Nernst–Planck equation
E446184
The Nernst–Planck equation is a fundamental relation in electrochemistry that describes the flux of charged species under the combined influence of diffusion, electric fields, and, in extended forms, convection.
Statements (53)
| Predicate | Object |
|---|---|
| instanceOf |
electrochemical equation
ⓘ
partial differential equation ⓘ phenomenological law ⓘ transport equation ⓘ |
| appliesTo |
battery electrolytes
ⓘ
biological ion channels ⓘ charged species in electrolytes ⓘ electrochemical cells ⓘ fuel cell electrolytes ⓘ ionic transport through membranes ⓘ ions in solution ⓘ semiconductor charge carriers ⓘ |
| assumes |
continuum description of electrolyte
ⓘ
dilute solution approximation in its simplest form ⓘ |
| combinedWith |
Poisson equation
NERFINISHED
ⓘ
continuity equation ⓘ |
| describes |
coupled diffusion and migration of ions
ⓘ
flux of charged species ⓘ ion transport in electrolytes ⓘ mass transport in electrochemical systems ⓘ |
| field |
biophysics
ⓘ
electrochemistry ⓘ membrane transport theory ⓘ physical chemistry ⓘ |
| forms | Poisson–Nernst–Planck equations NERFINISHED ⓘ |
| generalizes | Fick's first law of diffusion NERFINISHED ⓘ |
| hasComponent |
Faraday constant
NERFINISHED
ⓘ
absolute temperature ⓘ concentration gradient ⓘ diffusion coefficient ⓘ electric potential gradient ⓘ fluid velocity field ⓘ gas constant ⓘ valence of ion ⓘ |
| hasForm | flux equals sum of diffusive, migrative, and convective terms ⓘ |
| includesProcess |
convection
ⓘ
diffusion ⓘ drift of charged particles ⓘ electromigration ⓘ migration in an electric field ⓘ |
| namedAfter |
Max Planck
NERFINISHED
ⓘ
Walther Nernst NERFINISHED ⓘ |
| relates |
electrochemical potential to ion transport
ⓘ
ionic flux to concentration and potential gradients ⓘ |
| usedIn |
modeling biological membranes
ⓘ
modeling corrosion systems ⓘ modeling electrode processes ⓘ modeling ion-selective membranes ⓘ modeling microfluidic electrokinetic flows ⓘ numerical simulations of electrochemical cells ⓘ |
| usesConcept |
chemical potential
ⓘ
electric potential ⓘ electrochemical potential ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.