Butler–Volmer equation
E446185
The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Butler–Volmer equation canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4485831 — 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: Butler–Volmer equation Context triple: [Faraday constant, appearsIn, Butler–Volmer equation]
-
A.
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.
-
B.
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.
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C.
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.
-
D.
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.
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E.
Child–Langmuir law
The Child–Langmuir law is a fundamental space-charge-limited current law in vacuum electronics that relates the current density between parallel electrodes to the applied voltage raised to the three-halves power.
- 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: Butler–Volmer equation Target entity description: The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
Child–Langmuir law
The Child–Langmuir law is a fundamental space-charge-limited current law in vacuum electronics that relates the current density between parallel electrodes to the applied voltage raised to the three-halves power.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
electrochemical equation
ⓘ
kinetic equation ⓘ mathematical model ⓘ |
| appliesTo |
electrode processes
ⓘ
heterogeneous electron transfer ⓘ |
| assumes |
Arrhenius-type activation barrier
ⓘ
charge-transfer control ⓘ |
| category |
electrode kinetics
ⓘ
non-equilibrium thermodynamics ⓘ |
| describes |
activation-controlled charge-transfer reactions
ⓘ
electrode reaction kinetics ⓘ relationship between current density and electrode potential ⓘ |
| field | electrochemistry ⓘ |
| generalizes | simple Ohmic relation for electrode processes ⓘ |
| hasSpecialCase |
Tafel equation
ⓘ
linearized polarization relation at small overpotential ⓘ |
| hasVariable |
charge-transfer coefficient symbol α
ⓘ
current density symbol j ⓘ exchange current density symbol j0 ⓘ overpotential symbol η ⓘ |
| historicalPeriod | 20th century ⓘ |
| includesConstant |
Faraday constant
ⓘ
universal gas constant ⓘ |
| includesTerm |
anodic current contribution
ⓘ
cathodic current contribution ⓘ |
| languageOfName | English ⓘ |
| mathematicalForm | exponential dependence of current on overpotential ⓘ |
| namedAfter |
John Alfred Valentine Butler
ⓘ
Max Volmer ⓘ |
| relatedTo |
Marcus theory of electron transfer
ⓘ
Nernst equation ⓘ |
| relatesQuantity |
charge-transfer coefficient
ⓘ
current density ⓘ exchange current density ⓘ number of electrons transferred ⓘ overpotential ⓘ temperature ⓘ |
| usedFor |
analyzing Tafel behavior
ⓘ
describing corrosion kinetics ⓘ electroplating process analysis ⓘ fitting electrochemical kinetic parameters ⓘ fuel cell electrode modeling ⓘ modeling battery electrode reactions ⓘ modeling electrode polarization ⓘ |
| usedIn |
analysis of overpotential losses in electrochemical cells
ⓘ
design of electrochemical sensors ⓘ electrochemical impedance spectroscopy modeling ⓘ |
| validWhen |
mass transport is not rate limiting
ⓘ
reaction is under activation control ⓘ |
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: Butler–Volmer equation Description of subject: The Butler–Volmer equation is a fundamental relation in electrochemistry that describes how the rate of an electrode reaction (current density) depends on the electrode potential and reaction kinetics.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.