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.

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Generate an image of the Sackur–Tetrode equation (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.)

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Label Occurrences
Sackur–Tetrode equation canonical 5

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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 Gibbs paradox ⓘ
dependsOn Planck constant ⓘ
mass of gas particles ⓘ
particle number ⓘ
temperature ⓘ
volume ⓘ
derivedFrom 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 ⓘ

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Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Boltzmann constant → appearsIn → Sackur–Tetrode equation ⓘ
Otto Sackur → knownFor → Sackur–Tetrode equation ⓘ
Otto Sackur → coAuthorOf → Sackur–Tetrode equation ⓘ
Hugo Tetrode → notableWork → Sackur–Tetrode equation ⓘ
Gibbs paradox → relatedTo → Sackur–Tetrode equation ⓘ