Chemical potential is particle count derivative of free energy

The chemical potential of the system is the amount of energy the system absorbs or releases due to the introduction of a particle into the system, i.e. when the particle count increases by one.

Links:

  1. Wikipedia.

chemical_potential

chemical_potential of the system.

Symbol:

mu

Latex:

\(\mu\)

Dimension:

energy

temperature

temperature of the system.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

volume

volume of the system.

Symbol:

V

Latex:

\(V\)

Dimension:

volume

particle_count

particle_count of the system.

Symbol:

N

Latex:

\(N\)

Dimension:

dimensionless

free_energy

Helmholtz free energy of the system as a function of its natural variables.

Symbol:

F(T, V, N)

Latex:

\(F{\left(T,V,N \right)}\)

Dimension:

energy

law

mu = Derivative(F(T, V, N), N)

Latex:
\[\mu = \frac{\partial}{\partial N} F{\left(T,V,N \right)}\]