Chemical potential of ideal gas¶
The chemical potential of an ideal gas can be calculated from its temperature, concentration, and thermal wavelength.
Notation:
\(k_\text{B}\) (
k_B) isboltzmann_constant.
Conditions:
The gas is ideal.
Links:
Formula on p. 394 of “Statistical Mechanics” by Terrent L. Hill (1987)
- chemical_potential¶
chemical_potentialof ideal gas.
- Symbol:
mu- Latex:
\(\mu\)
- Dimension:
energy
- temperature¶
temperatureof the gas.
- Symbol:
T- Latex:
\(T\)
- Dimension:
temperature
- concentration¶
Concentration of the gas, or
number_density.
- Symbol:
n- Latex:
\(n\)
- Dimension:
1/volume
- thermal_wavelength¶
thermal_wavelengthof the gas. Also see Thermal de Broglie wavelength.
- Symbol:
lambda- Latex:
\(\lambda\)
- Dimension:
length
- law¶
mu = k_B * T * log(n * lambda^3)- Latex:
- \[\mu = k_\text{B} T \log \left( n \lambda^{3} \right)\]