Composition of Partially Ionized Systems Using the PlanckLarkin Partition Function of Mid‐Z ions

Abstract

We report on the composition of warm, dense plasmas of M-shell ions. Assuming local thermal equilibrium, the abundance of different ionization stages is given by a set of coupled Saha-equations. In order to avoid discontinuities at the Mott density, the partition functions have to account for pressure ionization due to continuum lowering consistently. The Planck-Larkin renormalization of bound and scattering states is well elaborated for hydrogenic systems. This paper shows the consistent extension to moderately ionized Mid-Z elements. We present results for solid-density polymere and titanium plasmas.

Ionization potential depression and ionization balance in dense plasmas

“…Instead of performing the separation (101), the chemical potential for ions is treated differently and is defined via the following relation [51] exp…”