AUTOMATIC DERIVATION OF THE GOVERNING EQUATIONS THAT DESCRIBE A TRANSIENT ELECTROCHEMICAL EXPERIMENT, GIVEN A REACTION-MECHANISM OF ARBITRARY COMPLEXITY .1. PROBLEM PARAMETERS AND INITIAL CONDITIONS
Lk. Bieniasz, AUTOMATIC DERIVATION OF THE GOVERNING EQUATIONS THAT DESCRIBE A TRANSIENT ELECTROCHEMICAL EXPERIMENT, GIVEN A REACTION-MECHANISM OF ARBITRARY COMPLEXITY .1. PROBLEM PARAMETERS AND INITIAL CONDITIONS, Journal of electroanalytical chemistry [1992], 406(1-2), 1996, pp. 33-43
We describe a systematic procedure for determining a self-consistent s
et of thermodynamic and kinetic parameters and initial conditions that
are needed for the simulation of transient electrochemical experiment
s, given a reaction mechanism of arbitrary complexity. This is an exte
nsion of the algorithm recently suggested by Luo et al. (J. Electroana
l. Chem., 368 (1994) 109) to the larger class of reaction networks inv
olving elementary or non-elementary electrochemical, heterogeneous non
-electrochemical and homogeneous reactions of unrestricted molecularit
ies, subject to the power rate law with reaction orders that can be di
fferent from stoichiometric coefficients. Equilibrium, non-equilibrium
reversible and irreversible reactions between bulk species (distribut
ed in the electrolyte) and interfacial species (located at electrodes)
are allowed, as well as the presence of species with invariant concen
trations. Tests enabling verification of the correctness of the symbol
ically written reaction mechanisms are described. The procedure is par
t of an algorithm for automatic, computer-aided translation of electro
chemical reaction mechanisms into corresponding texts of mathematical
governing equations.