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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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 NERFINISHED
Nernst equation NERFINISHED
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 NERFINISHED
Zdeněk Ševčík NERFINISHED
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