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Maxwell relations

The Maxwell relations in thermodynamics can be derived from the symmetry of second derivatives and the definitions of the thermodynamic potentials,: 158–9 or from Jacobian determinants.: 172 The most common Maxwell relations involve the potential functions U {\displaystyle U} (the total internal energy), H {\displaystyle H} (enthalpy), A {\displaystyle…

The four most common Maxwell relations, Equations & Derivations

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The four most common Maxwell relations

TemperatureEntropyPressureVolumeInternal energy
8 related topics

Equations

Analytic functionSchwarz theoremNatural variablesPartial derivatives
4 related topics

Derivations

Total differentialsGibbs equationsEq.3
3 related topics

General Maxwell relationships

Number of particlesChemical potentialGrand potential
3 related topics

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Equations

The four most common Maxwell relations

Derivations

General Maxwell relationships

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Maxwell relations

Nodes31
Edges30
Triples38
Avg. degree1.94
Density0.064516
Components1

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Maxwell relations

Top relations

related to Derivation in terms of Jacobians · 15
Maxwell relations → By, For, Jacobians, Maxwell, Maxwell's, Now, PdV, PV, Since, Taking, TdS, TdS-PdV, That, This, TS
related to Extended derivations · 9
Maxwell relations → Consider, Derivation, It, Maxwell, Since, Symmetry, The, This, We
related to Equations · 6
Maxwell relations → In, It, Maxwell, Phi, Schwarz, The
related to General Maxwell relationships · 5
Maxwell relations → For, Maxwell, The, The Maxwell, When
related to The four most common Maxwell relations · 2
Maxwell relations → Maxwell, The
is a · 1
Maxwell relations → statement of equality among the second derivatives for continuous functions

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Important terminology

displaystyle maxwell relations frac partial thermodynamic left right variables four derivatives two second enthalpy pressure volume relation potentials potential functions

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SubjectPredicateObjectConfidenceSrc
Maxwell relationsis astatement of equality among the second derivatives for continuous functions0.90text
Maxwell relationsrelated to Derivation in terms of JacobiansThis0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansSince0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansTdS-PdV0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansTdS0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansPdV0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansTaking0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansThat0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansMaxwell's0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansPV0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansTS0.60section
Maxwell relationsrelated to Derivation in terms of JacobiansBy0.60section

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