Current calculation of irreversible electrode reaction mechanismsin linear sweep voltammetry

Application of exponential infinite series gives highly accurate analytical solution contributing to the theory linear sweep voltammetry for single scan experiments. We have calculated theoretical dimensionless current function (usually denoted as π1/2χ(bt)) at relevant potentials irreversible charge transfer without a coupled chemical reaction. For this purpose several transformation techniques were used, which convert derived into summable sequences. Since further electrochemical mechanisms with electrode reaction similar features (particularly those comprising preceding and catalytic reaction), same approach can be successfully applied also mechanisms. The respective are divergent in most important potential region after voltammetric peak therefore their by Epsilon Levin transform was used. Necessary arbitrary precision arithmetic (APA) implemented UBASIC. results compared customary Nicholson Shain, who computed current-potential curves means numerical integral equations but much lower precision. Our obtained broad range including regions where divergent. Obtained functions precise 12 valid decimal numbers, is utilizable evaluation achieved various faster less digital simulation techniques.