# 's' parameter for the Critical Hall parameter

## Description

The electrothermal instability (also known as the ionization instability) is a magnetohydrodynamic (MHD) instability appearing in magnetized non-thermal plasmas used in MHD converters. This instability is a turbulence of the electron gas in a non-equilibrium plasma (i.e. where the electron temperature Te is greatly higher than the overall gas temperature Tg). It arises when a magnetic field powerful enough is applied in such a plasma, reaching a critical Hall parameter βcr.

This formula calculates the 's’ parameter of the Critical Hall parameter.

Use this formula in combination with the other available “Critical Hall parameter” formulas.

Related formulas## Variables

s | 's' parameter (see : "Critical Hall parameter" formulas) (dimensionless) |

k | Boltzmann constant |

T_{e} | The electron temperature (K) |

E_{i} | The ionization energy (1.609e-19 J) (J) |

T_{g} | The overall gas temperature (K) |