential, the space-charge layer becomes considerably more transparent and the tunneling solution correspondingly more complex. By considering a monolayer of water molecules on the surface of the semiconductor that provide a square potential well, analytical solutions were obtained by Schmickler under the assumptions... 

The underlying, or associated, clouds of tunnelling electrons in the non-conducting electrolyte, clearly an anisotropic scalar flux, got the name jellium from the electrochemist Schmickler (1993). The consolation is that the mathematics is often right, even if the language is difficult, or idiosyncratic. The electrochemist s system has to be joined, not beaten ... 

Including fluctuations of the polarization in their calculation, these authors find a weak temperature dependence of the tunnel barrier which confirms the minor dynamical role of the liquid, in agreement with Schmickler and Henderson s assumption [29], The transit time of tunneling electrons estimated by Sebastian and Doyen is 10 s, which is indeed much shorter than the time needed for the solvent molecules to rearrange. Calculations nevertheless show that thermal fluctuations in the polarization can reduce the effective barrier to nearly 1.5 eV, independently of the difference of work functions. 

Schmickler, W. and Widrig, C. (1992) The investigation of redox reactions with a scanning tunneling... 

The first model of electron tunneling through water layers was proposed by W. Schmickler and D. Henderson 1990. "... 

Redox currents for metals passivated with high (Ta, Ti, Nb) and low band gap (Sn, Fe, Ni) and metallic (Ru) oxides including metals with very thin oxides (Pt, Au) allowing direct tunneling through the oxide. (From Schmickler, W. and Schultze, J.W., in Modern Aspects of Electrochemistry, Vol. 17, J.O M. Bockris, B.E. Conway, R.E. White, eds.. Plenum Press, New York, p. 357,1986.)... 

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