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ELECTROCHEMICAL METHODS Fundamentals and Applications - Allen.J.Bard

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14 Chapter 1. Introduction <strong>and</strong> Overview of Electrode Processes<br />

- Metal —>Ц Solution >-<br />

'I N i (+) Solvated cation<br />

!© 0<br />

)\ j<br />

ч<br />

~' "Ghost" of anion repelled<br />

from electrode surface<br />

ф 2<br />

x 2<br />

Figure 1.2.4 Potential profile across the<br />

double-layer region in the absence of specific<br />

adsorption of ions. The variable ф, called the<br />

inner potential, is discussed in detail in<br />

Section 2.2. A more quantitative<br />

representation of this profile is shown in<br />

Figure 12.3.6.<br />

1.2.4 Double-Layer Capacitance <strong>and</strong> Charging<br />

Current in Electrochemical Measurements<br />

Consider a cell consisting of an IPE <strong>and</strong> an ideal reversible electrode. We can approximate<br />

such a system with a mercury electrode in a potassium chloride solution that is also<br />

in contact with an SCE. This cell, represented by Hg/K + , CF/SCE, can be approximated<br />

by an electrical circuit with a resistor, R s<br />

, representing the solution resistance <strong>and</strong> a capacitor,<br />

C(j, representing the double layer at the Hg/K + ,C1~ interface (Figure 1.2.5). 5 Since<br />

нд<br />

drop<br />

electrode<br />

HI<br />

Wv II<br />

SCE<br />

-AM<br />

Figure 1.2.5 Left: Two-electrode cell with an ideal polarized mercury drop electrode <strong>and</strong> an SCE.<br />

Right: Representation of the cell in terms of linear circuit elements.<br />

о<br />

Actually, the capacitance of the SCE, С$ С<br />

Е, should also be included. However, the series capacitance of C d<br />

<strong>and</strong><br />

CSCE is C T<br />

= C d<br />

C SCE<br />

J[C d<br />

+ CSCEL <strong>and</strong> normally C SC<br />

E » Q> so that C T<br />

« C d<br />

. Thus, C SC<br />

E can be neglected<br />

in the circuit.

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