Electroanalytical chemistry — IUPAC-V analytical chemistry at the electrode/electrolyte interface, distinct from electrochemistry-at-the-methods-grain. Foundations: potentiometry uses equilibrium electrode potentials (no net current) to…
electroanalytical-chemistry
Nernst equation: E = E° − (RT/nF) ln Q (equilibrium-potentiometry backbone)
Foundational framework of potentiometric electroanalysis: the Nernst equation relates the cell voltage E of an electrochemical…
Butler-Volmer: i = i₀ [exp(αFη/RT) − exp(−(1−α)Fη/RT)] (symmetric α=1/2 ⇒ 2 i₀ sinh)
Framework for voltammetric electrode-kinetics analysis: the Butler-Volmer equation captures the overpotential (η = E − E_eq) dependence of…
Faraday's law: n = Q/(zF); m = n·M (coulometry / electroplating stoichiometry)
Framework for coulometric electroanalysis: Faraday's laws (1834) establish the strict linearity between charge passed through an electrode…
Nernst: Q=1 ⇒ E = E°; log(1) = 0; E − E° = 0 at standard state
Sympy-exact symbolic witness of the Nernst equation's Q=1 limit recovering E = E°. Setup: symbolically declare (E°, R, T, n, F, Q) and…
α=1/2 BV: i = 2 i₀ sinh(Fη/(2RT)); rewrite(exp) residual 0; i(η=0)=0
Sympy-exact symbolic witness of the symmetric Butler-Volmer equation's identity with the exponential-expansion form and its…
Cu²⁺+2e⁻→Cu, M=127/2 g/mol, Q=2F ⇒ n=1 mol, mass = 127/2 g
Sympy-exact symbolic witness of Faraday's law applied to copper electrodeposition from Cu²⁺ solution. Setup: M_Cu = 63.5 g/mol = 127/2…