In helium plasma, the collisional radiative model has been developed by T. Fujimoto and M. Goto. In this website, He CR-Model (Helium Collisional-Radiative Model) is based on Goto's paper [1].
Formulation I :
When quasi-steady-state approximation is valid for all states except for ground state and two metastable states, population of excited state p is expressed by
R1, R2, R3 : ionizing plasma coefficient
R0 : recombining plasma coefficient
Formulation II:
When quasi-steady-state approximation is applied to all excited states except ground state, population of excited state p is given by
R1 : ionizing plasma coefficient
R0 : recombining plasma coefficient
[1] M. Goto, "Collisional-radiative model for neutral helium in plasma revisted":, J. Quant. Spectrosc. Radiat. Transfer 76, p331-344 (2003)