Modified atomic orbital theory applied to the calculation of high-lying <sub>2</sub>(K,T)<sub>n</sub><sup>±1,3</sup>P° rydberg series of he-like ions

Abstract

P intershell Rydberg series of the helium-like ions are investigated in the framework of the modified Atomic Orbital Theory (MAOT). Highlying energy resonances of He and excitation energy of the helium-like Li + up to n = 10 are tabulated. In addition, total energy positions for lowlying states (n  4) of the helium-isoelectronic sequence with Z = 2, 3, 10 are also presented. All the current results agreed well with the published values. The data listed in this paper may be useful guideline for future experimental and theoretical studies in high-lying 1,3 P˚ autoionizing states of two-electron systems.

Energy calculations of the (2P2 1D); (3D2 1G) and (4F2 1I) doubly excited states of helium isoelectronic sequence (z ≤ 20) via the modified atomic orbital theory

“…We constructed the basis wave functions below by combining Slater-type wave function [3] and Hylleraastype wave functions [4]: 1 1 2 12 1 2 1 2 1 2 1 2 , e x p M J K jkmn r r rr r r r r r r r r…”

“…The Screening Constant by Unit Nuclear charge (SCUNC) method [12] used a semi-empirical procedure to calculate (ns 2 ) 1 S e , (np 2 ) 1 D e and (Nsnp) 1 P° excited state of He-like ions. Recently the Modified Atomic Orbital Theory (MAOT) has been applied successfully in the studies of high lying 1,3 P° of He-like ions [13]. In this paper, we apply the MAOT variational procedure, to calculate the total energies of the singlet DES 2p 2 1 D, 3d 2 1 G and 4f 2 1 I Doubly Excited States of He isoelectronic sequence.…”

Modified Atomic Orbital Calculations of Energy of the (2<i>s</i><sup>2</sup> <sup>1</sup><i>S</i>) Ground-State, the (2<i>p</i><sup>2</sup> <sup>1</sup><i>D</i>); (3<i>d</i><sup>2</sup> <sup>1</sup>&

“…In the framework of Modified Atomic Orbital Theory (MAOT), total energy of (νℓ)-given orbital is expressed in the form [1] [23]:…”

“…The Screening Constant by Unit Nuclear charge (SCUNC) method [22] used a semi-empirical procedure to calculate (ns 2 ) 1 S e , (np 2 ) 1 D e and (Nsnp) 1 P° excited state of He-like ions. Recently the Modified Atomic Orbital Theory (MAOT) has been applied successfully in the studies of high lying 1,3 P° of He-like ions [1]. In this paper, we apply the first MAOT variational procedure, to calculate the ground-state energy 2s 2 1 S and the total energies of the singlet DES 2p 2 1 D, 3d 2 1 G and 4f 2 1…”