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A thermodynamic potential (or more accurately, a thermodynamic potential energy)[1][2] is a scalar quantity used to represent the thermodynamic state of a system. Just as in mechanics, where potential energy is defined as capacity to do work, similarly different potentials have different meanings. The concept of thermodynamic potentials was introduced by Pierre Duhem in 1886. Josiah Willard Gibbs in his papers used the term fundamental functions.
One main thermodynamic potential that has a physical interpretation is the internal energy U. It is the energy of configuration of a given system of conservative forces (that is why it is called potential) and only has meaning with respect to a defined set of references (or data). Expressions for all other thermodynamic energy potentials are derivable via Legendre transforms from an expression for U. In other words, each thermodynamic potential is equivalent to other thermodynamic potentials; each potential is a different expression of the others.
In thermodynamics, external forces, such as gravity, are counted as contributing to total energy rather than to thermodynamic potentials. For example, the working fluid in a steam engine sitting on top of Mount Everest has higher total energy due to gravity than it has at the bottom of the Mariana Trench, but the same thermodynamic potentials. This is because the gravitational potential energy belongs to the total energy rather than to thermodynamic potentials such as internal energy.
^ISO/IEC 80000-5, Quantities an units, Part 5 - Thermodynamics, item 5-20.4 Helmholtz energy, Helmholtz function
^ISO/IEC 80000-5, Quantities an units, Part 5 - Thermodynamics, item 5-20.5, Gibbs energy, Gibbs function
and 27 Related for: Thermodynamic potential information
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symmetry of second derivatives and from the definitions of the thermodynamicpotentials. These relations are named for the nineteenth-century physicist...
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energy as the recommended name; symbol G {\displaystyle G} ) is a thermodynamicpotential that can be used to calculate the maximum amount of work, other...
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which is a function of pressure and temperature. Knowing any one thermodynamicpotential F {\displaystyle {\mathcal {F}}} is sufficient to compute all equilibrium...
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The following energies are called the thermodynamicpotentials, and the corresponding fundamental thermodynamic relations or "master equations" are: The...
{\displaystyle T} the temperature, and S {\displaystyle S} the entropy. The thermodynamicpotentials also satisfy d U = T d S − P d V + ∑ i μ i d n i , {\displaystyle...
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level of a solid-state body is the thermodynamic work required to add one electron to the body. It is a thermodynamic quantity usually denoted by µ or EF...