Sackur–Tetrode equation
E58192
The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Sackur–Tetrode equation canonical | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T461998 — 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.
Target entity: Sackur–Tetrode equation Context triple: [Boltzmann constant, appearsIn, Sackur–Tetrode equation]
-
A.
Maxwell–Boltzmann statistics
Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.
-
B.
Boltzmann constant
The Boltzmann constant is a fundamental physical constant that links temperature to energy at the particle level, playing a central role in statistical mechanics and thermodynamics.
-
C.
Boltzmann equation
The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
-
D.
equipartition theorem
The equipartition theorem is a principle in classical statistical mechanics stating that, at thermal equilibrium, each independent quadratic degree of freedom of a system contributes an average energy of (1/2)kT.
-
E.
Boltzmann distribution
The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Sackur–Tetrode equation Target entity description: The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
-
A.
Maxwell–Boltzmann statistics
Maxwell–Boltzmann statistics is a classical statistical framework in physics that describes the distribution of speeds or energies among distinguishable, non-quantum particles in thermal equilibrium.
-
B.
Boltzmann constant
The Boltzmann constant is a fundamental physical constant that links temperature to energy at the particle level, playing a central role in statistical mechanics and thermodynamics.
-
C.
Boltzmann equation
The Boltzmann equation is a fundamental kinetic theory equation that describes the statistical behavior and time evolution of a dilute gas or particle distribution in phase space due to streaming and collisions.
-
D.
equipartition theorem
The equipartition theorem is a principle in classical statistical mechanics stating that, at thermal equilibrium, each independent quadratic degree of freedom of a system contributes an average energy of (1/2)kT.
-
E.
Boltzmann distribution
The Boltzmann distribution is a fundamental probability distribution in statistical mechanics that describes how particles or states are populated over different energy levels at thermal equilibrium.
- F. None of above. chosen
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
statistical mechanics formula
ⓘ
thermodynamic equation ⓘ |
| appliesTo | ideal monatomic gas ⓘ |
| assumes |
classical ideal gas
ⓘ
distinguishability corrected by Gibbs factor ⓘ non-interacting particles ⓘ |
| breaksDownWhen |
gas becomes quantum degenerate
ⓘ
temperature is very low ⓘ |
| category |
equations of statistical mechanics
ⓘ
equations of thermodynamics ⓘ |
| corrects |
Boltzmann–Gibbs entropy in statistical mechanics
ⓘ
surface form:
Gibbs paradox
|
| dependsOn |
Planck constant
ⓘ
mass of gas particles ⓘ particle number ⓘ temperature ⓘ volume ⓘ |
| derivedFrom |
Boltzmann–Gibbs entropy in statistical mechanics
ⓘ
surface form:
Boltzmann entropy formula
Maxwell–Boltzmann statistics ⓘ |
| expresses |
entropy per mole
ⓘ
entropy per particle ⓘ |
| expressibleIn |
molar form
ⓘ
per-particle form ⓘ |
| field |
statistical mechanics
ⓘ
thermodynamics ⓘ |
| gives | absolute entropy ⓘ |
| includes |
logarithm of temperature to the three-halves power
ⓘ
logarithm of volume per particle ⓘ quantum concentration term ⓘ |
| namedAfter |
Hugo Tetrode
ⓘ
Otto Sackur ⓘ |
| relatedTo |
Avogadro constant
ⓘ
Boltzmann constant ⓘ |
| relates | entropy and phase-space volume ⓘ |
| role | bridge between classical and quantum descriptions of gases ⓘ |
| usedFor |
computing entropy of noble gases
ⓘ
connecting thermodynamic and microscopic quantities ⓘ testing quantum theory constants ⓘ |
| validWhen |
gas is dilute
ⓘ
quantum degeneracy is negligible ⓘ |
| yearProposed | 1912 ⓘ |
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.
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.
Subject: Sackur–Tetrode equation Description of subject: The Sackur–Tetrode equation is a fundamental formula in statistical mechanics that gives the absolute entropy of an ideal monatomic gas in terms of its volume, temperature, and particle number.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.