# get_electron_density_LM¶

plasmapy.diagnostics.langmuir.get_electron_density_LM(electron_saturation_current: Unit("A"), T_e: Unit("eV"), probe_area: Unit("m2")) -> Unit("1 / m3")

Implement the Langmuir-Mottley (LM) method of obtaining the electron density.

Parameters: electron_saturation_current (Quantity) – The electron saturation current in units convertible to A. T_e (Quantity) – The electron temperature in units convertible to eV. probe_area (Quantity) – The area of the probe exposed to plasma in units convertible to m^2. n_e – Estimate of the electron density in units convertible to m^-3. Quantity

Notes

The method implemented in this function obtains the electron density from the electron saturation current density, assuming a low plasma density. The electron saturation current is given by

$I_{es} = \frac{1}{4} e n_e A_p \sqrt{\frac{8 T_e}{\pi m_e}}.$

Please note that the electron saturation current density is a hard parameter to acquire and it is usually better to measure the ion density, which should be identical to the electron density in quasineutral plasmas.