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typo in theory guide
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prehner committed Aug 31, 2023
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# Derivatives of density profiles
For converged density properties equilibrium properties can be calculated as partial derivatives of thermodynamic potentials analogous to classical (bulk) thermodynamics. The difference is that the derivatives have to be along a path of valid density profiles (solutions of the [Euler-Lagrange equation](euler_lagrange_equation.md)).
For converged density profiles equilibrium properties can be calculated as partial derivatives of thermodynamic potentials analogous to classical (bulk) thermodynamics. The difference is that the derivatives have to be along a path of valid density profiles (solutions of the [Euler-Lagrange equation](euler_lagrange_equation.md)).

The density profiles are calculated implicitly from the Euler-Lagrange equation, which can be written simplified as

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