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Double-layer capacitance is the important characteristic of the electrical double layer [1] [2] which appears at the interface between a surface and a fluid (for example, between a conductive electrode and an adjacent liquid electrolyte).
In surface science, a double layer (DL, also called an electrical double layer, EDL) is a structure that appears on the surface of an object when it is exposed to a fluid. The object might be a solid particle, a gas bubble, a liquid droplet, or a porous body. The DL refers to two parallel layers of charge surrounding the object.
where C D = ε 0 ε κ is the diffuse layer capacitance and C I the inner (or regulation) capacitance. The CC conditions are found when p = 1 while the CP conditions for p = 0. The realistic case will be typically situated in between. By solving the DH equation one can show that diffuse layer potential varies upon approach as
Randles circuit schematic. In electrochemistry, a Randles circuit is an equivalent electrical circuit that consists of an active electrolyte resistance R S in series with the parallel combination of the double-layer capacitance C dl and an impedance (Z w) of a faradaic reaction.
Double-layer capacitance – Storage is achieved by separation of charge in a Helmholtz double layer at the interface between the surface of a conductor and an electrolytic solution. The distance of separation of charge in a double-layer is on the order of a few Angstroms (0.3–0.8 nm). This storage is electrostatic in origin. [1]
In electronics, a constant phase element is an equivalent electrical circuit component that models the behaviour of a double layer, that is, an imperfect capacitor (see double-layer capacitance). Constant phase elements are also used in equivalent circuit modeling and data fitting of electrochemical impedance spectroscopy data.
A Warburg impedance element can be difficult to recognize because it is nearly always associated with a charge-transfer resistance (see charge transfer complex) and a double-layer capacitance, but is common in many systems.
An electrode | electrolyte interface behaves like a capacitance called electrochemical double-layer capacitance . The equivalent circuit for the redox reaction in Fig. 2 includes the double-layer capacitance C dl {\displaystyle C_{\text{dl}}} as well as the charge transfer resistance R ct {\displaystyle R_{\text{ct}}} .