Randles–Ševčík equation

E656454

The Randles–Ševčík equation is a fundamental electrochemical relationship that links peak current in cyclic voltammetry to the concentration and diffusion coefficient of a redox-active species.

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Randles–Ševčík equation canonical 1

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Statements (46)

Predicate Object
instanceOf analytical chemistry equation ⓘ
electrochemical equation ⓘ
appliesTo both anodic and cathodic peak currents in reversible systems ⓘ
diffusion-controlled processes ⓘ
reversible electrochemical reactions ⓘ
assumes Nernstian behavior at the electrode surface ⓘ
no significant double-layer charging current ⓘ
no significant ohmic drop ⓘ
planar electrode geometry ⓘ
semi-infinite linear diffusion ⓘ
category electroanalytical methods ⓘ
voltammetry ⓘ
contrastsWith kinetically controlled current expressions ⓘ
dependsOn temperature through the numerical constant ⓘ
derivationBasedOn Fick's laws of diffusion ⓘ
Nernst equation ⓘ
describes relationship between peak current and diffusion-controlled redox processes ⓘ
field analytical chemistry ⓘ
electrochemistry ⓘ
hasForm ip = (2.69 × 10^5) n^(3/2) A C D^(1/2) v^(1/2) at 25 °C for reversible systems ⓘ
influencedBy number of electrons transferred in the redox reaction ⓘ
involves Faradaic current ⓘ
mathematicalForm peak current proportional to concentration of electroactive species ⓘ
peak current proportional to square root of diffusion coefficient ⓘ
peak current proportional to square root of scan rate ⓘ
namedAfter John Edward Brough Randles ⓘ
Zdeněk Ševčík ⓘ
relatesQuantity concentration of redox-active species ⓘ
diffusion coefficient ⓘ
peak current ⓘ
scan rate ⓘ
temperature ⓘ
usedFor analysis of cyclic voltammograms ⓘ
characterization of electrochemical reversibility ⓘ
determination of concentration of electroactive species ⓘ
determination of diffusion coefficients ⓘ
usedIn cyclic voltammetry ⓘ
usedToEstimate electrode area from calibration measurements ⓘ
validUnder small amplitude potential perturbations relative to formal potential window ⓘ
supporting electrolyte in excess ⓘ
variable A (electrode area) ⓘ
C (bulk concentration) ⓘ
D (diffusion coefficient) ⓘ
ip (peak current) ⓘ
n (number of electrons transferred) ⓘ
v (potential scan rate) ⓘ

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Cottrell equation → relatedConcept → Randles–Ševčík equation ⓘ