A unified approach to linear electrochemical systems

Linear sweep and cyclic voltammetry of porous mixed conducting oxygen electrode: Formal study of insertion, diffusion and chemical reaction model

“…( 15), (*) is the usual symbol for convolution, , and denotes the inverse Laplace transform operator. The term is the so-called mass transfer function [52][53][54] defined as , where is the Laplace operator and s is the Laplace variable. The function is the IE kernel in Eq.…”

“…In the more general way [52][53][54], the mass transfer function depends on the electrode geometry (here planar geometry), the mass transport process (here diffusion coupled to the homogeneous chemical reaction) and the boundary condition away from the electroactive interface (here restricted diffusion at the abscissa x = l). The relevant formulation for in this work is:…”

Prediction of Discharge Performances of Pseudocapacitors Using Their Impedance Characteristics

“…[22][23][24][25][26][27] With the introduction of a "systems-theoretic" approach on linear electrochemical systems, the coupling behavior between Faradaic and non-Faradaic processes was understood in a more general sense and pseudocapacitive reactions became one class of such coupled phenomena. [28][29][30][31] Therefore, pseudocapacitance behavior can be introduced properly in modeling actual pseudocapacitors by appreciating the elementary steps in the mechanism and the mode of coupling involved. 6,32,33 From the transport point of view, standard porous electrode theory can connect the local interfacial electrochemistry to the observed total potential drop and impedance.…”