A heuristic screening approach for atoms includingl-splitting

Breit and Quantum Electrodynamics Energy Contributions in Multielectron Atoms from the Relativistic Screened Hydrogenic Model

“…In Eqs. (18)(19)(20)(21), r < (r > ) is the smaller (larger) of the two radial variables r 1 and r 2 , whereas the following combinations of radial hydrogenic wavefunctions were introduced The energies are measured in Ry and…”

“…In a recent article by the present authors [17], a relativistic screened hydrogenic model with relativistic hydrogenic wavefunctions (RSHM) was developed. This method was lightly modified in order to be applied to relativistic case [18][19][20]. The main focus of this paper was on the fundamentals of the method, and an iterative cycle for the calculation of the screening parameters was necessary.…”

An efficient screening approach to be used in plasma modeling and ion-surface collision experiments

“…In the past, screening parameters were obtained using spectroscopic data, numerical calculations and theoretical approaches. A short review can be found in the paper from one of the authors [6].…”

“…The starting point is the Layzer's formulation of the Zdependent theory of the many-electron atom truncated to second order [4][5] [6]. Many authors pointed out in the past that the screening approximation is not very useful; however, that statement is not right provided that correct rules are given for calculating the screening.…”

An efficient screening approach to be used in plasma modeling and ion-surface collision experiments

“…In the past, screening parameters were obtained using spectroscopic data, numerical calculations and theoretical approaches. A short review can be found in the paper from one of the authors [6]. Screening parameters must have several indispensable properties: i) it must be derived theoretically in a neat form, ii) it must be dependent on Z and N, accounting for the contraction of the orbitals, iii) the sum given by Equation 8 must be very nearly to the value 1 2 i w i (w i − 1) {ii} + i,j w i w j {ij} ; this property is verified and it is exact for Z → ∞, when σ → σ 0 (see below, Eq.…”