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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Nernst–Planck equation canonical | 1 |
| Poisson–Nernst–Planck equations | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4485830 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Nernst–Planck equation Context triple: [Faraday constant, appearsIn, Nernst–Planck equation]
-
A.
Nernst equation
The Nernst equation is a fundamental electrochemistry formula that relates the reduction potential of a half-cell to the standard electrode potential, temperature, and activities (or concentrations) of the chemical species involved.
-
B.
Fick's first law of diffusion
Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
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C.
Fokker–Planck equation
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
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D.
Cottrell equation
The Cottrell equation is a fundamental relation in electrochemistry that describes how current decays over time during a diffusion-controlled potential step at an electrode.
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E.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Nernst–Planck equation Target entity description: 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.
-
A.
Nernst equation
The Nernst equation is a fundamental electrochemistry formula that relates the reduction potential of a half-cell to the standard electrode potential, temperature, and activities (or concentrations) of the chemical species involved.
-
B.
Fick's first law of diffusion
Fick's first law of diffusion is a fundamental physical law that relates the diffusive flux of particles to the spatial gradient of their concentration, describing how substances move from regions of high to low concentration.
-
C.
Fokker–Planck equation
The Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of a stochastic (random) process, such as Brownian motion.
-
D.
Cottrell equation
The Cottrell equation is a fundamental relation in electrochemistry that describes how current decays over time during a diffusion-controlled potential step at an electrode.
-
E.
Einstein–Smoluchowski relation
The Einstein–Smoluchowski relation is a fundamental equation in statistical physics that links the diffusion coefficient of particles undergoing Brownian motion to their mobility and thermal energy.
- F. None of above. chosen
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
ⓘ
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
ⓘ
linked to:
Nernst–Planck equation
|
| generalizes | Fick's first law of diffusion ⓘ |
| hasComponent |
Faraday constant
ⓘ
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
ⓘ
Walther Nernst ⓘ |
| 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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Nernst–Planck equation Description of subject: 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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Nernst–Planck equation