Gibbs phase rule
E517574
The Gibbs phase rule is a fundamental thermodynamic principle that relates the number of components and phases in a system to its degrees of freedom, determining how many variables can be independently varied without changing the number of phases in equilibrium.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Gibbs phase rule canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5390036 — 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: Gibbs phase rule Context triple: [Josiah Willard Gibbs, knownFor, Gibbs phase rule]
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A.
Clausius–Clapeyron relation
The Clausius–Clapeyron relation is a fundamental thermodynamic equation that describes how the pressure and temperature of a phase transition, such as boiling or condensation, are related.
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B.
Gibbs free energy
Gibbs free energy is a thermodynamic potential that predicts the spontaneity of processes and the maximum non-expansion work obtainable from a system at constant temperature and pressure.
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C.
Gibbs ensemble
The Gibbs ensemble is a statistical physics framework that describes the probabilistic distribution of microstates for systems in thermal equilibrium, typically at fixed temperature, volume, and particle number.
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D.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
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E.
Carathéodory’s formulation of the second law of thermodynamics
Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
- 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: Gibbs phase rule Target entity description: The Gibbs phase rule is a fundamental thermodynamic principle that relates the number of components and phases in a system to its degrees of freedom, determining how many variables can be independently varied without changing the number of phases in equilibrium.
-
A.
Clausius–Clapeyron relation
The Clausius–Clapeyron relation is a fundamental thermodynamic equation that describes how the pressure and temperature of a phase transition, such as boiling or condensation, are related.
-
B.
Gibbs free energy
Gibbs free energy is a thermodynamic potential that predicts the spontaneity of processes and the maximum non-expansion work obtainable from a system at constant temperature and pressure.
-
C.
Gibbs ensemble
The Gibbs ensemble is a statistical physics framework that describes the probabilistic distribution of microstates for systems in thermal equilibrium, typically at fixed temperature, volume, and particle number.
-
D.
Onsager reciprocal relations
Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
-
E.
Carathéodory’s formulation of the second law of thermodynamics
Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
equilibrium criterion
ⓘ
physical law ⓘ thermodynamic rule ⓘ |
| appliesTo |
closed systems
ⓘ
heterogeneous systems at equilibrium ⓘ multicomponent systems ⓘ |
| assumes |
chemical equilibrium
ⓘ
intensive variables uniform within each phase ⓘ mechanical equilibrium ⓘ no external fields ⓘ thermal equilibrium ⓘ |
| category | equilibrium thermodynamics ⓘ |
| condensedForm | F = C − P + 1 ⓘ |
| condensedFormAppliesTo |
systems at constant pressure
ⓘ
systems where gas phase is neglected ⓘ |
| coreConcept | intensive variables minus constraints give degrees of freedom ⓘ |
| defines |
C as number of components
ⓘ
F as number of degrees of freedom ⓘ P as number of phases ⓘ |
| describes | relationship between components phases and degrees of freedom ⓘ |
| field |
chemical engineering
ⓘ
materials science ⓘ physical chemistry ⓘ thermodynamics ⓘ |
| hasVariant | condensed phase rule ⓘ |
| implies |
maximum number of coexisting phases is C + 1 in condensed systems
ⓘ
maximum number of coexisting phases is C + 2 in non-condensed systems ⓘ |
| introducedIn | 19th century ⓘ |
| namedAfter | Josiah Willard Gibbs ⓘ |
| relatedTo |
Gibbs free energy minimization
ⓘ
chemical potential equality in phases ⓘ phase equilibrium conditions ⓘ |
| relatesQuantity |
degrees of freedom
ⓘ
number of components ⓘ number of phases ⓘ |
| requires |
counting of phases in equilibrium
ⓘ
knowledge of independent components ⓘ |
| symbolicForm | F = C − P + 2 ⓘ |
| taughtIn |
materials thermodynamics courses
ⓘ
physical chemistry curricula ⓘ undergraduate thermodynamics courses ⓘ |
| usedFor |
analyzing azeotropes
ⓘ
analyzing eutectic reactions ⓘ analyzing invariant points ⓘ analyzing peritectic reactions ⓘ constructing phase diagrams ⓘ determining variance of a system ⓘ predicting number of coexisting phases ⓘ |
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: Gibbs phase rule Description of subject: The Gibbs phase rule is a fundamental thermodynamic principle that relates the number of components and phases in a system to its degrees of freedom, determining how many variables can be independently varied without changing the number of phases in equilibrium.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.