Plasma density

Plasma density must specify what is being counted or weighed. For species $s$, its number density $n_s$ counts particles per unit volume. Electron density $n_e$, ion density $n_i$ and total mass density $\rho ={\sum }_s{m}_s{n}_s$ need not be interchangeable. In a quasineutral mixture with ion charges $Z_{i}e$,For singly ionized hydrogen, $n_e\simeq n_i$, while the ions provide nearly all the mass. Adding heavier ions changes the relation between electron density and mass density.

An electron plasma frequency measurement offers a density diagnostic. In the cold, unmagnetized approximation with effectively fixed ions, displacement of electrons creates an electric restoring force, givingThe first formula uses SI units; the numerical version expresses electron density in particles per cubic centimetre.^[ref]

If an identified electron plasma oscillation has frequency $2000\mathrm{Hz}$, this model givesThis is an inference from an identified wave mode, not a particle counter reading. Magnetization, wave propagation, multiple species and instrument effects can change which spectral feature is observed, so interpreting a frequency requires the relevant plasma wave model.