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 |
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 ⓘ |
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.