Dielectronic Recombination (DR) Rate Coefficient
The total DR rate coefficient averaged over a Maxwell-Boltzmann electron energy distribution at temperature T is given by
where
gi and
gj are the statistical weights of the states
i and
j,
Eij is the resonance energy, A
jia is the autoionization rate from the states
j to
i,
Ry is the Rydberg energy,
kB is the Boltzman constant, and
a0 is the Bohr radius.
Bj denotes the radiative stabilizing branching ratio and can be expressed as
where the final states
t and
t' are below and above the ionization threshold, respectively.
Bt' is the branching ratio for radiative stabilization of
t and can be determined by evaluation
Bj iteratively.
For convenience in plasma modeling we have fitted our total DR rate coefficients by the formula
where
T is in units of eV.